diff --git "a/data/dm_maths/full_data_2/1595_11255.jsonl" "b/data/dm_maths/full_data_2/1595_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1595_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the hundreds digit of 158877?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 809 is divided by 115.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25487?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from uxgggggsgxxgsxgxu?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6854554 and -107.9.\nAnswer: -6854661.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -11*n + 3. Let f be 13\/((-910)\/20) - 60*(-72)\/28. Let b(x) = 287*x - 77. Calculate f*v(q) + 6*b(q).\nAnswer: 28*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j**2 + 19*j + 9. Let r be o(10). What is the third smallest value in -5, r, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z**2 - 2*z**2 - 17*z**2.\nAnswer: -22*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-20))\/(4\/(24\/6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11871 - 11870. Which is the nearest to -0.2? (a) -2\/23 (b) -2\/13 (c) f (d) -2\/47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4263.8487 rounded to zero decimal places?\nAnswer: 4264","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u. Let r(n) = -2*n + 3649. What is r(h(z))?\nAnswer: -2*z + 3649","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 224 = -3*i + 7*i, 5*i = -c + 262. Let p = -289636 - -289665. What is the remainder when i is divided by p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 16) in base 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -46397722745 minus 0?\nAnswer: -46397722745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3\/13)*q)**(-2\/59)*(q\/((q\/(q**12*q*q))\/q))\/(q\/q**(-2)) assuming q is positive.\nAnswer: q**(9184\/767)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11439 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 - 2*x - 3. Let c be k(3). Suppose -2*p + 4*a - 28 = -p, -p + 2*a - 24 = c. Let u = -11 - p. Solve 0*l - u = -3*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2167)\/(-1430) + 396\/(-3432)\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5242, 41757, 140732, 333355, 650814, 1124297, 1784992, 2664087?\n\"Answer: 5198*h**3 + 42*h**2 + 3*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3*u = u + 17, q - 3*u = 4. Suppose -4*t - 4*v - 8 = -t, 2*t - 3 = -v. Sort t, 6, q in descending order.\nAnswer: 6, t, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 5 = -0*f. Suppose f*y - 25 = -5. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of 37*z**2\/2 - 33. Let r(o) = 2*o. Give r(d(m)).\nAnswer: 74*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/333 and 97\/2.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2628114 - -2?\nAnswer: 2628116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) -110 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 z when three letters picked without replacement from ezzejtjeeeeee.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/12 and -5 + -4 + 306\/15.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -356*d**2*y*z**2 - 6*d*y*z**2 - 3*d*y*z + 2*d*z**2 - 8*y wrt d.\nAnswer: -712*y*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7, 1, -39, -5, 8\/5?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -33, -97, -173, -267, -385, -533, -717?\n\"Answer: -x**3 - 57*x + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -4. Let c be -1 + -1 + (-2)\/j. Suppose -4*u - 3 - 5 = c. What is the nearest to 1 in 1, u, -2\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-3) - (-690)\/(-9)*(-564)\/(-52170)?\nAnswer: -6\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -73a30 (base 16) to base 7.\nAnswer: -4011620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 211545 and 2895?\nAnswer: 40828185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 88185619 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (345\/(-30) + 10 + 1\/6*11)*6. Factor -88\/7 + 40\/7*i + 2\/7*i**y.\nAnswer: 2*(i - 2)*(i + 22)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9799 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2. Let i(n) be the first derivative of -2*n**3\/3 - 54*n + 73. Determine i(o(p)).\nAnswer: -2*p**4 - 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-20)\/12 + 2)*18. Put o, 5, 1 in decreasing order.\nAnswer: o, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - 4*a + 2. Suppose 4*r - 16 = -2*p, 6*r - 4*r + 4*p = 2. Give z(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -3*l**2 + 6*l - 2. Let d(r) = -r + 1. Let u(c) = -3*d(c) - n(c). Does 25 divide u(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/14 - (-200)\/14. Suppose -5*a = -n + 38, -4*n + 4*a = -102 + f. Let s be (-3)\/n*-11 + -2. Which is smaller: 0 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 9:36 AM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -66075\nAnswer: 1\/13215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = a + 1, 2*a + 3*a + 10 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3088 and 118309.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -616*w - 825. Let u(s) = 15*s + 20. Let r(d) = -4*f(d) - 165*u(d). Let x(v) = -5*v. Determine 4*r(c) - 9*x(c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-8))\/((-4)\/8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -404, -410, -418, -428?\nAnswer: -440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v**5))\/(v*v\/(v\/((v\/(v*v\/v**(-7\/4)*v))\/v)))*(v**(-2\/7))**(-23) assuming v is positive.\nAnswer: v**(149\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 369023 smaller than 369162?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 16598251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 79506*x**3 - 34643*x?\nAnswer: 477036*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 152670?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128 - 48 = -20*o. What is the nearest to -0.02 in -0.5, 0.5, 1\/8, o?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8877.96 + -8878. Let h = 1.1 - -0.9. What is the closest to 0.1 in -0.3, h, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + -1a?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1003 + 13969\/14. Calculate the common denominator of x and (1\/(-16))\/((42\/492)\/(-7)).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/((-15)\/6)*-1. Let b be (3 + 0)\/(2\/34). Suppose l*y - 3*w = b, -29 = -3*y - 4*w + 5. Is 18 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9450596 is divided by 210.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*n**5 + n**5 + 4*n**5 + (2*n**2 - 3 + 3)*(n**3 + 2*n**3 - n**3) + n**5 - n**5 + 5*n**5 + (-3282 + 3282 - 102*n)*(-4*n**4 + 4*n**3 - 4*n**3).\nAnswer: 418*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l - 5. Let a be (-12)\/66 + 57\/11. Let b be f(a). Suppose -3*c - 2*c - 2*g = -24, b = 5*c + 5*g - 15. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnznnnoznnnono. What is prob of sequence zoo?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 9 = 0, 0*l + 273 = 3*u - l. Is 18 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/2*-2*(-1)\/(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 6647?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2823717 and 117.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.178798 nanometers to meters.\nAnswer: 0.000000002178798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -2\/3, -2\/7.\nAnswer: -2\/3, -2\/7, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18256 and 844340?\nAnswer: 3377360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d + d + 1533 - 1533.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -7453*o + 18. Let b(n) = -1863*n + 5. What is 11*b(y) - 3*z(y)?\nAnswer: 1866*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 22512640 a multiple of 457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Solve 188201*h + 7076 = 188259*h for h.\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 3967 = u. Suppose -856 + u = -5*n - 4*l, 5*n + 5*l = -3110. What is the units digit of n\/(-7) - 3*-1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - 0)*-40 + -4. Suppose -3*x = -x - w. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6305 is divided by 76?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of 0*a**5 + 0*a**6 + 0*a**3 + 0 + 11\/12*a**4 - 47*a + 0*a**2 - 4\/21*a**7. What is the third derivative of l(t) wrt t?\nAnswer: -480*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 91982409 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.38 from 192.\nAnswer: 191.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 9385.942 nanometers?\nAnswer: 0.0009385942","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7b1 (base 15) in base 9?\nAnswer: -2344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31312 - 0?\nAnswer: 31312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2420*w**2 - 889*w + 2 wrt w.\nAnswer: 4840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.04 - -2. Let h = 1.9804 - -0.0196. Put h, a, 0.1 in ascending order.\nAnswer: a, 0.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 52.4 to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h = 4*h + 20. Let b(s) = -4*s - 3. Let g(m) be the third derivative of 5*m**4\/24 + 2*m**3\/3 - 182*m**2. Determine h*b(c) + 3*g(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3945 is divided by 1310.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30852046?\nAnswer: 2, 15426023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -182437, -182573, -182807, -183145, -183593, -184157?\nAnswer: -184843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -113424504851636 and 0.04.\nAnswer: -113424504851635.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 198 + -1306\/7. Find r, given that -20\/7*r - 160\/7*r**3 + 160\/7*r**4 + d*r**2 + 2\/7 - 64\/7*r**5 = 0.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 - -1989.\nAnswer: 1989.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of -7*j**5\/60 + 11*j**4\/24 + 35*j**3\/6 + 7*j**2. Let g(m) = -20*m**2 + 32*m + 104. Let o(d) = -3*g(d) + 8*t(d). Factor o(u).\nAnswer: 4*(u - 4)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -45 - 946429\/(-18627)\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-6)*y**(-3\/10))\/((y*(y*y\/y**4)\/y)\/(y*y\/(y*y*y\/y**4))) assuming y is positive.\nAnswer: y**(-13\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4.6, 0, 2\/11?\nAnswer: 4.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 317 or 318?\nAnswer: 317","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -96145 < -7066?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 281 is divided by 47?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, j: 10, m: 3, y: 1}. Give prob of picking 1 y and 3 j.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26260652?\nAnswer: 2, 11, 53, 11261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.04 - -1. Let d = 4 - 4.048. Let b = w - d. Round b to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 57742690514131 and 4?\nAnswer: 57742690514127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2. Let k(y) = -1244*y. Determine k(q(i)).\nAnswer: 1244*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 2 + -2 - -2 - 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3295*b - 3295*b - 65*b**2)*(-9*b + 2*b - 7*b) to a + h*b**3 + r*b**2 + z*b and give h.\nAnswer: 910","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 24952332 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -9, 7 = 2*w + 2*w + 3*h. Solve 4 = w*s + 2*t, -16 = 6*t - 2*t for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h**2 - h - 2. Let g be f(-2). Suppose 14 = 5*n - n + 5*b, -b - g = -n. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 14 + 1. Suppose -5*g - 2 = -4*y, 4*g - 21 = g - a*y. Find the second derivative of -5*u**2 + g*u + 0*u + 4*u**2 + 3*u**2 wrt u.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.465120932 to two decimal places.\nAnswer: 0.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -121 (base 4) in base 8?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -1. Let l(x) = 2*x**2 + 4*x**2 - f*x**2 + 5 + 2*x**2 + 9*x**3. Let i(t) = -13*t**3 - 7*t**2 - 7. Give -5*i(o) - 7*l(o).\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*w*x**2 - 10*w + 13*x**2 - 10*x + 36 wrt x.\nAnswer: -12*w*x + 26*x - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-18))\/(40\/(-90)) + ((-21944)\/(-32))\/13\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/((3 + -2)\/((-1)\/1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5314521.00139 - -5314308. Let w = -3.27 - 209.73. Let p = w - f. Round p to 4 dps.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4688 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 83228*f**3 + 4477*f - 2?\nAnswer: 499368*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 10 = -9*d. Is 8 a factor of (-2)\/(-3)*(8 - d)*2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 5*i**2 - 133880*i - 12089700 = 0.\nAnswer: -90, 26866","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 820965382 a multiple of 4044?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1695 and 31753.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 39 divided by 10\nAnswer: 39\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 81\/(-3)*360\/1836*17. Let s = -205 + 116. Is s equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 - 2*t + 4. Let a be k(2). Suppose x = a*x + 30. Let m be (-2)\/((16\/x)\/4). Let w(u) = -u - 1. What is w(m)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-2)*20\/105*-3\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 12. Find the first derivative of -l*t**4 + t**4 + 13 - 6 wrt t.\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 8:27 PM?\nAnswer: 8:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8447.\nAnswer: 8447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 8) to base 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 365705969 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of -55\/24*k**4 - 1\/4*k**5 + 5*k**3 + 11\/24*k**6 + 42*k**2 + 0 - 1\/14*k**7 + 0*k. Suppose o(n) = 0. What is n?\nAnswer: -1, 2\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 4*o = -30, 0*z - o = -4*z + 13. Suppose 0 = -q + 4*q. Let t(v) = q + 0*v**2 - 1 - 4*v**2 + v**3. What is t(z)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -4, -2\/41, 0?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 135309 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 90 and 218070?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -9 + -5 - (4 - (10 + -1))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 3:20 PM?\nAnswer: 8:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, x: 2}. Give prob of sequence xm.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 7, p: 2}. Give prob of picking 3 n.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -465133 (base 7) to base 8.\nAnswer: -242736","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-2772)\/(-105) - (3\/(-2))\/((-225)\/60)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x. Let l(r) = 2*r + 2. Let y(q) = 2*q + 2*q + 2*q - q + q**2 + 5. Let m(h) = 5*l(h) - 2*y(h). What is m(v(u))?\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*y**4 + 0*y**2 + 0*y**2)*(-y + y + y) + 2040*y**2 + 138*y**5 - 1022*y**2 - 1016*y**2.\nAnswer: 128*y**5 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*u = -2*u - 234. Suppose 956 + 1024 = u*j. What is the greatest common factor of j and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 851 (c) 7625\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**3 + 2*b**2 - 3*b - 3. Let k be x(-2). Let d = 0 + k. Sort d, 4, -4 in ascending order.\nAnswer: d, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/6 and 31\/1121090?\nAnswer: 3363270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -f - 3*a, 2*a - 5*a = -2*f + 7. Suppose 5*o + 25 = 12*u - 17*u, -2*u = 4*o + 6. Which is bigger: o or f?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m**2 - 105*m - 10524. Determine k(-51).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((-6*-2*sqrt(19) - sqrt(19)) + sqrt(19) + sqrt(114)\/(sqrt(6) - -2*sqrt(6)) + (3 + 2*sqrt(19))*-6)**2.\nAnswer: -12*sqrt(19) + 2917\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 - 1. Let f(v) = 9*v**2 - 4. Let g(u) = f(u) - 4*p(u). Let s(y) = -5*y**2. Calculate g(s(t)).\nAnswer: 125*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 212495, 212493, 212491, 212489, 212487?\n\"Answer: -2*z + 212497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -147897.4 + 0.1.\nAnswer: -147897.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -28*r**3. Let a = 24362 - 24365. Let d(x) = -225*x**3. Calculate a*d(j) + 25*o(j).\nAnswer: -25*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-110)*0*(-2)\/6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 632331 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -696, -6221, -21208, -50385, -98480, -170221, -270336?\nAnswer: -403553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 135257 (base 14) to base 5.\nAnswer: 132323021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 0.968?\nAnswer: -0.1936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 3*b = b + 1075, -2*a - 3*b = 411. Let l = 605 + a. Does 56 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(2\/7)*c*c*c)\/c*c)**(5\/11)\/(((c**(-1\/7)\/c)\/c)\/(c*(c*c**(-2))\/c)) assuming c is positive.\nAnswer: c**(34\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b**4 - 3340952*b**3 + 3340944*b**2 + 3340952*b - 3340948 = 0 for b.\nAnswer: -1, 1, 835237","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 63*s**3 + 124*s**2 + 59*s - 2.\nAnswer: (s + 1)**2*(63*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t, 0 = -2*g + 4*t - 6*t + 6. Suppose 0 = k - g. Suppose -q - 8 = 3*q, 2*j + k*q - 2 = 0. Is 2 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - (-6)\/3)*4. Let s = 1 - b. Let q be 1\/(-3) - 136\/s. Calculate the highest common divisor of q and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/6*4 + 1. Suppose -n = u*n - 16. Let k = 1 - 1.1. What is the nearest to k in -0.3, -0.4, n?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -133.4 - -133.7. Which is the second smallest value? (a) -150\/19 (b) j (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 129457 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 4*b - 1. Let v be p(-1). Sort -2\/3, -1, 1.2, v.\nAnswer: v, -1, -2\/3, 1.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5070649.\nAnswer: 23, 113, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -3671 greater than 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38 and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (1 - -30) + (-4 + 2 - -4) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1\/(-3) + (-740)\/(-15) + 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**5\/3 + 1244*z**4\/3 + 86112*z**3 + 5998860*z**2 + 5913162*z.\nAnswer: 2*z*(z + 1)*(z + 207)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/3 and (-15)\/(-20)*262\/45?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-174*i**4 - 278*i**2 + 278*i**2 + 2*i**2 - i**4 - 2*i**2 + (2*i**2 + 0*i**2 - i**2)*(i**2 + 3 - 3) - 5 + 2*i**4 + 5 + i**4 + 0 + 0)*(-5*i - 10*i - 7*i).\nAnswer: 3762*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 23799 to the power of 1\/2, to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5*o + 12 = 0. Let n(c) be the second derivative of -1\/135*c**6 - 1\/27*c**o + 0 - 3*c + 0*c**2 + 1\/90*c**5 + 1\/54*c**4. Factor n(z).\nAnswer: -2*z*(z - 1)**2*(z + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, 2, -3, 94 in descending order.\nAnswer: 94, 5, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -15619 - 0\nAnswer: -15619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -106, -257, -498, -871, -1418, -2181, -3202, -4523?\n\"Answer: -7*o**3 - 3*o**2 - 93*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -5*j, 5*h + j = -1 + 19. Let f(k) = 2*k + 3 + k**2 - k**h - 2*k**2 - 3 + 1. What is f(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 42 or 1\/23?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3920 - -15683\/4. Let y(r) be the first derivative of -r - 3\/2*r**2 + 19\/12*r**3 - 12 + q*r**4. Factor y(j).\nAnswer: (j + 2)*(3*j - 2)*(4*j + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (720\/(-192)*-12)\/(3\/((-9)\/(-5)))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141 = -6*t - 159. Sort t, -1, 4, 6.\nAnswer: t, -1, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.3 - -5. What is the nearest to -1 in -4, d, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -1 + (-19 - (22 + -37 + 5)) - -36\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -82 + 83. Let i(w) = 42*w + 14. Let a(j) = j. Let m(d) = v*i(d) + 4*a(d). List the prime factors of m(6).\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*m + 2*w - 57, m - 5*w = -43 + 30 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(133)*2*1 - (-2*((2*sqrt(133) - sqrt(133)) + sqrt(133)) - sqrt(133))))\/((4*sqrt(252) - sqrt(7)) + -3*-1*sqrt(7)).\nAnswer: -35*sqrt(19)\/26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112*s - 300*s - 118*s.\nAnswer: -530*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -3. Let l be (-6)\/9*(-1)\/u. Let v = 13.99 + -14. Which is greater: v or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1\/2, 2, 1\/4, -1\/19, 26362?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 262 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-3))\/((-2)\/5)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -18550*h**2 + 1119*h. Let t(w) = 7*w. Determine t(k(v)).\nAnswer: -129850*v**2 + 7833*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 728\/105*5*(9 + (-3 - 0)). What is the highest common factor of s and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - 8*k**2 + 46*k - 617. Calculate v(13).\nAnswer: 826","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 7, b: 3, n: 8}. What is prob of picking 3 n?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*y = -62*y + 78 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -2*v - 3. Suppose v*p = 26 - 116. Let w be (-200)\/60*(p\/(-5))\/(-2). Solve -w*l + 3*l - 9 = 2*c, -14 = -3*c + l for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003469417 to 5 dps.\nAnswer: -0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -366*s = -354*s - 102336. List the prime factors of s.\nAnswer: 2, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-10)\/(-6) - -1)*(-27)\/(-36). Suppose -b*u + 3571 = -3*p, u + p = -3*p + 1769. Suppose -u + 10771 = 10*m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -3. Suppose -866 = -4*d + l*q, -d + 4*q + 208 = 9. Suppose 0 = -2*s - s + d. What is s rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + 5*n**2 + 2. Let r be p(5). Let o = -1312 + 1308. Sort 4, r, o in descending order.\nAnswer: 4, r, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -0.64 (c) -8 (d) 0.6 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l*l**(-4)*l)\/l)\/l)\/(l\/l**(-3))*l**(-4\/3)*l*l**(-4))\/((l*l**(-2))\/l**(-2\/3)*(l*l*(l**0\/l)\/l)**11) assuming l is positive.\nAnswer: l**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 4*n + 2*w - 102, -107 = -3*n - 4*w. Let a = -172 + 186. Suppose -n = a*p - 377. Calculate the highest common divisor of p and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 3353*a - 5 - 28222*a + 3502*a.\nAnswer: -21367*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 187810390 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 222373064 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 u when two letters picked without replacement from hyhuohkuhuhh.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 2*v - 13, 0 = -2*v + 3*r + 15 + 10. Let s = 13 - v. Suppose 0 = 4*a + 4*y - 9*y - 39, 0 = -s*a + 5*y + 50. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 0*w - 3. Suppose -2*x - w*x = 10. List the prime factors of x\/4 - (-264)\/16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 7406?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16724 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 267 - 262. Solve -24 = 4*c - 4, 3*p + u = -4*c for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, 0.3, 0, -1\/40 in ascending order.\nAnswer: -4, -1, -1\/40, 0, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-8)*52\/(-52)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 + 5*x - 2. Let c be p(5). Sort -15, -2\/5, c.\nAnswer: -15, c, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -251\/214163?\nAnswer: -251\/214163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 24 + 3 + 1 - ((36 - 48) + 6).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1a17693 (base 12) to base 6\nAnswer: -314020303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 20076\/6453*(-12)\/14\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2\/506945, -0.077, -0.5 in ascending order.\nAnswer: -0.5, -0.077, -2\/506945, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*v**3 - v**3 - 3*v**3)*(-2413 - 2442 + 1539*v + 4874) to the form b*v**2 + x + u*v**4 + a*v + g*v**3 and give g.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1424 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.248 * 0.3401.\nAnswer: -0.0843448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 30 = 5*p, -15 = -5*h - 4*p + 11. Let b = -24 + 38. Suppose y - b = -3. What is the lowest common multiple of y and h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + 1)\/((-5)\/10). Is (-2 - 2 - y) + 165 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f - 4*f = 20. Suppose 7*j = 13 - 27. Sort f, j, 14.\nAnswer: j, f, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/10149 and 45\/6086?\nAnswer: 3633342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 2*b = -56, 3*b = 2*r - 19 - 17. Find the first derivative of r + 23*u**2 - 16 + 7 - 7*u**2 wrt u.\nAnswer: 32*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3602496?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 42 - 36. Solve -p - 10 = -4*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 4 (b) -121\/2 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 61 + -113 + -18 + 96\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 - 147*s**2 - 327*s - 5355. Calculate u(-145).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.360995 times -3?\nAnswer: -61.082985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*7 + -1 + 2. Let x(d) = -d**2 + 8*d + 1. Let u be x(s). Suppose 3*k - 58 = -u. Is 11 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l + 1. Let r(c) = 2*c - 6. Determine 3*o(f) - r(f).\nAnswer: f + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jo when two letters picked without replacement from {o: 2, a: 7, j: 11}?\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, w: 1, e: 5, t: 4, y: 1}. What is prob of sequence ty?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4652242641.\nAnswer: 3, 172305283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 + 55\/3 + 1)\/(-3) - -4.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 + 7*s**2 + 7*s. Let a be -2 - (84\/(-3) - 0). Suppose -5*j - a + 1 = 0. Is q(j) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llhlkzxxhlxhhzkk. Give prob of picking 2 l and 2 k.\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 2 - (6 + -7 + -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a microgram in nanograms?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/85 (b) 4\/147 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5 + (-7 - -60 - 8\/4). What is the greatest common factor of 345 and r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3c387a (base 14) to base 3.\nAnswer: -10220220012222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 5 (b) 9 (c) -0.5 (d) -1 (e) 24\/65 (f) 0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, 20, 5, -6, 383 in increasing order.\nAnswer: -6, 3, 4, 5, 20, 383","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 366968.\nAnswer: 2, 7, 6553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 5*i**2 + i - 13. Let j be h(5). Let n = 214 - j. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 p when two letters picked without replacement from pwgbyppwwpswypww.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 6*v = -29, 8*l + 2*v = 11*l - l + 8 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, p: 5, c: 2, f: 5, o: 1, e: 6}. What is prob of sequence cpe?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/(-10))\/((124\/9 - 14)*18\/(-5)).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 7) to base 6\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4038+0.02\nAnswer: -4037.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-2 + -3 + 1*(sqrt(180)*1)**2 + (-4 + sqrt(180) + 2 - ((-1 + sqrt(180))*-6)**2))*-6.\nAnswer: -2628*sqrt(5) + 38059","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4405 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-25)*m*m**10)\/((m*m*m**(1\/2)*m*m)\/(m*m*m**(11\/7))))**37 assuming m is positive.\nAnswer: m**(-7733\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqnqqqqqnqqqqqqqqn. Give prob of sequence nn.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 43 + 2*b**3 - 43 + (-2*b + 2*b + 4*b)*(-2*b**2 + b - b).\nAnswer: -6*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 4*k = -49 + 367, -2*h = 3*k - 614. Let r = -58 - -92. Suppose -3*x + h = 7*b - 2*b, b - 5*x - r = 0. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 1:37 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -t + 2, -3*t - 17 = -r. What is the derivative of 40*s**r - 32 - 40*s**2 + s - 2*s**4 - 11*s wrt s?\nAnswer: -8*s**3 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -92622573 and 3.\nAnswer: -92622570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + -16 + -1 + 0 + -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/168*(-64)\/13. Let m = 17861\/39 + -458. Let j = m - v. Which is the closest to 2? (a) 0.3 (b) j (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34498507429 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**2 + 0*x**2 + 9 + 5)*(2*x**3 + x**2 - x**2).\nAnswer: 4*x**5 + 28*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -10. Let k = -8 - j. Which is the nearest to -2\/3? (a) 4 (b) k (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136.03 at least as big as -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d**5 + 2*d**4 - 1025732*d**3 - 15370289*d**2 - 2 wrt d.\nAnswer: 120*d**2 + 48*d - 6154392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)\/(sqrt(45)\/(sqrt(5) + sqrt(180) - sqrt(5)) - sqrt(9)) + 1 + -4.\nAnswer: -6*sqrt(17)\/5 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g**2 + 4*g. Let h = 5 + -2. Let w be k(h). Is 1057\/5 + w\/15 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2412?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 10 = -3*r, r + 0*r - 4*s = -14. Let i(p) be the first derivative of -1\/2*p**2 + r + 0*p. Let w(f) = -5*f. What is i(w(h))?\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00160244 rounded to five dps?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 67898\/7 - 9700. What is the closest to 2 in 4, g, 64?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, u: 18}. Give prob of picking 4 u.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a tonne in kilograms?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 359095 + -206768. Let r = f + -287327. What is r rounded to the nearest 10000?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 4*a - 20 = 0. Let t(p) = -2*p**3 - 2*p**2 + 6*p + 5. Let o be t(a). What is o rounded to the nearest ten?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 36, 130, 314, 618, 1072, 1706, 2550?\nAnswer: 3634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.33278 - 1.346. Round s to 3 decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 4*n**2 + 2*n + 1. Suppose 0*p + 1 = -p. Let z be a(p). Suppose z*u - 3 = -12. Are -4 and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + 370464?\nAnswer: 370458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2187 divided by -243.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4290 and 3.\nAnswer: 4293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 17801.3 millilitres in litres?\nAnswer: 17.8013","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v - 30 = 6*v. Suppose -v*w + s + 50 = 0, -w + 2 + 32 = -5*s. Find the common denominator of 26\/71 and 3 + w\/(-84) - (-4)\/16.\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 3*n = 26. Let x = n - -13. Solve 0 = 5*j + 5, j + x*j + 3 = m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 54 = c, c - 273861 = -2*v - 273837 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*m**3 - 6*m**4 - 18*m**3)*(4*m - 2*m - 4*m) + (-2*m**3 + m**3 + 2*m**3)*(-80*m + 12*m - 80*m)*(-m - 2*m + 4*m).\nAnswer: -136*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 294121240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - 21*z**2 + 65*z + 48. Let p be i(20). Is 948 at most p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2398042543 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, b: 1, h: 7}. What is prob of picking 1 j, 1 b, and 1 h?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1153?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {y: 2, g: 1, a: 1, f: 1, v: 2, o: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 + 7. Let z = 22 - 23. Let x = -35 - -33. What is the biggest value in x, b, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-8)\/14)\/((-12828)\/(-7483)). Suppose 2*n - 4 - 4 = 0. What is the second smallest value in n, -2.8, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -223 + 846. Let z = x + 1244. List the prime factors of z.\nAnswer: 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 - 4*t + 2. Let w(i) = i**2 - 8*i + 9. Let q be w(6). Let x be m(q). Let l(c) be the third derivative of -c**4\/24 - c**3\/2 + 20*c**2. Give l(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of 53*h**3\/6 + 140*h + 4. Let d(j) = -j. Determine f(d(y)).\nAnswer: -53*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120222 + 12?\nAnswer: 121011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 155?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 4*v + t - 15, 0 = -3*v + 5*t - 10. Suppose 5*l + 2*y - 1485 = 0, -2*y + v*y + 280 = l. Is 23 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r - 2. Let x be i(2). Let y(j) = 10*j**3 - 4*j - 3. Let s(v) = 7*v**3 - 3*v - 2. Let z(f) = -7*s(f) + 5*y(f). What is z(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-8) - (-27)\/12. Let p(k) = -k - 2. Let o be p(-5). Suppose -y*s = -o - 29. What is the remainder when s is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -7377322, -14754633, -22131946, -29509261, -36886578, -44263897?\n\"Answer: -w**2 - 7377308*w - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o = -2*o - o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -117967926.\nAnswer: 117967926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3425*o + 917*o - 22572 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -128456342 at most as big as -128456343?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-10)*(-1)\/(-4).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 785?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/(-3))\/((-7)\/(-42)). Suppose -n*x + 3*r - 4 = -22, 0 = -4*x + 4*r + 36. Differentiate x*o**4 - 6 - 2*o**4 + 50*o**2 - 50*o**2 wrt o.\nAnswer: 28*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - (-126)\/3) + 3. Let c(p) = -3*p - 47*p**2 + m*p**2 + 2*p. Let r(o) = o**2. Calculate 2*c(t) + 3*r(t).\nAnswer: t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccooccccc. What is prob of picking 1 c and 1 o?\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8194368 is divided by 74494.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -22*t**3 - 6*t - 5. Let f(m) = -932 - 906 + 1837 - 6*m + 5*m. Determine 6*f(y) - o(y).\nAnswer: 22*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - (-3 + 7))\/(-1). Suppose m + 3 = -2*m. Let c be (-10)\/(-6) + m\/(-3). Sort 0, c, v in descending order.\nAnswer: v, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*g - 0*g + 9 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/5 of a tonne?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -188*s**2. Let h(d) = -25495*d. Calculate h(x(w)).\nAnswer: 4793060*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1268\/14582*(-483)\/9\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33 and 418?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 9:00 PM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 108, 413, 902, 1569, 2408?\nAnswer: 3413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*h + 110*h - 4*v = 4, 0 = h + 3*v + 8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*l - 2*l + 2*l)*(5 - 13 - 28) in the form n + f*l and give f.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 814.59818 + -815. Let g = d + 2.97472. Let w = 0.0429 - g. What is w rounded to 1 dp?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 13, -9, -53, -125, -231, -377, -569, -813?\n\"Answer: -v**3 - 5*v**2 + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-15 - 16\/(-2))\/(-2 - -1). Suppose 12*s - v*s - 68 = 2*j, -3*s = 4*j - 46. Calculate the remainder when 44 is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/5 - 273\/(-35). Sort r, 5, -1.\nAnswer: -1, 5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j - 8*j + j - 2*j + 1 - 1 + (-3 + 5 - 4)*(2*j + 4*j - 5*j) - 3*j + j + 3*j + 4 - 4*j + 5*j - 3*j + 6 - 3 + 3*j + 3 to the form l*j + n and give l.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 1238*x = -29760 for x.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.08? (a) -13 (b) 4 (c) 2\/3 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 1 - 2)*(5 + 0 - 3)*(-c**4 + 0*c**4 + 2*c**4) in the form x*c**4 + m*c + i*c**2 + y*c**3 + h and give x.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express z**3 + 4*z - 4*z + (-z**2 - z**2 - 4*z - z)*(-13*z - z + 0*z) in the form w*z + f + p*z**2 + r*z**3 and give r.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111692 is divided by 37175?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17476 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d - 60. Let v be p(19). Let f = v + 43. Factor 1\/3*o**f - 2\/3*o + 0.\nAnswer: o*(o - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -43.183 to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -112 + 12 + -6 + -5 + (27 - 58) + 21.\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 4*s = -10, -2*s = -3*f - 4 + 19 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of -31*l**7\/42 - 5*l**4\/2 + l**2\/2 - 101*l. Find the third derivative of i(s) wrt s.\nAnswer: -1860*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 53 - 52. Let o(b) = 352*b**2. Let l be o(i). Suppose 4*a - 160 - l = 2*p, -5*a = 5*p - 640. Is a a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -3*w - 1. Let a(f) = -6*f - 2. Calculate -4*a(r) + 9*u(r).\nAnswer: -3*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 614859 divided by -3.\nAnswer: -204953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10208 is divided by 38?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -143 - -146.58. Let w = t - -0.42. Which is the nearest to -1? (a) w (b) -4 (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 595 - 609. Let k be -2*(-4)\/(-56)*a\/18. Solve 1\/9*t**3 + 1\/9*t**4 + 2\/9 - k*t - 1\/3*t**2 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 101 - 50. Suppose 13 = -r + y. Let m be (r\/4)\/((-3)\/(-6)). Which is greater: 20 or m?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/3514205 and 4\/3331?\nAnswer: 3514205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*(y**2 - 4*y**2 + y**2) + (-260*y + 1179*y + 128*y)*(0*y + y + 2*y).\nAnswer: 3139*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -235.5621 + 0.0621. Let w = x + 235. Which is the third biggest value? (a) -33\/4 (b) w (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*f + 5 = -5*p, 2*p = 6*f + 396 - 398 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s**3 + 219*s**3 + 94*s**3 + 1 - 1 - 2*s**3 + (0*s**2 - 2*s**2 + 3*s**2)*(-19*s - 21*s + 12*s) in the form l*s + o*s**3 + j*s**2 + f and give o.\nAnswer: 281","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/41*(-74604)\/8 + 0. Let b = -455 - k. Which is bigger: b or -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -174274.9 rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 163\/(22005\/1782)*5\/(-3)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105 is divided by 103?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14741 divided by 8.\nAnswer: 14741\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10110101011010010 (base 2) to base 12.\nAnswer: -45902","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 141 = -3*b - 135, 0 = -4*b + j + 14 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 93*m - 86*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(1\/3)\/z**(-1)*(z**2)**(-2\/7) assuming z is positive.\nAnswer: z**(16\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2107 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.8 - 3.16. Suppose -152*k = -142*k. Which is the third biggest value? (a) 0.4 (b) d (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 938 + -427. Is m a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 115466366?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*1*(sqrt(65)*1 + sqrt(65) - sqrt(65)))\/((sqrt(420)\/(sqrt(7) + sqrt(63)))\/sqrt(12)))**2.\nAnswer: 1872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3)\/(r*r*r**3*r*r)*(r*r**(-5))**(-25))**(-3\/7) assuming r is positive.\nAnswer: r**(-270\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9631?\nAnswer: 9631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-1 + 5 + -1 + (0 - -1)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 0)\/(10\/(-4785)*-3). Calculate the highest common divisor of 29 and h.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 6356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.8, 5, 0.08, -659, -1\/6?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 10424579?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 142805371 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 126 + -1?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 189 and 1615101?\nAnswer: 101751363","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/9 + 75\/(-27). Let x = 1 - q. Suppose -5*t = -5*a, x*a + 0*a - 24 = -4*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 402980?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (4 + (-2 - (-6 + 1)) + -12).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cyyyccccpcppyj. Give prob of picking 1 p, 1 j, and 1 c.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -363402988074 - -129?\nAnswer: -363402987945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.7011404 rounded to one decimal place?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 5 + sqrt(500) + sqrt(500) + -5)**2*3.\nAnswer: -240*sqrt(5) + 6012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f = 36*f - 211 - 477. What is the least common multiple of f and 488?\nAnswer: 976","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*1*sqrt(3))**2 + -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -152*u**2 + 2 + 0*u**6 - 77*u**2 + u**6 - 160*u**3 - 2*u**6 wrt u.\nAnswer: -120*u**3 - 960","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 + 312 = 6*b. Suppose 4*u = b + 21. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 611996914?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 585 divide 28051095?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8813 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 34297 to the power of 1\/2, to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*z - 79 - 7 = 23 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25298?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -3. Suppose -5*p = 5*m - 20, 18 = -3*m - 0*m + h*p. Is (4\/8)\/(m\/(-26)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 153\/800?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-7) + 60\/35. Suppose 67410 = -p*i - 5*i. Round i to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/((-3025)\/88))\/((-6)\/(-15))\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 + 12965*c - 5761*c - 6 + 1)*(-2 + 2 + c) as r + y*c + j*c**2 and give j.\nAnswer: 7204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2257703 and -0.4.\nAnswer: 903081.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 - 27. Let y = -19766 - -19805. Let k = y - j. Is k a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -32*a - a**3 + 2*a + 9*a + 5*a - 15*a**2. Let o be z(-14). Are -0.06 and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1382, -2886, -4394, -5906, -7422, -8942, -10466?\n\"Answer: -2*i**2 - 1498*i + 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -10*j - 48. Let v be o(-5). What is the first derivative of -v*x**2 - 3*x - x**2 + 7*x + 28 + 3*x wrt x?\nAnswer: -6*x + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -5, -3\/2, 5\/4, -20196.\nAnswer: -20196, -5, -3\/2, 0.3, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - f + 10 = 0, -4*q = -q - 3*f for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 515 and 34396.\nAnswer: 17713940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 460849021 or 921698043\/2?\nAnswer: 921698043\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3697185 a multiple of 153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 + 13*h**2 + 12*h + 3. Suppose 0 = 5*f + 27 + 33. Let c be d(f). Let w be (11\/(-11))\/(c\/2). Which is greater: -2 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 942117.811 to the nearest one thousand.\nAnswer: 942000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-32)\/8 - 6\/(3\/3). Let i be ((-16)\/m)\/(((-8)\/(-308))\/(-1)). Let d = -14471\/235 - i. Which is greater: -1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -337.8 - -338. Which is the third biggest value? (a) -3 (b) -10 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d - d - 3*o - 13, 4*d - 2*o + 18 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**9\/(p\/p**10)*(p\/(p*p**(-1\/3)))**38 assuming p is positive.\nAnswer: p**(92\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 408969.\nAnswer: 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + 7*r**2 - 5*r - 6. Let p(d) = -d**3 + 7*d**2 - 6*d - 8. Let h be p(6). Let n = h + 18. What is the remainder when v(5) is divided by n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 95\/(-105) + 24\/42 - 4\/42?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4117 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 + 5*r + 6. Let q be u(-4). Is -2*q*(-1348)\/16 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7843\/15 or -524?\nAnswer: -524","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 7) to base 6.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z**2 - 591701*z**3 + 591709*z**3 + 23*z**2.\nAnswer: 8*z**3 + 21*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/(-32) + (-9)\/24. Solve -5*a - 2*z + 3 = 0, a - 2*z = -9 - g for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != -7\/2357?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 48, 82, 116, 150, 184?\n\"Answer: 34*v + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 46*d + 48*d + 2, -15 = -j - 5*d. What is the nearest to 1\/3 in 25, j, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 511 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 + 69*z - 434. Let g be c(62). Solve 0*v**3 + g - 2\/11*v**5 - 4\/11*v**2 + 4\/11*v**4 + 2\/11*v = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -23. Suppose 0 = -0*z + 3*z + 3*t - u, t - 13 = -4*z. Suppose 44 = z*s + 2*a + 6, -2*a = -s + 2. Calculate the greatest common factor of 25 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1506 (b) -0.03 (c) 0.2 (d) -16 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1163 - 1166 + 34*t - 1167 + 3496.\nAnswer: 34*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17220 and 13735.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 85 - 77. Suppose 3*h = 4*h - o. What is the remainder when 95 is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 982.1 - 977.1. Suppose -12 = -5*d - 2. Let o be 1\/d + (-10)\/12. What is the nearest to o in l, -0.8, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.5534 - -1.9534. Which is the nearest to 1? (a) 2\/15 (b) 5\/3 (c) y (d) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4916*w - 4903*w - 96564 = 0. What is the highest common factor of 24 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1866, -17, 4, 23.\nAnswer: -1866, -17, 4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -5*p + 84, -4*s = 2*p - 6*p - 84. Does 3 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c - 3*c - 2*c)*(0 + 0 + c**2) + 179*c**3 + 274*c**3 - 344*c**3 + 71*c - c**3 + 41*c**2 - 71*c.\nAnswer: 107*c**3 + 41*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1287 = 65*m - 164*m for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/24)\/(95\/7600).\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 1:03 PM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 12. Suppose -d = h*k - 3*k - 60, 2*k - 52 = 5*d. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 - 3*i**3 + 14 - 8*i**2 + 5*i**2 + i**2 + 3*i**2 + 8*i as o*i**2 + v*i**3 + d + p*i and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12227 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/(p*p**(-2)*p)*p*p)**48)**(-1\/3)*((p\/p**(2\/11))\/p**(-7))\/(p**0*p**(-1\/6)) assuming p is positive.\nAnswer: p**(-3697\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1239 + -1154. Calculate the greatest common divisor of 119 and v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1197 + 8?\nAnswer: 1205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*s**2 + 1533438*s - 195952674987 = 0. What is s?\nAnswer: 255573","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3372.68679 rounded to the nearest 100?\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/111194 and 51\/12826.\nAnswer: 13454474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 5*h**2 - 3*h. Let c be 110\/8 - (-1)\/4. Let q(d) = -d**2. Let k(n) = c*q(n) + 2*a(n). What is the second derivative of k(v) wrt v?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (9 - 4 - 4)*(4 + -3). Let j(h) = 104*h + 1 - 107*h - a. Let r(x) = -16*x**2. Determine r(j(k)).\nAnswer: -144*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g - 6*g + 5*g + (2 - 2 - 2)*(-4*g + 6*g - 3*g))*(160*g + 157*g + 215*g).\nAnswer: 2128*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -19. Let n = -15 - y. Which is the closest to n? (a) 2\/5 (b) 4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45930 and 4758?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -3*u**5 - 33*u**4\/5 - 21*u**3\/5 - 3*u**2\/5 = 0.\nAnswer: -1, -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.25 and -1977.950793.\nAnswer: -1977.700793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53 - 53 + 4*j - j.\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - (-987)\/(-70)) + 64719\/(-810).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26561\/14 + -1895. Find the common denominator of 65\/8 and h.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.222 + -0.018. Let n = g - 3.76. Which is the third biggest value? (a) -5 (b) -3\/7 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6*1\/(9\/6) + 4. Solve 0 = 4*d - 6*d + a for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -4*q + 9. Let a be f(5). Let t = -3 - a. Suppose -25 = -5*c + 2*j - j, -3*c - 4*j - t = 0. Are c and -1\/2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8*5\/(-60))\/(-4 + (-138)\/(-36)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 + -2 - (-244 - -235)) + -147 + -3?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.426272 litres in millilitres?\nAnswer: 6426.272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -107.2 + 574771.\nAnswer: 574663.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 1:55 AM?\nAnswer: 8:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u - 3*a = -0*a + 117, u - a = -13*u + 3*u + 8*u + 59 for u.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - 6. Let p = r + 13. What is the third derivative of -6*c**2 - 2*c**5 + 8*c**2 + 0*c**p wrt c?\nAnswer: -120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + 6*f**2 + 2*f + 5. Let y be l(5). Let m be 6\/4 + (-1926)\/(-12). Suppose 5*r = m + 338. What is the greatest common divisor of y and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -4*g**5 - 6252*g**4 - 2851628*g**3 - 305036580*g**2 - 302191200*g = 0?\nAnswer: -705, -152, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1230, -2472, -3726, -4986, -6246, -7500?\n\"Answer: z**3 - 12*z**2 - 1213*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-228)\/(-14) - (120\/(-42))\/(-10). Suppose -19*k = -h*k - 594. What is the highest common factor of 33 and k?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -42*s - 246. Let x(n) = 17*n + 98. Let h(k) = -5*i(k) - 12*x(k). Let u be h(-9). Solve m + 4*l - 11 = u, -4*m - 1 = -l + 2*l for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 0.01, -3\/7, 1, -1\/3, 0.009?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6432 rounded to the nearest one hundred?\nAnswer: -6400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10 or -28\/3?\nAnswer: -28\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/7? (a) 2 (b) -1\/3 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 140 and 140.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(208) + (3 + sqrt(208) - sqrt(208)) + sqrt(208).\nAnswer: 2 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-570193)\/(-130) - (2 - (-57)\/(-30)). What is the third derivative of -d*o**3 - 102*o**2 + 4386*o**3 + 5*o**5 - 5*o**5 - 197*o**6 wrt o?\nAnswer: -23640*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -4*x - 3. Let r be ((-3)\/6)\/((-1)\/(-190)). Let q = -96 - r. Let y(l) = l + 1. Give q*m(v) - 2*y(v).\nAnswer: 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cmmcrrstsisrmcrmrr. What is prob of sequence rcrr?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -9.8 times -894\nAnswer: 8761.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 12834579 - -2?\nAnswer: 12834580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (3 + -1 + -4 - -4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9941 + -9646. What is the highest common factor of t and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + f + 18. Let j be (0 + -6)*(-6)\/f. Let b = 0 - -1. Sort 5, j, 2, b in decreasing order.\nAnswer: 5, j, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186 is divided by 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -57 + 49.5. Let t = o - -8. What is the closest to -1.2 in 4, -2, t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + 5. Let r(d) = -d - d - 104 + 110. Give r(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2237961?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5892 + -3000. Is z a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -35? (a) -2772 (b) -1 (c) -0.065\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*o - x, 10 = -4*o - o - 2*x. Suppose 2*w + 40 = -3*p + 108, 86 = 4*p - 2*w. Calculate the remainder when p is divided by (9\/12)\/(o\/(-32)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j**3 - 166*j**2 - 173*j - 225. Calculate the remainder when r(-82) is divided by 30.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2267*f**2 - 9178*f - 20. Give z(-4).\nAnswer: 420","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4322 - 3608. What is the smallest common multiple of f and 30?\nAnswer: 3570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s**2 + s. Let f(l) = 8*l**2 - 22*l + 29. Let w(i) = -f(i) - 5*t(i). List the prime factors of w(-18).\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -63 - -65. Suppose -3 = 5*y - 8. Sort y, c, 8 in decreasing order.\nAnswer: 8, c, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6282903?\nAnswer: 3, 11, 190391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, -3, 780, -2?\nAnswer: 780","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10318531 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-96)\/112)\/(2\/(-28)). Solve 19 = -4*w + 3*n - t, 0 = -3*w + 2*n - 22 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14423 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -29045162*g**3 + 23241840 with respect to g.\nAnswer: -87135486*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 13*t - 18*t + 29, -5*t = -4*p + 43. Solve p*h - 14*h + 3*y + 17 = 0, -2*h - y + 5 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5574 + -3477. What is the thousands digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98*(-13)\/338*5\/(105\/6)?\nAnswer: -14\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of -17*k**4\/6 + 13*k**3\/2 + 38*k**2. What is the derivative of l(y) wrt y?\nAnswer: -68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 38497 + -38494. Sort c, -5, -205.\nAnswer: -205, -5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28 - (35 + (-15576)\/248)\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.866 - 0.134. Sort f, 2\/43, -0.4 in ascending order.\nAnswer: f, -0.4, 2\/43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8818824 divided by -1.\nAnswer: 8818824","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 4 = 2*y - 3*y, -5*q + 4*y = -7. Let z(a) = a**3 - 20*a**2 - 20*a - 16. Let k be z(21). Solve -10 = -q*v + k*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/3*((-45)\/(-6))\/5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -27*i - 1. Suppose 3*o - 3 = -2*o + 2*w, 0 = o - w - 3. What is the tens digit of g(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -884*d + 1820*d + 2202*d.\nAnswer: 3138*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-2*sqrt(17) - ((3 + sqrt(612))**2 - sqrt(17)).\nAnswer: -621 - 41*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -174 + 426. What are the prime factors of n?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -171 - 272 + 110 + 2*b.\nAnswer: 2*b - 333","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -0.29.\nAnswer: -0.087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*((-30)\/18)\/((-20)\/4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 11799 - -17387224156\nAnswer: 17387235955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of -10*r + 0*r**5 + 0 - 1\/30*r**3 - 1\/30*r**4 + 0*r**2 + 1\/210*r**7 + 1\/75*r**6. Let x(j) = 0. What is j?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -268.7, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -500\/3 + 100\/3*p - 5\/3*p**2 = 0.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -4*y + 2*g + 12, -y - 6 = 4*g. Let m be (4\/2)\/(15\/6). Suppose -2\/5*k**y - 2\/5 + m*k = 0. What is k?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001378254465 rounded to 7 decimal places?\nAnswer: -0.0000138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1394, 5559, 12500, 22217?\n\"Answer: 1388*u**2 + u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -83.\nAnswer: -166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 22649 divided by -11?\nAnswer: -2059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16.9 - -18. Let j = b + -7.1. Let q = -2 - j. What is the second biggest value in 1, q, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30188, 30192, 30198, 30206?\nAnswer: 30216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z**2\/4 - 109*z + 87\/4 = 0 for z.\nAnswer: 1\/5, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*y**4 - 1 + 3 - 4 + 3*y**3 + 2*y - 5*y**4 to k*y**2 + p*y**4 + s*y**3 + n + b*y and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 24\/56*7 - -279. Let p be s\/(-1316)*8\/6*-1. Sort 14, 2\/15, p in descending order.\nAnswer: 14, p, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - -8. Calculate the remainder when j is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(2 + (-115)\/57). Suppose -59 = -6*d + 55. Calculate the greatest common factor of g and d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/4 - 87*f**2\/4 - 8560*f + 159669.\nAnswer: (f - 226)*(f - 18)*(f + 157)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3114 (base 5) to base 9.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001201356 to 5 dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 11*q - 43. Let k(g) = 4*g - 14. Give 8*k(y) - 3*v(y).\nAnswer: -y + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/24*80\/40*2\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 5*m = 20, -13852*q - 25 = -13848*q + 5*m for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 14*c**5\/17 - 32*c**4\/17 - 202*c**3\/17 + 60*c**2\/17 = 0.\nAnswer: -3, 0, 2\/7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/36)\/((-20)\/6).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -1 (c) 6.31 (d) 1 (e) 4.9 (f) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -2*k - 4, -5*k - 7*p = -3*p - 32. Suppose -4*g = -12, -k*q + 21 = 5*g - 6. Solve f + q = -2 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**2 - 5*x**3 + 2 - 2*x + 6*x - 1. Let v(o) = o**3 - o. What is b(t) + 4*v(t)?\nAnswer: -t**3 + 2*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1717?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*h + 8103 = -0*h + 8093 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 3:57 AM?\nAnswer: 7:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/11868578 and 79\/11868578.\nAnswer: 11868578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 + 33 - 51585*g - 70.\nAnswer: -51585*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, i: 3, t: 7, r: 1, l: 2}. Give prob of sequence lr.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10685? (a) 5 (b) 3615 (c) 2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3 = 6. Suppose 3*p - 8*j = -9*j + 133, 5*j - 170 = -4*p. What is the highest common factor of y and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 - 3*a**2 + 3*a + 2. Let i be (-3 - 2) + (-4 - -5). What is s(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 746992526 to the power of 1\/3, to the nearest integer?\nAnswer: 907","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1206.1 + -1206. Which is the third smallest value? (a) p (b) -0.3 (c) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -16*q - 4. Let n be s(-3). Suppose -3*z + n = 2. Calculate the greatest common divisor of 49 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.5 and -4917?\nAnswer: -17209.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 2*y + 3)*(-166*y**2 - 25*y + 77*y**2 + 87*y**2 - 3) to the form l + o*y + d*y**2 + i*y**3 and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in nineteen quarters of a century?\nAnswer: 5700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence awt when three letters picked without replacement from {a: 2, t: 5, n: 2, k: 1, w: 2, j: 5}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 5*t = -9, -4*t + 3 - 27 = -2*h. Let s = 1 - 8. Let k = 6.7 + s. Which is the third biggest value? (a) 0.5 (b) h (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/21 - (-2)\/7. Let k = -9.9 + 10. Let v = 0.18 + 0.02. What is the third biggest value in v, h, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*z**3 - 5*z**3 - 56*z**3 - 9*z**2 + 334.\nAnswer: 2*z**3 - 9*z**2 + 334","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2 + 40 - 110 + 46 - q**3 + 20*q.\nAnswer: -(q - 2)**2*(q + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*u**5 - 154842*u**3 + 34630*u - 2 wrt u?\nAnswer: 40*u**3 - 929052*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -20*k**2. Let n(b) be the third derivative of 2*b**4\/3 + 505*b**2. Determine n(i(l)).\nAnswer: -320*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -2 - (-1 - 3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 575 divide 939775969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -760*r. Let g = 2111 + -1978. Let u(v) = 23*v. Determine g*u(t) + 4*j(t).\nAnswer: 19*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 2*a - 6 = 8, 4*f + 3*a - 7 = 0. Let m(n) = 2 + 2*n**2 - n**2 + n + n + 6*n**2. Is m(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of 223*p**3\/6 - 432*p**2 + 986*p. Differentiate w(z) wrt z.\nAnswer: 223","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/78 - 150\/(-39). Let v be p + 1*-8 - 78. What is the units digit of (-8)\/6 - v\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15926 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: Rearrange -24*g**2 - 5*g + 78*g**2 - 74 + 20*g - 26*g**2 - 26*g**2 to the form c*g + p + f*g**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(252) + -2 + 0.\nAnswer: -2 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**6*m**(3\/5))\/(m*m**(-1\/2))**16)\/((m*m**(1\/4)\/m)**(2\/13)*(m\/(m\/m**0))**(4\/9)) assuming m is positive.\nAnswer: m**(-187\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 - 2*z**2 + 1. Let m be h(-2). Let b = 0.2 - 1.2. Which is smaller: m or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of f**6\/320 - 11*f**5\/160 - f**4\/64 + 11*f**3\/16 + 546*f**2. Solve x(v) = 0.\nAnswer: -1, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42095 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33 - 33. Suppose 6*u + 73 + 77 = a. Is (1\/2)\/(u\/(-219050)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25.96 + -26. Let p = 22.04 + s. Is 0.1 <= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 1*sqrt(3) - (sqrt(48) + 4).\nAnswer: -6 - 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5 + 4)\/(1\/(-28)). Let t = y - 19. Suppose -5*q = -2*o - 49, -t - 6 = -q + 3*o. Is 11 at least as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6080051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 4*o + 2 = 0, 0 = -6*y + 2*y - 5*o + 29. Let h(s) = s + 1. Let j(f) = -9*f - 5. Calculate y*h(x) + j(x).\nAnswer: -3*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11206 and 49784810.\nAnswer: 862","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 166\/13 or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23542 and 89102?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43728.\nAnswer: 2, 3, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1224 and 6664?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 108 = -88. Let a be (-1)\/(-1)*2 - 8\/i. Let r(g) = -g - 5. Give r(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 + 5*x**2 + 5*x. Suppose -17 - 73 = -5*k. Let n = k + -21. Let p be j(n). Solve p*d = -d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 18 = 15*i. Let j be (-2)\/1 - (64 + i\/2). Let y be j\/(-15) + (-4)\/12 + 1. Solve 2*w + 16 = -3*o, -2*w + y*w = -5*o - 26 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -17\/5, -5, 2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (3 - (-2 + 6))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -180, 45, 7 in descending order.\nAnswer: 45, 7, -4, -180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -307 = 54*x - 101 + 10 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -3*a**3 + 24879*a**2 - 99432*a - 298404 = 0?\nAnswer: -2, 6, 8289","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-368)\/(-64) - (-1)\/4. Suppose -148 + 16 = -g*b. Which is greater: 26 or b?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7.1 + -7.09812. Round h to 4 decimal places.\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -362, -363, -364, -365?\nAnswer: -366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1573))**2 + 1.\nAnswer: 6293","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -134, -95, -56, -17, 22?\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 302, 602, 902?\nAnswer: 1202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 997512, 1995025, 2992538, 3990051, 4987564, 5985077?\n\"Answer: 997513*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 284887212 a multiple of 100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5457514.5 milliseconds?\nAnswer: 1.51597625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -11*x**3 - 17*x**2 + 13*x - 23. Let f(i) = -5*i**3 - 8*i**2 + 6*i - 11. Let b(p) = -p**2 - 3*p - 2. Let o be b(1). Calculate o*t(y) + 13*f(y).\nAnswer: y**3 - 2*y**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-1*2) + 6. Let n be (a\/5)\/((-4)\/(-30)). Is 2 a factor of n\/9 + 19\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -9*i - 2. Let f(p) = 8*p + 1. Let j(b) = 7*f(b) + 6*l(b). Give j(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 60490, 120961, 181432?\n\"Answer: 60471*n + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 2*z + 5*j, -3*j - 19 = 5*z - 7. Suppose k = -z*k + 4. Let f(w) = -w**3 + 3*w**2 + 3*w - 4. Determine f(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*u**4 + 11*u**4 + 57*u**4 + (-3 - 1 + 5)*(-2*u**3 - u**4 + 2*u**3) to the form y*u**3 + q*u**2 + s*u + r*u**4 + j and give r.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 105740 - 73387. Suppose 5*l - 2682353 = -m. Round l to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -c63 (base 15) in base 10?\nAnswer: -2793","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 40*(1 - 6\/12). Let x be (3\/(-6))\/((-2)\/n). Solve x*t - 3*v - 24 = -0*v, 2*t = -2*v for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -47*y**2 - 33 + 262*y - 46*y - 7*y**3 - 66*y - 63. Let x(h) = -6*h**3 - 46*h**2 + 148*h - 96. Let a(d) = -4*n(d) + 5*x(d). Factor a(t).\nAnswer: -2*(t - 2)*(t - 1)*(t + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x - 2093*x**2 - 3*x + 3*x.\nAnswer: -2093*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 36844.\nAnswer: 184220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91376751.\nAnswer: 3, 17, 1791701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*l + 295 = -5*y, -41*y + 3*l - 19 = 34*y - 107*y + 34*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 3, 37 = 2*q - 3*p + 8. Let k be 1\/(-3) + q\/3. Suppose k*n = -n + 20. Let t(h) = -h**2 + 3*h + 5. Determine t(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -1896*r + 3592. Let m be b(19). Round m to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-15))\/(w**(1\/17)\/w) assuming w is positive.\nAnswer: w**(288\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of t**4\/72 + t**3\/36 - 4*t. Factor r(g).\nAnswer: g*(g + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 54 + -60. Suppose 0 = 2*p + 3*w - 40, 4*w = p - w + 6. Let d = p + k. What is the least common multiple of 22 and d?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**2 + 1492*z + 10493 = 0. Calculate z.\nAnswer: -7, 1499","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1254158075.86 minus 447?\nAnswer: 1254157628.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-10))\/(6 + 456\/(-80)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c + 4. Let p be n(0). Suppose o = 3*s, 5*o - 2*o = -p*s. Suppose s = -j + 4*j + 22200. What is j rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -682, -665, -646, -631, -626, -637, -670?\nAnswer: -731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**2 + 14956*y - 6401115 = 0. Calculate y.\nAnswer: 441, 14515","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -208 or -1033\/5?\nAnswer: -208","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 + q**2 + 121*q + 594. Let b be d(-5). Solve -147*v + b*v - 56 = 0 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3933470 or -3933468?\nAnswer: -3933470","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -379, -386, -393, -400, -407, -414?\n\"Answer: -7*q - 372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-522)\/(-783))\/((-2)\/129)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1809 and 268.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25789560?\nAnswer: 2, 3, 5, 214913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t + 11. Let w be h(-12). Let d = 1 - w. Suppose d*r = -r + 33. What are the prime factors of r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4146, -3424, -1404, 2562, 9122, 18924, 32616?\nAnswer: 50846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 5\/3 (b) 2\/25 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 5*l + 18 = 0, -267*n + 269*n = -5*l + 24 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 - 29*m + 2. Let i be w(-29). Let x(n) = -2*n**3 - 2*n**2 - 2*n + 3. Let b(p) = p**2 + 0*p + 1 + p**2 - p - 3*p**2. Calculate i*b(d) - x(d).\nAnswer: 2*d**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10882*g + 201780 = -980*g + 410057 + 610201 for g.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 92 - -104) + 59?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 65 = -4*m - 52, 3*v = 3*m - 21. Suppose -m*i + 32206 = 5*s, 8047 = 5*i - 4*i - s. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, x: 1, e: 1, h: 5}. What is prob of sequence hx?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -926.96 + 18.96. Let z = f + 907.763. Are z and -0.2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1e + b?\nAnswer: 2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 6, -5*y = 2*o - 0*y - 32. Suppose -5*p + 104 = 3*p. What is the remainder when o is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 45, -166, -373, -576?\n\"Answer: 2*c**2 - 217*c + 260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2139 divided by -69.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -78*a + 89*a - 34980. List the prime factors of a.\nAnswer: 2, 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 106820 - 58843. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 119*z**2 - 49*z + 196. Let c(b) = 12*b**2 - 5*b + 20. Let q(s) = 49*c(s) - 5*w(s). Let l(p) = 159*p**2. Determine q(l(d)).\nAnswer: -176967*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaaaeaaaaaaaeaaaa. What is prob of picking 2 e?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 13, 10, 3\/7?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/3811969 and 7\/309858623.\nAnswer: 2169010361","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 4)*(5 - d**4 + 1 - 3).\nAnswer: 2*d**4 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 180 and 8987230.\nAnswer: 161770140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1121002 (base 3) in base 7?\nAnswer: -3251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -356*i + 18796 = -102*i for i.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31 - 36. What is the second smallest value in 0, -0.02, l?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1)\/d)**7*(d\/d**(1\/5))\/d*d**6)\/(((d\/(d**(-2\/7)*d))\/d)**4*(d\/(d*d**1))**(8\/7)) assuming d is positive.\nAnswer: d**(-21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 104.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 659, 17, 18, -57\/7, -1\/4 in ascending order.\nAnswer: -57\/7, -1\/4, 17, 18, 659","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 8 + 8)*(4 + 0 + 1)*((3*i + 2*i - 4*i)*(0 + 8 - 4) + 0*i + 0*i - i) to w + t*i and give t.\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 3*f - 9. What are the prime factors of h(5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 - 8 = -b. Calculate the highest common divisor of b and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 148, 161, 176, 193, 212, 233, 256?\n\"Answer: s**2 + 10*s + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(112) + 0 - (-1*sqrt(1008) + -5))**2.\nAnswer: 160*sqrt(7) + 1817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*x + 140 = 16*x. Let i = x + -48. Calculate the lowest common multiple of 52 and i.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/72 and -11\/270?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5112 is divided by 1699?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 + 6*y - 6. Let s be f(3). Solve 4 = -2*q, -2*q - q - 21 = s*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of 18 + 10\/3*w**3 + 3*w + 0*w**2 + 1\/4*w**4. Let s be a(-10). Solve -2 = -p - s for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.21 - -0.21. Let x = -5 - l. What is the third smallest value in 2, x, -2\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2168, -215, 137 in ascending order.\nAnswer: -215, 137, 2168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -69305, -138704, -208091, -277460, -346805, -416120, -485399, -554636?\nAnswer: -623825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 162038 (base 13) to base 11\nAnswer: 344054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 863 and -0.09.\nAnswer: -77.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3825 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -54 - 14*w**4 - 269*w**4 - 100 - 67 wrt w?\nAnswer: -1132*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 2*m - 3. Determine r(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 - 27*d**2 + 27*d - 24. Let b be s(26). What is the third biggest value in 0.04, b, 5?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 70248 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 4 - 4 - (0 - -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 53806 and 6?\nAnswer: 161418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/636)\/(4\/(-12)). Is s bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + (2 - 13) - -10 - -18 - (58 - 2)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 374 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 5, 0, -1.4, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s - 147. Let j be a(0). Let t = 49 + j. Let r = t - -167. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1872\/(-180))\/((-4)\/50) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 4*l = 17, 4*k + 4*l - 4 = -8. What is the tens digit of 28\/(-7) + (767 - k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u - 6. Let y(i) be the second derivative of i**4\/12 + i**3 + 17*i**2\/2 + 2523*i - 2. Give 11*o(f) + 4*y(f).\nAnswer: 4*f**2 + 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.9950171 times 0.2?\nAnswer: 0.59900342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**2 + c**2 - 3*c**2)*(-1 + 3 - 6)*(2 - 2 + 10*c**2).\nAnswer: 80*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j + 3*u + 15, 2*j - 4*u - 10 = 10 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 17561172 (base 9) to base 14\nAnswer: 1261086","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -153, 4, 0, -7 in decreasing order.\nAnswer: 4, 0, -7, -153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 2\/15, -17\/26 in increasing order.\nAnswer: -17\/26, 2\/15, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 358 is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 38 + 36. Let r(o) = -63*o**2 - 61*o + 9. Let k(t) = 16*t**2 + 15*t - 2. Let s(b) = f*r(b) - 9*k(b). Find the second derivative of s(p) wrt p.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oslssslossls. What is prob of picking 2 o and 2 s?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7298281 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 232.24 rounded to 0 dps?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -383 + 15?\nAnswer: -367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-3)*-4*1\/(-16)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 24\/(-9)*((-18)\/(-4))\/3. Sort 0, 5, x in descending order.\nAnswer: 5, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -50 - 50?\nAnswer: -a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 79 to the power of 1\/2, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 + 10*b + 10. Suppose -7*d + 504 = 7*d. Suppose -d = -76*f + 80*f. Give g(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1252*x + 4607*x + 1155*x + 4168*x.\nAnswer: 11182*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - w - 4 + (1 - 2 + 3)*(0 + 2*w + 0) + 1 + 9*w - 1 + 3*w - 74 + 9 + 21 + (1 - 2 + 0)*(0 - 2*w + 0) in the form q*w + l and give l.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 2 = v, -2*j + 2 + 1 = 1 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 126.91999.\nAnswer: -12.691999","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.27384 and 94.\nAnswer: 94.27384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*a - 5*t, t - 3*t = -3*a + 6. Suppose 2*l - 8 = 2*i + 2, 5*i + a*l + 11 = 0. Let z(g) = 27*g - g**2 + 4 - 22*g + 2*g**2. Determine z(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.4 - 571.97527.\nAnswer: -570.57527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 + 4. Let i be p(-4). Suppose -a = 5*k + 6, 3*k + 6 = 5*a - i. Find the second derivative of -t - t**4 + a*t - t wrt t.\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3386*r + 3386*r - 266056*r**2.\nAnswer: -266056*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-7)*42\/56 + 84\/490. Let r be (-2)\/3 - (-2)\/12. What is the smallest value in r, 1\/6, -30, v?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/((-1)\/3) + 1843628\/112. Let p = 16454 - g. Suppose 10 = -2*w + 76. Calculate the common denominator of w and p.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 767 divided by -3.\nAnswer: -767\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 60.3 in -1\/12, -126\/13, -0.5?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of -49\/15*c**6 + 20\/3*c**3 + 1\/2*c**4 - 4*c**2 + 0 + 3*c - 7*c**5. Factor h(a).\nAnswer: -2*(a + 1)**2*(7*a - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 777415 to the nearest integer?\nAnswer: 882","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -54843 divided by -181\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 3*f + 7 = 0, -5*f + 0*f = -5*d. Let x be 2\/2*(d - -98). Let c = x - 49. What is the greatest common divisor of 12 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 3 (c) 0.4 (d) -6.1 (e) -19\/12 (f) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1630 divide 12974800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -999\/7 or -45963?\nAnswer: -999\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 9*p - 20 = -4*p, -4*p = -3*c + 16 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 602 and 559.\nAnswer: 7826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z - 3*z + 5*z + z - 2*z - z + (1 - 6 + 3)*(-6*z + 2*z + 2*z) - 3*z + 2*z - 6*z + (-4 + 2 + 4)*(0*z + 0*z - z) + 14 + 5*z - 14.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of x**5\/12 - 5*x**4\/2 + 45*x**3\/2 + x**2 + 9*x. Find q, given that s(q) = 0.\nAnswer: 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 805*p + 13100 = -8990 + 2770 for p.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -431508.8 to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 3:31 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -342\/7 (b) -4 (c) 33 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 283091561?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(3)*2*2 + 5 + -4 + 0.\nAnswer: -8*sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149*l - 1392 = 152*l. Let n = l + 1850. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22\/3348417 + -473141367901\/83710425. Let r = 5651 + c. Which is smaller: 0 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 11:11 AM?\nAnswer: 12:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = x - 4*q - 3, -5*x = -2*q - 27. Is -0.1 smaller than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2852608 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (4*42\/24)\/(133\/285)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 25*f**2 + 27*f + 25. Let s be k(26). Let m(p) = 123*p**2 - 1. Let y be m(1). Let h = y - s. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*y**2 - 66 + 66)*(y + 0*y - 2*y + (-3 + 0 + 1)*(-1 - 2*y + 1) + 0*y + 3*y - y) in the form v*y**3 + t*y**2 + l*y + x and give v.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-2)\/6)\/((-6)\/882) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 192 and 544.\nAnswer: 3264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 599489.\nAnswer: 11, 54499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 5*o = 0, 2*i - 7*o = -4*o + 7 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 319 a factor of 322190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -10, -2\/19 in decreasing order.\nAnswer: 0.4, -2\/19, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - (8 - 10) - (2 + 42 + 1)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 - 583*a - 54864. What is q(-118)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 9*l**2 - 436*l + 41. What is the tens digit of i(53)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 178*p - 175*p + 2 = 0, 4*j = -4*p + 8 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -309 + 579. What are the prime factors of f?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 AM and 11:39 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.7651 seconds in nanoseconds?\nAnswer: 28765100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -28*i**4 + 2568*i**3 + 6000*i**2 + 1504*i = 0?\nAnswer: -2, -2\/7, 0, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = z + 21, -3159*l + z = -3161*l - 15 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/3726 and 85\/184.\nAnswer: 14904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 9. Suppose -3*d - 4*y + 21 = 0, j*d + 0*d - 4*y = 21. What is the highest common factor of d and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 12416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 + 0 + -1)\/(-7). Let p = 343\/4 - 85. Which is the nearest to -4? (a) p (b) -0.3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t**3 + 2*t**3 + t**3 + 2*t**3 - 4*t**3.\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2653 - -6446. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*o = 101*o - 19*o + 972 for o.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of -r**6\/180 + r**4\/24 + r**3\/18 - 41*r. Find n such that k(n) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-4 - (1 - 3))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 490739 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -7450, -29345, -65838, -116929?\n\"Answer: -7299*r**2 + 2*r - 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8135\/2306 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + -1. Let o = -7 + y. Calculate the greatest common factor of 36 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(1331) - -2*sqrt(1331))**2.\nAnswer: -71874","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m. Let c(q) be the third derivative of -q**4\/8 - 57*q**2. Let s(n) = -n + 2. Let b be s(-6). What is b*w(f) + 3*c(f)?\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*d**2 - 12 + 6*d - 15\/2*d**3 + 3\/2*d**5 - 3*d**4 = 0. Calculate d.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -157 + 230. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -225 divided by 45.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 61068 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8 or -1966218?\nAnswer: -1966218","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (35\/10)\/(2\/76)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7712725?\nAnswer: 5, 308509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -27, -7, -12, -5, -528, 5, 0?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 113*b + 2. Give m(2).\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4788)\/378)\/(-19)*6\/(-28). Let q be 4\/30 + (-2)\/6. What is the nearest to 0 in 151, m, 0.1, q?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -389\/936 + -3\/104. Let x = 80 + -70. What is the closest to x in -4, -1\/2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -151 + 151.166. What is h rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 + 4*d**2 - d. Let r be n(-4). Suppose 18 = -v - r*k, 4*v + 26 = -3*k - 33. What are the prime factors of (-4)\/(-16) + v\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2860278 + -2860277.6550937. Let a = 0.3451 - p. What is a rounded to 5 dps?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from saasaasaaaa. What is prob of sequence assa?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -33\/214? (a) -4 (b) 44 (c) 3 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**2 - 125536*t + 1969910912 = 0. What is t?\nAnswer: 31384","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1363883 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, t: 2, u: 1, q: 2, v: 1}. Give prob of sequence vqtq.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1\/3878 + 182257\/34902. Calculate the common denominator of k and (-31)\/6 - 2\/(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -8 (b) -728.1 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 45130.153 to the nearest one hundred.\nAnswer: 45100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2229550591 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/168*((-8)\/(-32))\/((-1)\/(-2))?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103 = -4*s + 65. Suppose k - 30 - 12 = 0. Let p = k - s. Solve -3*r - 3 = -5*q + 11, 4*q + 5*r - 26 = p for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -253 or -252?\nAnswer: -253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -9*i**2 + 7 + 7*i - 6*i**2 + 6*i**2 + i**3. Suppose 0 = 3*a - 12*a + 63. Let f be t(a). Is -42 greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 4*d + 1270 = 0, 2*s - 5*s - 2*d + 1917 = 0. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -52\/1054827 and 46\/93.\nAnswer: 32699637","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29\/4 - -13\/2. Which is the nearest to -1? (a) -0.6 (b) n (c) 1\/18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z**5\/9 - 2*z**4 - 164*z**3\/9 - 94*z**2\/3 + 163*z\/9 + 100\/3 = 0. Calculate z.\nAnswer: -4, -3, -1, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 26\/(-117) - 12415\/(-18). Let k = x - 709. Calculate the common denominator of 1\/12 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 - -1 - (-17)\/1. Let s = d + -11. Put 5, s, 0 in ascending order.\nAnswer: 0, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*j + 17*j = 430. What is the remainder when 517 is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, 8, 19, 36?\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 3*n - 216 + 231 = 0, h - 3 = -5*n for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of c**4 + 57*c**3 + 6*c - 57*c**3 + 2*c**2. What is the derivative of i(w) wrt w?\nAnswer: 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21690, -43382, -65074, -86766, -108458?\nAnswer: -130150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of p**4 - 14416*p**2 + 83010*p + 2?\nAnswer: 12*p**2 - 28832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7\/376 (b) -3\/10 (c) 2852\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -167 - -182. Solve -z = -o - 4*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 20829, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2 - 93085614*o - 2166232883439249.\nAnswer: -(o + 46542807)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9715359 is divided by 4857669.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 264, -2\/9, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1 (b) -5.8 (c) -20 (d) -4 (e) 0.5 (f) 16.5 (g) 52\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*z**2 + 3*z - 3*z)*(-3*z - 6*z + z)*(-5 + 1 + 2) to the form v*z + y*z**3 + k + m*z**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 135*h + 176. Calculate l(0).\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u**2. Let b(s) = 5*s**2 - s - 2. Let n be b(-1). Let t be (-1362)\/12*(0 - n). Let y(h) = -t*h + 1 + 443*h - 1. What is y(d(k))?\nAnswer: 22*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 PM and 2:22 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -16 * -147770\nAnswer: 2364320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*q = 169*q - 6800. Solve -37*f - 11 = 2*i - q*f, 4*i + f + 27 = 0 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -40 + (3\/2)\/((-15)\/20). Let q be 56 - 7*(-12)\/c. Which is bigger: q or 53?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.5 - 0.4. Let k = o - 0.6. Let u = -2.1 + -2.9. Which is the closest to 2? (a) u (b) 3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1428?\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -136551 or -136556?\nAnswer: -136556","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 300679868 to the power of 1\/5, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14*n**2*x**2 - 10*n**2*x + 826*n**2 + 2*x**3 wrt x?\nAnswer: -28*n**2*x - 10*n**2 + 6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 108 = 2*y, -2*y + 96 = -3*i + 23. What is the lowest common multiple of 14 and y?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 3*g + 18 = 0, 16 = 2*c + 2*g - 7*g. Solve -12 = 5*j - 2*j, -c*o - 5*j - 35 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(0 - ((-6 - -2) + 5)). Which is bigger: 24 or k?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/15 or 0.23?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k - 768 = 7232. What is the highest common factor of 50 and k?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -379, -741, -1103, -1465?\nAnswer: -1827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -548\/9*g**2 - 2\/9*g**4 + 0*g + 550\/9*g**3 + 0.\nAnswer: -2*g**2*(g - 274)*(g - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1 + 0 - -3)\/(54\/(-18)))\/(1145\/(-916)).\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 PM and 9:58 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 0 + 4)*(-1 + s + 1) + (-2*s + 0*s + s)*(0 - 2 - 1) - 2*s + 5*s + 0*s to the form z + p*s and give p.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 AM and 4:04 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -85 (base 13) to base 8\nAnswer: -155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 74\/773025 and 39\/13970.\nAnswer: 196348350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -19) + 40 + -29 + 4\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-6*((1 + sqrt(539) + 1 - sqrt(539) - (sqrt(539) + (sqrt(539) + 0)*2)) + -4 + -4))**2.\nAnswer: 326592*sqrt(11) + 6333552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58967 is divided by 78.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2520 and 420?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - -18. Suppose -x + s = -2*w, -3*w + 2 + 4 = 0. Let p = -2 - -6. Solve -5*o = -3*o - p*c, -3*o - x = -c for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 697.9 - 692. Let r = -5.8 + d. Let m = -1 - 2. What is the third smallest value in m, r, 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v + 3. Let p be 10\/(-8)*3*4. Let r = p - -29. Let a(o) = 5*o + 7. Calculate r*y(u) - 6*a(u).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - 13*u**2 + 19*u + 5. Let h(w) = 2*w**3 + 14*w**2 - 20*w - 5. Let t(g) = -3*a(g) - 2*h(g). Let o be t(9). Solve -r = r + o for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2. Let v = -162 - -162. Let l(n) = 7*n**2 + v + 17*n**2 + 1 - 28*n**2 + 15*n**2. Give l(x(u)).\nAnswer: 11*u**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -464099\nAnswer: -1\/464099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 268601 to the power of 1\/4, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12c (base 14) to base 12.\nAnswer: -178","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from smmmsasssmtwmsmmma. Give prob of sequence mmm.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 6*x - 3*x - 22, -x = 3*t - 3. Find the third derivative of -5*m**x + 53*m**5 - 53*m**5 + m**2 - 7*m**6 wrt m.\nAnswer: -1440*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003945528 rounded to 7 decimal places?\nAnswer: 0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3 + -0.4. Let l = -3 + 3.2. Let d = 28606 + -28601. Which is the nearest to h? (a) 0 (b) d (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -30*d + 77. Determine q(-6).\nAnswer: 257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 336189 to the nearest 10000.\nAnswer: 340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.46 - -0.129. Let p = -0.099 + s. Round p to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19536272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -319.37291 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 + -27. Let i(p) be the first derivative of -13*p**2\/2 + 6*p - 1. Calculate the remainder when i(h) is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -z - 2. Which is smaller: -2 or z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -5 (c) 0.2 (d) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnn when three letters picked without replacement from {n: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53357?\nAnswer: 229, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 45 = -2*z. Suppose 2*r = z - 1. Let x(s) = 4*s**2 + 3*s + 2. Let w be x(-1). Solve g - 8 = -4*i, w*i + r*g = -i + 8 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-60 + (136 - 34))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -73773 + 37973. What is f rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8073*f**2*i**6 - 2*f**2*i**3 + 1689*f**2 - 4*f*i**2 wrt i?\nAnswer: 968760*f**2*i**3 - 12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 90 = 5*f, -6 = -2*c + 123*f - 128*f. Sort -4, c, 2, 4, -1 in descending order.\nAnswer: 4, 2, -1, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + 2102012?\nAnswer: 2102011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 41603.64 and -91009.\nAnswer: -49405.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -11 - ((-2 - 25 - -4) + 6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 g when three letters picked without replacement from {s: 9, g: 4, d: 1}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -263 - -320. What is the lowest common multiple of 9 and g?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*d - 218 + 207. Let n = -12 - -7. Let m(w) = w**3 + 7*w**2 + 4*w - 5. Let b(j) = -j**2 - j + 1. Let r(a) = d*m(a) + n*b(a). What is r(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70145 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1.8, 2, 3, 17, -3\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 s when two letters picked without replacement from ooossososo.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 309 and 199923.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in -21, 7, -0.5, 0.454?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 3*m - 2*s - 3, 5*s = 4*m + 3. Let c = m - 1. Solve 4*v = -p - 19, -2*v + c = 3*p + 19 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -358517 divided by -67.\nAnswer: 5351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -113911904, -113911906, -113911908, -113911910, -113911912?\nAnswer: -113911914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/21, 1, 12, 0.1, 1\/3, -0.1, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + 49. Suppose 4*c - 2*c - 32 = 0. What is the remainder when i is divided by c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -3 - -2) + -2 - -5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i + 13. Suppose -3 = -3*j + 36. Let o be j + (1 - (4 - 0)). Let c be p(o). Solve -w - 8 = c*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6682 is divided by 108.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -657*z + 2 - 3 + 1.\nAnswer: -657*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 9 - (-1140)\/165 - (-222)\/(-99)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 3*f + 4. Let t be 3\/(-2*f\/8). What is the third derivative of 17*o - 3*o**t - 17*o + 5*o**2 wrt o?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -5*y + 2. What is the units digit of r(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 2:29 AM?\nAnswer: 6:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 383*x + 2408*x - 366980 = -2096*x - 1333*x for x.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2616765, -2616766, -2616767, -2616768?\n\"Answer: -p - 2616764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + 0*c - 3*c)*(4*c**2 + 2*c**2 - 7*c**2 + (-c + 15*c + 3*c)*(1 + 0*c - c + 0)).\nAnswer: 18*c**3 - 17*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 + 5*m - 4. Let z = -18 - -22. Calculate j(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, p: 2, g: 1, v: 4}. Give prob of sequence go.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 38, -3, -2, -5?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q**2 - 3. Let s(j) = 4*j**2 - 4. Let p(o) = -3*s(o) + 4*w(o). Let x(l) = 50*l. Calculate p(x(f)).\nAnswer: -10000*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 - g + 2. Let y be (6 - -15)*2\/(-3). Let n = -12 - y. What is p(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/16 and 155\/4554.\nAnswer: 36432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -69, -86, -111, -144, -185, -234, -291?\n\"Answer: -4*y**2 - 5*y - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (230\/(-3588))\/((-4)\/(-48))?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, d: 2}. What is prob of picking 1 d and 2 h?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6170.\nAnswer: 2, 5, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 14094, 14326, 14616, 14964, 15370, 15834?\n\"Answer: 29*t**2 + 145*t + 13920","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 76.9 - 77. Let o be (60\/(-1360))\/((-30)\/80). Put -4, n, -0.2, o in increasing order.\nAnswer: -4, -0.2, n, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m**3 - 11*m**4 + 45*m**4 + 1875*m**2 - 1876*m**2 to t*m**3 + f*m + z*m**4 + l*m**2 + p and give z.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -29930984 plus 20?\nAnswer: -29930964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/1036 and 79\/370.\nAnswer: 5180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -0.6, -6, -17, -5 in increasing order.\nAnswer: -17, -6, -5, -0.6, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 7:37 AM?\nAnswer: 3:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1647258184 and 104.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3525 and 30831624.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 716799 and 3.\nAnswer: 716799","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31254, 62514, 93796, 125106, 156450?\nAnswer: 187834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -931931*t**3 + 6*t**2 - 459109 wrt t.\nAnswer: -5591586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(684)*1 + 4 + -3))**2.\nAnswer: 300*sqrt(19) + 17125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 9.27074 millennia?\nAnswer: 927.074","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n**2 - 9*n + 5. Let t(r) be the first derivative of 14 + 13\/2*r**2 + r**3 - 7*r. Give -5*t(l) - 7*v(l).\nAnswer: -l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gj when two letters picked without replacement from mssjjmjmcmbcbcgbgj?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 PM and 7:04 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 10*p - 9*p. Suppose -5*l - 1210 = -60. Let j = 2072\/9 + l. Which is the nearest to p? (a) -4 (b) 5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 99*a**3 + 1713*a**2?\nAnswer: 594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (384\/3584)\/(24\/14)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of -870*n - 1 + 866*n + 6 + n**4 + 2*n**2. Let k be x(2). Calculate the greatest common factor of 54 and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1329.6966 months to millennia.\nAnswer: 0.11080805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -133*k + 265. What is h(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 7:32 AM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 44448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 4 = 0, -3*y + 5*i + 96 = -2*y. Is y a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence axy when three letters picked without replacement from {y: 1, m: 2, o: 7, n: 4, a: 2, x: 4}?\nAnswer: 1\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m**2 + 4*m**2 + m**2 + 3 + m + 2*m**2 - 3 - 2*m**2 + 3*m**2 + 0*m**2 + (4*m + 0*m - 2*m)*(0*m - 2*m + 4*m) + 0*m**2 + 5*m**2 - 4*m**2.\nAnswer: 16*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18*k**6 + 41448*k**3 - 4*k**2 - 3101*k - 2 wrt k.\nAnswer: -2160*k**3 + 248688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4 = -4*y + 3*y, 0 = -4*y - o - 4. Solve 4*d = 4*h - 9*h + 12, 5*d - 2*h - 15 = y for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 78 + -76.2. Let i = u - 2.2. Let d = 1\/10 + -4\/15. What is the third smallest value in 5, i, 4, d?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(432) + sqrt(432))**2*-5 + -3.\nAnswer: -8643","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 28 = 4*h - 2*r, 16 = -4*r. Suppose 3*p - 31 = -4*f + 79, 2*p - 4*f = 100. What is the remainder when p is divided by h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-15)*(-75)\/(-300)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 37359 - 12761. Is 14 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-390)\/36 - 2\/12. Let u = x + 48. Suppose -d = 5*c - 2*d - u, 4*c + 3*d = 41. Solve 2*i + 3*k - 2 = 14, 3*k - c = 2*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - r - 8715, -5*r - 848 - 919 = -l. Suppose -4*c + 5*q + l + 15 = 0, 5*c - 2*q - 2209 = 0. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((48\/14)\/((-50)\/14))\/(18\/45).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 5*y**2. Let f(u) be the third derivative of u**5\/20 + 2*u**3\/3 - 27*u**2 + 6*u. Calculate s(f(o)).\nAnswer: 45*o**4 + 120*o**2 + 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -638\/5 + 127. Let d = -422.7 - -423. Let w = 84 - 250\/3. What is the closest to d in z, w, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/28844806 - 6065327159267\/576896120. Let v = d - -10518. Let r = -41\/10 - v. Find the common denominator of -63\/256 and r.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1656\/(-10)*50\/(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1336, 1190, 948, 610, 176, -354, -980?\n\"Answer: -48*v**2 - 2*v + 1386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 126025\/150 + (-11)\/66. Is 840 equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.04978 and -3.965.\nAnswer: -3.91522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3e + 4de91?\nAnswer: 4de52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s**3 + 1998*s**2 + 13826*s - 8. What is u(-7)?\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d**3 - 27*d - 2. Suppose -243 = 17286*k - 17259*k. Let o(n) = 8*n**3 + 108*n + 9. Determine k*r(y) - 2*o(y).\nAnswer: 2*y**3 + 27*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3133 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 2444 (c) -1\/6 (d) 2\/165 (e) 1\/3 (f) 1\/8 (g) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 22\/(-1848)*-30*(6 - 22\/5). Factor 108\/7*j - 4 - 12\/7*j**4 - 152\/7*j**2 + 88\/7*j**3 - y*j**5.\nAnswer: -4*(j - 1)**4*(j + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-866)\/((-1 - -5)\/(-128)) + -1.\nAnswer: 3, 3079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -45 * 7.\nAnswer: -315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 271104 and 1503780?\nAnswer: 4236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 11*q**3 + 2*q**2 + q + 1. Let h(o) = 37*o + 1308. What is the remainder when w(2) is divided by h(-34)?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*2\/(-60)*-18*1035\/1. Calculate the highest common divisor of t and 297.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.9249 + -250.39.\nAnswer: -251.3149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 4 = 6. Let c = 7 - 4. Suppose 5*d = k, -c*d - 5*k - 11 = 17. Put -3, d, a in ascending order.\nAnswer: -3, d, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -0*i + i - 4247, 0 = -3*k - 4*i + 2538. What is the hundreds digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5053, -500, 4065, 8648, 13255, 17892?\nAnswer: 22565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 68\/119 + (-11)\/7. Let a be q*(2\/2 + -1). Suppose a*w + 4*x - 12 = 2*w, 5*w + 6 = 2*x. Solve w*z + z + 3 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2764 + -1788. Let s = -969 + j. Solve -w = 4*y - 10, 4*w - s = 4*y - 27 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f - f**3 + 5*f**2 - 4 + 0*f + 4 to the form k*f**3 + b*f**2 + w*f + x and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-104)*-2*((-792)\/(-54))\/22?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*c + c + 368. Calculate the remainder when 125 is divided by c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -5 - -5 - (-2 + 6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 78 - 64. Let u be 7*8\/84 + l\/6. What is the greatest common divisor of u and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -212 = -11*n + 102 - 105 for n.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.13 and 0.008091?\nAnswer: -0.00105183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -353, -1421, -3209, -5723, -8969, -12953, -17681, -23159?\n\"Answer: -a**3 - 354*a**2 + a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/3))**16*(u**(5\/6)\/u)\/u**(-7) assuming u is positive.\nAnswer: u**(35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1954 + -29311\/15. Suppose 2*g = 5*d + 22, -3*g + 4*d = -4 - 15. Are a and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w\/w**(-1)*w*(w\/w**(-3)*w)\/w*(w\/w**(-1\/2))**(2\/67) assuming w is positive.\nAnswer: w**(539\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(-1 + 0 - -3). Let b be 2*((-6)\/(-4) - m). Suppose 2*g - b*w + 3180009 = 0, g + 0*g - 4*w = -1590012. Round g to the nearest 100000.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 2*b = 2, 0*b + 9 = 3*j + 4*b. Let k = -0.3 + 0.5. Let w be 36\/(-6) - -4*6\/24. What is the second biggest value in -0.1, j, k, w?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4431 - 3771. Does 30 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 19*m - 2*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 261 is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*b + 58*b = -3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3*j**2 + 0*j**2 - 43 - 4*j + 41. Let c(x) = x**2 - x - 1. Let n(q) = 2*c(q) - y(q). Suppose -4*p - 14 = -5*f, 0 = -0*f - 2*f - p + 3. Give n(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) -14 (c) 352 (d) 0.25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-3)*-2*21\/56.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -16.9925 and -0.013.\nAnswer: 0.2209025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1 (b) 0.5 (c) 0.2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1399 in -2.3, 2, -2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 55146892 and 159904?\nAnswer: 441175136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8064669 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - (-8)\/(-10))\/(40\/100). Let x be 680\/28 - (-4)\/(-14). Solve 2*l = f*q + 17, l - 4*l + x = -4*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000114537 to 7 decimal places.\nAnswer: -0.0000115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -4*n. Let g(l) be the second derivative of l**4\/4 + 13*l. Give t(g(s)).\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32713503 - 18198568. Let a = -7314935 + v. What is a rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - n = -15. Suppose 0 = -n*t - 20 + 2. Is -34*3\/t*1 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 3*x**2 + 4*x + 4. Let m be u(-2). Suppose -3*w = -3*b + 60, m = -33*w + 36*w + 6. Solve -b = -5*q + 4*l, 0 = -9*q + 4*q + 5*l + 20 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 8:26 PM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2 + 12)\/(5\/20) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*w + 457 = -254 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 101169 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of -r**3\/6 + r**2\/2 - 23*r. Suppose -2 = 2*c - 0*c + 4*f, 11 = 5*c + 2*f. Let d be x(c). Is 0 at most as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -51 = 17030?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7893\/877*-3*1.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*j = 312 - 312 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 1 - 5)*(4 - 4 - 3*i) to the form s*i + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 11 = -3*y + 4*t, 5*y = 2*t + 11 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, x: 2, a: 4}. Give prob of sequence xt.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2))**(-2\/19))**8\/(j**(-1\/3)\/j*j**4*j*((j*((j*j**(-1)*j*j)\/j)\/j)\/j)**22) assuming j is positive.\nAnswer: j**(-113\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 6:43 AM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - 0) + (-4)\/2. Let h(j) = -j + 1. Let x = 22 + -21. Let k(p) = 7*p. Let r(o) = x*k(o) + 3*h(o). What is r(i)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6167508 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4327654?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/2 - 33\/(594\/(-72)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-640)\/(-288) - (-3)\/((-54)\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 10, -4, -122, -6, 36 in increasing order.\nAnswer: -122, -6, -4, 0, 10, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17784*z**4 - 82*z**3 + 9048445*z**2.\nAnswer: 426816*z - 492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a**2 + 2*a**2 - a**2 + (102*a - 10*a + 16*a)*(486*a - 229*a + 559*a) to the form r + u*a**2 + p*a and give u.\nAnswer: 88127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -132 and 2.645.\nAnswer: -129.355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 1:12 PM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 564855 divided by -112971.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6284513978?\nAnswer: 2, 3142256989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((5 - 7)*1)\/(11 + -7). What is the fourth smallest value in 2\/15, 5, 238, g?\nAnswer: 238","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 21. Suppose 0 = a - 5*a + 984. Let m = a - 118. Calculate the greatest common divisor of h and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209*d = 309*d + 732 - 32 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 - 5*y**2 + 4*y + 1. Determine l(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/816 and 11\/3278728.\nAnswer: 334430256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of -5*z**2 + 2. Let w(d) = -3*d. Suppose -5*f = 20, 2*i - 5*f = 3*i + 27. Give i*w(q) + 2*v(q).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27 - 3*h**2 + 44 + 2*h - 7*h.\nAnswer: -3*h**2 - 5*h + 71","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*g + g + 4*g)*(21*g**2 + 22*g**2 - 54*g**2 + 11*g**2 - 31104*g**3) in the form n*g**3 + y*g**4 + l*g + u + t*g**2 and give y.\nAnswer: -62208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5972956 by -3322.\nAnswer: -1798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 51 - 54. Let r be 22\/24 - 2\/8. Put 3, r, h in ascending order.\nAnswer: h, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/2)\/(((-180)\/45)\/(24\/2)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/4, 238.53, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1745 is divided by 159?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -22*a + 125. Calculate h(7).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -99*a**2. Let h(k) = -8*k + 8*k - k - 2*k + 2*k. What is h(f(m))?\nAnswer: 99*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 345 and 47779625?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 626\/1581 + -33\/527. What is the fourth smallest value in z, -2\/13, -0.1, 4, -0.03?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1509, -3015, -4519, -6021, -7521, -9019, -10515?\n\"Answer: t**2 - 1509*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 23730453 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-463)\/(-5) + (-2)\/(-5). Suppose -g = 5*n - 513. Suppose -4*j = v - 222, -5*j + 351 = -4*v + n. What is the highest common factor of j and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 59\/4 of a milligram?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9308, 9331, 9270, 9083, 8728, 8163?\nAnswer: 7346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-7))**(8\/7)*a**15*a*a**(-17)*a assuming a is positive.\nAnswer: a**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 40735 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4146?\nAnswer: 2, 3, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/11 (b) -5\/7 (c) 1.5 (d) 0.4 (e) -55 (f) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a - 1 - 15*a + 1.\nAnswer: -13*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 406.1113 kilometers to millimeters.\nAnswer: 406111300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q. Let c(i) = 61*i + 63*i + 69*i + 65*i**2 - 38*i**2 - 201*i. Give -c(a) - 6*d(a).\nAnswer: -27*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.2 (b) -0.03 (c) 3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 741870 - 230443. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b + 18. Let m be c(15). Let v = 3 + -3. Suppose -n = -h - 22, 3*h + 9 - m = v. Is n a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of 19*m**5\/5 - 3*m**4\/4 - m**3\/6 - 1623*m**2 + 2*m + 48. Differentiate f(v) with respect to v.\nAnswer: 228*v**2 - 18*v - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 72, 2, 11, -3.\nAnswer: -3, 2, 11, 14, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-28)\/(-6) + 5\/15. Let w(b) = -3*b**3 - b - 1. Let f be w(-1). Suppose -2*g = f*g. Solve d + g = u for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of -l**4\/12 - 13*l**3\/6 - 24*l**2. Give j(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94570419?\nAnswer: 3, 31523473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/2))**(1\/4)\/(y**(1\/4)\/y)**(-13\/3) assuming y is positive.\nAnswer: y**(-27\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -19*b**2 - 7*b + 7. Let f(q) = 17*q**2 + 6*q - 6. Let k(c) = 7*f(c) + 6*u(c). Let a(d) = 36*d**2 + 8419 - 8419. What is k(a(i))?\nAnswer: 6480*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 2*x = 148. Suppose -4*f + 5*z - 466 = 0, 20*z - 18*z - 4 = 0. Let k = x - f. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -839\/250298?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 + 6*k - 2. Let z be b(5). Let o = 3 + -7. Let f = -41 - -40.7. What is the third biggest value in o, z, f?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28842903\/532 + -54216. Let c = 8077\/2128 - d. Find the common denominator of (66\/8)\/((-7)\/(-2)) and c.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in 0.38, 4, 32?\nAnswer: 0.38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 20432?\nAnswer: 3\/20432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/20)\/(135\/225). Which is the closest to r? (a) 5 (b) 3\/2 (c) -124\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-45)\/(-5) - (1013500*1)\/(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((125\/15)\/5)\/(1\/(-3)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25*(-37)\/(-925)*(-52)\/(-8)*-2*1.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2505845797?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 + (110\/(-162))\/((-6)\/36). Which is smaller: 48 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2341483)\/(-1414))\/(-239) - (2 - 3\/2).\nAnswer: -52\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 + 5*o + 4. Let t be w(-5). Suppose r + 148 = t*j, -3*j + 2*r + 122 = 4*r. Suppose -j*q = -33*q - 390. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.028, -125, -1\/3.\nAnswer: -125, -1\/3, -0.028","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 5*z - 5*u, -3*z + 22 + 12 = -5*u. Solve -9*y + 11*y = z for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/46710813 or -1?\nAnswer: 2\/46710813","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -461 + 213. Let o = n + -260. Is ((-18)\/36)\/(2\/o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -103862339 or -103862340?\nAnswer: -103862339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8\/1831 or 1?\nAnswer: -8\/1831","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-2*sqrt(112))**2 + -4).\nAnswer: -1332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/118 - -63\/472. Let p = -26446 + 26441. What is the third smallest value in 0, p, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -2.4. Suppose -11 = -4*m + 1. Let t be 4 - 4*m\/6. What is the biggest value in t, -5\/2, g?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.01, 18, -3\/2, 5, 3?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g = 14*g + 6. Let l be 30\/g*(3 - 0). Suppose 10*o = l*o - 60. Solve 4*y = 2*y - 5*v - o, 5*v = -3*y - 13 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115873447 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 9*c**2 - 3*c + 3. What is the tens digit of a(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-6)*-11*52\/4862.\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 309261 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -6. Let w(p) = 108*p**3 + 5*p**2 + p + 4. Let t(g) = 326*g**3 + 14*g**2 + 3*g + 11. Let a(d) = -4*t(d) + 11*w(d). Does 29 divide a(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 * 2.53\nAnswer: 30.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 - 7*k + 9. Let v be g(6). Suppose 5*c = -0*c + 525. Let m = v + c. Calculate the greatest common factor of 18 and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*l + 7 - 7 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (117\/(-6))\/(6158 + -6164).\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 165*r + 714. Determine x(-3).\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -11*-2*3\/33. Solve -u*i + 2 = 0, -3*h + 2*i - 13 = i for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, m: 11, v: 2, s: 1, n: 4, f: 1}. What is prob of picking 1 f and 3 n?\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 537342 and 62001?\nAnswer: 1612026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29, -67, -111, -161?\nAnswer: -217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*1*35\/14.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 21849, 21847, 21845, 21843, 21841?\n\"Answer: -2*a + 21851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 q, and 2 f when four letters picked without replacement from qhhohhfoqhqfhfuqfv?\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 119.6 + -149. Let k = c + 30.5. Put -1\/3, 4, 5, k in ascending order.\nAnswer: -1\/3, k, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, b: 1, n: 2, k: 1}. Give prob of sequence ibi.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 5*q - 10 = -3*k, k - 2*q - 5 = 0. Suppose -4*t - 9 = -p, -k*p + 1 = -2*t - 16. What is the second derivative of 3*n**p + 7*n - 3*n - 12*n wrt n?\nAnswer: 60*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 - ((-15)\/3 - -3). Suppose v = -2*s - 2 + 6. Suppose 5*o - 230 = s*u, -4*u + 54 = 4*o - 130. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of (-24 - 2)*(-1)\/((-8)\/(-20))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -31 > -522582?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Sort -0.17, -3\/4, 0.5, 4.\nAnswer: -3\/4, -0.17, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 147015 and 1620.\nAnswer: 588060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9276 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 24832.98 litres in millilitres?\nAnswer: 24832980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 11 = 4*l - 7*l, -2*l - 2*l + 2021 = 35*d - 338*d - 1312 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2924.\nAnswer: 2, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -32?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 18*h**3 - 3*h**2 + 208*h + 5. Let r(u) = 8*u**3 - u**2 + 103*u + 2. Determine -2*p(b) + 5*r(b).\nAnswer: 4*b**3 + b**2 + 99*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - 7*r**2 + r - 10. What is s(7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3073 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2. Let q(t) = -93693952*t**2. What is c(q(x))?\nAnswer: -8778556641378304*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in eighty-seven quarters of a gram?\nAnswer: 21750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.1 = -261\/32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.125 - -7.125. Let k = 5.3311 - -1.6671. Let h = k - t. Round h to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -6, 6, -463, -21, 2, 1 in decreasing order.\nAnswer: 6, 4, 2, 1, -6, -21, -463","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1819162, 7276700, 16372610, 29106892?\n\"Answer: 1819186*n**2 - 20*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 + 3*i + 13. Determine s(9).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 5*i + i = 23, 0 = -u + 2*i + 1. Let s be 1*1\/(-1) - u. Solve -4*x + 6*x - 16 = s*q, x - 3 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/((-3065)\/770 - -4). Let y = -272 + q. Suppose -h + y + 197 = 0. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 PM and 3:54 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -797, -86179 in descending order.\nAnswer: -4, -797, -86179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-24))\/(9517\/4912).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 956*r - 323*r - 321*r - 318*r.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 82\/1677435 and 29\/135.\nAnswer: 15096915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 8*o = 10. Let i be (-2 - -1) + 8\/o. Calculate the remainder when 28 is divided by 0\/1 + (i - -20).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 1113 = -1119. Let a(y) = 15*y**2 - 2. Let b(j) = 1139*j**2 - 153. Calculate p*b(t) - 153*a(t).\nAnswer: -17*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*((-60)\/100)\/((-1)\/5). Let q be (-1*(a + 3))\/4. Let t(y) = -y**3 + y**2 - y + 1. Calculate t(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/6 - (-248)\/(-3). Let n(q) = -63*q + 208. Let y be n(4). Let l = y - x. Is 12 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 325 = -5*c - j, -256 = -4*c - 5*j. Let l = c - 31. Is l a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-264)\/(-220)*140\/(-6). Let i(m) = 5*m + 3. Let c be i(-7). Let y = a - c. Let t(k) = 2*k**2 - 6*k + 1. Calculate t(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14\/(-1) - (-12 - -10). Let m be (2 - -5) + b\/4. Calculate the highest common divisor of 10 and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 16) to base 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -20*f**5 - 3472*f**4 - 34188*f**3 + 60352*f**2 + 59792*f - 31296 = 0.\nAnswer: -163, -12, -1, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 972386363?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 3*m - 17, -n - 3 = 125*m - 126*m. Let a(h) be the second derivative of -1\/72*h**4 + 0 + 8*h + 0*h**3 + 1\/12*h**n. Factor a(f).\nAnswer: -(f - 1)*(f + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 2*n + n)*(-3 + 3 + 1) - n + n - 2*n - 11*n + 10 - 10.\nAnswer: -12*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -8*c**2 + 7*c + 6. Let f be u(-1). Let a(o) = 2*o**2 + 13*o - 45. Let h be a(f). Solve 0*y + 6*y - 4*y = h for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 121 - 80. What are the prime factors of v?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqqv when four letters picked without replacement from {v: 5, c: 5, q: 4, h: 1, j: 4}?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 590.1292 days to seconds.\nAnswer: 50987162.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.7 + 3. Let g = 1.52 - 5.52. What is the second biggest value in g, 3\/4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 272\/3 - 90. Which is the third smallest value? (a) o (b) 4 (c) 3 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 228.1 rounded to the nearest ten?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7.997 - -8. Let j = -3323 + 3317.203. Let l = j - a. Round l to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -45 + 47. Suppose -a*q = -10, -5 = -u - 3*q + 2*q. Suppose u = 2*v + v - 678. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -159 divided by 159.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79 - 2*a - 30 - 178.\nAnswer: -2*a - 287","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3460 and 664.\nAnswer: 574360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 15849 (c) 2\/11 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/((-72996)\/(-13104) - 6\/39)\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + p = 15. Let j(l) = -2*l + 8*l - l - 4*l - 3. Let i be j(p). Which is the nearest to 2\/5? (a) -0.2 (b) -0.3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1ca0 (base 16) to base 14\nAnswer: -2956","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.21 - 0.01. Let x = g + -0.200106. What is x rounded to five decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 7, n: 2, e: 2}. What is prob of picking 1 w and 1 n?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 102 (b) -2 (c) -1\/10 (d) 1 (e) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffwfwfwwwfwwfffwfw. Give prob of picking 2 f and 2 w.\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -6 + 1 - (6 + -7). Let r be (-3)\/y*4 - 5. Let n be 38\/14 - 2\/(-7). Sort n, r, 2 in descending order.\nAnswer: n, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (1441\/45 + (-24)\/108)*5 is divided by 57.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 1438\/62085 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.738 - 4.238. Which is the closest to 0? (a) r (b) 4 (c) 7 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4, -17, -40, -73?\n\"Answer: -5*a**2 + 2*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-658)\/(-28))\/(1\/8).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-6)\/(-4))\/(1\/2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118306*h - 5 + 386970*h + 5.\nAnswer: 268664*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-6) + (-4)\/3. Calculate the remainder when (-53)\/z - (0 - -1) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 4*x - 21, 206 = -4*q - 2*x + 188. Let t = -3775\/1032 - 3\/344. Is t at least as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 3*v**3 + 29*v**2 + 13*v - 43. Suppose 4*z - 12 = g, 0 = -14*g + 9*g - 5*z - 35. Calculate the remainder when l(g) is divided by (1 - -3)*(6 - 2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h. Let y(a) = 14*a**2 - 7*a. Let z be (-1)\/(4\/84*-3). Let g(c) = -5*c**2 + 2*c. Let r(x) = z*g(x) + 2*y(x). Give v(r(p)).\nAnswer: -14*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1*sqrt(6655) + sqrt(55))\/((sqrt(33)*-1)\/sqrt(3))*-6*-6.\nAnswer: 2160*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 m when two letters picked without replacement from {m: 1, k: 3, f: 9, p: 5}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*f**5\/5 + 219*f**4\/5 - 261*f**3\/5 - 1866*f**2\/5 - 168*f = 0. What is f?\nAnswer: -2, -1\/2, 0, 4, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -1748 + 3492 - 1744 + 564*q as c*q + h and give c.\nAnswer: 564","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3*l + 3*p = -238, -3*p - 6 = 0. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 10\/3 of a day?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1105438?\nAnswer: 2, 449, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/4 (b) 20 (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -6. Let t = -0.026574 - 30.973426. What is the biggest value in v, 2, t?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -75, -161, -247, -333, -419, -505?\nAnswer: -591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -9\/4 + 21\/4*u + 3\/4*u**3 - 15\/4*u**2 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**11*v*v)\/v*v)**6)**(-20) assuming v is positive.\nAnswer: v**(-1680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-one quarters of a hour in seconds?\nAnswer: 72900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32*d**3\/9 + 196052*d**2\/9 + 21780*d.\nAnswer: 4*d*(d + 1)*(8*d + 49005)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 30819, 123488, 277939, 494172?\n\"Answer: 30891*l**2 - 4*l - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b**2 + 3*b + 17. Let h(u) = u + 1. Let v(y) = -6*h(y) + 2*p(y). Find the first derivative of v(x) wrt x.\nAnswer: 8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 10) to base 13\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 4*u**2 - 8*u - 5. Let m be t(14). Differentiate -667*c**2 - 20*c**3 - 20 + m*c**2 wrt c.\nAnswer: -60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-19*a + 43*a + 58*a)*(7 - 3 - 2)*(2*a**2 + 84*a - 84*a + 13) in the form u*a**3 + n + q*a + d*a**2 and give u.\nAnswer: 328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4925, -9833, -14715, -19565, -24377?\n\"Answer: j**3 + 7*j**2 - 4936*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, 2.8843243, 4 in increasing order.\nAnswer: 3\/7, 2.8843243, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(300) + sqrt(300)*-1*-2)**2 + (-2 + sqrt(300))**2 + 0)*5.\nAnswer: -30040 + 400*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 105 = -10*x. Let m(v) = 6*v**2 + 4*v - 5. Let h be m(5). What is the highest common factor of x and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (b**2 - 4 + 4)*(143*b - 69*b + 70 - 73*b) to the form v*b + u*b**2 + h*b**3 + n and give u.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -703, -1224, -1689, -2104, -2475?\n\"Answer: -i**3 + 34*i**2 - 616*i - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 473 + -470. Calculate the highest common divisor of r and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 AM and 7:46 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-1\/39)\/u**(8\/3) assuming u is positive.\nAnswer: u**(-35\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -110772.3 to the nearest one thousand.\nAnswer: -111000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 0*b - 13*b = 0. Suppose b = 6*y - 19 + 7. Solve 4*x - 20 = 0, -2*d + 0*x = 2*x - y for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -8299, -16598, -24897, -33196, -41495?\n\"Answer: -8299*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16823 (base 12) to base 11.\nAnswer: 22289","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.06592 centuries in decades?\nAnswer: 140.6592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65270.61 micrometers to nanometers.\nAnswer: 65270610","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 130 + -128. Let z be 2\/6 - (-13)\/(-12). Which is the nearest to n? (a) z (b) -0.2 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 15*m + 8. Let l(b) = -12*b - 10. Let a(g) = 5*l(g) + 6*t(g). What is a(1)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2275389, -2274610, -2273831, -2273052, -2272273?\n\"Answer: 779*c - 2276168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2824*s**4 + s - 192.\nAnswer: 33888*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22408361207 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 115844.58 months in decades?\nAnswer: 965.3715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 252745491?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - 5\/(-2)*((-290)\/70 - -5)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-12)*w)\/(w**2*w))\/(w**3*w)**31 assuming w is positive.\nAnswer: w**(-137)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 14*(-3)\/((-18)\/(-3)). Let m(l) = -l**3 - 8*l**2 - 8*l - 3. Let n be m(q). Let f = 30.1 - 30. Which is the smallest value? (a) n (b) f (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1221 (base 3) to base 2\nAnswer: -110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of o**7\/420 + o**5\/40 - 5*o**4\/24 - 4*o**2. Let m(b) be the second derivative of q(b). Find the first derivative of m(t) wrt t.\nAnswer: 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 5*o = 4*j - 460, -2*o - 95 = -j. Calculate the remainder when j is divided by (94\/8)\/(3\/3) + 529\/2116.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 4*d - 15 = 7, -10 = -2*d for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -680*m + 13399. Give x(18).\nAnswer: 1159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -356929, -1426406, -3208867, -5704312?\nAnswer: -8912741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 (base 7) in base 11?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102341577?\nAnswer: 3, 13, 59, 79, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 1 = 31. Suppose n*r + 78 = 10*r. Calculate the remainder when 48 is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -3*f + 13 - 4, 2*q = f - 5. Let y(a) = -5*a + 2. Let v(h) = h - 1. Determine f*v(i) + y(i).\nAnswer: -4*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8263 is divided by 689?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 202864 and 784?\nAnswer: 9940336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13 + 407?\nAnswer: 407.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p + 40. Let v be n(0). Calculate the common denominator of ((-3)\/v)\/((-4)\/(-310)) and 71\/20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.013411, 32, -0.5?\nAnswer: -0.013411","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -4*o**2 - 1187*o + 20789. Calculate h(17).\nAnswer: -546","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*r - 4*y + 42 = -0*y, 689*y - 3 = -3*r + 685*y for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*t**2 - 26*t**3 - t**4 + 35*t**3 - t**4 + 3*t wrt t?\nAnswer: -48*t + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - (6 + 7)) + 4*3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 + -16. Suppose -5*v + 26 + 103 = b, -n*b - 2 = 0. Let o be v + (5 - (1 + 2)). Solve -4*s + 8 = 0, 4*s = -5*p - 0*s + o for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21018755 (base 9) to base 13\nAnswer: -212cba3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 50683510\/11 or 0.2?\nAnswer: 50683510\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*i**2 - 16770*i - 16770*i - 11*i**2 + 50310*i - 16770*i.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2)*t**(2\/15))\/((t*t**(-1\/3)*t)\/t**(-1)) assuming t is positive.\nAnswer: t**(-68\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = -h + 3, -7*h = 3*u - 5*h - 9 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(99) + -1*sqrt(99) - sqrt(99)))\/((sqrt(324) - (sqrt(324) + sqrt(324)*4)) + sqrt(9) + sqrt(9)).\nAnswer: 3*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -201*z**3 + 144*z**2 - 48*z + 195. Let w(v) = 40*v**3 - 30*v**2 + 10*v - 39. Calculate 5*f(p) + 24*w(p).\nAnswer: -45*p**3 + 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 3 = 29. Let o be (1\/4)\/(s\/(-32)). Is -1\/2 at least o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52 (base 9) to base 3\nAnswer: 1202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-3 - -1)*-161. Suppose c = 4*y - 131. Is y a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -12110\nAnswer: -3\/12110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/11 (b) -73 (c) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42413 (base 5) to base 12.\nAnswer: -17a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 85.21194 hours?\nAnswer: 306762984000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/r**(-5\/2)*r**(-27\/2)*(r\/(((((r\/(r*r**(-8\/9)))\/r)\/r)\/r)\/r))\/(r\/(r\/((r**36\/r)\/r*r)*r)) assuming r is positive.\nAnswer: r**(-359\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of u**5\/20 - u**4\/3 - 2*u**3\/3 + 3*u**2 - u. Let i be 1 - ((-1 - -1) + -3 + 0). Determine a(i).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-70)\/25)\/(-7)*(1 + -586). Let l = u + 318. What is the smallest common multiple of l and 7?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -326 + 273 + 4*o - 5*o.\nAnswer: -o - 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*(l\/((l**(-4\/7)*l)\/l*l*l))\/l*l*l*l\/l**(2\/9)*l)\/(l**(-6\/11)*l**(3\/7)))**(-1\/7) assuming l is positive.\nAnswer: l**(-2402\/4851)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gfgfgaffguq. Give prob of sequence ugqg.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**11)**(1\/38))**(-3\/8) assuming t is positive.\nAnswer: t**(15\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 97*j**2 + 2*j - 2. Let h be k(1). Let l = h + -67. Calculate the greatest common divisor of 5 and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 11*t - 2*t - 4*t)*(1 - 3 - 1) + 119 - 119 + 21*t)*(-4*t**2 + 3*t**2 + 3*t**2).\nAnswer: 12*t**3 - 12*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 3*g**2 + g)*(2 + 0 - 3)*(-209 - 118 + 167)*(2 + 2*g - 2)*(-3 + 0 + 1).\nAnswer: -1920*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -135*f + 1551*f + 2395*f as j*f + h and give j.\nAnswer: 3811","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 63 and 42.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, 36, 86, 154, 246, 368?\nAnswer: 526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (0 + 15\/6)*2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 333126.\nAnswer: 333126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 63478 + -952982\/15. Let q = -54 - f. Is q less than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/1*-3*(-16)\/(-84)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 11, u: 1, n: 1}. Give prob of sequence cn.\nAnswer: 11\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -8, -3\/8, -5, -2\/3?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -69.8 + 125. Let i = d - -12.8. Let c = i - 68.0089. What is c rounded to three dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-5)\/(-2))\/1*2. Suppose 0 = 3*k - 5*k. Suppose -v = -2*y + 7 + 1, v + 2 = k. Solve -y*q - 2 = -n for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47041861 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 10 - (-1235 + 1295)?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*p + p. Let q be (1 - -9)\/(p\/(-4743)). Let l = -316089\/20 + q. Find the common denominator of 101\/20 and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + 3*i**2 + 2*i - 1. Let o be f(3). Let m be (0 - 2) + (3\/(-3) - -57). Let y = 50 - m. Put o, y, -3 in descending order.\nAnswer: o, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 18329*v**2 + 149*v - 148. What is the tens digit of b(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2317897\/24374868 - -2\/85827. Which is smaller: 0 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1868*b**4 - 936*b**4 - 936*b**4)*(-3 + 0 + 4)*(-1 - 84 - 89 + 1) to the form z*b**2 + r*b**4 + o*b + h*b**3 + f and give r.\nAnswer: 692","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -145 + 2400240?\nAnswer: 2400051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103662 is divided by 304.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-4)*-4*8\/48*513\/19?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -14*z - 6. Let d = 7 + -13. Let b(t) = 5*t + 2. Let w(l) = d*o(l) - 17*b(l). Let s(f) = f**3 - 6*f**2 + f - 2. Let x be s(6). Calculate w(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-345)\/(-28)*(-23345)\/(-100050).\nAnswer: 23\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -5*m**2. Let j(o) = 844837*o**2. What is j(q(g))?\nAnswer: 21120925*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 25 - 50. Let t = -22 - z. Suppose -5*k - 7*p + 4759 = -t*p, 3840 = 4*k - 5*p. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1287.999987982 + -1288. What is n rounded to 6 decimal places?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 508772772, 508772771, 508772770, 508772769, 508772768?\nAnswer: 508772767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w + 0*w + 82 = -41*m, 4*m = 5*w - 265 + 105 + 112 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + 2 + -2 + 2. Let d(x) = w - 6*x - 2. Let q(y) = y. What is d(q(h))?\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1406*q**2 - 1430*q - 24.\nAnswer: -2*(q + 1)*(703*q + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - -19 - -2)\/1. Let t be c\/3 + 1\/3. Let m(o) = o**3 - 9*o**2 + 10*o - 10. Give m(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.99 * 4349\nAnswer: 17352.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 u when three letters picked without replacement from xuuxuuuuxx.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-57)\/342*(1 - 19). Let i be (4 + -1189)*o*-2000. What is i rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -54*i**2*l**2*t - 2*i**2*l*t - 34*i*l + 2*t wrt l.\nAnswer: -108*i**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/2 and -27673 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 19131137 and -23.5.\nAnswer: 19131113.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*y, 2*g = 7*g + 3*y - 114. Suppose -2*m + 65 - g = 0. List the prime factors of m.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1431, 1422, 1409, 1392, 1371, 1346?\nAnswer: 1317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*(h\/(h\/(h\/((h**(-10\/7)*h*h)\/h))))\/h*h)\/h)**(-13)\/(h**(-3\/23)\/(h**25\/h)))**(-2\/11) assuming h is positive.\nAnswer: h**(-1790\/1771)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/14*2\/(-4)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 4:03 AM?\nAnswer: 8:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/8*((-5)\/(-16))\/5*-2*12?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5622 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 u + 0*o - 50 = -2*o, 2*u - 3*o - 107 = 0. Does 15 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (37 - (-49914)\/(-5400)*4)\/((-12)\/10 + 1)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 123 + -121. Which is the second smallest value? (a) g (b) 6\/5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 61*x**3 - 138*x**2 + 226*x**3 - 86*x**3 + 2 - 78*x**3 to the form u*x**2 + l + d*x + c*x**3 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of -51*y**2\/2 + y - 31. Let k(h) = 51*h - 1. Let t(c) = -3*f(c) - 2*k(c). Differentiate t(s) wrt s.\nAnswer: 51","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10796617*u**2 + 2*u + 358262 wrt u.\nAnswer: -21593234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 - 1. Let u(l) be the second derivative of -l**4\/3 - l**3\/6 + 3*l**2\/2 - 2*l. Let o(d) = u(d) + 3*y(d). Factor o(v).\nAnswer: -v*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 = 4*w + 3*r - 20, 16 = -16*r for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -11871, -47279, -106217, -188685, -294683, -424211?\n\"Answer: -11765*s**2 - 113*s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 41 + 31. Let q = h + -72.29. Let r = -0.290000352 - q. What is r rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(8\/36)*(-4)\/6. Let x(u) = 6*u + 42. Let w(o) = -4*o - 28. Let q(i) = 7*w(i) + 5*x(i). Let c be q(m). Solve 0*b - b = 3*p + 6, -5*b = -p - c for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 88*h - 84*h + 2*u - 8, -5*h = u - 16 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -32\/9*b**4 + 14\/9*b**5 - 4\/9*b**2 + 22\/9*b**3 + 0*b + 0 = 0?\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.8 * 810.5.\nAnswer: -648.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jrwqqijjijqr. What is prob of picking 1 w, 2 q, and 1 i?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1 + (0 + 4 - 2)*(-1 - 3 + 5))*(19*b - 63*b - 10*b).\nAnswer: -54*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 7:47 AM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/(-154))\/((-1)\/60) + -4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 3*q**2 + 12*q**2 - 4*q**2 - 17*q. Let v(j) = 4*j**2 - 6*j. Suppose -r = 2*z + r + 6, -r + 27 = -4*z. Calculate z*w(x) + 17*v(x).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -3. Suppose 6*j = p*j. Determine b, given that 4*b + b**2 + b - 3*b + 1 + j*b = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -16*i + 2057. Let j(t) = -18*t**2 - 5. Determine o(j(y)).\nAnswer: 288*y**2 + 2137","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 614 - 610. Suppose -10*q = v - 74. Let g = -23 - -44. What is the least common multiple of g and q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r**3 + 6*r**2 + 41*r - 25. Calculate o(-5).\nAnswer: -330","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 80, 108, 126, 128, 108, 60, -22, -144?\n\"Answer: -v**3 + v**2 + 32*v + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-1))\/((-77)\/22)*(-14)\/4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 348 and 2131210?\nAnswer: 12787260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -4. Let y be (-5)\/((-25)\/(-2))*-2. Factor 0 - 2\/5*b + y*b**p - 2\/5*b**3.\nAnswer: -2*b*(b - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 9291783.\nAnswer: -2\/9291783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 - 2*h**2 - 6*h + 2. Let p be s(4). Suppose -4*i + 142 = p. Let x = 36 - i. Solve 0 = x*a - 2*a + 5 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/37)*t)**(-1\/12)*(t**(-4\/13))**(25\/2) assuming t is positive.\nAnswer: t**(-22655\/5772)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 116\/1276 + (15\/(-11) - -1).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kqd when three letters picked without replacement from bobbbbkbkqbqwd.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + (-12)\/16)*(-36)\/9. Solve -z = 4*q + h, -2*q - 3 - 1 = -2*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6262 + -112621\/18. What is the common denominator of 11508\/2808 - 8\/52 and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + n = 6 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6278*p**2 + 4444946 - 4444946.\nAnswer: -6278*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of -3*z**6\/40 - z**5\/60 - 85*z**3\/6 - 45*z**2. Differentiate r(f) with respect to f.\nAnswer: -27*f**2 - 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a decade in months?\nAnswer: 1620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 2236.9.\nAnswer: -2232.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 16*h**3 + 15246*h**2 - 32466*h + 3820 = 0.\nAnswer: -955, 1\/8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 175, 920, 2939, 6868, 13343, 23000, 36475?\n\"Answer: 106*g**3 + g**2 + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*c + 40 = 67 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178*b = -1680 - 1262 - 618 for b.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7 + -3*(0 - -1). What is the closest to -0.1 in -1, x, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*x, 4*j - 8*j - x = -1374. Suppose -4*o + 268 = -j. Suppose 30*r + o = 39*r. Does 2 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154490033 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1014213 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33 + 199*q + 33*q - 368*q - 376*q.\nAnswer: -512*q + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 659 = 1136. Suppose 5*s - 2956 = p. Let a = -250 + s. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*j + i = 66*j - 1, -7*j - 99 = i for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/((-12)\/((-36)\/(-21))). Sort 137, 5, a in increasing order.\nAnswer: a, 5, 137","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2. Suppose 4*n = f + 5 - 0, -2*n - f = -7. Let y(w) = 4*w**2 - 2 + 2 + 2 - 1. What is n*k(x) - y(x)?\nAnswer: -2*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 6340 and 44376\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m - 4*m - 3*m + 9 + 2*m. Let r(c) = -c + 1. Let z = 13796 - 13790. Give z*r(y) - t(y).\nAnswer: -3*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2813464?\nAnswer: 2, 29, 67, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2 + 2*sqrt(171)*5) - (4 + (1 + sqrt(171) + sqrt(171))**2*-6 + -3).\nAnswer: 162*sqrt(19) + 4115","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 2 + 2*v - 3*v + (1 + 0 + 1)*(-v + 4*v - v) + 0 + 0 + v.\nAnswer: 4*v + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24734, -24706, -24630, -24500, -24310, -24054, -23726, -23320?\nAnswer: -22830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -236 + 235 + -2 + 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**2 + 2*u**2 - 2*u**2 + (-u + u + 2*u)*(-3*u + 3*u + u) + 4*u + 953*u**2 - u - 974*u**2 + (-u + 0 + 0)*(4*u - u - 2*u) + 0*u**2 + 0*u**2 - u**2.\nAnswer: -20*u**2 + 3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - -1. Let o = x - 2. Suppose 14*w - 25 = 31. Solve -w*f = -o*n + f - 14, -n - 3*f = -15 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -5*a + 76. Calculate q(16).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -45 + 45.53. Let p = q - 0.34. What is p rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -8*v - 13. Let u(q) = -14*q - 25. Let i(h) = -5*f(h) + 3*u(h). Let p(j) = -2*j - 12. Let b(z) = -6*i(z) + 5*p(z). Let x(g) = -73*g. What is b(x(n))?\nAnswer: -146*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 284760803 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-1) + (0 - (-4 - 1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3412542389?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/7 (b) -3.7 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h + q - 2, 4*h + 15*q - 14*q + 4 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 282700 and 56540?\nAnswer: 282700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 0 + (2*-1*((-1 + sqrt(242) - sqrt(242) - sqrt(242)) + sqrt(242))*5)**2 + -4.\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*p + 16 + 175 = -142 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 - 24*i**2 - 22*i + 24. Let m be g(-23). Suppose 0 = -j - 3 + 7. Suppose -2*t = -j*f - 8, 5*t + m = -2*f - 3. Solve 4*z + z + 5 = t for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9838 to the power of 1\/2, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 281 + -234. What is the remainder when 227 is divided by k?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 14*m**2 - 3*m + 9. Let d be f(7). Let a = d + -1315\/2. What is the common denominator of 29\/6 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - -4430020?\nAnswer: 4430024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11927309?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5*(sqrt(19) + sqrt(228)\/(sqrt(48)\/sqrt(4)) + sqrt(19)) - sqrt(190)\/(sqrt(10) + ((sqrt(160)\/sqrt(4))\/sqrt(4) - sqrt(10))))**2.\nAnswer: -4864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, 10, -5, -0.2?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3961*j**3 + 7912*j**3 - 3952*j**3.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*w + 0*w - 3*w - 3*w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3078484*r**5 - 7*r + 184512.\nAnswer: -61569680*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 4*b + 63 = -5*b, 3*b = 0. Find the common denominator of 15\/2 and j\/60*2 - 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 o when three letters picked without replacement from {j: 2, v: 1, t: 8, l: 1, o: 2, w: 3}?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 927 and 178499.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 2*s + 3*s. Suppose s*z + 12 = 6*z. Let g = 4 + -3. Sort g, 5, z in decreasing order.\nAnswer: 5, z, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 235*k + 194*k - 3861 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -855979\/12 - -252884\/3. Let i = o + -12973. Let k = 1\/1772 - -33445\/2658. Find the common denominator of k and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 542 = 2*h - 598, -338 = -13*h for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1204 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 5710.\nAnswer: 5715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7.8 + 17.22. What is l rounded to 0 decimal places?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - 8 - 7\/(-9).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3\/8)\/l**(-2))**17\/((l**1*l*l**(-3\/5))\/(l**(1\/3))**(2\/53)) assuming l is positive.\nAnswer: l**(166871\/6360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-16)\/88 - (-26)\/22. What is the remainder when 4\/y*330\/40 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1652829 to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -801524 (base 9) to base 11\nAnswer: -2a3869","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 2. Let d(r) = 4 + k*r**2 - 4. Let z(s) = 8*s**2 + 10. Let i(v) = v**2 + 1. Let x(m) = 10*i(m) - z(m). Give d(x(a)).\nAnswer: 12*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -4*v. Let h(w) be the first derivative of w**4\/12 + w**2\/2 + 8. Let o(z) be the second derivative of h(z). Give j(o(q)).\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 3 = -g. Let l(t) = -g*t**2 - 9*t + 9*t. Let b(d) = -d**2. What is l(b(q))?\nAnswer: -2*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -140, 4, -7 in increasing order.\nAnswer: -140, -7, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.28 + -0.41. Which is the closest to -0.1? (a) j (b) 4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/3*o**4 - 4\/3*o**3 + 2\/3*o - 2\/3 + 4\/3*o**2 + 2\/3*o**5 = 0. Calculate o.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.99604 + -0.3.\nAnswer: -1.29604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 321 and 107?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 1:31 PM?\nAnswer: 1:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 41122984 divided by -6244\nAnswer: -6586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*u - u - 3*u)*(-10*u + u - 9*u)*(-3 + 0 + 1).\nAnswer: 324*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1830143953 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*q + 0 - 9\/2*q**5 - 3*q**2 - 12*q**4 - 21\/2*q**3.\nAnswer: -3*q**2*(q + 1)**2*(3*q + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u + 13*u + 6 = 0. Solve -5*m - p + 21 = 0, -u*p = m - 5*p - 5 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 1173, -3 in descending order.\nAnswer: 1173, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 64160 + -15707. Calculate the highest common divisor of b and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 18504308 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -7. Let p be -2 + 4 - (0 - (s - 1)). Let i = p + 46. What is the remainder when i is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/9617436 and -119\/207720?\nAnswer: 96174360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 AM and 1:04 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**2 + 1272*v + 48224.\nAnswer: 4*(v + 44)*(v + 274)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 + 8. Let u(m) = -7*m**2 + 5*m - 5. Let c(p) = -4*p**2 + 3*p - 3. Let k(j) = l*c(j) + 6*u(j). Let w(o) = o**2. Determine k(w(r)).\nAnswer: -2*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = -4*q + 9*q - 60, 4*q = 2*f + 36 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 + 22*l**2 + 29*l - 9. Suppose 2*w = 4*g + 20, -2*w - 5*g = -2*g - 6. Let c be (-6)\/4*-10*(-8)\/w. What is the tens digit of z(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122717 (base 10) to base 6.\nAnswer: -2344045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 497789.\nAnswer: 23, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -561 - -563. Solve 4*w - 5*f - 12 = 0, 2*w = -w + f - d for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19620 = -2*w - 0*w - 6094. What is the thousands digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.128 (b) 2\/3 (c) 1 (d) -186 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56944 = 1131*b + 1868 for b.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 - 4*w**2 - 3794*w - 26701. What is c(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is 9.408836 centuries in millennia?\nAnswer: 0.9408836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -667 + 2763?\nAnswer: 20b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2495*x + 284424. What is c(-114)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**3 - 4*m**2 - 5*m. Let x be d(-4). What is the highest common factor of x and 112?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69090 is divided by 34445.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, -5, -6 in ascending order.\nAnswer: -6, -5, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 6. Suppose -z*y - 20 = -6*y. Let l = 4 - 3.9. Which is the biggest value? (a) y (b) l (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1050 and 43950.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12395781 is divided by 53430.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -9 + 3*v + 10 - 5. Let n(z) = 7*z**2 - 1. Let r be n(-1). What is the remainder when 96 is divided by b(r)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 268752 is divided by 268524?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-10))\/(363348\/(-8460) + 43). Which is smaller: 4 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3255861443 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 - 2)*(1 - 1 - 2)*(-3*c + 4*c + 0*c).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11300678 to the power of 1\/3, to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand j - j + j**3 + (-j + 4*j - 6*j)*(-j**2 + j**2 + j**2) + (25*j**3 - j**2 - 10*j**3 + 0*j**2)*(17 + 43 + 2)*(1 - 2 + 3).\nAnswer: 1858*j**3 - 124*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 AM and 4:09 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -32*k**2 + 3*k. Let x(h) be the first derivative of h**3 - 4877. Calculate i(x(t)).\nAnswer: -288*t**4 + 9*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*z + 22*z = -570. List the prime factors of z.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of 0*s**2 - 1 - 39*s + 5\/3*s**3. Calculate w(-2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/7, 0.084, -2\/3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/234677471 or 0?\nAnswer: 4\/234677471","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 + n + 4. Suppose -3*h + 4*v - 4 = 0, 3*h + 3*v + 12 = -6. Calculate the remainder when 59 is divided by d(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9 + 12774?\nAnswer: 12765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 776\/11*o - 98\/11*o**3 + 1316\/11*o**2 + 112\/11 = 0?\nAnswer: -2\/7, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 5*w - 55, -4*w - 21 = -h - 0*h. What is the greatest common factor of 1 and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/(-20)*244\/(-183). What is the third biggest value in 16, 5, v, -1\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3.6 smaller than -10402260?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*w = -69*w - 472. Suppose -4*f + w = -5*h + h, -5*h = 5*f - 335. Is f a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7565*i**2 - 7565*i**2 + 9*i**3.\nAnswer: 9*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2884 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 20209 divided by -577\nAnswer: -20209\/577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 76 + 52 = 0. Suppose -w*d + 6*d = -180. Does 5 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13021 (base 4) in base 5?\nAnswer: 3312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 6, v: 1, k: 7, p: 2, h: 2}. Give prob of picking 1 p and 1 i.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 38, 36, 38, 50, 78, 128?\n\"Answer: f**3 - 4*f**2 + 3*f + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -21*g + 22 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 - 52*y**2 - 738*y - 2107. Give a(-19).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of r**3\/6 + 2*r**2 + 2*r. Let k be w(6). Solve -2*f = 3*f - k for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3044 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 + 11*q - 20. Let y be u(3). Solve 5*n + 7*r - 2*r - 5 = 0, 0 = 3*n - 2*r + y for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4329 smaller than -4329?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -80, -96, -112?\n\"Answer: -16*n - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -55, 0 in ascending order.\nAnswer: -55, -10, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.09? (a) 11 (b) 10 (c) 22\/3 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -190535.6199983 - -190536. Let m = l + -0.38. What is m rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 385 and 7875.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g + 370 = 8*g. Let n = -226127\/1197 + 620\/171. Let x = g - n. Is 1 > x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12896 a multiple of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/21 - -5 - (-1)\/(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11932022.\nAnswer: 2, 5966011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 66 - 72. Sort 3\/7, 0, l in increasing order.\nAnswer: l, 0, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 239009599 + -239009658.7294573. Let c = b - -93.9294376. Let u = c + -34.2. What is u rounded to 6 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 - 734.94057.\nAnswer: -734.64057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 36*a. Suppose 300 = 5*j + 100. Let i = j - -145. Let s(t) = t + i - 185. Calculate s(f(h)).\nAnswer: 36*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f - 843 - 25 = 0. Let r = f - -148. What is the lowest common multiple of r and 21?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 4 = 5*t + 11, -y = -3*t - 29. Let x be 1 + -2*1 + 3. Suppose -3*l - x = 19. Is t at least as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 PM and 12:42 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 93731584*b + 16576*b**2 - 93731584*b to the form p*b**2 + s*b + g and give p.\nAnswer: 16576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -4*l**5 + 20*l**4 + 16*l**3 - 80*l**2 = 0?\nAnswer: -2, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**0)\/(j**5\/j)*(j**4\/j)\/((j*j\/(j**(-6)*j))\/j))**(30\/13) assuming j is positive.\nAnswer: j**(-180\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -3. Let q(i) = i - 15. Calculate q(v).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/(10\/(-48)) - -2. Suppose -3*p + 51 = 3*c, -c = -3*p + i + 25. Is p a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/4*7\/(-35). Let n(v) = 3 - v**2 - 2 - 2*v + 0*v**2 - 3. Let k be n(-3). Which is the closest to 2\/3? (a) z (b) 2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 73991327 to the nearest integer?\nAnswer: 8602","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 + l - 1. Let p be d(1). Calculate the remainder when (-1)\/(-1 + p)*6 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -626727, -626409, -626093, -625779, -625467, -625157, -624849?\n\"Answer: -n**2 + 321*n - 627047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of -s**5\/20 + s**4\/6 + 3*s**3\/2 - 3*s**2\/2 - 45*s. Let f be r(-6). Suppose -749 = -2*w - f. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5622 and 25509?\nAnswer: 47803866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 90 = 4*n. Let f(v) = v**3 + 15*v**2 + 5. Let l be f(n). Let k(u) = 4*u + 1. Let q be k(1). Calculate the greatest common factor of q and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -16393, -127915, -430621, -1020103, -1991953?\n\"Answer: -15932*n**3 + 2*n - 463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 2*y - 24, -4*c - 4*y + 0 = -40. Suppose -2\/15*o**c + 16\/5*o - 96\/5 = 0. Calculate o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*u**2 + 0)*(3 + 1 - 5) + 8*u**2 - 109*u**2 + 30*u**2 + ((-3*u - u + u)*(1 - 1 + 2) + 2*u - u + u)*(2*u + u - 2*u).\nAnswer: -77*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 1033 = 617. Let n = a + 3301\/6. Factor 1\/3*f - 1\/6 - n*f**2.\nAnswer: -(f - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20.968 - -0.032. Let u = 21 - j. Which is smaller: 1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 275 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 5*n + 3)*(-2 + 2 - n) + n**2 + 0*n + 0*n + 743 + 69*n**2 - 743 as g + m*n**2 + l*n and give m.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + 635. Suppose 24*i - 7*i = z. What is the remainder when 111 is divided by i?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53788644?\nAnswer: 2, 3, 7, 13, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/(-2))\/((-3)\/(-4)). Let v be 16\/18*y\/(-4). Which is the third biggest value? (a) 0.2 (b) v (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*j - g, -j = 3*g - 107 + 108. Factor 200\/13 + 132\/13*f**j + 18\/13*f**3 + 290\/13*f.\nAnswer: 2*(f + 4)*(3*f + 5)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -6129*r. Let q(w) = -924*w**2. Give g(q(h)).\nAnswer: 5663196*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 175 and 329.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 561, 5248, 17965, 42726, 83545, 144436, 229413, 342490?\n\"Answer: 669*b**3 + b**2 + b - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*y - 87*y + 44*y.\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29*j**4 - 554560*j**3 - 113*j**2 - 1150*j + 39 wrt j.\nAnswer: 696*j - 3327360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 27 = 2. Suppose 0 = -2*o - 2*x + 22, -h*o + x + 49 = -0*o. What is the lowest common multiple of o and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00017278 rounded to five dps?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/112158 and -109\/1436346.\nAnswer: 44526726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 20220110 (base 3) in base 10?\nAnswer: 5034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -7*c - 3*c + 3*c + 4*c + 4 - c. Calculate h(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 261944644 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 174 and 16790478?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -516 - -518. Which is bigger: c or 15\/13?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**3 + 156*f**2 - 1887*f - 2046.\nAnswer: -3*(f - 31)*(f - 22)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 857076 and 857076.\nAnswer: 857076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -380, 0.3, 19, -3, 1, 2, 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34035 and 255?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161 is divided by 36?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3701.89 rounded to the nearest 100?\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1034*a**2 + 240*a**2 + 248*a**2 + 272*a**2 + 273*a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of -5*m**6\/18 + 3*m**5\/4 - 2*m**4\/3 + 2*m**3\/9 - 74*m - 1. Factor w(d).\nAnswer: -d*(d - 1)*(5*d - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 8, c: 5}. Give prob of picking 2 c and 1 n.\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 166834365\/14 + -11911321. Let v = q + -5413. Find the common denominator of 42\/(-4)*1\/2 and v.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 AM and 10:02 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684)*-3)**2*6.\nAnswer: 36936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 7:38 AM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.77 + -20.554034?\nAnswer: -25.324034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 150533 (base 6) to base 13\nAnswer: 6771","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19c (base 13) to base 11.\nAnswer: -251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + h = 8, -2*h = 5432*j - 5428*j - 12 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + 0 + 2*1. Suppose 3*n - 9 = f*r - 2, 52 = 3*n + 5*r. Let c = 21 - n. Does 10 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 7 = -3*o + 22, 4*o - 2*f = 6. Suppose v + v - 8 = o. Suppose -v*p - 5*x + 32 = -12, -4*p + 3*x + 44 = 0. Is 5 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -115086348 by 3.\nAnswer: -38362116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.04 and 31182.\nAnswer: 1247.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1301 or 1321?\nAnswer: 1321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10346 - -10311. Which is the closest to v? (a) 3 (b) 3\/8 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-eight thirds of a hour?\nAnswer: 33600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 + -10. Suppose -w = -3*m - 24, -w = -3*w + m + 43. Suppose 3*t = a*t - 3*x - w, -3*x = 5*t. Solve -q - t*q = -12 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 145 - 143. Suppose 0 = -3*r + m + 19, 23 = q*r - 2*m + 5. Solve -r = -d - 8 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 - 7*z**2 - 7*z + 1. Let m be y(8). Let k be (15\/m)\/((-4)\/324). What is the units digit of (-4)\/6*k\/18?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d - 2 - 2*d - 2*d. Let z = 13 - 13. Suppose z = -6*r + r - 15. Give l(r).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -60193\/23 + -246289\/207. Let d = -3801 - y. Let z = -45081\/14 - -3212. Calculate the common denominator of z and d.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16759511.\nAnswer: 16759511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 398, 336, 274, 212, 150?\n\"Answer: -62*v + 460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d - 8*d**2 + 1 + 3*d.\nAnswer: -8*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 - d + 2387. What are the prime factors of g(0)?\nAnswer: 7, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 70 - 18. Is 22 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -5446*s**4 - 12*s**3 - s**2 - 4*s + 2327. Let x(k) = k**4 + 6*k**3 + 2*k - 1. Let a(f) = g(f) + 2*x(f). What is the first derivative of a(v) wrt v?\nAnswer: -21776*v**3 - 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1233106*p = -1233075*p - 1488 for p.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + -17 + (-272941)\/(-23). Calculate the highest common divisor of k and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 62 - 36. Let r = 71 - 69. What is the third derivative of 2*g**2 - g**5 - f*g**r - g**5 wrt g?\nAnswer: -120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 2199212 = 4*y, 14*y = 17*y + 2*s - 1649394. Round y to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/55 in 511, 0.07, -0.89?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/9*(-27)\/(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -524*a**3 + 12*a**2 + 4*a + 119. Is n(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 409259 to the power of 1\/3, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 546180821.34 + -0.4\nAnswer: 546180820.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 3:25 AM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -x**7\/420 - x**4\/3 - 10*x**3\/3 - 7. Let h(q) be the third derivative of s(q). Differentiate h(m) with respect to m.\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0*4*4\/32. Suppose 5*s - 173 - 377 = r. Calculate the greatest common divisor of s and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 802 (base 10) in base 3?\nAnswer: 1002201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 19\/4 of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.3 from -74.87325.\nAnswer: -73.57325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 12) to base 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000022353204 to seven decimal places.\nAnswer: -0.0000224","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -10*w - 58. What is r(-4)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.8 + -0.95. Let a = c + 0.15007. What is a rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6970 < -34853\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 3*d = -0*d, 0 = 2*i - 3*d. Let a = -1 - 2. Let v be 7 + 2 + a + i. Solve 5*b = -5*x + 9 + 11, 2*b = v for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = z + 3. Let t(c) be the third derivative of c**6\/30 - c**5\/60 + c**4\/24 - c**3\/6 - c**2. Let w be t(1). Put -5, w, z in decreasing order.\nAnswer: w, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05929278928 rounded to five dps?\nAnswer: 0.05929","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(16\/4)*4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 777 divided by -7?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 11) to base 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6\/29 (b) 1\/5 (c) -3 (d) -5 (e) 5 (f) -9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -126.7 - -133. Let t = -13.7 - -15. Let u = y - t. Which is the biggest value? (a) -0.5 (b) u (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*p + 41 = -12*p + 5*d, 0 = -5*p - 3*d + 31 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-15)*2440\/1098 + (-62)\/3\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -2*a + 3 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 125, 127, 129, 131?\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, n: 3, b: 1, h: 7}. What is prob of sequence byhh?\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -f63 (base 16) to base 8.\nAnswer: -7543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, k: 2, p: 2, g: 2, j: 1, v: 1}. What is prob of sequence jkg?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i = 18 - 42. Solve -4*d + 2*d = 4*v + 20, -i*d + 10 = -2*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (1 - -386)\/(-5 + 6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33583 + -33583. Let m = 15 + -10. Which is the fourth biggest value? (a) o (b) m (c) 1 (d) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(72) + 2*sqrt(72)*-1 + sqrt(72)))\/((-1*sqrt(324))\/sqrt(9)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9351337 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29862 is divided by 23?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 25640, 51390, 77246, 103208, 129276?\n\"Answer: 53*x**2 + 25591*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1154725?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(1\/5)\/t)\/t)\/t)**(-1\/17)\/((t\/(t**(4\/9)\/t))\/(t*t\/t**(1\/3))) assuming t is positive.\nAnswer: t**(211\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29055?\nAnswer: 3, 5, 13, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 + -6. Let f = -30 - -30.5. What is the nearest to 2\/3 in -0.4, b, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-1\/8)*d*d**(1\/2)*d)\/(d**0)**(-2)*(d**0)**(-11\/5)\/(d**6\/(d*(d*d*d**(-2))\/d)) assuming d is positive.\nAnswer: d**(-21\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51771, 51744, 51679, 51558, 51363, 51076?\nAnswer: 50679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + v**2 - 1. Let f(p) = 3*p**3 + 5*p**2 - p - 5. Suppose -3*c = -3, 3*b - 5*c - 6 = -17. Let y be (-24)\/(-16) + b\/4. Give y*f(g) - 5*w(g).\nAnswer: -2*g**3 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-13 - 3*k + 13)*(-5 + 3 + 0) - 2 - 2*k + 2)*(11*k + 1306*k**2 - 1306*k**2 + 3*k**4).\nAnswer: 12*k**5 + 44*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2088 + 2091. Solve j*a + 26*m - 22*m = 20, 0 = 2*a + 3*m - 14 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192 is divided by 59?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 82\/129381 and 169\/42420?\nAnswer: 2587620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1702, 1702, 1704, 1708?\nAnswer: 1714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 5780010 = -2*o - 3*v, 3*v - 15 = 0. Round o to the nearest 100000.\nAnswer: 2900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 10 = -m. Suppose -5*o = -5*k - 815, 5*k - 341 = -3*o + 124. Suppose 0 = 4*c - o - 0. Calculate the greatest common factor of c and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*b**4 + 8628*b**3 - 3*b**2 - 51003462*b?\nAnswer: -132*b**2 + 51768*b - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 0.5, 0.4 in descending order.\nAnswer: 7, 0.5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + 24\/(-18)*(-1554)\/(-2). Let s be ((-8)\/(-16))\/(3\/w). Is (21\/(-14) - 0)\/(2\/s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**4 - u**4 - 13*u**5 + 14*u**5 + (2*u**2 - u**5 - 2*u**2)*(-3 + 7 - 2).\nAnswer: -u**5 - 2*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 379134 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*x = -664*x - 30*x + 22232 for x.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1618942621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -9. Let w = i + -6.1. Let j = 0.092 - -0.108. Which is the nearest to w? (a) j (b) -3\/2 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o - 2560 = 2680. Let x(r) = -7*r**2 - 524 + o. Let h(l) = -3*l**2 + l - l. Calculate h(x(j)).\nAnswer: -147*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13498.09 + -408.39. Let d = x + -13636. What is d rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 2 + -1*(-3*(1*sqrt(171) + 4) + -4))**2.\nAnswer: 288*sqrt(19) + 1795","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 120403755?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.99 times 12874?\nAnswer: 51367.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)*5*-5 + sqrt(624)\/(sqrt(84)\/sqrt(7)))\/((1*sqrt(360)*-4)\/sqrt(10)).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 z when three letters picked without replacement from {k: 2, z: 2}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 4*r. Let c(y) = -208*y**2 + 2*y. Calculate c(h(l)).\nAnswer: -3328*l**2 + 8*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -24082b + 3?\nAnswer: -240828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12203 - 3102?\nAnswer: 3101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0*139807\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 + 2. Let t be -216*(2 + 33\/z). Suppose 5*c - 113 - t = 0. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/13 - 382*j**2 + 79968*j\/13.\nAnswer: -2*j*(j - 16)*(j + 2499)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(102))\/sqrt(6)*6 + 0 + (4*(1*sqrt(425) + sqrt(425) + sqrt(425)) - 4*2*sqrt(425)).\nAnswer: 26*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 - 4*t + 1. Let c(o) = 17*o**2 - 24*o + 36. Give c(u) - 14*k(u).\nAnswer: 3*u**2 + 32*u + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r + 8 = 22 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4*(-1)\/(0 - 2). Suppose -v - 4*d - 14 = -0*v, 3*v + d = 2. Suppose 2*w + u - v = 0, q*w + 2 = 5*u + 4. Calculate the lowest common multiple of 8 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 103510?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 26*k**2. Let b(x) be the second derivative of x**4\/4 - 63*x**2\/2 - 223*x - 6. Calculate m(b(y)).\nAnswer: 234*y**4 - 9828*y**2 + 103194","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 1. Let v = 2.141 - 2.111. What is the closest to v in 0.2, i, -2\/9, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 AM and 8:06 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14869, 29753, 44637, 59521, 74405?\nAnswer: 89289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 3*m - 2 + 55, -t + 48 = -2*m. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6619189, -6619188, -6619187, -6619186?\nAnswer: -6619185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2466833.\nAnswer: 139, 17747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6528 - 6530. Which is the nearest to -3\/35? (a) v (b) 4 (c) 5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-18)\/1)\/((-868)\/2170). Solve -24 = 3*d - c for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2841 is divided by 449?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of -l**6\/144 + l**5\/40 - l**4\/4 - 4*l**2. Let w(a) be the second derivative of y(a). Determine w(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one quarter of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 160433 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*a - 27*a + 262154 = 0. What are the prime factors of a?\nAnswer: 41, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5361 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/104*1820\/(-3780)\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3119, 3222, 3349, 3512, 3723, 3994?\n\"Answer: 2*r**3 + 89*r + 3028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**2 - 14*i - 3. Let t be p(-7). Is -81\/31 at most as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1304 + -1309. Let t(v) = 32*v**3 - 56*v**2 + 56*v. Let m(c) = 3*c**3 - 5*c**2 + 5*c. What is q*t(s) + 56*m(s)?\nAnswer: 8*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.5319531m?\nAnswer: 53.19531","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 9, d: 2, e: 8}. What is prob of picking 1 e and 2 f?\nAnswer: 96\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 2 = -4*w + 4*a, 3*w - 11 = -a. Suppose -2*v - 3*v - 45 = -5*c, 5*v - 19 = -w*c. Solve n + 3*n = -c for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b - 0*b - 4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 4*u = 804, 0 = 5*y + 5*u + 1380 - 365. Which is the third biggest value? (a) 0.1 (b) 2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1117606250?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10277 - -123187\/12. Calculate the common denominator of k and 11\/3644.\nAnswer: 10932","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t**4 - 31*t**4 - 6*t**4 + (-2*t**3 + 2*t**3 + t**3)*(2 - 2 - 2*t) - 2*t**4 + 0 + 0.\nAnswer: -38*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110 is divided by 71?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24083 is divided by 1257?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**0)**(-1\/4)*b**(-2\/3)\/(b\/(b\/((b\/(b**(-1\/10)\/b*b))\/b))))**(14\/3))**(-50) assuming b is positive.\nAnswer: b**(1610\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107720 is divided by 41.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -4*t**5 - 8*t**4 + 4*t**3 + 8*t**2 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 5*x - 7 = 0, -24*x + 27*x = 5*s - 27. Solve u = -2*f - 9, -3*u - 11 - s = f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*p**5 + 10*p**5 - 14*p + 3*p**5 - 3*p**5 wrt p?\nAnswer: 260*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 5*j + 15, h + 4*j + 17 = -0*h. What is the units digit of (-12)\/h + (1 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*c**2 + 7*c**2 + 5 - 14*c**2.\nAnswer: -13*c**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 y, and 1 t when three letters picked without replacement from tteyryrtretttrtrrr.\nAnswer: 49\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + 4*v**2 + v - 4. Let h be d(-2). Solve -h*m - 2*m = 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 11*d**2 - 11*d + 15. Let c be z(-10). Suppose -28*q + 6 = -c*q. Solve s - 3 - 14 = 3*j, -q*j = 3*s - 7 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5a - -4?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 9) to base 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of -3*q**2\/2 - 3*q + 20. Let b(l) = 3*l + 2. Let u(f) = -4*b(f) - 3*z(f). Determine u(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.19, -3, 20, -1?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2690.07 - 2690. What is the nearest to -3 in 0.5, z, 0.4, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of n**6\/60 + n**5\/105 + 30*n**2. Solve o(z) = 0.\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 24\/17 (b) -8 (c) 2\/9 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89020870.\nAnswer: 2, 5, 2111, 4217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -457*i = -461*i - 10*n + 194, 158 = 4*i - 2*n for i.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.044 + -8.044. Let j = 8.3 + n. What is the second smallest value in -1\/2, -0.3, j?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 PM and 12:51 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7\/4 + (-6)\/(-24). Let o be 14\/3 - 2\/3. Suppose 0*j - o*t + 44 = v*j, -5*j - t = -74. Is 8 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 120960 and 2464?\nAnswer: 1330560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 933387 + -2072118959\/2220. Calculate the common denominator of g and 68\/9.\nAnswer: 6660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a + a - 3*a - 141 - 272.\nAnswer: -7*a - 413","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 15\/4 of a microgram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7655, 6089, 3477, -181, -4885, -10635?\nAnswer: -17431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, 47, 134, 267, 452, 695, 1002?\nAnswer: 1379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1085799 (base 13) to base 9\nAnswer: 10473376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.948905005 and -32.\nAnswer: -31.051094995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x + 60 = -22*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -39, -51, -61, -63, -51?\n\"Answer: n**3 - 5*n**2 - 4*n - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in eleven quarters of a millennium?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*p + 12*p + 4*p + 9*p as q*p + s and give q.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 9390 divided by 3479\nAnswer: 9390\/3479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 175 = 5*t, 140 = 4*t + 4*w - w. Is t a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 30.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-5 - (-6 + -3))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*k**3 - 2230873*k - 39702009 wrt k?\nAnswer: 21*k**2 - 2230873","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 AM and 12:35 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 - 3*a + 6. Let u be t(5). Let d = -4 + u. Calculate the remainder when d is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1238)\/280 - 21\/49 and 99\/46.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*((q**1\/q)\/q)\/q)**47)**(-3\/37)*((q\/(q\/q**(1\/6)))**(9\/10))**(-12\/17) assuming q is positive.\nAnswer: q**(11652\/3145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -71\/670?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 23 = -37. Suppose 50 = -3*r + 47. Let h(n) = 7*n + 13. Calculate the smallest common multiple of h(r) and g.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b + 12. Let j be r(5). Let m = -7 + j. Let x(u) = -u + 2. Determine x(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 59*j**3 + 55*j**3 + 62*j**3 - 177*j**3 - 6294*j to the form s*j**2 + g + y*j**3 + l*j and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*s + 21*s - 84 = 0. Suppose -4*p = -20, 3*z = -4*p + s + 8. Find the third derivative of 7*u**2 - 11*u**6 - 4*u**2 + z*u**2 wrt u.\nAnswer: -1320*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3410247?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 3 = 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 + 43. Calculate the greatest common divisor of x and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2774\/7 or -395?\nAnswer: -2774\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1135 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {x: 6, p: 1, d: 7}?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 162, 335, 516, 705, 902, 1107, 1320?\nAnswer: 1541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 408?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -59214\/275 + 2358\/11. Let j = 719\/40 - 183\/8. What is the common denominator of a and j?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dsdssddq. What is prob of picking 1 q and 3 d?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m + 420 = 15*m. Does 10 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64.36695 years to decades.\nAnswer: 6.436695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 6:51 AM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115 + 117 - 351 + 119 + 2*m - 238*m**2.\nAnswer: -238*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/((-4)\/54))\/((-4)\/(-8)). Suppose -v = 2*k + 34, 42 = -k - k - 5*v. Let p = z + k. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147*y = -125*y + 1610400. What is y rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -527*l**2 - 43739*l + 123. What is j(-83)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 81060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -96, -209, -356, -531, -728?\nAnswer: -941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5718730 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (sqrt(475) + sqrt(475) + 1 - sqrt(475)) - (sqrt(475) + -1 + 4))*-1)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1161002 (base 8) to base 6.\nAnswer: -10505254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 - 6*p - 11. Suppose t - 32 = -3*t. Let m be k(t). Let u(s) = -3*s**2 + 8*s - 4. Let x(r) = r**2 - r - 1. Let b(h) = u(h) + 2*x(h). What is b(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 184887 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, -30, -173, -396, -699, -1082?\nAnswer: -1545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 264731 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 486, 4535, 15770, 37791, 74198?\n\"Answer: 600*h**3 - 7*h**2 - 130*h + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*0.0282.\nAnswer: -0.141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/29160 and -121\/760.\nAnswer: 554040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (9 - 5)) + -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 37*h - 1146*h - 2.\nAnswer: -1109*h + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 27 + 2118\/(-78) + 63\/(-13). Sort 1, -3, -8, q, -2\/61 in decreasing order.\nAnswer: 1, -2\/61, -3, q, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7.3 + -6.9. Let w be ((-4)\/6)\/(7\/3). Sort -1\/5, p, w in increasing order.\nAnswer: w, -1\/5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-5)\/(-2) - 2)\/(8\/176). Let q = 664 - 655. Solve -d*o = -q*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -148*c**2 - 4*c**4 + 37*c**3 - 42 + 240*c - 102 + 3*c**3.\nAnswer: -4*(c - 3)**2*(c - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 2 + 189*p.\nAnswer: 189*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1122*y - 2405 + 19515 = -1574*y - 1874 for y.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = -2*u - 44. Suppose -5*j + 34 = 5*g - u, 11 = 4*j - g. Suppose 0*n - 24 = -j*m - 2*n, 24 = 2*m - 2*n. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3701?\nAnswer: 3701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 207703*h**2 + 513*h - 33 wrt h.\nAnswer: 415406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8041198*m**5 + 9*m**4 - 1512*m**2 + 10831*m - 1?\nAnswer: -482471880*m**2 + 216*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 161791 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: Let n(t) be the second derivative of -t**4\/2 - 20*t**3\/3 - 45*t. Find the second derivative of n(d) wrt d.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 - c + 1. Suppose 0 = 24*s - 90 + 18. Let h(y) = 2*y**2 - 6*y + 3. Calculate s*k(j) - h(j).\nAnswer: -5*j**2 + 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, l: 6, a: 1, d: 2, g: 3, s: 4}. Give prob of picking 2 s.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 6*(4 + sqrt(320)).\nAnswer: 27 + 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.058 + -0.158. Let c = -0.122 - 4.878. What is the nearest to 1 in c, t, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i**4 + 3944*i**3 + 960288*i**2 - 5872640*i + 7872512 = 0 for i.\nAnswer: -496, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -18*l + 4. Let q(h) be the first derivative of 19*h**2\/2 - 5*h - 1234. Determine 6*q(i) + 7*t(i).\nAnswer: -12*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*j - 12*j - 33. Let g be (j - -6) + -3*(-3 - -4). Let m(q) = -q**3 - 7*q**2 - 14. Is 25 a factor of m(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10.5? (a) -1\/2 (b) -25\/3 (c) 289\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1697432.\nAnswer: 2, 11, 19289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-21)*d)**(-5\/2)\/(d*d**33*d*((d\/(d**(-2\/15)\/d))\/d)\/d*d) assuming d is positive.\nAnswer: d**(208\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 135199.1ml?\nAnswer: 135.1991","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 7*t**2 - t - 1. Let c(p) = 1080*p**2 - 2*p - 1 + p - 1067*p**2. Let w(z) = 3*c(z) - 5*y(z). Let r(l) = 21*l**2 + 11*l + 11. What is 2*r(f) - 11*w(f)?\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23233\/40 - 2876\/5. Find the common denominator of -109\/88 and y.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9040 - -1664. List the prime factors of z.\nAnswer: 2, 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((sqrt(108) + 4 + 2 - sqrt(108)) + -1)**2)*-3.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1960*g**3 + g - 1892*g**3 - g.\nAnswer: 68*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (100\/(-6))\/((-8)\/(-1152)*-6) is divided by 34?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3635796 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -119 + 84, -2*k - 4*p = -757586. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-20)*-15*2\/27. Let w = -0.32 - -0.12. Which is the nearest to -2\/9? (a) -8\/5 (b) x (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -4, 2*n - 24 = 5*h + 5*n. Let d(f) = -2*f - 4. Let k(c) = 3*c + 4. Let m(l) = 4*d(l) + 3*k(l). Calculate m(h).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 21 = -5*n, 5*n + w = 547633 - 547651 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 230 and 20?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/18 and 77\/177.\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 43 - 578. Let b(q) = 7*q - 82. Let z be b(-3). Let g = z - n. Sort g, 2, -2, -5 in decreasing order.\nAnswer: g, 2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttxalxlxxtxxlxttxt. What is prob of sequence tll?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1975574143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d + 3*g + 39 = 0, 2*d = -2008*g + 2006*g + 4 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -234 - -459. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = -r - 230. Let z = -8 + 1. Let h = z + 19. What is the remainder when r is divided by h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**2 - 8*m**2 + 0*m**2 + 2 - 2 - 2*m**2 + (-37 - 6 - 10)*(m**2 - 5*m**2 + 2*m**2).\nAnswer: 94*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 754 and 232?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 + 6*j + 10. Let k be n(7). Suppose -13 = -5*d + 2*q, 0 = -3*d + q + 11 - k. Suppose 0 = 2*p - d*p + 34. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 53*m**2 - 44*m + 5. Calculate the least common multiple of 25 and s(3).\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -1. Suppose -9 = -3*j, 5*o + j = 45 + 43. Let k(u) = 3*u - 5 - 5*u + o. Let x = 32 - 20. Determine x*n(i) + k(i).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*c**3 + 23155*c**2 - 46370*c - 185320 = 0. What is c?\nAnswer: -4633, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7\/180 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l - 2. Suppose -4*i - 3*i + 28 = 0. What is the lowest common multiple of z(3) and (-5 + 17 - i) + 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/265477 and -37\/53?\nAnswer: 265477","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 c, and 1 t when three letters picked without replacement from {l: 1, t: 1, n: 2, v: 1, i: 1, c: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 182 divided by -2?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*n + 63 - 11 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of -31*w**8\/168 + w**5\/20 + w**3\/6 + 18*w**2. Find the third derivative of r(o) wrt o.\nAnswer: -3720*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2866485?\nAnswer: 3, 5, 191099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - m = 29, -3*z - 11 = 3*m - 44. Suppose -1 = k - 3. Suppose q = -4*q. Solve q*i = -k*i - z for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 45 = 5*q, -4*q + 6695*m - 6696*m = 15 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -84, -203, -354, -537?\nAnswer: -752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -4 + 7 + 2*g - 1. Let o be s(5). What is the tens digit of (1 - -1)\/(o\/78)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 210 + 6.3?\nAnswer: 216.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 150*w - 3 + 5 - 159*w.\nAnswer: -9*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -10100221021001 (base 3) in base 9?\nAnswer: -3327231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -183.251 rounded to 1 dp?\nAnswer: -183.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00299598848 to 6 decimal places.\nAnswer: 0.002996","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - u = 6. Suppose 0*c + u*c = 0. Suppose o - 3*k + c*k - 4 = 0, -2*k = 0. Solve 3 + 9 = o*t, -5*h - 4*t - 13 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 189, 365, 541, 717?\n\"Answer: 176*r + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (112\/(-320))\/((-70)\/16)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + sqrt(38)\/sqrt(18))**2 - (sqrt(19) - ((sqrt(19) + (sqrt(19) - sqrt(171)))*5)**2).\nAnswer: -sqrt(19) + 4579\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -22960858 or -22960865?\nAnswer: -22960858","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -468*z**2 - 4 + 1 - 2 + 5.\nAnswer: -468*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2100200 - 1?\nAnswer: -2100201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1573960 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.9 and -1.168?\nAnswer: -1.0512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 6*n + 60 = 0. Suppose o + 2*b = 4*o - 14, -o - 3*b - 10 = 0. Suppose d = -o*d + n. Solve -7 = -2*m - d for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2012 - -22203123?\nAnswer: 22211201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-4\/7)*s**(-2\/7))**16)**(1\/4))**(2\/17) assuming s is positive.\nAnswer: s**(-48\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 176085000 - -0.021.\nAnswer: 176085000.021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25050 by -1.\nAnswer: -25050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(720) + -2 - (sqrt(45) + -1 + -4).\nAnswer: 3 + 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/97 or -0.0470761?\nAnswer: -0.0470761","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -114259 (b) -0.93 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 41\/13 + (2 - 5). Which is the smallest value? (a) -1\/2 (b) 0.5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 8 = 3*d. Suppose -5*l + 9 + 1 = 0. Suppose -4*a + c = -27, 25 = l*c + 3*c. What is the lowest common multiple of a and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -957492 divided by -4?\nAnswer: 239373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2.71 and -12.58958.\nAnswer: -9.87958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) -0.1 (c) 3 (d) -1 (e) -7 (f) -63\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that v**2\/6 - 4*v + 23\/6 = 0.\nAnswer: 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -134 + 135. Suppose -2*x - 5*m + 31 = 0, s = -m + 6. Solve -t + 7*c - 12 = x*c, 3*c = 3*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2556378 (base 9) to base 10\nAnswer: 1395620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 14 + 8)*((4 + 1 - 3 + (2 - 3 + 0)*(-5 + 1 + 3))*(9 - 9 - 2*l) + (-4 + 4 + 2)*(l - 5*l + 3*l)).\nAnswer: 88*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, -57946 in descending order.\nAnswer: -1, -4, -57946","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 - 7*p - 15. Let u be q(9). Suppose 1085 = u*d + 455. Suppose -19*s = -14*s - d. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3*(35\/15 - 3). Let d = 13 + x. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w. Let d(f) = 76558*f**2. Determine d(x(s)).\nAnswer: 306232*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 3*r**2 + 10. Let f(p) = 98*p. Give f(a(j)).\nAnswer: 294*j**2 + 980","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/60786 and -103\/7884.\nAnswer: 26624268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -632*a + 4454 = -4049*a + 137717 for a.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 85 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 5*c - 25. Let s be z(6). Suppose -s*q - 5 = -30. Suppose -25 = -5*r, -2*f = -q*r - 82 + 3. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = -2*c + 16 - 6, 3*c + 13 = -p for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + r + 11 = 3*a, -5*r + 13 = 2*a. Let c = 11 - 11. Suppose c = -a*k + 38 - 10. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6144)\/(-9)*(-225)\/(-100). What is the highest common divisor of c and 156?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 604078855 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 136185918 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 2*v**2 - 42930*v + 214600 = 0.\nAnswer: 5, 21460","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 618?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1120 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 remainder when 350026 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do -1652584 and -1652627 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117*o**3 - 2 - 701*o**3 - 134*o**3.\nAnswer: -952*o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 159 + -44. Suppose 3*q = -2*q + s. Suppose -2*r + 13 = -q. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 9:15 PM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2109843.67494 and -141.1.\nAnswer: -2109984.77494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1050 and 3650.\nAnswer: 76650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3864?\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3364 + 3357. Let u(t) = -4*t**2 - 26*t - 11. Calculate u(q).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 109.6336095 rounded to 1 dp?\nAnswer: 109.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1685330?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 12) to base 5.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7095 + -5016. Calculate the smallest common multiple of 132 and h.\nAnswer: 8316","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -5 (b) -6\/77 (c) -324 (d) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 66, 162, 306, 486, 690?\n\"Answer: -2*z**3 + 36*z**2 + 2*z + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate j**4*y + 75*j**3*y + 4*y + 2 with respect to j.\nAnswer: 4*j**3*y + 225*j**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1211, 2934, 5133, 7808, 10959, 14586, 18689?\nAnswer: 23268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -21575268?\nAnswer: 21575268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -54 (b) -0.2 (c) 5 (d) 2\/37 (e) -2\/95 (f) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.92883 rounded to two decimal places?\nAnswer: 79.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.7651619 rounded to one decimal place?\nAnswer: 8.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 165397 (b) 3 (c) 1\/4 (d) -3 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than -32232?\nAnswer: -32227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (7 + 5)\/(6\/3). Let o(y) = -y**3 + 6*y**2 + 4*y - 3. Let f be o(k). Let v(m) = m + 15. Let u be v(-8). What is the highest common divisor of u and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 56\/32256947?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 471324*x**2 - 389*x + 2. Let t be c(-6). Round t to the nearest 1000000.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10762 or -10734?\nAnswer: -10734","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 296 and 200.\nAnswer: 7400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 18912*h. Let r(a) = -a + 9489 + 2*a - 9489. Calculate p(r(b)).\nAnswer: 18912*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c + 9*c**2 + 6*c**2 - 10*c**2 + 181 + 99.\nAnswer: 5*c**2 + c + 280","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 708, 706, 704, 702?\nAnswer: 700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -3907190.22 to the nearest one hundred thousand.\nAnswer: -3900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 992\/96 - 5\/15. Let v be 16\/40 + 634\/(-10). Let u = v + 103. What is the highest common factor of a and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 2*3*2*sqrt(567)*6)**2.\nAnswer: 5184*sqrt(7) + 2939344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n*n**(-14\/3)))\/(n\/n**8))\/(n**8\/n*n\/(((n\/n**(-2\/17))\/n)\/n*n)))**(-2\/61) assuming n is positive.\nAnswer: n**(-386\/3111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2289, 2, 1 in increasing order.\nAnswer: 1, 2, 5, 2289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4498709?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-7)\/((n*n*n**(-4\/7))\/n))\/(n**1\/n)**46*((n\/(n\/((n*n\/(n*n\/(((n*n\/(n*n**(-3\/8)))\/n)\/n)*n))\/n)))\/n*n**(1\/5))**35 assuming n is positive.\nAnswer: n**(-7129\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -1097*u + 1579. What is the units digit of i(-25)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (58*x - 19*x - 97*x)*(-2*x**2 + 0*x - 1 + 0*x).\nAnswer: 116*x**3 + 58*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 30 - (-1)\/2*(5 - 5). What are the prime factors of (s\/36)\/(6\/3852)?\nAnswer: 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 - 4*y - 1. Let n be s(-7). Suppose -4*w = -2*w - n. What is the remainder when w is divided by 11 + (4\/(-2))\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 + 37698*x - 75394. Give s(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/7 + 9431*g\/7 + 913080.\nAnswer: (g + 735)*(g + 8696)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 1. Let w(z) = z - b + 0 + 0*z. Suppose 2*j = -5*r + 5*j - 3, r + 2*j - 2 = 0. Determine w(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p. Let m(f) = -f. Let y(x) = -2*m(x) - 3*u(x). Let s(n) = 6*n**2 - 24*n. Let i(c) = -c**2 + 2*c. Let b(v) = -12*i(v) - s(v). What is b(y(q))?\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -y**2 + 951*y - 685.\nAnswer: -2*y + 951","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30547\/3 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 2*m - 2, -5*t + 29 = -0*t + 3*m. Let j be (3\/2 - (-8)\/(-4))\/1. Suppose 2*v = -4, v + 4 = -4*d - v. Which is the closest to d? (a) t (b) 3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 4. Suppose v + 4*v - 46 = -m*k, 4*v + 16 = 0. Suppose -3*i = 5*o - k - 0, 5*o - 3 = 2*i. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3468527980*y**3 + 1734263986*y**3 + 1734263989*y**3.\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15.3 + -2.7. Let k = 18.03 + f. Let p = 4.03 - k. Sort -1\/3, p, -2 in ascending order.\nAnswer: -2, -1\/3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.8 + -1. Let q = c + -0.2. Round q to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 522*f. Let s(d) = -d**2. Determine c(s(k)).\nAnswer: -522*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 0. Suppose -h*a = a. Suppose 2*o = -2, -o - 6 + a = -d. Calculate the greatest common factor of 45 and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28505*d**3*j**2 + 2*d**3*j - 2*d**3*z - 10*d**2*j**2*z + 2*d**2 - d*j*z + d*z wrt j?\nAnswer: 57010*d**3 - 20*d**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/9? (a) -2 (b) -3\/4 (c) -6 (d) 2\/39\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 616766 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - (0\/(-2))\/2. Suppose m + 2*m + q = 6, 4*m + 2*q = 8. Let s be 38\/14*-1 + m\/(-7). Sort x, 5, s.\nAnswer: s, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/43942 and 7\/762?\nAnswer: 131826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16442?\nAnswer: 2, 8221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 583 - 2382 - f + 478 + 434 + 637 to the form n + g*f and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29992, -59982, -89966, -119944, -149916?\nAnswer: -179882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 3\/2. Which is the nearest to q? (a) -2\/51 (b) -0.1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 500605 and 286060.\nAnswer: 2002420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 24*x**2 + 44*x + 70. Let m be q(-2). Solve m = 18*w + 8*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5846634 is divided by 224.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -113.2 + 108. Let n = 5.3 + f. What is the third smallest value in 0.04, n, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30.2 + -33.2. Let w = 6 - 4. Let j = -2 + w. Which is the closest to 1? (a) h (b) j (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 2 - 1)*(-1 + 1 + f) + 0*f - 2*f + 4*f - 1558*f + 93*f + 330870 - 330873 to the form y*f + t and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 1\/3 (b) -2\/17 (c) -10\/3 (d) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 9 - 4 + 3 + i. What is the units digit of o(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/1464 and -73\/47580.\nAnswer: 95160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 12*z + 3*z + 4.\nAnswer: -9*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 3:52 PM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, -88, -151, -230, -331, -460, -623, -826?\nAnswer: -1075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 - 2*a + 11. Let k(p) = -p. Let d(b) = -c(b) - k(b). Let o be d(-5). Calculate the common denominator of o*3 + 462\/(-56) and 29\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 + -0.8033\nAnswer: -14.8033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 134.\nAnswer: 53.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4*-2*(-13)\/52. Suppose 4*l + 6 = 7*l. Find the first derivative of u*k**l - 85 + 9*k**2 + 87 wrt k.\nAnswer: 22*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i + i + 5*i - 3*i. Let k(h) = -h. What is d(k(l))?\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -35? (a) 2\/1401 (b) -0.4 (c) -2 (d) -5 (e) -0.0463\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 62 - 58. Let l = -2.98 - 0.02. Let o = l + x. Which is smaller: o or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of -i**3\/3 + 4*i**2 + 11*i - 2. Let w be p(9). Suppose 0 = -0*n - w*n + 48. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a second in milliseconds?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 514 and 486758?\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = 5*m + 60, 0 = -184*g - 393 - 343 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**4 + 5310*q**3 + 2025405*q**2 + 326883600*q + 18948168000.\nAnswer: 5*(q + 171)**2*(q + 360)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x - 2. Let l be t(3). Let c be l\/(-2 - (-5)\/2). What is the remainder when (-80)\/(-3) - c\/(-6) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-27)*(-3)\/(-1). What is the closest to 1 in 3, -4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141*c + 194*c + 89*c - 95*c + 29*c.\nAnswer: 358*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b1a698 (base 12) in base 11?\nAnswer: 32861a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 307?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -293645 divided by 5.\nAnswer: -58729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-3)*-10*162\/(-30). Solve 145*m - 149*m = -k for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 3*c - 12. Let p(j) be the second derivative of 0 + 5\/6*j**3 - c*j + 1\/20*j**5 + 5\/12*j**4 + j**2. Give p(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113151 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y**3 + 7*y**2 + y - 2. Let d(f) = 19*f**2 - 12*f + 5. Let n(c) = 54*c**2 - 34*c + 14. Let h(g) = 17*d(g) - 6*n(g). Determine 2*h(z) + r(z).\nAnswer: 2*z**3 + 5*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 716954869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 AM and 5:58 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -1\/4, -3, -3473?\nAnswer: -3473","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 2\/7, -0.1, -263, -4 in ascending order.\nAnswer: -263, -5, -4, -0.1, 2\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -4*l + 373 + 71, 0 = 5*b - 2*l - 548. Calculate the greatest common factor of 10 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 15 (b) 1 (c) -3 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -151318044 and 5.\nAnswer: -756590220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -54901804.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 106 (b) 2\/5 (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -636 (c) 1110 (d) 4 (e) 0.08\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6002821020 a multiple of 13614?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 192827233 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13ac7b (base 13) to base 7.\nAnswer: -4042361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -161*33286\/(-148897) - 36\nAnswer: -2\/239","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140) + sqrt(140) + (sqrt(140) - 5*1*sqrt(140)) + sqrt(140))\/sqrt(1575).\nAnswer: -2*sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3871*t - 3942*t + 2840 for t.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 + -21. Let i = 2.9 + n. Let k = i + 1.13. Round k to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 3*x - 3*t + 64 = 0, 0 = -5*t - 20. Suppose b = -b + x. What is the remainder when b is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -229149, -916580, -2062299, -3666306, -5728601, -8249184, -11228055?\nAnswer: -14665214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 0. Suppose 0 = -q*s + m + 44, -m = 5*s - 4*m - 55. Solve -3*u = -5*x + s - 5, -u + x = 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -72.00197 - -72. Round k to 4 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven halves of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 49 in decreasing order.\nAnswer: 49, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15107, -30484, -45861, -61238, -76615, -91992?\nAnswer: -107369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*x + 36*x = -5. Suppose 5*y + 38 = -r + 11, x*y + 29 = -2*r. Sort -1, 4, -3, r in increasing order.\nAnswer: -3, r, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 - -25. What is the units digit of 2\/((-3 - n)*(-3)\/24)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**7\/y**(1\/3))\/(y*y**0)**(-41))\/((y**1)**(-35)*(y**(1\/3))**(-43)) assuming y is positive.\nAnswer: y**97","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:00 PM and 3:37 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 + 11*w**2 + 16*w + 16. Calculate p(-9).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 62 + -60. Let g(r) = -2 - r - 2*r**3 + r**3 + 2*r**3 - r**2. Give g(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ntp when three letters picked without replacement from {p: 1, h: 1, t: 1, n: 1, s: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4458.\nAnswer: 2, 3, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 70*d - 10366*d**4 - 18*d**3 - 1 + 10362*d**4 + 17*d**3 in the form x*d**3 + z*d**2 + b + j*d**4 + a*d and give a.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 111*t + 28. Let g be r(-2). Let h = g + 205. Solve 0 = -0*j + 5*j + 3*k - h, 0 = -3*j + 5*k - 7 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-14)\/(j*(j\/j**(4\/7))\/j)*(j**(-4\/3)\/j)**(2\/81) assuming j is positive.\nAnswer: j**(-24641\/1701)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 671136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 329 + -325. Suppose 140 = s*v + 4*h, v - 32 = -4*h - 0*h. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9618 and 212054?\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2576, 9277, 20440, 36065?\n\"Answer: 2231*s**2 + 8*s + 337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.5, 3, -2\/5, 211\/6.\nAnswer: -2\/5, 0.5, 2, 3, 211\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 - 16?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away 142?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22)\/14 + 2 + -1?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -16, 109, 372, 773, 1312, 1989?\n\"Answer: 69*j**2 - 82*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 452970 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3978719\/921 - -4320. Let w = 88411\/4605 + g. Is w < 19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 + 38. What is the remainder when n is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5778721 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 2:24 PM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-10)*(-135)\/144.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 PM and 12:37 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 4*x + 12, -4*f - x = 4*x - 50. Let d be 3 + -1 + (-9 - -7) + -1. Let i be (d - 6\/f)\/(6\/(-135)). Is 35 greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 552851315?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 3 - -5 - (1 + -4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 336 and 44.\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7580 by -5.\nAnswer: 1516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**4 + 338*h**3 + 59622*h**2 + 58598*h - 118556 = 0. Calculate h.\nAnswer: -107, -2, 1, 277","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 5:39 PM?\nAnswer: 11:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40\/287 + 6\/41. Suppose -21 = -4*q - 5*w, 3*q + q + 2*w - 6 = 0. Which is the nearest to q? (a) z (b) -2\/7 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -63 divided by 4\nAnswer: -63\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.4 (b) 2 (c) -4 (d) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -120 + 295. Let t = x - 171. Which is the fourth smallest value? (a) t (b) -4 (c) 0.4 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-272)\/(-20))\/(-2) - (-114)\/19\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of o**7\/105 + o**6\/60 - o**5\/30 - o**4\/12 + 3*o**2\/2 - 1. Let c(a) be the second derivative of h(a). Factor c(x).\nAnswer: 2*x*(x - 1)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35171?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/241, -0.01, 0.5, -0.14.\nAnswer: -0.14, -0.01, 5\/241, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 103978200?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -4. Suppose -3*p - 3*n + 21 = 0, 3*p - 23 = -3*n + n. Let t(w) = 1 + 6*w + 5*w - w**2 - p*w. Calculate t(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -144 - -146. Let a(u) = -2*u**2 + 14 - 28 + 12 - b*u. Calculate a(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-6) - 33\/(-22). Find the first derivative of -43*u**n + 4 - 59*u**2 - 46 + 30*u**2 wrt u.\nAnswer: -144*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 16*g - 7\/2*g**2 = 0.\nAnswer: 0, 32\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dvii when four letters picked without replacement from svirrdiu?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -5 + sqrt(20) + sqrt(5).\nAnswer: -6 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = b + 5*a, 3*a + a - 2 = 3*b. Let v(k) = k**3 - 2*k**2 - 5*k + 4. List the prime factors of v(b).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 65 - (-59 + -17 + 83)\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 38 + -6. Let j = b + -27. Suppose 5*s + 16 = 4*h, -4*h - s = -j*s - 20. Solve 4*a - 1 + h = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/85 and -149\/89760.\nAnswer: 89760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 137798691 divided by 3?\nAnswer: 45932897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*q + 9. Find the third derivative of 7*k**3 + k - 2*k**3 + 4*k**q - k wrt k.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 29*g + 9. Let i be d(2). Suppose f + i = 2*z + 27, f = -4. Solve 2*w - 3*o - z = 0, 4*w + w - 5*o - 35 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**4 - 5*b**4 + 0*b**4)*(9*b - 19*b + 4 + 16*b)*(-3 - 1 - 2).\nAnswer: 72*b**5 + 48*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/4))**(-5\/4)*d**(3\/2)*d**(-5)*((d*d**0)**(11\/4))**15 assuming d is positive.\nAnswer: d**(609\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of -o**5\/30 - 179*o**2 + 1. Let i(r) be the first derivative of 5*r**2\/2 + 1. Calculate f(i(d)).\nAnswer: -50*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 1002*z**2 - 43*z - 167. What is the hundreds digit of v(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 + 4. Let b be v(0). Suppose 160 = 4*a + 2*i, 2*i - 34 - 166 = -5*a. Let u be (-6)\/8*a\/(-15). Solve -3*z + 5*z = -3*r + u, -z - 3*r = -b for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v. Let n be o(-4). Let g be (0 + n)*10\/8. What is the second biggest value in -2\/11, 2, g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 3*w - 4, -2*w + 2 = -j + 1. Are -4\/21 and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 982 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, 0.14, -2, 3, -0.06 in decreasing order.\nAnswer: 3, 0.14, 0.02, -0.06, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(5)*1 + (0 + sqrt(320) - sqrt(5)).\nAnswer: -2 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53305, 213216, 479735, 852862, 1332597, 1918940, 2611891?\nAnswer: 3411450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 68\/18 + 2\/9. Let f(t) = x*t**3 - 3*t**3 + 2 + 0*t**3. Suppose 3*s + s + 20 = 0. Let o(h) = 3*h**3 + 5. Give s*f(d) + 2*o(d).\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -250*j**4 + j**3 + 2*j**2 + 2*j - 2705?\nAnswer: -3000*j**2 + 6*j + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of ((-74944)\/84)\/(-2) + (-14)\/147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 602\/5 - 121. Sort p, -2\/7, 0.05 in decreasing order.\nAnswer: 0.05, -2\/7, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -21*h + 630. Let y be i(30). Is 44\/71 at least y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 23*c + 4. What is the tens digit of h(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**2 - 17*m + 12. Let g be b(8). Suppose -x = g*n - 21, -4*x + x + 27 = 3*n. Let p(h) = 5*h**2 - h**3 - h**2 + 34*h - 20*h - 13*h. Determine p(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160 is divided by (-13)\/52*314*-2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 60048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/342 and 5\/6479.\nAnswer: 116622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 494228 and 266?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9 - -33?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2\/9, -3\/13, -3, -9 in decreasing order.\nAnswer: 1, -2\/9, -3\/13, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t**4 + 3*t**4 + t**4 + (t**2 - 2*t**2 + 4*t**2)*(0*t**2 - t**2 + 0*t**2) + 2*t**4 - 3*t**4 + 4*t**4.\nAnswer: t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*v*y*z**2 - v*y*z + 12*v*y + 52980*v*z**2 - 6*v*z + 4*v + 2*y*z**2 - 32*y*z wrt z.\nAnswer: -16*v*y + 105960*v + 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 285180 is divided by 503.\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65142.\nAnswer: 2, 3, 7, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*o - 8 = 110*o. Solve -o*i - i + f - 18 = 0, -3*f + 21 = -4*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_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 (13 - 23 - (-11 + 9)) + 21?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*i**2 - 55*i**2 - 33*i**2.\nAnswer: -93*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 3512 divide 2442919149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 3*b - 15, 2*b = 2*m + 11 - 1. Suppose m*o + o = 250. Suppose 0*z = 5*z - o. Calculate the highest common divisor of 125 and z.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 22 + -23 + (-2)\/(4\/6). Is 16 a factor of (-2348)\/80*h - 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h + 144 = 486. Suppose 2*g - h + 5 = 0. Suppose -g*i = -25*i - 4. Solve -2*l = -0 + i for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - 1 - (-4 - 1))*-250. What is t rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11537 + -3918. What is the thousands digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.395 - 3.995. Let o = 0.29 + u. Round o to zero dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 12*y - 22. Let c be l(2). Let b(g) be the third derivative of 0*g**3 - 1\/120*g**6 + 0 - 1\/8*g**4 + 1\/20*g**5 - 17*g**2 + 0*g. Calculate b(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33618 + 6*t - 33618.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-10)\/(-2)*(1 + 7)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135\/7342 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i + 4. Let m be x(11). Suppose 3*g = -2*g + m. Let u be -1*3\/3*-1. Calculate the highest common factor of g and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -4 (b) 0.3 (c) 5 (d) -0.4 (e) 0.229\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - 40a?\nAnswer: -410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -3*p**3 + 28*p**2 + 19*p + 16. Calculate the remainder when 796 is divided by j(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2022121100101 (base 3) to base 10\nAnswer: -1232263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 804 and 2640.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -76.9683 to 1 dp.\nAnswer: -77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -369425, -369593, -369873, -370265, -370769, -371385, -372113?\nAnswer: -372953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 - 8*b**2 - b + 10. Let z be r(8). Solve -z*o = 59 - 49 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 8*l**2 - 9*l - 19. Let o be g(10). Let m = o + -86. Solve 0 = 4*w - 2*s - 3 - m, 3*w - 1 = 4*s for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = m + 24, -7*f + 2*f = -5*m - 45. Suppose 3*j + 2*c - 2 = 1, 12 = f*j + c. Suppose -j*b = -155 + 44. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g**4 - g**4 - 2*g**4 + (g**2 - 4*g**2 + 4*g**2)*(-2*g**2 - 4 + 4) + (-4*g + 0*g + 5*g)*(1 - g**3 - 1) - 2*g**4 - g - 4*g**4 + 3*g**4.\nAnswer: -5*g**4 - g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -33767*2*((-15)\/6 + 2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87284722?\nAnswer: 2, 7, 29, 214987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b**2 - 26*b + 6. Let y be k(13). Let s be (-4 + 5)\/(-1 + y\/8). Suppose u = 4*u. Put u, s, 3, 1 in descending order.\nAnswer: 3, 1, u, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 6\/5 of a minute?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*z - 5*z - 22*z)*(-2 + z + 2)*(-2 + 0 + 0) + 2 - 2 + 3*z**2 + (1 - 1 + z)*(-2*z - 1 + 1) as b*z + t*z**2 + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1022976 and 11766.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (86\/2107)\/((-4)\/56*10)\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/3, 112.09, -1\/4, -20?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 PM and 1:03 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39*j - 103*j**3 - 3074 - 587*j**2 + 588*j**2 + 3074 to d*j**3 + s*j**2 + i*j + p and give d.\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9613036 and 348?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.12 + 0.32. Let v = l - 1.6. Let t = 4.4 + v. What is the second smallest value in -0.5, t, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - 1483a22?\nAnswer: -1483a21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of 0*g**2 + 0 + 0*g**3 + 5*g + 37\/12*g**4. Let a(b) = -b. Determine a(c(r)).\nAnswer: -37*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134722 is divided by 398?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23)\/((-138)\/(-18)) - 3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 107, 136, 187, 272, 403, 592, 851?\nAnswer: 1192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164*w + 36 = -3*z - 166*w, 0 = -2*z + 2*w - 14 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1398*o + 1409*o + 55 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4548, 4538, 4516, 4476, 4412, 4318?\n\"Answer: -u**3 - 3*u + 4552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 222766101 a multiple of 2770?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -5*t - 9390. Let j = -37681\/12 - t. What is the common denominator of j and ((-158)\/(-16))\/(10\/4)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*f - f + 2*f + (f - 4*f + f)*(0 - 4 + 5) + (3 + 0 - 2)*(f + f - 4*f) + (-2 + f + 2)*(0 - 1 - 2).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 6*s**2 - s - 8. Let j(t) = -t**2 + 1. Suppose -269 = 38*g - 79. Determine g*j(w) - c(w).\nAnswer: -w**2 + w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i - 10. Let d be p(-8). What is the common denominator of 70\/(-25)*(-195)\/(-24) and d\/(-9)*744\/160?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 427\/5 + -2561\/30. Let a(p) be the third derivative of 0 + 0*p**3 + 1\/12*p**4 + 0*p - b*p**5 - 3*p**2. Solve a(n) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -3*n + 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 10798 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -48*h**4 - 5352*h**3 - 147843*h**2 + 74928*h - 9408.\nAnswer: -3*(h + 56)**2*(4*h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9053 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 98, 195, 292, 389?\n\"Answer: 97*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -15570179 divided by -15570179?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 5*t + 18 = -0*m, 0 = -3*m + t + 30. Let p(s) = 8*s**2 + 90*s - 55. Let z be p(8). Calculate the greatest common divisor of z and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-962)\/(-120) - 10*105\/150 and -33\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 191, 388, 595, 812, 1039?\nAnswer: 1276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 69 and 41292291?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91 + 2297*r**2 + 91.\nAnswer: 2297*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38643, 77290, 115939, 154590, 193243, 231898?\nAnswer: 270555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 2 = -10 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45595824 and 1376?\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-3))\/((-7)\/42)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-14938)\/(-2910) + 0 + -5. Sort 4, -3, 189, p, 5 in decreasing order.\nAnswer: 189, 5, 4, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of r**4\/24 + 70*r**3\/3 + 2*r**2. Let c be m(0). Suppose 0*d - c = -5*d. Is 19 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fgffgfffffffffffff. What is prob of picking 2 f?\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30585 + -29361. Is s a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 294 + -243. Let y = h + -48. Which is the second biggest value? (a) y (b) -0.3 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 2*y - 3*y - 59 = 0, 0 = 2*l + 5*y + 31. Let o = l - -46. What is the highest common factor of 12 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.739102 minutes in nanoseconds?\nAnswer: 44346120000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/14 in 0.1, 0.5, 3, 0.67?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27.3 + 174.3. Let u = 147.000073 - b. Round u to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -2. Suppose -3*q - 4 = -7. Let c = t + q. Is c a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 4 - 19 = 0. Let p(h) = h**3 - 9*h**2 + 8*h - 4. Let a be p(8). Put a, y, 3 in ascending order.\nAnswer: a, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.177441058 <= -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 196072476 and 165828?\nAnswer: 12756","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39183881 and 1012.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189*x**2 - 130*x - 47 - 32*x**3 - 50 - 83*x**2 + 56 + 25 = 0.\nAnswer: -8, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**15*j*j)\/(j**(-1\/4)*j)*(j**(11\/3)\/j)\/j**(2\/9) assuming j is positive.\nAnswer: j**(-371\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of m**5\/20 - m**4\/2 - 4*m**3\/3 + 8*m**2 - 45*m. Is s(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.07, -4, 3, 1.9, 1\/5 in descending order.\nAnswer: 3, 1.9, 1\/5, -0.07, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1127770 and 140?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 626230796?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*u + 29 = -51. Suppose 2*f = -2 + 6. Find the third derivative of u*h**5 - 2*h**5 - 3*h**5 - 15*h**f + 0*h**5 wrt h.\nAnswer: -60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, b: 1, s: 1}. What is prob of sequence bx?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29801\/33 - -903. Let u = 122 + -124. Which is the closest to -2? (a) -1\/3 (b) u (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 + 158*n + 447. Give t(-3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -2\/9 (c) -15\/4 (d) 0.2 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -18.63*-14\nAnswer: 260.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6aca4 (base 14) in base 2?\nAnswer: 111111100101010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2832 + -2832.000031948. What is w rounded to seven dps?\nAnswer: -0.0000319","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 21385*z**2 - 42803*z + 2. Give m(2).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(280)*1)\/sqrt(5))\/(sqrt(648) - -3*sqrt(648)).\nAnswer: sqrt(7)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7 + 7 + 2 - 16 - 14*y**2 + 536*y**5 + 2 wrt y.\nAnswer: 32160*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1\/7, 43\/106, -3468?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 8. Suppose 5*r - 11758 - 54242 = z. What is r rounded to the nearest 1000?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3ee0 - 1?\nAnswer: 3ede","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 + 2*(-5 + 4). Let t(g) = 6*g**2 - 2. Let i be t(z). Solve -i*h - 6 - 10 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-513)\/456*4\/6?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 - -214a?\nAnswer: 2156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -11*d + 239. Let w(x) = -4*x + 119. Determine -2*k(p) + 5*w(p).\nAnswer: 2*p + 117","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2224)\/7784*287\/(-6)*5\/(15\/(-9))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -74 in 0.1, 1, 1224\/5, 3\/13?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 4*v**2 - 12*v - 31. Let z be x(-3). Let o be 5 - z - ((-4 - 0) + 1). Which is greater: -131\/4 or o?\nAnswer: -131\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 282.7484ml to litres.\nAnswer: 0.2827484","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v\/((v\/v**(-13))\/v))\/v)\/v**2)**(-1\/30))**(-41) assuming v is positive.\nAnswer: v**(-41\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10893580.\nAnswer: 2, 5, 353, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p - 2. Suppose -5 = f - 2*f. Suppose 3*z + l = -3 - 3, -4*z + f*l + 11 = 0. Let x be m(z). Let h(d) = -d**2 + d - 11. Determine h(x).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7.9 + 7.8. What is the fourth biggest value in 2\/3, -1\/4, -3, n?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 - 6*m - 5. Let g(p) = -2*p**2 + 5*p + 4. Let f(y) = -6*g(y) - 5*v(y). Calculate f(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4321 - 4320. Which is the nearest to -4? (a) -7 (b) o (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 20833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/((-4)\/340)*1\/1. Suppose -2*z = -5*c + 38, 0*z + 10 = c + 2*z. Suppose -c*d - j = -3*d. Which is bigger: d or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0519 times 2\nAnswer: -0.1038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -17 + 47. Suppose 8*i = 3*i + a. Suppose -3*t = 2*k - 326, t - 16 = -i*t. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 44.9 - 45. Put y, 1, -9 in decreasing order.\nAnswer: 1, y, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 348 = -33. Let j be 31\/y - (-4)\/(-30). Is j >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 43 - -1887?\nAnswer: 18ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 10. Suppose 54 = v + z*j, -2*j = -4*v - 4*j + 176. Is v a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 205848.526638 + 84?\nAnswer: 205932.526638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 250*q**2 - 5 + 2.\nAnswer: -250*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 AM and 10:44 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - 5a025?\nAnswer: -5a029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8038 - -8035. What is the second smallest value in 0, -102, 4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/2 of a century in decades?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*z = 7*z + 18 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.4, -1657 in ascending order.\nAnswer: -1657, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64 + 120*z**2 + 80 - 43 + 39 + 22.\nAnswer: 120*z**2 + 162","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -122031.\nAnswer: -122033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 10:27 AM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -9528 rounded to the nearest one hundred?\nAnswer: -9500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/((-50)\/(-15))*(-2)\/3. Let s = -207 + 208. What is the smallest value in s, -0.5, g?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -116*n - 280. What is the units digit of z(-18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m. Let f(j) be the third derivative of j**5\/60 + 7*j**2. Determine c(f(r)).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/18 and -1\/25847564.\nAnswer: 232628076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.1 and 266\/11 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 5\/3 (b) -12 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 622*n**2 + 809*n**2 + 2708*n**2 - 765*n**2 - 287*n**2 as u*n**2 + k*n + g and give u.\nAnswer: 3087","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004912801041 to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2 + 8*k + 1 + 3 - 4*k**2 + 5*k**2. Let m be f(-8). Solve 2*z + 4 = -m for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -v + 9. Suppose 5*o + 3*t = 31, 0 = -4*o - 3*t + 26. Suppose r + 4 = v*c, -o*r = 4*c - 5*c - 8. Is 2 less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + (sqrt(68) - (sqrt(68) + ((sqrt(68)*1 - sqrt(68))*-6 - sqrt(68)) + sqrt(68))))\/((sqrt(168)\/sqrt(6) - sqrt(28) - sqrt(28))\/sqrt(7)).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 0 = -4*p - 4, 0 = -5*p - 15. Let m(c) = -2*c**3 - 8*c**2 - c + 1. Let v be m(i). Factor -2 + 3*d - 17*d + v*d + 13*d - 2*d**2.\nAnswer: -2*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-2\/11)\/j)\/(j**(1\/5)\/j*j))\/((j*j\/(j**(3\/7)\/j*j*j))\/j)**(-2\/21))**16 assuming j is positive.\nAnswer: j**(-61344\/2695)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.21084781 rounded to three dps?\nAnswer: -0.211","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 104245 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1290, -2, -3, 2\/5, 2\/3 in increasing order.\nAnswer: -3, -2, 2\/5, 2\/3, 1290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.38 - 0.21. Let r = p - -0.39. Round r to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/3 - 430*a\/3 - 2464.\nAnswer: 2*(a - 231)*(a + 16)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1092354 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**2 + 7*g - 57. What is the remainder when m(-10) is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1417576552.\nAnswer: 2, 7, 17, 1489051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1123 - 283. Let v be 1240\/b + 1\/(-3). Factor 5\/7*u**3 - 4\/7*u - 6\/7*u**2 + v - 1\/7*u**4.\nAnswer: -(u - 2)**3*(u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 4 = 0, w + 63 = 7*n - 6*n. Let m(b) = -b**3 + 6*b**2 - 2*b - 6. Let x be m(7). Let k = w - x. Solve 5*g - 22 = -a, -1 = -2*a - k for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 9:18 PM?\nAnswer: 7:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + 15*l**2 - 17*l + 18. Let u(h) = -8*h. Let v be u(2). Let z be y(v). Suppose 249 = 5*k + z. List the prime factors of k.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -69 (b) 39 (c) -3 (d) 2 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of 0*u**2 + 5\/3*u**3 + 0*u - 4. Let i(p) = 2*p. Give i(x(w)).\nAnswer: 10*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ebjmqemc. Give prob of sequence mcj.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 3:47 AM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 0 + -3 + -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -34101424 (base 5) to base 9\nAnswer: -506758","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 143044, 286929, 430826, 574741, 718680, 862649, 1006654?\nAnswer: 1150701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(44\/16 + -3). Suppose -z*m = -4 - 8. Solve v - 5*o + 24 = -m*v, -3*v - 11 = -2*o for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13b847 (base 13) to base 14\nAnswer: c7c02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*r + 310 - 310.\nAnswer: 15*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 440, 859, 1282, 1709, 2140, 2575, 3014?\n\"Answer: 2*s**2 + 413*s + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2983286 is divided by 718.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of p**3\/3 + 5*p**2\/2 + 12*p + 8. Let n be z(-4). Solve n + 7 = 3*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.12, -5\/4, 1020.88, 1\/4, 0.3 in decreasing order.\nAnswer: 1020.88, 0.3, 1\/4, 0.12, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10882297 + 10882297 + 21*a.\nAnswer: 21*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54\/30)\/((-21)\/(-35)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 1 + 2 + -5 + (-2 - -4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 465 (base 8) in base 10?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1432041.5 rounded to the nearest 100?\nAnswer: -1432000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**3\/19 + 1518*c**2\/19 - 2*c\/19 - 1518\/19 = 0. Calculate c.\nAnswer: -759, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -6*d**2 - 3*d + 3. Let b(w) = 5*w**2 + 2*w - 2. Let l(a) = -3*b(a) - 2*u(a). Let r(c) = 4*c - 3*c + 4*c. Give r(l(j)).\nAnswer: -15*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - -28)\/((-12)\/(-24)). Suppose -8*z + g = -0. What is the remainder when 18 is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 58743968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-3 + 55\/20). Suppose 5*f - 136 = m*p, 0 = -3*f - 4*p + 43 + 45. Solve 0 = -4*g + 4*i - f, -g = -0*g + i - 3 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 - 16. Let c(b) = 115*b + 2. Let n be c(g). Suppose -4*a = -4*x + n + 35, 3*x - 5*a = 116. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 5*i = -i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13\/22, 3, -4 in descending order.\nAnswer: 3, -13\/22, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 - 1. Let w(x) = 2*x**3 - 4*x**2 + 2*x - 8. Let s(a) = -w(a) + 8*z(a). Factor s(t).\nAnswer: -2*t*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a kilometer in meters?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - 76*x**2 + 3*x - 231. Let w be j(76). Sort -8092, 5, w, 0.\nAnswer: -8092, w, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = -3*h - 41, -29*h - 8*y - 33 = -30*h for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -3*f**2. Let n(w) be the third derivative of 2*w**4 - 2*w**2 + 82. What is k(n(j))?\nAnswer: -6912*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -464500 (base 10) to base 8.\nAnswer: -1613164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10632 - 7273. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1320 divided by 220?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 8*k = 3*k. Let h(r) = -r**3 + 10. Give h(k).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 1 - 7 = 0. Suppose 1 = -4*v + r - 25, -g*r = 2*v + 8. What is the units digit of (14\/v)\/(4\/(-12))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -111.5 + 112. What is the closest to 3\/4 in 2\/3, s, 2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -23 + 106?\nAnswer: b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1041, -4336, -9825, -17508, -27385, -39456?\n\"Answer: -1097*b**2 - 4*b + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t**4 + 1740*t**3 - 40610*t**2 + 76020*t - 37145 = 0 for t.\nAnswer: 1, 23, 323","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-4)*(-1 + -1). Let t be (-9)\/(-1*9\/(-24)*-4). Suppose 17 = j - 4*u, 2*u + t = -2*j - 0*u. Put 0, m, j in increasing order.\nAnswer: 0, m, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 522*w**2 + 1 + 1 - 4.\nAnswer: 522*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 493700 rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 140.429 - 203.522. Let g = 0.093 + m. Let d = g + 58.9. What is d rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvvvvvv. Give prob of sequence vvvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(2*(sqrt(187) + (sqrt(187) - sqrt(187)*-4) - sqrt(187)) - sqrt(187)))\/(2*sqrt(891)*3).\nAnswer: 2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (42 + -31 - 32).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 8:36 PM?\nAnswer: 1:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1875.94664 + -1876. Round f to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 3*z + 147. Let g = 21 + z. Solve g = x - 4 + 8, -3*x = -3*n + 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1019*d**6 + 14372*d - 14372*d - 324*d**2 wrt d.\nAnswer: 122280*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -2 + (-5 + (sqrt(304) - (sqrt(304) + (sqrt(304) - (0 + sqrt(304))))**2) + 1)*-1 + -1.\nAnswer: -4*sqrt(19) + 307","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18702 + -12712. What is a rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 326 = 3*x - 200 - 173, -60*x - 2*s + 850 = 0 for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r. Suppose 9*y - 2*y - 77 = 0. Suppose 5*u = -y*u + 64. Let d(c) = 19*c - 3*c - u*c. Calculate d(m(q)).\nAnswer: -12*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (6 - (-12 - -19)) + -9 + 3 + 26\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 64 + -22. What is the remainder when -18*(d\/4)\/(-7) is divided by 2\/(-8) - 57\/(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 17*z = 15295. What is the tens digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, 16 in descending order.\nAnswer: 16, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 + 1 + 4)\/(2 - 1). What is the closest to 0.1 in 7\/3, s, 10?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 95 and 703.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of d**4\/4 + 7*d**3\/6 - 5152*d**2. Calculate q(-14).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -101*k**3 + 8*k**2 - 3. Let q(w) = -203*w**3 + 18*w**2 - 7. Give 9*g(t) - 4*q(t).\nAnswer: -97*t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 193531, 193537, 193545, 193555?\nAnswer: 193567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.1 at most as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v**2. Let x(s) be the third derivative of -s**5\/120 - s**3\/2 - 2*s**2. Let z(w) be the first derivative of x(w). Calculate g(z(k)).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-19 + (9 - -5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2 - u + 0*u - 2 + 11*u**2. Let l be f(-1). Let c = l - 8. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35\/(-63)*6*(-20)\/(-10)\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (162*c - 14*c - 104 + 105)*(3 - 3 - c)*(-1 + 3 - 5) as r + m*c + j*c**2 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of 8*h**3\/3 + h**2\/2 - 18*h. Give l(-1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -2*m + 5*a, 4*a - 8*a = -2*m - 16 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 28595 (base 10) to base 8\nAnswer: 67663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.541 + 0.22. Let x = m + 26.521. Let t = 26 - x. What is the third smallest value in t, -1, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.86? (a) 2 (b) -0.13 (c) -4 (d) -5\/2 (e) 1 (f) 10\/321\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39379 is divided by 9489.\nAnswer: 1423","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 224238972 to the nearest integer?\nAnswer: 14975","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 10) in base 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*o = 13*o - 2370 - 2341 + 4772 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (117 - 108) + 5 + -1.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*d**3\/3 + 52*d**2\/3 - 188*d\/3 + 140\/3 = 0. What is d?\nAnswer: 1, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13674?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 303678737 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -x + 48, 0 = -5*x - u - 23 + 191. What is the highest common factor of x and 671?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2173*m**2 + 16*m - 16. Let v be r(1). Calculate the greatest common divisor of v and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -5*a + 170, 3*a - 8*a = -3*z - 195. Let c(g) = g**2 + 2. Let b be c(3). Suppose 5*l - a = -b. Solve 8*f = l*f - 6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 863925 smaller than 863934?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3351 + 1401. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1344837?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 9}. Give prob of picking 3 y.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 23987216 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v**4\/7 - 6035*v**3\/7 - 19652*v**2\/7 - 6060*v\/7 + 2592 = 0 for v.\nAnswer: -2, 3\/4, 1512","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**3*s**0*s*(s**(-1\/5)*s)\/s*s*s**(-7)\/s)**(-13) assuming s is positive.\nAnswer: s**(208\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 21504415?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 55 = 52. Let w = 52 + u. Which is smaller: -0.1 or w?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.14? (a) -0.1 (b) -13904.1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + (-5)\/((-10)\/(-6)). Let x be (-92)\/(-8)*(4 - u). Suppose -2*t = 4*a - a - 150, 0 = -2*t + a + 134. What is the highest common factor of x and t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 59*d**3 + 3*d**2 - 120*d - 241. Determine k(-2).\nAnswer: -461","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 44 = -2*c, -101*d + 200*d - 4*c - 88 = 88*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 8*v + 1. Let d = 79 - 69. Suppose 7*n - d*n + 9 = 0. What is l(n)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35042814 divided by -2\nAnswer: 17521407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -9*a - 67026. Let t(d) = -9*d. Give c(t(o)).\nAnswer: 81*o - 67026","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)*1*4)\/sqrt(11) + -4.\nAnswer: -4 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 12 = 2*s, -29*s + 26*s - 68 = -4*t. Solve -23*c + 15 = -t*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**2\/2 + 2775*a\/2 + 2777 = 0. Calculate a.\nAnswer: -2, 2777","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 171*w**2 - 8208*w - 48. Determine a(48).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 19, -5, -19 in descending order.\nAnswer: 19, 3\/2, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004457172948 to six decimal places.\nAnswer: 0.000446","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83076 = -105*b + 62*b. Does 70 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -268368997*m**2. Let c(q) = 4*q**2. Give b(c(w)).\nAnswer: -4293903952*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, p: 12}. What is prob of sequence ep?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 AM and 4:40 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 488951961 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 573011*a + 7449153. Give g(-13).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -33*u - 12. Let n(y) = 100*y - 1. Let g(h) = 77*h. Let q(c) = -4*g(c) + 3*n(c). Give 2*a(m) - 9*q(m).\nAnswer: 6*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuu when three letters picked without replacement from {u: 11, q: 5}.\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t**2 + 1 - 4 - 13*t**4 + 11*t**4 - 2*t**3 as z*t**2 + c + g*t**4 + a*t + q*t**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/48 and -57\/14704?\nAnswer: 44112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/3 - 8*s**2\/3 - 13*s\/3 - 2.\nAnswer: -(s + 1)**2*(s + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3*l + 23. Calculate the remainder when d(10) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d - 51*q - 96, -3*d + 6*d + 10 + 68 = -2*q + 15 for d.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 601077.\nAnswer: 3, 191, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -120546 divided by 6?\nAnswer: -20091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 0 - (1 + 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 + 4*u**2 - 13*u - 18. Is 20 a factor of m(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2149*f + 21532. What is g(-10)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -73 + 244. Let x = -90 + z. Let s = x - 46. Does 7 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3428711?\nAnswer: 11, 13, 23977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -9 + 12 - 31*1. Let p = k + 30. Solve 7*h - p*h - 5*n - 20 = 0, -5*h + 2*n = -17 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 7) + (14 + -3 - 9).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13368 + -13363. Let g(t) = -1 - t + 7 - 3. Calculate g(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + 4*q**2 - 17*q + 16. Does 3 divide t(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 - 4*z**2 + 17*z + 36. Calculate m(7).\nAnswer: -384","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 5*a + 699 = 4*d, -2*a - 2796 = -4*d. Let b = d - 662. Let o = 44 - 7. Calculate the greatest common divisor of b and o.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 3*f**2)*((1 - 1 + 2)*(-1 - 2 + 2) + 2 - 12 - 3).\nAnswer: -45*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z + z + 10 + 2*z + 10. What is the remainder when s(0) is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 PM and 5:42 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: bb49 (base 13) to base 2\nAnswer: 110010111100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*r - 10*r + 20. Let q(a) = -2*a - r + a + 5. Suppose 0 = 3*t - 3. Determine q(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (3 + -6 - 0 - -6)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g - 40 = j, 175*j - 178*j + 3*g = 0. What is the fifth biggest value in j, -2\/27, 1, -0.4, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5376592?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 + 9*d + 1. What is j(-7)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - -161. Let k = -489 + 513. What is the greatest common divisor of w and k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, t: 6, r: 10}. What is prob of sequence tttt?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 25 - 4?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(1008) + 1 + -2*(sqrt(1008) - (sqrt(1008) + 1)) + sqrt(1008).\nAnswer: 5 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 230343113 (base 5) to base 6\nAnswer: 34010500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -11*a**2 - 5*a + 4. Let q(b) = 33*b**2 + 14*b - 11. What is 3*q(m) + 8*s(m)?\nAnswer: 11*m**2 + 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 + 26 - (9 + (0 - (-9 - -16) - 70)).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 561 greater than or equal to 29788\/53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6\/7*o**2 + 24\/7 - 6\/7*o**3 + 24\/7*o = 0 for o.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b**2 - b + 49. What is the units digit of g(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36284 divided by -2.\nAnswer: -18142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1989, 2509, 3375, 4587, 6145, 8049?\n\"Answer: 173*f**2 + f + 1815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 - 5*f**2 - 5*f - 4. Let y be z(-4). Let i = 12 + -9. Suppose -i*j + 4*o + 27 = y, -2*j + 3*j + 3*o + 4 = 0. Does 3 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 163629899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 35491*-83\nAnswer: -2945753","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1251886099 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/74508071 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -15, 110, 441, 1080, 2129, 3690?\n\"Answer: 17*d**3 + d**2 + 3*d - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = -4*c + 36, -65*i + 5*c = -74*i - 11 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 145376?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 AM and 11:46 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**2 - 6*g**2 + g**2 + 2 + (-3*g + 4*g + g)*(-4 + 4 + 3*g).\nAnswer: g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3544 and 9454949.\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*w**3 + 11*w**3 - 18*w**3 - 11*w**2 in the form y*w**2 + s*w**3 + v + o*w and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16 in 2.35, -1\/6, 0, -17, -0.02, -2?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d - 1. Let c(w) = w. Let z(k) = -3*c(k) - 2*g(k). Let y be z(3). Factor h**2 + y*h + 6*h**2 - 2*h**2.\nAnswer: 5*h*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 97146 and 70.\nAnswer: 485730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 13*g + 11. Let b be 8\/(-6)*(-27)\/(-6). Let v(s) = 7*s + 6. Let i(d) = b*t(d) + 11*v(d). Let c(l) = 3*l**2. Determine i(c(n)).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 18847 = 7*h + 18911, 4*h = -5 - 11 for t.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -29339b (base 15) to base 12\nAnswer: -7b8ab5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - (-7 + -2) - -6 - 12) + -50.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-320)*640\/16.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/4 - 603*a - 363609.\nAnswer: -(a + 1206)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/19 (b) -3 (c) -0.18 (d) -25 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/27)\/(35\/14).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 189 = -56. Suppose 4*r = -2*v + 38, -3*v + l = -2*r + 4*r. Suppose -c + 4*z - v = 0, 0 = -2*z - 0*z + 10. Sort 3, c, -5.\nAnswer: -5, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 - (8 + -17 + -12 + 15)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 115+2596\nAnswer: 2711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - 6*i - 5. Let g be d(8). Let u = -10 + g. Let q = -5 + u. Is -5\/2 at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1754059 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.367 * 980.1\nAnswer: 359.6967","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*o = -53*o - 3616 - 1012. Let c = -13 - -36. What is the remainder when o is divided by c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o**2 - 22*o + 10. Let y(s) = -2*s**2 + 24*s - 11. Let t(i) = -4*d(i) - 3*y(i). Let u be t(-7). What is the units digit of 10\/(-3)*(u\/5 + -1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 PM and 7:58 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10204?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.72 - 11.6556.\nAnswer: -12.3756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of -i**5\/60 + i**4\/4 + 13*i**3\/6 + i**2. Let o be c(7). Let x(a) = 4*a - 1. Let f be x(-1). Sort o, f, -1 in decreasing order.\nAnswer: o, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 212 minutes after 12:51 PM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-2 - -3) - (-2 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of -2\/21*x**3 - 62 + 0*x + 2\/7*x**2. Find g, given that p(g) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**3 - 10*q**2\/3 - 2*q\/3.\nAnswer: 2*q*(q - 1)*(6*q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-15)\/10*(-44)\/6. Let l = -7 + s. Solve 0 = 2*f + 2*f + l for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/51)\/(160\/1360)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(1176)*3*6)\/((sqrt(12) + -2*sqrt(1452) + sqrt(12) - sqrt(12)) + sqrt(12) - (sqrt(12) + sqrt(12)*-1*5))*1)**2.\nAnswer: 63*sqrt(2) + 4481\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 11*s. What is the units digit of d(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 + -18. Let n be (2*1)\/(-4 + 3). Put 5\/2, z, n in descending order.\nAnswer: 5\/2, n, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26300893 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167*v = -160*v - 1568. Does 14 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r. Let x(b) = -14 + 14 + 6*b**2. Determine x(y(t)).\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 447 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 172480 and 250880.\nAnswer: 2759680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1900 and 304.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 5*h + 2*h - 22, -i + 2*h = -10. Solve -4*u = 19*d - i*d + 2, 0 = -u + 3*d + 8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of h**4\/8 - 9*h**3\/2 + 13*h**2. Let t be y(11). What is the third derivative of 3*a**t + 27*a + 10*a**2 - 27*a wrt a?\nAnswer: 360*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000295144 to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, z: 4, v: 2, c: 1, w: 2}. What is prob of sequence ooz?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 36098064?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.6*-0.2.\nAnswer: 0.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c - c + 2*c)*(-2*c + 8*c + c - 2).\nAnswer: -14*c**2 + 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*y - 4*c, 0*y + 4*y - 2*c = 52. What is the least common multiple of 5 and y?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.3 and 594.6699404.\nAnswer: 595.9699404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 10 = 0, -2*r - 2*r + 16 = z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 21573 and 1750.\nAnswer: 37752750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 - 6*i + 7 - i**3 + 10)*(-5 + 3 + 4 - 4 + 3 - 2 + (2 - 5 + 4)*(-2 + 0 + 0)).\nAnswer: 3*i**3 + 18*i + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.9 + -2.9. Let d be (-12)\/(-5) + 4\/(-10). Which is the smallest value? (a) 4 (b) d (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23879401?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173*q - 1610 = 58*q for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.52492 take away 0.117?\nAnswer: -26.64192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 + v. Let t(i) = -345*i**3 + 3*i**2 - 4*i. Calculate t(o) + 3*x(o).\nAnswer: -345*o**3 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2579071 is divided by 882.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/(-39))\/(-1*(-1)\/(-13)). Solve 2*v + 6 = 2*h + v, -j*h + 6 = -3*v for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 22637460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u**3 - 2*u**2 - 14*u + 16. Let v(c) = -c**3 + c**2 + c. Let g(i) = -o(i) + 2*v(i). Factor g(m).\nAnswer: -4*(m - 2)*(m - 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 49*n = 48*n - 3168, 0 = 4*d + 4*n + 6336. Let o = d + 2466. Is 16 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 times 6.04?\nAnswer: 0.4228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11253 and 2178.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - o = -o. Let v be (-1 - (1 + o))*(-125)\/10. Suppose 2*s = -5*p + 5 - v, -p - 3*s - 17 = 0. Let t(j) = 8*j + 3. Give t(p).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.1, -1, 1\/2, -2\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 99 - 61. Suppose 0 = -3*v + 2 - o. Let j be (7 - 0)*v\/(-42). Solve -5*y - 6 = -j*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 63679*g**4 + g**3 - 240*g**2 + 371290*g - 37.\nAnswer: 764148*g**2 + 6*g - 480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/7 - (18\/1260)\/(1\/6). Let g = 1.9 + -2.9. What is the third smallest value in 5, b, 0, g?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -1\/4 (c) -358 (d) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 45, 48, 53, 60, 69?\n\"Answer: o**2 + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2471 and 1841?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*t + 3*t - 2*t + (17 + 3*t - 17)*(20 + 28 - 91) to i + v*t and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 61 - 65. What is the units digit of (g\/3)\/(1\/(-6))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*p + 18 + 18 - 36 to t + v*p and give v.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 + 7*t - 5. Suppose 8*z - 7*z + 9 = 0. Let w = -17 - z. Let i be g(w). Solve 5*h = 2*p + 15, -8 = -i*p - 3*h + 22 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 920797.\nAnswer: 19, 48463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28137 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -16*v + 6. What is the remainder when 55 is divided by (1*-30 - v)\/(-1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/282 and 16\/225075?\nAnswer: 21157050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -0*m - 8. Let u(b) be the second derivative of b - 1\/18*b**4 + 0 + 1\/3*b**m - 1\/30*b**5 + 1\/9*b**3. Factor u(r).\nAnswer: -2*(r - 1)*(r + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99178.5 days in nanoseconds?\nAnswer: 8569022400000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 241\/5 + -2111\/30. Find the common denominator of k and -53\/64.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 2*p**2 - 5*p - 8. Let l be w(4). Suppose 5 = -j + 2*j. Suppose -2*h = 2*h, j*h + 9 = -v. Sort v, -0.5, l.\nAnswer: v, -0.5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (4*sqrt(220)\/sqrt(5)*-4)\/(-6*(3*sqrt(4)*-1 + sqrt(4))).\nAnswer: -4*sqrt(11)\/3 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - (11 - (6 + 9)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64 is divided by 23.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -263601964990 + -2?\nAnswer: -263601964992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**(2\/5)*f))**(2\/23)*(((f**(-2\/3)\/f)\/f)\/f)**(4\/17))\/((f**(-1\/4)*f)**(-15)*(f\/f**(-1))**(-4\/7)) assuming f is positive.\nAnswer: f**(1887763\/164220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -26, -20, -14?\n\"Answer: 6*i - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1314 - 1319 - (3 + -3 + 2 - 7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-55)\/(-15) + -5 - 8\/(-6). Solve i = 2*u - 0 - 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 o, and 1 e when three letters picked without replacement from {u: 1, e: 1, x: 4, k: 3, o: 5, c: 1}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5428\/690)\/59 - (-28)\/15.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 4547?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z**2 + 24*z - 5. Let x be f(12). Sort -1, 3, 0, x in decreasing order.\nAnswer: 3, 0, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -n + 11, 3*n = -4*y - 7 - 2. Let q(f) = f**3 + 6*f**2 + f + 6. Let j be q(y). Which is the nearest to j? (a) 5 (b) 3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -59, 38716, 0.\nAnswer: -59, 0, 38716","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2110300333 (base 4) in base 8?\nAnswer: -2246077","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*j**3 - 6337*j**2 - 68513*j wrt j.\nAnswer: -30*j - 12674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13999 or -13819?\nAnswer: -13999","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 3810 = 4*v, 2*a - 4*v = -2*v + 3808. Let y = -1106 + a. What is the hundreds digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/3 + 0\/1. Determine g, given that x*g**3 + 0*g - 2*g**4 - 2*g + 23*g**2 - 21*g**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*t**5\/2 + 5*t**4\/2 - 350*t**3 + 830*t**2 - 400*t = 0. Calculate t.\nAnswer: -8, 0, 2\/3, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-60)\/45 - 2\/3. Which is smaller: 65 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.24 + -5.24. What is the nearest to -1 in z, 2, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 206613462 and 786.\nAnswer: 786","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 2*d + 22 = -7, -12 = -4*n - 4*d. Let z = -0.07 + -3.93. Let h = 3.5 + z. Which is the third smallest value? (a) h (b) -4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, l: 5}. What is prob of picking 2 z?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19 is divided by (1 - (-6)\/8)\/((-4)\/(-32)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 + -19. Let a = -7 - c. Let z be a*4*3\/6. Solve z*v - v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/(-14)*(-3)\/(-4). Let d = 0.8 - 0.3. Let l = -2.57 - -2.47. What is the third smallest value in l, d, r?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 669*4.\nAnswer: 2676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 699 is divided by 260.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/j**(-9)*j)\/(j\/(j\/((j*j**(-12))\/j))))\/((j**(-1\/36)*j)\/(j**4\/j)) assuming j is positive.\nAnswer: j**(937\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -221684 (base 9) to base 11\nAnswer: -90615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 3*m - 13 = -3*c, -3*c + 11 = 4*m. Suppose -b + 1943 = 4*j, -6*b + c*b = -2*j - 1913. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mxomk. What is prob of picking 1 x and 1 o?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 13734553 to the power of 1\/3, to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33553.65747 + 34056.6574951. Let t = m + -503. What is t rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + ((-10)\/(-4))\/(-5). Suppose 8 = -3*c - 1. Which is smaller: c or v?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17103 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 3) to base 6\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 103 + -115. Which is smaller: c or -9?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + 186. Suppose 5*b = 2*r + m, -2*b - r = -4 - 69. Let i be (-3751 + 1)\/(57\/b). Round i to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) + sqrt(70)*-1*-2 + sqrt(70) + (-4*(sqrt(70)*-2 - sqrt(70)) - sqrt(70)))*-3)\/((3*sqrt(360) + sqrt(360))*3*1).\nAnswer: -5*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 53.374 - -0.026. Let k = 43 - t. Round k to zero dps.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2087438 to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10.7 + 15.7. Put 0.5, a, -6 in descending order.\nAnswer: a, 0.5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1749*s**2 - 949*s**2 + 1023*s**2.\nAnswer: 1823*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((((sqrt(209) + sqrt(209)*-2)*3)\/sqrt(11))**2 - (-1 + sqrt(19)*-2 + 1)) + -2).\nAnswer: -676 - 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k\/(k*k*k*k*k*k**(9\/2)\/k*k*k*k))*k)**12\/(k**(-2\/17))**(7\/10) assuming k is positive.\nAnswer: k**(13777\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 35, 301, 1037, 2483, 4879, 8465?\n\"Answer: 40*u**3 - 5*u**2 + u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 619 + -612.98. Let u = 6 - b. Let m = 0.08 - u. Sort -2\/3, m, -2\/19 in ascending order.\nAnswer: -2\/3, -2\/19, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -98*j**2 - 1986*j - 543. What is h(-20)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23\/441 - 271\/441. Which is the nearest to 1\/2? (a) j (b) -0.13 (c) -2\/5 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -183 in increasing order.\nAnswer: -183, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1.0084, 4, 1\/3, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16333 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of -2*g**5\/5 - 5*g**4\/24 + g**3\/2 - 22*g**2. What is the second derivative of m(o) wrt o?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 23, 134, 437, 1028, 2003, 3458?\n\"Answer: 16*n**3 - n + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1410*z = 1409*z - 5*l - 3, -2*l = 5*z + 15 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-191)\/(-1146)*(-30)\/25.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of 2\/3*n**3 - 3\/2*n**2 + 0*n - 1\/120*n**6 - 1\/6*n**4 + 1\/20*n**5 + 2. Let j(w) be the second derivative of l(w). What is j(3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -49 - -58. Solve -3*k + 0*k - p = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f**2 + 1980*f**3 - 11 - f - 3957*f**3 + 1978*f**3 = 0. What is f?\nAnswer: -11, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1717760?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 53 = -b - 38, 0*u = 3*u + 8*b - 76 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/400 and -109\/993040?\nAnswer: 4965200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 116*g**5 - 148*g**4 - 960*g**3 + 1120*g**2 + 1984*g - 2112 = 0.\nAnswer: -2, 1, 2, 66\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**9\/t)\/t*t*t*(((t\/(t\/t**(-19)*t))\/t*t*t)\/t)\/t)\/(t\/((t*t**(2\/3))\/t*t))**(-4\/19) assuming t is positive.\nAnswer: t**(-692\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -217823\/35070 + -8\/2505. Let t be (-5)\/(-255)*(2 + 4). Let b = t - 2081\/204. What is the common denominator of b and u?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 5*i + 784, 2*w - 3*i = 3*w - 196. Suppose -4*a = p - w, -3*a = -4*a - 3*p + 60. Let x = 73 - 41. What is the greatest common divisor of x and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27 and 63.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 173004?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 less than -7183350.4618?\nAnswer: -7183350.7618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 = -g + j - 25, -4*j + 254 = 5*g. Let w be ((-1)\/(9\/6))\/((-3)\/g). Solve 0 = -4*s + 2*k - w, 3*s - 2 = -k - 6 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 582041 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -254807886.\nAnswer: -101923154.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 203478022 to the nearest integer?\nAnswer: 14265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a kilometer in meters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 49.\nAnswer: -5\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 426 - 8?\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -713 in increasing order.\nAnswer: -713, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 24664, 24704, 24750, 24802?\n\"Answer: 3*t**2 + 31*t + 24630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of -2\/3*x**3 - x**2 - 17 - 46*x + 1\/2*x**4. Let c(h) be the first derivative of j(h). Differentiate c(i) wrt i.\nAnswer: 12*i - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -7.7. Let p = -1593744\/11 + 145139. Let i = p + -253. Which is the third biggest value? (a) g (b) i (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 670*p - 15 = 675*p + 15 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 9, 7, 9, 15?\n\"Answer: 2*k**2 - 8*k + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 111541.9 and 0.3?\nAnswer: 33462.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11697 a multiple of 147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -15, -9, 10 in ascending order.\nAnswer: -15, -9, -5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 6 + ((53 - (2 - -1)) + 161 + -169 - -2)\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((-1 + sqrt(3))**2*1 - (-1*sqrt(12)\/sqrt(4))**2).\nAnswer: -2*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(0 + -3*(-2 + (0 + sqrt(343))**2))*2.\nAnswer: 8184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -25 - (16 + (-49 - -34))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7.2586 kilometers?\nAnswer: 7258600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o**2 - 3*o - 5. Calculate c(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -197632 - -573297. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1831 (base 9) to base 8.\nAnswer: -2575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x. Let k be g(-6). Suppose -r - 2*r + z - 12 = 0, -2*r = 4*z - k. Sort 5, r, 0 in increasing order.\nAnswer: r, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.886397us in milliseconds?\nAnswer: 0.008886397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*h - 12*h + 8*h to y + b*h and give b.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.3396 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -1, 3, 0, 35122 in decreasing order.\nAnswer: 35122, 5, 4, 3, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51734 is divided by 17055.\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37378.02 litres to millilitres.\nAnswer: 37378020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(2 + -2 + -2 + 4 + (sqrt(108)*-1 - sqrt(108) - sqrt(108))))**2.\nAnswer: -288*sqrt(3) + 3904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -106 < -3115999?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 137, 64 in descending order.\nAnswer: 137, 64, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n*n**(2\/7)*n*n*n*n))\/n)\/n*n**(-2\/5)*n*n**(-2)\/(n\/(n*n**(-5))) assuming n is positive.\nAnswer: n**(-409\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 41 and 4961.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2486502?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d**6 - 239074222*d**4 - 734738054*d**2?\nAnswer: 120*d**3 - 5737781328*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**4 + r**3 - r**3 + (-577*r + 410*r + 1211*r)*(-r**3 - 2*r**3 + 4*r**3).\nAnswer: 1046*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3990.14532 microseconds in weeks?\nAnswer: 0.0000000065974625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 72 + -59. Suppose -43 = -l + 5*w - 0*w, -w = l - y. Solve q + 3 = -0*q + o, l = -4*q + o for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16713.\nAnswer: 3, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -3 + (-8 - (4 + -8) - -4)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -8 and -1.0263517753.\nAnswer: -9.0263517753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -63*p**3\/5 - 10632*p**2 - 105375*p - 262650.\nAnswer: -3*(p + 5)**2*(21*p + 17510)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**5\/19 + 7174*u**4\/19 + 6550598*u**3\/19 + 210457730*u**2\/19 + 1820671552*u\/19 + 1616757248\/19 = 0 for u.\nAnswer: -1777, -16, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1790100 a multiple of 585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**(-25)\/z))\/z)\/(z*z**(1\/6)*z) assuming z is positive.\nAnswer: z**(143\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -5*w + 927, -3*o = 3*w - 325 - 230. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2\/7 + 402*c\/7 + 57.\nAnswer: 3*(c + 1)*(c + 133)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -5*h + 3*h + 8 + h - 6*h + 103*h**2. What is the hundreds digit of x(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19*-327423\nAnswer: 6221037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 555\/(-60)*(-45 - 3). What is the greatest common divisor of 12 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (11 - -2) - (-16 + (50 - 38))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7590\/19? (a) -1\/10 (b) 2\/5 (c) -2\/269\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*b + 65*b + 36 = 0. Let j(h) = 3*h**2 + 6*h - 15. Let u be j(b). Solve -5*z - 4*z = -u for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4022 = -8*h + 1882. Suppose -2*x = 3*x + 4*y - 1887, 0 = 2*x - 4*y - h. What are the prime factors of x?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, a: 8, f: 2}. Give prob of sequence ffva.\nAnswer: 4\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4194 and 13514.\nAnswer: 121626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**2 - 540*v = 0.\nAnswer: -540, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00045934 to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 82, 415, 984, 1801, 2878, 4227, 5860?\nAnswer: 7789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -108232, -216457, -324670, -432871, -541060, -649237, -757402?\nAnswer: -865555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -22*s + 24*s + 3 + 3 + 64*s. Let u be d(0). Solve 7 - u = -z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 AM and 1:56 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c**4\/4 + 9*c**3 - 129*c**2\/4 + 45*c - 21 = 0. Calculate c.\nAnswer: 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1398.58511 - -0.24689. Let k = -1404 + f. Let v = 5.1 + k. What is v rounded to 2 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -92, 5, -4, 0, 1, -11 in ascending order.\nAnswer: -92, -11, -4, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 9 = 3*q, 4*x - 3*q = 8 + 1. Calculate the least common multiple of 9 and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eseseeseese. What is prob of sequence see?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 31797.04kg in micrograms?\nAnswer: 31797040000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -105 - -107. Let d be (60\/6)\/(a - (-1)\/(-1)). Suppose -4*t - 84 = -2*x, 9*t - d*t = -3*x + 116. What is the remainder when 71 is divided by x?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2026782829 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.031866 to 3 dps.\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = 3*w - 4972 + 5057, -3*g - w = -54 for g.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -4. Let b = r + -4. Let s = -3 + 2. What is the closest to b in 3, 1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of 5*x**6\/6 - 564*x**5\/5 + 7784*x**3\/3 - 7386. Find the third derivative of t(w) wrt w.\nAnswer: 300*w**2 - 13536*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 + d**2 + d - 1. Let s(h) = 27*h**3 + h**2 + h - 1. Determine l(b) - s(b).\nAnswer: -26*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (355264\/(-2340))\/122*(-6)\/14.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -7*n**2 - 318*n + 2978. Determine i(8).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -211047, -211052, -211057?\n\"Answer: -5*r - 211042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4.9358665 and 517416.\nAnswer: 517420.9358665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -19*g**2. Let o be (-726)\/(-15) + (-2)\/5. Let n(k) = 43 + o - 2*k - 91. Give s(n(w)).\nAnswer: -76*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25.02 * 0.3113.\nAnswer: -7.788726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -586 divided by 2\nAnswer: -293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-16 + 27\/((-324)\/(-96)))*236\/32\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.16, -2\/61, -33, -0.1 in descending order.\nAnswer: 0.16, -2\/61, -0.1, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -7658342 greater than 26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132 + 11*w + 128 - 254 - 21*w.\nAnswer: -10*w + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 401*l = 70*l + 4634 for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of i**4\/2 - 2*i**3\/3 + 2*i**2 - 3*i + 52. What is m(2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 + -9.57.\nAnswer: -9.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-12)\/(-15))\/(10\/75). Solve -w = 2*g + g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 94*x + 226. What is g(-3)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -95?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 6:30 PM?\nAnswer: 10:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(3\/(-2))*((-648)\/(-192))\/9.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6958 is divided by 384?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 453268.6 kilometers?\nAnswer: 453268600000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -37 - (-212 + 39 + 99).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 623412737?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 38 + -26. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -914*m**5 - 12*m**4 - 6*m**3 - 993*m - 12. Let h(z) = z**5 - 2*z**4 - z**3 - 2. Let c(o) = -f(o) + 6*h(o). Find the second derivative of c(t) wrt t.\nAnswer: 18400*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7648 and 384.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 9*b - 1. Give a(3).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = g - 0*g. Suppose -g = -z - 6. Calculate the least common multiple of z\/1 + 3 - -15 and 6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -10520*f**2 + 10520*f**2 + 1 + f**3 - f. Let z(k) = 3*k**3 + 3*k**2 - 4*k + 2. What is -2*v(u) + z(u)?\nAnswer: u**3 + 3*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 4 - 4)*(-4 + 6 - 1)*(3*c**2 - c + c) as y*c + z + g*c**2 and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-500)\/264 + (180\/(-54) - -3) + (-65)\/(-26).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 230\/720 - ((-63)\/(-24))\/(-21). Let g(n) be the second derivative of -23*n + y*n**3 - 13\/27*n**4 - 2\/135*n**6 + 0*n**2 + 8\/45*n**5 + 0. Factor g(c).\nAnswer: -4*c*(c - 6)*(c - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9351 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/35)\/(8704\/(-896))\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -52*r**2 + r**3 + 61*r**2 - 57*r**2 - 1 in the form f*r + z + j*r**2 + c*r**3 and give j.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*j + 11. Suppose -35 = -392*v + 397*v. Let l = j - v. Solve -w + 6*w = l for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 210965047 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1599163463 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - (-1 + -1) - 14. Let i be w\/((-44)\/72) + 4. Let o(q) = 16*q + 11. Let y(c) = -3*c - 2. What is i*y(h) + 4*o(h)?\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1105 is divided by 275?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-134*y + 79*y**3 + 273*y - 140*y)*(11 - 11 + 5*y).\nAnswer: 395*y**4 - 5*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of -b**3\/3 + 15*b**2\/2 + 6*b + 4. Suppose -z - 4*q = -3*z + 4, 2*z - 34 = -2*q. Is l(z) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (60*2\/325)\/((-32)\/80)?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14420779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*p + 152 + 359 = 5*o, 0 = -5*p + 7*p + o - 14 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1781461.\nAnswer: 11, 71, 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 3*l - 6. Let a be j(13). Let w(o) = -16 - 9*o + o + a*o. Is w(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3993217 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = 5*o - 3, -3*q - 11 = -q + 3*o for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 z when two letters picked without replacement from {s: 6, z: 13}?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -4, -32 in descending order.\nAnswer: -4, -8, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220983 is divided by 21.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45*(-65)\/40950*4\/(-3).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 - 3*v**2 - 206*v + 837. Determine c(4).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + -1 + -2 + -1. Suppose -54010 = -44*g - 11*g. Let k(a) = 491 + a**2 + 2*a + 488 - g. Calculate k(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from pppipihpppiipp?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*s + 0*s - 2 - 9997*s**3 + 9997*s**3 + 1557*s**4 + 2*s**2 as b*s**4 + r + g*s + x*s**3 + t*s**2 and give b.\nAnswer: 1557","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -21202323213 (base 4) in base 11?\nAnswer: -145a087","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -139 - 0?\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -460 by 2.\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (-5 - -3)) + (4 - 7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + f**2 + f. Let y(w) = -2*w**2 - 2*w - 1. Give -2*q(r) - y(r).\nAnswer: 2*r**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of i**5\/20 + 11*i**3\/6 + 6*i. Find the second derivative of d(p) wrt p.\nAnswer: 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 19 = 3. Suppose g*m = 12*m - 1024. Does 16 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4288219?\nAnswer: 13, 329863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 16\/(-3)*(-6)\/4. Suppose 3*o = 4*n + 18, -2*n - 4 - m = -3*o. Sort o, -0.5, -0.4 in decreasing order.\nAnswer: o, -0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, b: 2, o: 2, v: 2}. Give prob of picking 1 v, 2 d, and 1 b.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141896046?\nAnswer: 2, 3, 313, 75557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -42*d - 2*d + 132 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((119\/(-204))\/(-1))\/(1\/3)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 235*q = 138*q - 170*q + 9345 for q.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41, 187, 431, 773?\nAnswer: 1213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5611, 5702, 5803, 5920, 6059, 6226, 6427, 6668?\nAnswer: 6955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 5\/8298?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v**3 - 9*v**2 + 6*v - 5. Suppose 2*s - 16 = 3*x, 0*x = 4*s + 4*x - 52. Suppose -5 + s = 2*h + 2*t, -h - 3 = 3*t. Is o(h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35809 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2287, -0.1 in ascending order.\nAnswer: -2287, -0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 336343 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*l = -103*l + 21650. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 + -7. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-2))\/(3\/(-1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-26) - 1030\/(-65). Suppose -107 = 3*g - s, -4*s + 185 - 72 = -3*g. Let d = g + p. Do -20 and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(-7)*5\/5)\/(1\/(-1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 141?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31263 + -31203. Calculate the smallest common multiple of k and 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -a - 6. Put -5, a, 0 in ascending order.\nAnswer: -5, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/1126 and 47\/4504?\nAnswer: 4504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.03, -36, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - 1)*(-2)\/10. Let x be 0*(6 + -8 - (0 + -1)). Put -4, g, x in ascending order.\nAnswer: -4, x, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + -1. Let r(y) = -y**2 - 6*y. Let d(l) = l. Let s(v) = a*r(v) + 6*d(v). Let m(b) be the third derivative of b**5\/60 - 7*b**2. Calculate s(m(z)).\nAnswer: -z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 300.753 from -0.03.\nAnswer: -300.783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 3*u - 35. Let w(i) = -i**3 - 9*i**2 + 8*i - 22. Let s be w(-10). Let q be -7*(-4 - s - 5). What is the highest common factor of u and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(30\/40)*-12\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3\/3 + 226*k**2\/3 + 1738*k\/3 - 187230.\nAnswer: -2*(k - 79)**2*(k + 45)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -8*a**3 + 0 - 3*a**2 + 7*a**3 + 6*a**3 - 3 + a. Suppose q = -2, -q - 3*q = 5*f + 33. Let m(o) = -9*o**3 + 5*o**2 - 2*o + 5. Give f*c(p) - 3*m(p).\nAnswer: 2*p**3 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 13 = -43. Calculate the remainder when 24 is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nipippz. What is prob of sequence zn?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3080 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 811753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffxwwfxxwffx. Give prob of picking 2 w and 1 f.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -690*a + 726*a = 1368 for a.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 and 65357498?\nAnswer: 718932478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 0*k - 20 = 0. Let q be k*(3\/(-4))\/1. Let o = q + 3. What is the greatest common factor of 60 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -483616*m + 3090. Is b(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-725)\/(-261))\/(7\/((-126)\/12))*(-18)\/120?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39 and 78?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*l**4 + 8490*l**3 + 93585*l**2 + 174600*l + 42444 = 0 for l.\nAnswer: -393, -9, -2, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o and 1 c when four letters picked without replacement from {w: 1, c: 1, o: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 86254 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14790*g**2 + 59241 wrt g.\nAnswer: 29580*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -8. Let f = h + 0. Let m = 4 + f. List the prime factors of m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 1439*h**3 + 2.\nAnswer: 1439*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(2448) + sqrt(2448))**2*-1.\nAnswer: -9793 + 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -97a583 (base 12) to base 13.\nAnswer: -661851","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d + 30. Let k be b(-15). Let g(a) = a**2. Let t be g(k). Suppose -5*q + 9 = -4*z - t, q = -5*z - 4. What is the least common multiple of q and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -421\/77455 or 0?\nAnswer: -421\/77455","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(1 + 0 + -4). Let h be (-13)\/52*(-48)\/(-9). Put d, h, 0.3 in decreasing order.\nAnswer: d, 0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -26 smaller than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003562 rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by 41\/5 + 4\/(-22 - -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3512323 - -2015?\nAnswer: 3514341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35) + (2*sqrt(385))\/sqrt(11) - sqrt(140)\/(sqrt(12)\/sqrt(3)))\/(((-1*sqrt(294))\/sqrt(7))\/sqrt(6)).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-813618)\/(-36) - (-5)\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 0*p = -3. Suppose 6*k - 99 = p*k. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -41112\/7 + 5902. Does 28 = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + 1222120100?\nAnswer: 1222120100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.04 (b) 6 (c) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55590.\nAnswer: 2, 3, 5, 17, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/(-2))\/((-2)\/(-4)). Let d be (1 - 2) + u - 0. Let s = 25371 + -25375. Does s = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36042948 a multiple of 366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 1 + -4 + 5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 60366, 120718, 181070?\n\"Answer: 60352*u + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-4)\/v**(3\/8))**31\/(v*v**4*v\/(v*v**(-4\/3)*v)*v**(-3\/4)\/(v\/(((v\/v**(-2\/7))\/v)\/v))) assuming v is positive.\nAnswer: v**(-23267\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 99958?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(104) - sqrt(104) - sqrt(104))*5 - (2*(sqrt(104) + 1*sqrt(104) - sqrt(104)) - sqrt(104)))\/(sqrt(1152)*2*5))**2.\nAnswer: 13\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29874045?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -8*y - 4. Let d(m) = 2*m + 1. Let i(w) = 9*d(w) + 2*z(w). Let o(f) = -f - 5. Let g be 1\/1*-1*7. Let j be o(g). What is i(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 20, -1, 1, -22 in ascending order.\nAnswer: -22, -1, 1, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 124*l + 17351. Give x(-140).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 PM and 2:44 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -110 + (4 - -28 - (251 - 265))?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2326*g - 2329*g - y = -1, -4*g - 2*y + 2 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1663654684?\nAnswer: 2, 415913671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - (-42 + -85 + 25)?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from jjfejjjeejjfjejeejej.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3 + 13 = 0. Solve -3*w = -j*w - 10, -5*y - 4*w = 23 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = -w + 7, 2*m + w = 5*m - 5 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of -b**5\/480 - 7*b**4\/64 - 5*b**3\/12 - b**2 - 50. Solve q(n) = 0.\nAnswer: -20, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23221663 (base 7) to base 11\nAnswer: 1173036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 213 - 213. Let n(f) = -2*f**3 + f + 7. Let w be n(v). Solve -z - 3*x + 1 = 0, -5*z - 3*x - 33 = -w*x for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 85 - 102.7. Let h = g + 12.7. Sort h, 0, 5, -6\/11.\nAnswer: h, -6\/11, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*a**2*z**2 + 3*a**2*z - 3*a**2 - 2*a + 188*z**3 - 1666 with respect to z.\nAnswer: -14*a**2*z + 3*a**2 + 564*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -1424*s + 61249. What is z(43)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**2 - 2*i**2 + 2*i**2 + i**2 - i + i + (0 + 0 + i)*(i - i + i) - 21*i + i**2 + 21*i.\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.02 - -17.98. Let r = p - 23. Which is the biggest value? (a) 0.1 (b) -5\/6 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/6*(-1)\/(-2)*-1\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 7 = 2*z - 4*y, -z = y - 1. Suppose -68 = z*r + 16. Let k be 2\/(-4)*888\/r. Is k at least as big as 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (160\/(-100) - (-4)\/(-10)) + 2. Which is smaller: 64 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -40, -2, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 561 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2275*462\/45045*(-6)\/25?\nAnswer: -28\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -8*w**2 + 4. Let p(b) = 2*b**2 + 3*b - 3*b - 3*b**2. Let s = 7 + -8. Let k(i) = s*y(i) + 3*p(i). Differentiate k(q) with respect to q.\nAnswer: 10*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 6, l: 4}. Give prob of sequence lul.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35890 and 40034?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5\/((-10)\/8) - (-6 + 6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -140551 - -1346?\nAnswer: -136202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2184*r = -6753*r + 82584 + 160339 - 83008 for r.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3843395 is divided by 228?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 68850 * -0.5\nAnswer: -34425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4453782, -17815190, -40084204, -71260824, -111345050?\n\"Answer: -4453803*t**2 + t + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l**2 + 14*l + 8. Let b(p) = 9948*p. Calculate n(b(v)).\nAnswer: -197925408*v**2 + 139272*v + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of -a**4\/12 + 3*a**3\/2 + 3*a**2 - 2*a. What are the prime factors of k(7)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 15) to base 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -0*r + 4. Solve -r = g, -v = 2*v + 3*g for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 divided by -989.\nAnswer: -29\/989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.43333 + -0.24333. What is the closest to -1 in 4\/7, 2\/33, s?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22930 and 6360.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1815 and 275.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/10*(-12)\/(-39). Which is the fourth smallest value? (a) 0.03 (b) -1\/3 (c) i (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 + 2*f**2 - f + 2. Let o be t(0). Solve -v - o + 0 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 2 = 2*a, 805*a + 24 = -2*w + 801*a for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/375 (b) 0.6 (c) -0.21 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27227191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - 14*o**2 + o - 20. Let i = -7 + 21. Let q be t(i). What is the tens digit of (44\/(-12))\/1*q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.243593 and -0.04?\nAnswer: -0.00974372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 23*h + 59. Let g be c(-34). Let m = 856 + g. Calculate the remainder when m is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6, 0.5, -15?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 10, 116, -3.\nAnswer: -3, 1, 10, 116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((0\/(-2))\/3)\/(-8 - -10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5 + 6)*0\/2. Suppose w = -5*d + 76 - 21. Calculate the least common multiple of 3 - (-1 - -1)\/1 and d.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.9 in -5375, 8, 12\/7, -3, -2\/3?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 539 + 32*m**2 - 539 + (-2*m - 2 + 2)*(-6*m + 2*m + 2*m).\nAnswer: 36*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - 8*u**2 + 7*u + 3. Let v be y(7). Suppose -s = -3*s - v*k - 11, -22 = 3*s - k. Is ((-1 + -2)*s)\/1 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2\/8 + 20865*d\/8 + 10431\/4.\nAnswer: 3*(d + 1)*(d + 6954)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 14) + (-13 - 0 - (1142 - 1120)).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 12 + 30?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 403965 is divided by 11866.\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 + 2*n**2 + n + 6. What is w(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 - 4442522\/(-77) - 19\/209 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.51854+0\nAnswer: 2.51854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -112\/465 + 10\/93. What is the third smallest value in -4\/3, l, 0.33?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/25942 and 77\/24207592.\nAnswer: 169453144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37 - -12. Let f = n + 10. Let l = -11 - f. What is the third smallest value in -1\/5, l, 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*d + 33*d - 20 = 0. Suppose -d*t - 8 = -24. Is ((-422)\/t)\/(8\/(-16)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 + 89*x - 575. Let n be d(6). Sort n, -12, 47 in descending order.\nAnswer: 47, n, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -320*r + 2 + 5*r**2 + 320*r as b*r + d + a*r**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v**2. Suppose 2*t - 2*s = 86, -5*s + 72 = 5*t - 3*t. Let c(z) = -4*z + 41 - t. What is c(h(g))?\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, u: 1, a: 2, n: 1}. What is prob of picking 4 p?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50 is divided by 23?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 456439 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 - (-3 + 7 + -17) - (4 + -66)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-7821)\/(-1))\/(1\/2). Suppose k = 2*r - f, 10*r - 9*r = 3*f + 7811. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 19.1\nAnswer: 5.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 - 7. Suppose 0 = -6*v - 722 + 140. Let o = v + 106. Calculate the greatest common divisor of x and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 126 and 602?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/91 and 57\/70.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 161 + -649\/4. Put n, 4\/5, 4, -2\/9 in increasing order.\nAnswer: n, -2\/9, 4\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 PM and 7:22 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -3*n**2 - 40*n - 72. Let m be p(-6). Calculate the greatest common factor of m and 1284.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 242352175?\nAnswer: 5, 13, 745699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 277264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -87854\/121 - -726. Let q = n + 11591\/1452. What is the common denominator of q and (-186)\/(-80)*(-2)\/(-6)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 5*h + 35, 3*l - 18 = -0*l - h. Let b(o) = -13*o**2 + 5*o - 4. Let c be b(l). What is the remainder when 39 is divided by (-3)\/(-21) - c\/28?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 12) in base 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 PM and 5:06 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = 4*j - 23. Is 1\/4 greater than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -48 (base 13) to base 12.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 18*((-57)\/171)\/((-1)\/7)*(-158)\/(-1580)\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xuxuuxouuuupuu. Give prob of picking 1 p and 2 x.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*(-5)\/385)\/(6478\/(-22673)).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 688823 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -812 and -21962\/27 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8120555 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(243)*-2 + sqrt(243))**2 + sqrt(243) + -4.\nAnswer: 99*sqrt(3) + 264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(891) + sqrt(891))*-3)**2.\nAnswer: -324*sqrt(11) + 32085","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2757841441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.051 + 75.949. Let n = s - 64.3. Round n to the nearest integer.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -131*h + 120*h + 11. Is h at least 3\/289?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9198 is divided by 9131.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 10, d: 3, q: 2}. What is prob of sequence ddq?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/5 + 45068*r\/5 - 1260336\/5.\nAnswer: -2*(r - 22506)*(r - 28)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 4*t - 6 = 0, 4*u - t = -143 + 170 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/3 - 3083*b**2\/3 + 2377763*b\/3 - 2374681\/3.\nAnswer: (b - 1541)**2*(b - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*k + 68*k = -20, 5*o - 2*k - 16845 = 0. What are the prime factors of o?\nAnswer: 7, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 816666230?\nAnswer: 2, 5, 17, 4803919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 - (-4 + (165 + -152 - (-2 + 1)) + -5)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 32, -3, 267, -1 in ascending order.\nAnswer: -3, -1, 4, 32, 267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 5*n)*(-n**2 + 3*n**2 + 0*n**2 + (3*n - 4*n + 2*n)*(6 - 4*n - 6) + 1 - 1 - n**2).\nAnswer: -15*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -17893059.7 rounded to the nearest 10000?\nAnswer: -17890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 5*b = -2720, -4*b = 6*m - 8*m + 1084. Let o = -250 + m. What are the prime factors of o?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -74*u**2 - u - 1. Give c(1).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 196 = -2*o, -2*o - 3*o - 15 = 0. Suppose -3*m - 4*z - d = -0*z, 16 = -2*m - 5*z. What is the tens digit of 291*(2 - 4)*3\/m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2405442995 from 1171.\nAnswer: -2405441824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -145 + 103. Let o be 96\/q + 2 + 172\/14. Calculate the highest common divisor of o and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32361*m - 822 - 868 + 1690.\nAnswer: 32361*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of 9*h + 44 + 1\/3*h**3 - 18*h**4 + 0*h**2. Find the third derivative of c(l) wrt l.\nAnswer: -432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/(-21)*(-279)\/((-102114)\/(-1708))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 922146610?\nAnswer: 2, 5, 7, 11, 43, 27851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 317*d**5 + 763*d**2 wrt d?\nAnswer: 19020*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4722, -8411, -12102, -15795?\n\"Answer: -x**2 - 3686*x - 1035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-31)\/(-21) + 11*5\/(-385)\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -16, -35, -58, -85, -116?\n\"Answer: -2*q**2 - 13*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151 is divided by 63.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -6580200 to the nearest one hundred thousand.\nAnswer: -6600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17581 - 7891. List the prime factors of m.\nAnswer: 2, 3, 5, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 847007\/36 + -23529. Which is bigger: r or -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2. Let c(x) = 5*x**2 + x - 2. Let p(a) = -c(a) + 6*h(a). What are the prime factors of p(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/((t**(3\/14)\/t)\/t))\/t)**(-4\/7) assuming t is positive.\nAnswer: t**(-78\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 7 + 1)*(-3*w - 3*w + 4*w)*(224 - 224 - 69*w) to the form p + l*w + h*w**2 and give h.\nAnswer: -552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/7 in -8, 3, 3\/8, 1?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 - 44. Let j = -72 - y. Let x = 89 + j. What are the prime factors of x?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32 by -7.\nAnswer: -32\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/13)\/r**6*(r\/(r\/(r*r**(1\/3))))**(7\/3))**(2\/45) assuming r is positive.\nAnswer: r**(-712\/5265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -4*w - 6. Let y(f) = 5*f + 5. Let x(c) = -3*t(c) - 2*y(c). Calculate the remainder when 43 is divided by x(7).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4325 and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 218026962?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of b**8\/168 + b**5\/30 - 3*b**2\/2 - b. Let x(u) be the first derivative of p(u). What is the third derivative of x(n) wrt n?\nAnswer: 120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of o**4\/2 - 10*o**3\/3 + 8*o**2 - 8*o - 1. Determine h, given that y(h) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 9:01 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -155099.73884 less than 0.7?\nAnswer: 155100.43884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -3. Let s = q - -2.6. Which is the second smallest value? (a) 3\/2 (b) s (c) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence szb when three letters picked without replacement from zszbbzzs.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -9*v**4 + 7*v + 5. Let h(t) = 4*t**4 - 4*t - 3. Let g(b) = 5*h(b) + 3*z(b). Find the second derivative of g(s) wrt s.\nAnswer: -84*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (105\/(-6) + -2)*(-6)\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 5*l + 52, -4*l = y - 5*y + 16. Suppose 2*z = 4*u - 9*u + 7, -5*z - 20 = 0. What is the remainder when y is divided by u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -3*r - 1. Let x be u(-2). Let v be 20 + -6 + -16 + -4. Is (54 + -1)*x\/((-10)\/v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 231 a factor of 6671742?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.3 - -1.7. Let t = -6 + f. What is the closest to t in -0.3, -4, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000072 to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 12 = -3*p + 4*v, -4*v = 5*p - 24. Suppose 4*w = -0*w - p. What is the remainder when 1 is divided by 1\/(-3*w\/3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 191*g**2 - 3*g + 3. Is n(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r - 4. Let g be z(6). Let f(t) = t**3 + 6*t**2 + 5*t + 7. Let m be f(-5). Let a = g + m. What is the remainder when a is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-80)\/(-32) + 22 - (3\/(-2) - -1). Solve q - 25 = -33*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 8 = -4*l + 3*s, 5*l = 2*s + 21. Let x(t) = t + 3 + t**3 + t**2 + 0*t**2 - l*t. Is x(2) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 - 8*b + 5. Let j be r(-8). Let o = -0.11 + 0.01. Let p = 0.35 + -0.05. What is the closest to o in j, p, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, w: 3, b: 2, y: 1, j: 1}. What is prob of picking 3 w and 1 b?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o + 4*o = -18. Solve -o*a = -a - 10 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2911*o + 387506 = -1443*o for o.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -158194, -1, -3, 5, -9.\nAnswer: -158194, -9, -4, -3, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*v + 23*v + 4132905 = 86*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*i + 8 + 9*i + 13*i + 5*i - 2*i - i + 1 - i - 1 + (3*i - 3*i + 2*i)*(0 + 4 - 5) + 3*i + i - 2*i to the form w + v*i and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 519266 and -2?\nAnswer: -1038532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 2700.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -6*(sqrt(98) + 0))**2*4 + 4 - -6*((0 + sqrt(98) + (sqrt(98) - (sqrt(98) + 0)))**2 - (4 + -2*sqrt(98))).\nAnswer: -1596*sqrt(2) + 14780","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of -g**4\/12 + g**3\/3 + g**2\/2 - 131*g. Suppose -2*m - m = -12. Let l be t(m). Let h(d) = -d**2 - 7*d - 1. What is h(l)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -121.4968*0.03\nAnswer: -3.644904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 126*u - 131*u + 3 = 0, -u = -2*k + 21 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 49 + -37. Suppose i*j - 24 = 2676. Calculate the remainder when j is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 384 is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*(4\/(-6) - -2). Suppose 8 + 12 = 4*o, 4 = -b + k*o. Is 8 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 - 2*p**2 + 2. Let m be z(0). Suppose 5*q = m*f - 905, -5*q + 12 = -q. Calculate the highest common factor of 20 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-55 - (1 + 0))*-1?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 3*c - 3. Let o(w) = -14*w**2. Give o(p(n)).\nAnswer: -126*n**2 + 252*n - 126","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (1050\/(-28))\/25 - (-497)\/250 and 54\/125.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 83\/536 - 2\/67. What is the second smallest value in l, 1.4, -2\/5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -104 in -0.4, 3, -16\/13, 1\/5?\nAnswer: -16\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5, -14, 3, 70, 211, 450?\n\"Answer: 4*w**3 - 11*w**2 - 4*w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 921157008 a multiple of 428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -7. Let y be (-92)\/(-22) - (-4)\/(-22). Suppose 2*i = -2*i + 2*t + 16, y*i - 3*t - 16 = 0. Solve -3*q + 2*q + i*z = 18, -23 = q - g*z for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*y + 5*o - 29, 9 + 8 = 2*y + 3*o for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 - -13. What is the second derivative of -11*z**3 + 5 - 6 + b + 19*z wrt z?\nAnswer: -66*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 3*h - 54. What is the greatest common divisor of h and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111812 * -3\nAnswer: -335436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/7 (b) -50\/231 (c) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 10:36 AM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 minus 9208769571490?\nAnswer: -9208769571489.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1633\/15 < 186\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 33 = -4*h. Let g be 4\/(-8) + h\/18. Let z = -0.1 + 0.6. Sort 2, z, g.\nAnswer: z, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*s = 103*s + 15 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(1 + (sqrt(2448) - (-2 + sqrt(2448))))*-4 + -5)*-5 + 5)**2.\nAnswer: 8100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 742?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 - 3*h + 7. Let p = -62 + 59. Determine x(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express m + 24*m - m - 2*m in the form v*m + p and give v.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*t**2 + 4112*t - 2213120.\nAnswer: 4*(t + 364)*(7*t - 1520)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = -5*w + 43, 4*w - 29 = -9*n + 12*n for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 73 + 0 + (28 - (-54 + 19 - -52))\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*5*(-36)\/13650*7?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.1 (b) 130 (c) -2.8 (d) 10 (e) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10088 and 2392?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 166276759 to the nearest integer?\nAnswer: 12895","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 599996 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1769 a factor of 43722604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 140 + -125.3. Let j = 0.7 - k. Let f = -11.9 - j. What is f rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of -128*r + 11 + 1342*r**5 - 1343*r**5 + 49 + 98. What is the first derivative of z(o) wrt o?\nAnswer: -20*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 2907?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*j - 10*x + 32 = 22*j + 14*j, 2*j - 26 = -16*x for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 560832 divided by 24\nAnswer: 23368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.97 and 4.\nAnswer: 11.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkkkkkk. What is prob of sequence kkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 565.924057 + -0.014057. Let n = c - 569. Let z = -3 - n. Round z to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 77 and 154?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6, -1\/3, -45\/14?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + f = 160 - 158, b - 28 = 5*f for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4756621*z**6 - z**4 - 3532295*z**2 + z - 1.\nAnswer: 570794520*z**3 - 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 22 - 2 = 0. What is the units digit of 1\/g + 30\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -2*m - 26 + 38, 2*x = m. Solve -5*y - 2 = -4*c - 0*y, -x*c - y = 6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7057388)\/8*(-6)\/39 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 22*f. What is the tens digit of y(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1806 and 16286508?\nAnswer: 16286508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 29, -30, -123, -244, -387, -546?\n\"Answer: s**3 - 23*s**2 + 3*s + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 2*q - 28 = 0, -2*q - 17 = -4*f - 45. What is the biggest value in -0.1, 0.3, f?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 - 25*r + 48. Calculate j(19).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -17492 divided by -38857\nAnswer: 17492\/38857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 76612738\nAnswer: -1\/76612738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-p**3 - 5*p**2 + 5*p**2)*(1575124850 - 1575124861 - 905*p - 232*p) to a*p**2 + w*p**3 + f*p**4 + i*p + x and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 74751, 149505, 224273, 299061, 373875?\n\"Answer: z**3 + z**2 + 74744*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2180 - -2194. What is the highest common factor of v and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, b: 4, c: 3, t: 4, g: 6}. What is prob of sequence gbcb?\nAnswer: 3\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 400049, 800187, 1200415, 1600733, 2001141, 2401639?\n\"Answer: 45*s**2 + 400003*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 1\/7, -11, -1\/3 in descending order.\nAnswer: 1\/7, -0.1, -1\/3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 + 3*k**2 - 2. Let i(s) = 5*s**2 + 4*s**2 - 10*s**2. Calculate -2*i(g) - y(g).\nAnswer: g**3 - g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 8, p: 1, w: 2, i: 4}. What is prob of picking 1 p, 1 a, and 1 i?\nAnswer: 32\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 5*c = 68, -335*w - 4*c = -330*w + 340. Is -84 smaller than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.61 + 0.21. Suppose -r + 4 - 1 = 0. Let g be (1 + -1)\/((-3)\/(-3)). Which is the nearest to g? (a) o (b) -1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 - 39*u - 27*u + 66*u. Let b(o) = -18*o**2 - 7. Give b(a(i)).\nAnswer: -18*i**4 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vypzovz. Give prob of sequence vooz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 698180 and 140?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 2*t - 2 = 0, t = 2*v - 6*v + 1 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 3*y**2 + 4*y + 2. Let u be c(4). Find the third derivative of 2*w**3 - 2*w**2 - 7*w**u + 9*w**3 + w**2 wrt w.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6866.00004703 - -6866. What is l rounded to 6 decimal places?\nAnswer: -0.000047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 602267804 to the nearest integer?\nAnswer: 24541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 309915.\nAnswer: -2\/309915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 50\/4*60\/75. Solve 4*o = 3*t - o - 37, 0 = 2*o + j for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 - 2*p**2 + p - 3. Let x(v) = -v**2 - 1. Let w(a) = l(a) - 2*x(a). Suppose -3*f + 7 = 4. Let m(s) = 3*s**3 + 5*s - 5. Calculate f*m(g) - 5*w(g).\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -3. Let s = -41.4 - -41. Which is the nearest to 1? (a) -4 (b) s (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 115087 (base 9) to base 4\nAnswer: 100323112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/26 and -44\/217.\nAnswer: 5642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*n + 9 = -19*n. Suppose 0 = -4*a - 2*j + 644, -4*j + 168 = 4*a - n*a. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.050004154 - -0.05. What is p rounded to 7 dps?\nAnswer: -0.0000042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 5 + 5 + 40*p - 4 + 2. Let j be k(-1). Which is smaller: j or -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36 - 22. Suppose -f + 6 = -2*k - 0*k, 2*f = 5*k + h. Is 8\/(-3)*-18 + f a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*b + 3072 = -98*b. Let c be ((-20)\/6 - -2) + b\/(-24). Solve -6*s = -11*s - c for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20.6 - 20.5. What is the closest to -1 in -2\/3, -20\/13, z?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-2) - (1 - 1). Suppose f + 6 = -y*f. Let z = -88 - -88. Sort 5, f, z in descending order.\nAnswer: 5, z, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**3*c**13)**(2\/37) assuming c is positive.\nAnswer: c**(34\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from mmbmmmmbmmbmmmmmmomm.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3198594 a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7.5 + 7. Which is the smallest value? (a) 0.2 (b) m (c) 2\/11 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 4 - -11) + -10 + (-1 - 16)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence an when two letters picked without replacement from nmmlacz.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 + 15*l - 14. Let s be (-19 - 4 - -3) + 4. Let p be q(s). Let b(i) = -12*i**2 - 24*i**2 - 2*i**p. Let w(m) = m. Give w(b(x)).\nAnswer: -38*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 135833327?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -2037 (c) 12 (d) 47\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4a (base 15) to base 12\nAnswer: 5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5181815 is divided by 1295438?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 4297 = 4*p, -2*v + 3*p = 2*v - 5771. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 1 + 3 = 3*t, 5*r - 10 = 5*t. Let a be (-1 - t)*(-3)\/6. Suppose a - 3 = -p. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - v)*(-2 + 1 - 1) + (171 - 171 - 13*v)*(-2 - 3 + 3) to the form r*v + l and give r.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -2561 + 5080 + 11*y**2 - 2586 in the form a*y**2 + i + l*y and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 73 + (-79 - -13) + -45 + (1 - 2).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 5:40 AM?\nAnswer: 2:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 37*o - 6. Let q(u) = 37*u - 5. Let a(z) = -2*h(z) + 3*q(z). Let t be a(-1). Let k = t + 114. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66) + -6*(sqrt(66) + (sqrt(66) - (2*sqrt(66) + sqrt(66))) - sqrt(66) - sqrt(66)) + sqrt(66))\/(-6*-4*sqrt(6)).\nAnswer: 5*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 5*i + 6 = 0, -13*o - 62 = -18*o - 2*i. Is 14 greater than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q**2 - 3*q**2 + 6*q**2. Let b(x) = -9*x + 3*x + 9*x. What is b(l(t))?\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11*c*q**3 - 7*c*q**2 + 7*c*q - 10*q**3 - 129 wrt c.\nAnswer: -11*q**3 - 7*q**2 + 7*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -7338 to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 40967 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + d. Let z(n) = -3*n**4 - 9*n**3 + 6*n**2 - 12*n. Let p(u) = 12*w(u) + z(u). Solve p(l) = 0 for l.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1805824 = 0.07?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8.9 and -45041.\nAnswer: 400864.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -78 + 83. Let o(v) = -2*v**2 + 16*v - 27. Let f be o(n). Let g = 4 - f. Solve 4*i + 5*a - 7 + g = 0, -2 = -3*i - 5*a for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4680*l - 702 = -4713*l - 108 for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - 10342520?\nAnswer: -10342514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43438?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (33*t**3 - 6*t**3 - 13*t**3)*((-2 - 1 - 2)*(-6 + 2 + 3) - 4 + 3 + 2) to the form u*t**3 + n + r*t**2 + i*t and give u.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u - 12. Let w = 20 + -11. Let y be k(w). What is the common denominator of (780\/(-16))\/(y\/1) and -33\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(-1))\/(b**(3\/10)\/b))\/(b**(1\/2))**(-5\/6))**28 assuming b is positive.\nAnswer: b**(469\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 29108 bigger than 29106?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -1399\nAnswer: 4197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.019 and 0.09?\nAnswer: 0.109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158*l - 670 = 24*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 + v**2 + 2. Let a be n(-2). Let d = -61 - -65. Solve -x = -y + 6, d*x - 4*y = -5*y - a for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -5*w**3 + 30*w**2 + 26*w - 125. Calculate o(7).\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.0081 (b) 0.2 (c) 1\/6 (d) -0.65 (e) -11\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h**2 - 28 + 16 + 12.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnnnnnn. Give prob of picking 2 n.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*c**3 + 5*c**3 + 2*c**2 + 14*c**3 as a*c**2 + v*c**3 + q*c + u and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0077377 to 3 decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1829 - 1828.999107. What is o rounded to four decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d**4 + 808*d**3 - 5*d**2 - 56.\nAnswer: 24*d + 4848","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 12 = -5*f - 0*h, 4*h = 2*f - 16 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {p: 9, v: 5}?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = 27*y - 170 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of -14*9\/12*-6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 4:26 AM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 + y**2 + 2*y**2. Let t = 17 - 8. Let p(r) = -t*r**2 + 1 + 7*r**2 - 1. What is p(j(i))?\nAnswer: -8*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19\/(19\/10954) - -5.\nAnswer: 3, 13, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 6 = -10. Let i be 1\/a*(-10)\/(-20). Suppose 3*n = -1 - 2. Which is greater: n or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -810909 and 4642.825.\nAnswer: -806266.175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/397147346 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 580346 + -9?\nAnswer: 58033a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 PM and 4:02 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 686*v**3 - 66195*v + 66195*v.\nAnswer: 686*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwhisxwwisyy. What is prob of picking 1 s and 1 y?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 83, 0, 1 in ascending order.\nAnswer: -5, 0, 1, 5, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirty-one halves of a millimeter?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -4*i - 6. Let b(y) = -9*y - 12. Let z(h) = -3*b(h) + 7*r(h). Determine z(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3552 by 592.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -311*w - 44 + 977 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31036675.\nAnswer: 5, 1241467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 79 + 75. Sort 3, 0, s in descending order.\nAnswer: 3, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -127648790 to the nearest 1000000.\nAnswer: -128000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 78157081 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.20749 to three dps.\nAnswer: 0.207","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/5 of a millennium?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/7 (b) 1\/3 (c) 777 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*j + 5 - 5 - 2*j - 2*j + 2*j + (4 - 1 - 2)*(2*j + j - 4*j) + j + j - 3*j - 2*j + 3*j - 2*j + j - 2 + 2 + 13 - 3 - 54 - j as a*j + l and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.3, 23, 0.4, 151.7, 2, 5?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 8 = 4. Calculate the remainder when (-172)\/(-6) + i\/(-9) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1501?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 76382\/14 - (8 + (-6)\/(-56)*-76)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c + 1. Let m(d) = -8*d - 3. Let w(k) = m(k) + y(k). Suppose -4*s - 10 = -6*s. Let g(a) = -4*a - 1. Determine s*g(b) - 3*w(b).\nAnswer: b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 AM and 4:17 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 AM and 7:50 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 9 = 3. Find the third derivative of 2*u**5 - 3*u**5 + u**q - u**5 wrt u.\nAnswer: -120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 - -11) + (-3 - -7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1769 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (-60 - -59 - (1 + 1 - 6)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1249, 4021, 8647, 15133, 23485, 33709, 45811, 59797?\n\"Answer: t**3 + 921*t**2 + 2*t + 325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 876 or 877?\nAnswer: 876","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 32 - -224. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 6*k**2 - 7*k - 32. Let r be w(4). Solve 3*l = -15*l - r for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) -3\/2 (c) 139668 (d) 0.1 (e) 1\/16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 112, 4, -3, -128, 174 in decreasing order.\nAnswer: 174, 112, 4, -3, -128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 i when two letters picked without replacement from {v: 1, i: 1, m: 1, w: 1, z: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x. Let g(b) = 0 + 2*b - 6 + 2. Let v(k) = k + 9. Let m be v(-5). Let f be g(m). Calculate z(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 - a. Let p(z) = 7*z**2 - 11*z + 2. Let d(q) = -p(q) + 6*v(q). Let c be d(4). Solve 0 = c*m - 0*m - 10 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27421956?\nAnswer: 2, 3, 253907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 236*t - 40*t**4 + t**3 + 0*t**3 - 234*t to the form q*t**4 + b + y*t + s*t**3 + i*t**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (36\/54)\/((-769)\/771 - -1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(1100) + 3).\nAnswer: 3 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22 - 14. Calculate the greatest common factor of o and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -239*g - 281*g - 18608 + 5048 = 384*g for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 3*u = 3, -6*k = -4*k - u - 8 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/(-40) + (-18)\/(-10). Find the third derivative of z**r + 11*z**4 - 8*z**2 + 3*z**2 wrt z.\nAnswer: 264*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = -2*w + 24, 53 = -1277*w + 1281*w - 3*n for w.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(65) - (sqrt(65) + -1*sqrt(65)) - sqrt(65)))\/(-1*sqrt(80)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2973140561?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o - 3. Let u(z) be the second derivative of -7*z**3\/3 + 11*z**2 + 8*z. Determine 6*u(k) + 44*x(k).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24921 - 6561 = 6*y. Suppose 2*f - y = -7*f. Is f a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1268)\/(-36) + (-6)\/27. Let c(q) = -s + 20 - 5*q + 15. Let f(k) = 2*k + 1 - 1. Give c(f(m)).\nAnswer: -10*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 1 = -0*a + 5*a, 4*y = -4*a. Let k(h) = -30*h + 1. Calculate the remainder when k(a) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/954 and 21\/16.\nAnswer: 7632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144543986 - 24*m**2 - 144543986.\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f**3 - 12*f**2 - 15*f + 17. Let l be k(7). Let n be 72\/90*25\/l. Solve -3*z - 5*b = -20, -6 = 5*z - b - n for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 647593.6 litres to millilitres.\nAnswer: 647593600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*h*u**2 - 2386*h*u - 25*u**3 wrt u?\nAnswer: 28*h - 150*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3849 - -2?\nAnswer: 3850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 z when three letters picked without replacement from {z: 4, y: 4, k: 7}.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of 3*l**6\/40 - l**4\/2 + l**2. Find the second derivative of w(y) wrt y.\nAnswer: 54*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 134 and 603.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47, -91, -135, -179?\nAnswer: -223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 PM and 12:47 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13822598?\nAnswer: 2, 17, 406547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 4*j - 93. Suppose -b = -4*b + j. Let n(x) = x**2 - 5*x - 3. Let p be n(b). Solve -3*w = 4*h - w - 4, 0 = 3*h + 5*w + p for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-21)\/(-6) + 0\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 93663 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9\/31474 + -44693179\/346214. Let l = 129 + v. Sort -1, 0, l in descending order.\nAnswer: 0, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -14598 (b) -4 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + 1dc6c551?\nAnswer: 1dc6c54b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 933 * 68\nAnswer: 63444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of -3*n**4 - 4*n**3 - 9\/10*n**5 + 0*n**2 - 1\/10*n**6 + 2*n - 3. Find d, given that v(d) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -4*l + 1. Let b(a) = -a + 1. Let u(v) = -3*b(v) + i(v). Let r(m) = -m - 1. Let w be 4\/(32\/(-6))*-4. Calculate w*u(q) - 4*r(q).\nAnswer: q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 6*i**3 - 6 + 6*i**2 - i - i**3 - 4*i**3. Give g(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 2*l + 3310 = 0. Suppose 9*t - 12 = -4*c + 11*t, 4*c + t = 24. Suppose w - 5*w = x - 140, c*x = -w + l. Is 12 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -14*s**4 - 11*s**2 + 11*s - 8. Let k be (3 - 1)*5 - -1. Let a(d) = 7*d**4 + 6*d**2 - 6*d + 4. Let m(c) = k*a(c) + 6*n(c). Differentiate m(u) wrt u.\nAnswer: -28*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from klkklk. What is prob of sequence llkk?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 106 + -104. Let r(w) be the second derivative of 0*w**3 - 4*w + 0*w**4 - 1\/90*w**5 + 0*w**y + 0. Determine t, given that r(t) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a meter in millimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - 4) + 2 + -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1468 + -1468. Which is the second biggest value? (a) q (b) 1.51 (c) -1 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -44 - -46. Let d = 1 - 0.9. What is the nearest to d in x, -3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2281*x - 253053 = 5882*x for x.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -4*p - 131 + 19, -188 = -4*l - p. Suppose -6*d + 3*d = -l. Let m = d + -2. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34437 divided by -3.\nAnswer: -11479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 - (-21 + 3) - 1. Let d be n\/4 + 6\/(-8). Solve 9 = -0*r - d*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 6*z**3 + 4*z**2 - z + 4. Determine s(3).\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -395 - -5927\/15. Let n = -1985 - -1985.1. What is the biggest value in n, y, -1\/4, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (0 + -1)) + -1 + (168 - 162)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bzzzbhaada. What is prob of picking 1 d, 1 h, and 1 z?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2066, -4139, -6216, -8297, -10382, -12471?\n\"Answer: -2*d**2 - 2067*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*a**3 + 12*a**3 - 27*a**3)*(-2*a + 4*a + 2 - 5).\nAnswer: -62*a**4 + 93*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15aaa (base 16) to base 13.\nAnswer: -31518","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 363, -5 in descending order.\nAnswer: 363, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3258 = l - 3*z, 5*z - 5259 = -2*l + 1257. What are the prime factors of l?\nAnswer: 2, 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, -1, 1, 2.\nAnswer: -1, 1, 2, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1021 - -1023. Let t = 15\/38 - -2\/19. Find z, given that 1\/2*z**3 - 1\/4 - 3\/4*z + 3\/4*z**4 - t*z**s + 1\/4*z**5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -196 by -2.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of 0*b**3 - 1\/10*b**5 + 0*b**4 + 4*b**2 + 0 + 0*b + 0*b**6 - 1\/35*b**7. Find the third derivative of r(o) wrt o.\nAnswer: -144*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 AM and 10:51 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a minute in seconds?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 57 = -4*a. Suppose 0 = 4*o + a - 181. What is the remainder when 123 is divided by o?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*q = 35*q. Suppose -3*p - 18 + 186 = q. Factor -3*d**2 + 4 - 7 + 46*d - p*d.\nAnswer: -(d + 3)*(3*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + a + 4. Suppose -a*u = 4*x - 1064, -3*u + 1922 = 5*x + 600. List the prime factors of x.\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -10864\nAnswer: -5\/10864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28385 is divided by 4691?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 466.9 times -48\nAnswer: -22411.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28 and 112?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 + 5*x**2 + 3*x. Let s be d(-4). Solve 13 = -s*n - 7 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24*m**3 + 24*m**3 + 0*m**5 - 4*m**2 + m**5 wrt m?\nAnswer: 60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*u**3\/5 - 2226608*u**2\/5 + 21154942*u\/5 - 50244702\/5 = 0.\nAnswer: -69591, 19\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - ((-11 - -8) + -3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2. Let k(z) be the first derivative of z**5\/24 + 7*z**3\/3 - 13. Let j(f) be the third derivative of k(f). What is q(j(w))?\nAnswer: -25*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 + 7*a**2 + 9*a - 6. Suppose 152 - 442 = -10*q. What is the remainder when b(6) is divided by q?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mvrbvbcm. Give prob of picking 1 m and 1 v.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 1:55 PM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 12 + 2. Suppose a*q + 6 = -92. Let w be (-14)\/q - (-278)\/7. What is the highest common factor of w and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13\/6695337 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, -27, 23 in ascending order.\nAnswer: -27, -4, 2, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -90*k**5 - 231*k**4\/2 - 105*k**3\/4 - 3*k**2\/4 = 0. What is k?\nAnswer: -1, -1\/4, -1\/30, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 4*l**5 - 2090*l**4 + 25716*l**3 - 110512*l**2 + 179648*l - 65280 = 0.\nAnswer: 1\/2, 4, 510","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.27 + 0.03. Let z = -2212\/3327 + -2\/1109. Put -15, i, z, -0.3 in decreasing order.\nAnswer: i, -0.3, z, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of z**5 + 6316*z**4 - 5818*z**3 + 183130332*z wrt z?\nAnswer: 20*z**3 + 75792*z**2 - 34908*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 422, 879, 1324, 1757, 2178, 2587, 2984?\n\"Answer: -6*w**2 + 475*w - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1300)\/7 - (2 + 1 - 3). Let y = j + 186. Let o = 40 - 119\/3. Is o smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0833812 decades in millennia?\nAnswer: 0.000833812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 3*x - 5*x. Let p = x - 7. Suppose 0 = 3*k + 3, 0 = 7*f - p*f - 2*k - 67. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*i + 15 = 24*i. Suppose 4*n - 6 = i*n. What is the tens digit of (4 - 7)\/(n\/106)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/7, 3\/2, -22, -2\/5 in ascending order.\nAnswer: -22, -2\/5, -1\/7, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/3*828\/(-1656))\/((-1)\/57).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 3*u. What is the nearest to u in -0.2, -5, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 768760 and 3843800?\nAnswer: 3843800","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3728, 1, -2, -22 in increasing order.\nAnswer: -22, -2, 1, 5, 3728","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3043642965?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -115 - 2752?\nAnswer: -2867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 2*b = 2*n - 289, 5*n - 3*b - 645 = 0. Solve n = 3*h + 129 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*v + 786 - 856 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 3*h**3 - h**2 + 3*h - 2. What is u(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1131.\nAnswer: 3, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 860422774 to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 11 = 2*p. Let q(n) = -n**2. Let x(c) = -c**2 - 6*c - 2. Let j(o) = -2*q(o) + x(o). Is 2 a factor of j(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27 times -156\nAnswer: 4212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -288*y + 29 = -285*y - 2*c, -2251 = 3*y + 118*c for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1054334 and 158?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 - 7*c - 14. Suppose -341*t = -305*t + 288. What is b(t)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8648677 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + 39*u**2 - 82*u + 262. Calculate g(37).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 l when four letters picked without replacement from {b: 12, l: 7}.\nAnswer: 385\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4584157901 to the nearest integer?\nAnswer: 1661","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 13700\/(-15)*(-60)\/(-3)*3. What is w rounded to the nearest one thousand?\nAnswer: -55000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -390 divided by 78\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 - v. Let l(j) = 3*j + 2. What is l(s) + 4*o(s)?\nAnswer: -4*s**2 - s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 311107268?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2.25 * 230\nAnswer: 517.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.02, -17\/3, 2\/1251 in ascending order.\nAnswer: -17\/3, -0.02, 2\/1251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 2. Let o(g) = -g**3 + 939*g**2 + 3*g**3 - 939*g**2. What is o(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.052 - 1.052. Let u = -358\/11 + 7237\/220. Let x = u - 69\/140. What is the nearest to -1 in -2\/7, x, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1523 + -1368. What is the remainder when x is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 - 19*q**2 - 117. What is t(-19)?\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-124*s - 78*s - 11*s)*(4*s**2 - 4*s**2 + 2*s**2).\nAnswer: -426*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21.3 + 4.3. Let w = -12 - z. Let u be 1\/(-1) - (-3)\/(-2). What is the second smallest value in 2\/15, u, w?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55, -61, -71, -85, -103?\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - 23*w**2 - 23*w - 14. Let x be z(24). Let n = x - 14. Let g = 1007\/4 - 255. Do g and n have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3976 = 4*b + 2*s, -3000 = -3*b - 0*s + 3*s. What is the hundreds digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -746 + 734. Let p(z) = z**3 - z**2 + z - 1. Let f(s) = -6*s**3 + 12*s**2 - 12*s + 12. What is v*p(d) - f(d)?\nAnswer: -6*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uvc when three letters picked without replacement from {u: 1, b: 1, v: 1, x: 3, c: 5}?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 r, 1 v, and 1 j when four letters picked without replacement from {r: 4, l: 2, v: 9, j: 4, y: 1}?\nAnswer: 96\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -4343*x - 743. Let t(s) = -1737*s - 302. Let n(k) = 5*o(k) - 12*t(k). Let f(a) = -29*a - 3. Give 91*f(b) - 3*n(b).\nAnswer: -26*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3\/7 - 462*t**2 - 249018*t - 44740234.\nAnswer: -2*(t + 539)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 100.7498 - 0.5\nAnswer: 100.2498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -579*i**2 + 7*i - 4 + 291*i**2 + 287*i**2. Suppose -1 = l + 3*j, 0 = 2*l + 3*l + 2*j - 21. Is 6 a factor of m(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 17 = 7*g - 2*g, -3*h + 12 = -2*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 + 5*a**2 - 3*a - 7. Give p(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 646?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 3*s + 669, 5*s - 229 - 416 = -3*m. Suppose -7*d = -7332 + m. List the prime factors of d.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 163 + -141. Calculate the least common multiple of 66 and d.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 41 - -125?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1095199 and 10199.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 i when two letters picked without replacement from {c: 1, i: 3, t: 1, u: 2, w: 3, r: 1}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 38*y**2 + 4. Let n(s) = -5*s**2. What is m(n(l))?\nAnswer: 950*l**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -268 + 3186 = 2*v. Calculate the remainder when v is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 6. Suppose z*h - 1 = 1. Differentiate -4 + 8*w**4 - 12*w**4 - h with respect to w.\nAnswer: -16*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -3, 82 in ascending order.\nAnswer: -3, -0.1, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9860 + 771*w + 9860 + 470*w + (2 + 2*w - 2)*(0 + 1 - 3) + (-5*w + 4*w + 2*w)*(5 - 3 - 1).\nAnswer: 1238*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of -l**6\/20 + 3*l**5\/8 - 9*l**4\/8 + 7*l**3\/4 - 3*l**2\/2 - 12*l. Factor k(o).\nAnswer: -3*(o - 2)*(o - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2621.51 rounded to the nearest ten?\nAnswer: -2620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -24476, -48951, -73428, -97907, -122388, -146871?\n\"Answer: -g**2 - 24472*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 0 = -15. Let z = 12 + -6. Let c be (10\/(-15))\/(z\/9). Sort c, w, -4 in descending order.\nAnswer: c, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 14846?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 5*s = -w + 1, 3*w = -3*s + 21. Let j = 0.04 + -0.14. What is the closest to -0.2 in -2\/11, w, j?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9712 - -9713. Let k(m) = -17*m + 6. Let f(d) = -d - 1. Calculate i*k(j) + 5*f(j).\nAnswer: -22*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, 0.4, 6, 1\/25, 243, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -555 + -5?\nAnswer: -562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1692770225 to the power of 1\/2, to the nearest integer?\nAnswer: 41143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*r + 3*r**5 + 3*r - 3*r - 2*r**5 wrt r?\nAnswer: 20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/((-143)\/(-11))*29?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1\/10360 - -782207\/279720. Find the common denominator of 127\/66 and v.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three quarters of a day in hours?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -846 + -2532. Let o = 3378.09999 + f. Let t = o - 0.1. Round t to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 12 = 0, 33*n + 21 = 2*g + 34*n. What is the remainder when 372 is divided by g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 222 - 209. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8489737168 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2145 divided by 429.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4980800 by 275.\nAnswer: 18112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 7*a**3 + 6*a**2 - 6*a - 2. Let g(p) = p**3 + 10*p**2 + 8*p + 8. Let j be g(-9). Let t(v) = 20*v**3 + 17*v**2 - 17*v - 6. What is j*w(s) - 6*t(s)?\nAnswer: -s**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.527631 rounded to 3 decimal places?\nAnswer: -1.528","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90 + 87 + 62187*b**3 + 85 - 262.\nAnswer: 62187*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*j*w**5 + 169*j*w**4 + 2*j*w**3 - 11*j + 372*w**2 wrt w?\nAnswer: -120*j*w**2 + 4056*j*w + 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 67*p - 29*p - 173*p to h*p + o and give h.\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(165)\/(sqrt(60)\/sqrt(5)))\/(sqrt(15)\/(sqrt(54)\/sqrt(2))).\nAnswer: 3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -4*b. Let w(t) = t**2 + 24*t + 2. Let g be w(-24). Let i(o) = -3 - 37388*o**2 + 3 + 37347*o**g. Determine f(i(l)).\nAnswer: 164*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 15, 1049 = 4*o - 2*o + 5*a. Let t = o + -209. List the prime factors of t.\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 + v + 1. Determine l(-4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 4*s - 2327, 0 = 17*g + 5*s - 26071 - 13425. What is the greatest common divisor of g and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 6 = 10*t. Suppose t = 4*y + 20, -4*s = -4*y - 37 + 1. Let z be (-306995)\/(-5) + -3 + s. What is z rounded to the nearest 1000?\nAnswer: 61000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 3*a**3 - 7*a**2 - 59*a + 440. Let r be o(8). What is the highest common factor of r and 288?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -129*y + 9495703 - 649399. What is the ten thousands digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158 + 326 = 42*w + 3777 + 339 for w.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 0*v - 5 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 918765?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -259036, -258657, -258278, -257899, -257520, -257141?\nAnswer: -256762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 13*i = 108. Suppose -i*b + 44 = 2*b. Solve -v - n = -2*n + 2, 0 = b*v + 5*n - 19 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -367561\/161 - -2283. Are 2 and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-126)\/(-27)*90\/147?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*q**3 - 12*q**3 + 7*q**2 - 1 + 3 as p*q + h*q**2 + k*q**3 + t and give h.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 3707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilometer in centimeters?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 184170 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-582)\/(-485))\/((-2)\/110).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 227737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 80.\nAnswer: -1, 5, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (23\/(-46))\/(-3 + 5\/2)*1972 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, 3, -14 in decreasing order.\nAnswer: 5, 3, -2, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 10*n = -4*n + 13*n + 18, -40*n - 9 = -4*d - 39*n for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 214*s + 227*s + 32*s + 13244 for s.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 3*s + 3, -14 = -3*p - 4*s - 0*s. Calculate the remainder when 43 is divided by (3\/p)\/((-3)\/(-90)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/(-10)*98770\/(-4648)?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 76107772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2594.6 + 2595. Let v be 6\/(-20)*(-4)\/3. Let n = 31\/4 - 91\/12. Which is the nearest to v? (a) n (b) 0.3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 13\/8 of a kilometer?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 AM and 12:51 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 0*n + 8. Let s = 9 + n. Suppose -37 = -s*w - 12. Is 5 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -226 + 2*n - n**4 + 459 + 0*n - 233 + n**2 to the form f*n + y + p*n**3 + z*n**2 + q*n**4 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -4*r**5 + 3220*r**4 - 41376*r**3 + 152208*r**2 - 114048*r = 0.\nAnswer: 0, 1, 6, 792","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - 2*u**2 + 4*u - 10. Is h(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -22\/21? (a) 3\/7 (b) 4 (c) -1\/4 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 859593?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -241*m - 962. Let k be p(-4). Solve 4 = -v + y, k*v + 12 = -0*v + 4*y for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s**2 + s + 7. Let w(l) = l + 7. Let p(x) = d(x) - w(x). Let r(k) be the third derivative of 2*k**5\/15 + k**2. Give r(p(u)).\nAnswer: 32*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -195\/28 - -7549\/1092. Let s(q) = -q - 5. Let a be s(-6). Let r(n) = 2*n**3 - n. Let h be r(a). Which is bigger: h or u?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 28*a - 33*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -3*d**2 + d + 7. Let s(f) = -10*f**2 + 4*f + 20. Let l(w) = -7*i(w) + 2*s(w). What is l(0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j - 1. Let y(d) be the third derivative of -5*d**4\/12 - 3*d**3\/2 + 2*d**2. Let k(f) = 18*u(f) - 2*y(f). Calculate k(8).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 24*(-6)\/(-48)*28. Let v = -81 + o. Let m(j) = j**3 + 2*j - 2. Calculate m(v).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -40 + 42. Let o be ((-14)\/49)\/((-3)\/7). Let d = 0.03 - -0.37. Which is the closest to o? (a) 5 (b) i (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43 + -1. Let n be (21\/z)\/(2\/8). Suppose 438 = n*a + 3*g, -3*a + 2*g + 654 = 5*g. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -644 + 1551?\nAnswer: 604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2788665 or 13943323\/5?\nAnswer: 13943323\/5","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 + 4*p - 2. Let l be d(4). Suppose 4*h = -4*y - 88, 0 = 5*h - 5*y + 33 + 37. What is the units digit of (5 + -4)\/(l\/h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 169644 by 14.\nAnswer: 84822\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (194*r + 179*r - 356*r)*(-1 + 1 + 2*r**2)*(r - 2 + 2).\nAnswer: 34*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 340 = -2485*p + 2451*p for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2308110, 2308099, 2308088, 2308077, 2308066?\nAnswer: 2308055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/(-24) + (-438)\/252\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 1039*u**3 - 93*u**4 + 1 + 6*u**2 + 1038*u**3 + 2 as a*u**2 + g*u**4 + l*u**3 + c*u + q and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/5 + 2\/(-5). Let g(b) = -2*b**2 - 9*b + 3. Let m be g(7). Is m\/4*-1*l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 4 = 2*x. Let q be x*2*2\/(-4). Suppose t + 3 = 2*t. Solve 12 = t*k, 5*v + 37 = 6*k - q*k for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*d + 175 - 175)*(-3*d - d + 3*d)*(20*d + 28*d - 10*d).\nAnswer: 950*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 10592*t**2 - 4944*t**2 - 31582*t**2 as v + p*t + d*t**2 and give d.\nAnswer: -25934","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/7 + 292*s\/7 - 3930\/7.\nAnswer: -2*(s - 131)*(s - 15)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -25*a**3 - 131*a**2 - 28*a + 12. What is o(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.1199651 - 2.12. Round v to six decimal places.\nAnswer: -0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*f + 6*f. Let a be (17\/17)\/(2\/(-4)). Sort a, f, 5 in increasing order.\nAnswer: a, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200 = -37*t + 22 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1271, -1270, -1269, -1268, -1267?\n\"Answer: w - 1272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**3 - 57*u**2.\nAnswer: -3*u**2*(u + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -4*d + 43. Let w(f) = -13*f + 171. Let u(z) = -9*c(z) + 2*w(z). Let b be u(5). Solve 18 = -4*x + m - 2*m, -x = b*m - 5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 7*z - 6. Suppose -6 = z*t - 5*t. Suppose -6*m + 152 = -t*m. List the prime factors of m.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166167959 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 727213 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8112550149?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rufu when four letters picked without replacement from ejjfjjufruuejjjrjfu.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4116 + -258. Does 29 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2567 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 3*s - s + 0 + 0 + 10*s + (4*s - s - 4*s)*(-2 + 2 + 1) + 2*s + 0 + 0 + (4*s - s - s)*(3 - 2 - 4))*(4*s - 6*s + 0*s).\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-6)*(690\/(-644))\/((-30)\/(-63)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 271 to the power of 1\/2, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7\/2 of a millennium?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (21 - (28 + -31)) + -32?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o**3 - 2*o + 7*o - 2*o**3 + 5*o.\nAnswer: o**3 + 10*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/8 of a week?\nAnswer: 8820","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from hhhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -5 - (-1 - 0)) + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (37 - -5) + 34 + (7 - (-11 - -14)).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74364 is divided by 1152.\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 5*k + 180 - 96 = 0, -4*d - 3*k + 244 = 0. Calculate the remainder when 439 is divided by d.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*d - 73*d + 5*m = 501, 6*m - 3 = d + 2*m for d.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1728814.\nAnswer: 2, 864407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 62 and 12132?\nAnswer: 752184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 15. Let r(l) = -l**3 - 9*l**2 - 9*l - 8. Let d be r(z). Suppose 3*k = -d*k + 345. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(363) + -1 + 1)*2.\nAnswer: -44*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27 is divided by ((-20)\/(-8) + 0)\/(3\/12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -105302686*q - 56434377?\nAnswer: -105302686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -16*i + 14*i - 8 + 0 - 1. Let s be o(-6). Suppose 0 = -h + s*f + 22, 0*h = -h + 2*f + 26. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7566 and 291954.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12*11\/176)\/(-9)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + 334425?\nAnswer: 334420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73173.\nAnswer: 3, 24391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 164453 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 + 26*h - 219. Give i(15).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -27*v + 32. Suppose 4*h + 3*b = -v, 0 = -3*h + 2*h + 3*b - 4. Which is smaller: h or -1\/138?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 8*b + 24. Let g(x) = 3*x + 13. Let w be g(b). Suppose w*k = 3*k + o + 9, -3*k - o + 23 = 0. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/543998 and -20\/42679?\nAnswer: 36447866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33082 + 104291. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 37*s**3 - s**2 - 3*s - 6. Let a be h(3). Suppose -4*f + 5*n = -3*f - 343, 0 = -3*f - 3*n + a. What is the hundreds digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**3\/7 + 27*v**2\/7 - 72*v\/7 + 60\/7.\nAnswer: -3*(v - 5)*(v - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (62\/(-8))\/((-2)\/24)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4179?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*s + 20. Let b(p) = 7*p + 2. Calculate the remainder when b(3) is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1349216669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 70968441*d**3 + 14*d + 1333769 wrt d.\nAnswer: 425810646*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 165 divide 7942625?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppwwpwwppwwww. What is prob of picking 2 p?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 48823, 97638, 146455, 195274, 244095, 292918, 341743?\n\"Answer: c**2 + 48812*c + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1576 + 8.1.\nAnswer: 7.9424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-6*-2*sqrt(1300))\/((sqrt(484) + sqrt(484)*2 + sqrt(484) - sqrt(484) - sqrt(484))*-2 + sqrt(484)).\nAnswer: 120*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of 17*l**4\/24 + l**2. Let u(v) = 2*v + 1. Let h(t) = 3*t + 2. Let q(s) = -h(s) + 2*u(s). Calculate q(n(w)).\nAnswer: 17*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 39 - 41. Let z = 1.6 + o. What is the third biggest value in z, 4, 0.5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5600 and -3?\nAnswer: -16800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -0.27055.\nAnswer: -1.0822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 35124 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1345 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 29779243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1808 and 13786.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -23*j - 25. Let m = 302 - 303. Let u be n(m). Let l(q) = -12*q - 3. Determine l(u).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156595243 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l + 6. Let g(p) = 2*p + 7. Calculate -4*g(t) + 5*u(t).\nAnswer: -3*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -836, -854, -884, -926, -980, -1046?\nAnswer: -1124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (-25)\/(-5) + -5?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -6*12\/108*66\/(-4)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65) - (sqrt(65) + (sqrt(65) - 1*sqrt(65)))*5)\/sqrt(5))**2.\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 7 - 4 + 6 - 3 - 1 + 1 - 3 + 1 + (-1 + 0 + 0)*(-3 - 1 + 2) + 3 - 4 - 1)*(-7*h**4 + 8*h**4 - 16*h**4 - 2*h**2).\nAnswer: -150*h**4 - 20*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -4*v + 10*v - 7*v. Suppose s + 5 - 7 = -3*g, -s + 4 = 4*g. Let b(w) = w**g + 13*w**2 - w**2. Calculate b(x(k)).\nAnswer: 13*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 27948 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 12*t**2 + 2*t - 45. Let q(p) = -2*p. What is q(i(j))?\nAnswer: -24*j**2 - 4*j + 90","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -159*k + 2744. What is the remainder when 3566 is divided by x(17)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 5*t - 45, 1 = -4*q + 4*t - 3. What is the common denominator of (10\/50)\/(q\/(-235)) and 51\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12005 (base 7) in base 13?\nAnswer: -153b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 63592945 and 2421?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -7. Let j(b) = b**3 - 2*b**2 - 4*b - 1. Let c be j(t). Suppose 250 = 10*q + 200. Solve 5*z - c = 0, -n - 4*z + q = -2*z for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4984\/1424*(-40)\/(-14) - -12\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 2\/9, 1836, -0.2, -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.4168192ml?\nAnswer: 0.0004168192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(11) - ((sqrt(88)\/sqrt(8) - sqrt(11)) + 3)) - -2*(1*sqrt(891))**2.\nAnswer: sqrt(11) + 1774","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 3*a**3 + 7*a**2 - 5*a + 5. Suppose -3*s - 2*s = -50. Let z(w) = w**3 + 3*w**2 - 2*w + 2. Give s*z(j) - 4*x(j).\nAnswer: -2*j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 1 - 2 + (1 + 2 - 2)*(1 + 0 + 1) + 2 + 3 - 2)*(6*i**2 - 16*i**2 + i - 2*i**2) as n*i**2 + w*i + p and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 1. Let y = l + 23. What is the greatest common divisor of y and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - (-11 - -13 - 9\/1). Solve s*d + 99 = 3*i + 81, -5*i + 5*d + 20 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -t*y**3*z - t*y - 1040*t*z**2 + 3*y**3 + 763*y*z**2 wrt t?\nAnswer: -y**3*z - y - 1040*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -169 - 26?\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 33*y + 2. Let p(v) = -4*v + 46. Let s be p(11). Let i(l) = -2106 - s*l + 2106. What is r(i(x))?\nAnswer: -66*x + 2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2387448 and 48006?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 PM and 1:55 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 2. Suppose -5*z + 17 = 2. Suppose -3 = -c + z*v - 0, -3*c + 35 = 4*v. Calculate the remainder when c is divided by s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.3 (b) -6 (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -979*f = -2131 - 806, -3*m + 4*f - 66 = 0 for m.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (96\/(-21))\/(8 + 464\/(-56)). Suppose -24*g + 1792 = -r*g. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = -3*d + 23, 5*w - 7*w - 33 = -5*d for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 + 0. Let r = l - -49. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 2 + 10 = 0. Suppose 6*h = 4*h + 2. Let m be -4 + i - (3 - h). Sort -3, 0, m.\nAnswer: m, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = g - v, -5*v = -2*g - 10*v - 14. Let y = 7 + g. Let b = 9 - 4. Solve y + b = 3*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 3*d - 22, -3*d + 2*d + 2*i = 2. Let s be (2*-1)\/(2\/(-4)). Suppose -5*q + d = -s. Solve -q*y = -0*a - 3*a - 17, 0 = -2*a - 2*y - 8 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((1*sqrt(1152))**2 + 0) - (2 + (sqrt(1152) - (1 + sqrt(1152)))**2 - (sqrt(1152)*2 + 5))) + -3.\nAnswer: 48*sqrt(2) + 5759","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.07 in 0.2, -9\/7, 4, 64?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 34342855 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*p**2*y**4 + 14*p**2*y + 2*p*y**3 - p*y + 120*p - 55*y**3 wrt y?\nAnswer: 204*p**2*y**2 + 12*p*y - 330*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u**3 + 4*u**2 + u. Let h(s) = s**3 + 4*s**2 + 2*s. Let k(n) = 3*h(n) - 2*x(n). Let r = 6 - 2. Suppose -r*f = -m - m - 14, m = 3*f - 12. Give k(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of u**5\/60 + u**4\/4 - u**3\/6 - 9884*u**2. Suppose 2*y + 16 + 0 = 0. What is q(y)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -25479*q**2 + 48554?\nAnswer: -50958*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7900931 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - i + 4*w = 86, -83*i + 16 = -82*i - 5*w for i.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/13 in 0.1, 0.5, -13?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 - -14?\nAnswer: 1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -45 <= -31.864?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 53 - 36. Suppose 3*b = 2*w - t, 7*b = -3*w + 3*b. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = i + 9, 5*i + 4 = -2*s + 5. Let v be 7 - (-3 - (i - 7)). Solve 2*p = 3*p + v*z - 3, p + 6 = 5*z for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (2 - (-5 - -3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 1:45 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 92, 253, 480, 773, 1132?\nAnswer: 1557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2389, 2377, 2365, 2353, 2341?\nAnswer: 2329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*b + 105*b - 53*b - 88 = 0 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**0)**(6\/23)*s\/(s**2*s)*s*s**(-2\/7))**(11\/7) assuming s is positive.\nAnswer: s**(-99\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -51 - -51. Which is the smallest value? (a) -1\/2 (b) -3\/2 (c) g (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -0.3, 8, 4\/9, 1\/6, -0.05, -26\/5?\nAnswer: -26\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -14, 2?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5539 is divided by 691?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1685?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (81 + -80)\/(2\/(-8)). Sort 18, -10, -3, z in decreasing order.\nAnswer: 18, -3, z, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3892 divided by 14.\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 5, 2*t + 4*f - 46236 = 10844. What is the ten thousands digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 + 31*k + 2492. What is the least common multiple of u(47) and 24?\nAnswer: 3480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6777*c**4 + c**3 - 2*c - 12309.\nAnswer: -81324*c**2 + 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(136)\/(sqrt(8)*6).\nAnswer: 2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 + 30\/(-12))*58. Find the third derivative of -j*k**5 + 14*k**5 + 13*k**2 - 21*k**2 - 2*k wrt k.\nAnswer: -4380*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -x + 63299, v = -3*v + x - 253199. Round v to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2780 (b) 0.08 (c) 5 (d) 0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/57 or -151?\nAnswer: -151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7 + -3*(4 + -1). Let m(p) = 5*p + 4. Give m(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aawuawuuauaaauaaau. What is prob of picking 2 w, 1 u, and 1 a?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(-4)\/20*25\/(-110).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/5070141645?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/((-4)\/(-5)*(675\/(-66) - -10)). Solve s + 5 = 3*v + z, s + 3*v + 18 = 0 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/5 of a century?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 times -6553028?\nAnswer: 170378728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -4665.7, -4, -40\/11 in descending order.\nAnswer: -40\/11, -4, -4665.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -7*r - 307. What is l(-48)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10330 - 41321\/4. Let g = -1 - -1. Sort 2, q, g.\nAnswer: q, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -8*l**3 + 220*l**2 + 127*l - 411. Give p(28).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + 1284 + -3 - (-4 - -1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1768, 0, -28, -3.\nAnswer: -28, -3, 0, 1768","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u + 691 = 11*u - t, 2*t = 5*u - 866. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of -f**9\/252 - 3*f**5\/20 + 14*f**2. What is the third derivative of h(x) wrt x?\nAnswer: -240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gggz when four letters picked without replacement from {z: 2, o: 4, g: 8}?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-3) - (-173)\/3. Let d be (2920\/(-2))\/(11452\/j). Let c = 14\/409 - d. Find the common denominator of c and -61\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16775 (base 8) to base 6.\nAnswer: 55313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 2*m = 25, 4*m + 10 = 21*t - 23*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ab96 (base 14) in base 2?\nAnswer: 111010000100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 100110011000000001 (base 2) in base 10?\nAnswer: 157185","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m**2 + 27*m + 111. Let d be u(-10). Suppose -4 = n, -b = n - d - 1. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-171*g - 29*g**3 + 171*g)*(-2 + 2 - g**2 + (-2*g - 3*g + 8*g)*(0*g - 2*g + g)) + (-4*g**5 + 4*g**5 - g**5)*(-7 + 3 + 3).\nAnswer: 117*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 12, 3\/2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5024 - 5023. Put 13, -1\/5, 4, m in decreasing order.\nAnswer: 13, 4, m, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**18*k**(-2\/15))**(-27))**45 assuming k is positive.\nAnswer: k**(-21708)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of 0*m**6 + 5\/3*m**3 + 0*m**5 - 4*m + 11\/42*m**7 + 0 + 0*m**4 + 0*m**2. Find the second derivative of q(s) wrt s.\nAnswer: 220*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7.084163, 0.5, 4 in descending order.\nAnswer: 7.084163, 4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zlzz when four letters picked without replacement from lzzzzzzzzzzzlzzlzzlz?\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*p = 69*p + 4. Let z = 2266 + -2262. Solve -4*k = 5*r - 41, 2*k + p*k = z*r - 4 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 222 and 222 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 214 is divided by 96.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/(-3)*(-29925)\/7980\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 + -23. Let b(w) be the first derivative of -w + 89. Let r(x) = 4*x**3 - 4. What is d*r(y) + 4*b(y)?\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 811 - 6309 = -125*i, j = -3*i + 176 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 393 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eofeevooeeeevvf. Give prob of picking 1 e and 1 v.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 146046578 and 188?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -5*y + 30. Calculate the least common multiple of (51\/y - 2)*2 and 6.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -141452 - 1088548. What is q rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -1. Suppose 0 = 2*w + n - 40, 0*n = -5*n + 20. Suppose -43 = -3*c + 2*k, -d*c = k - w - 13. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(243))**2 + 2)*4.\nAnswer: 980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 - 6*y - 5. Let p be b(10). Suppose 2*c + 3*c + p = 0. Let w = c + 33. List the prime factors of w.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 644*i - 1068 = 1000*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 253422313 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 365 is divided by 332?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1001111021 + -11001?\nAnswer: -1001122022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*j + 320*j - 216*j + 329*j.\nAnswer: 438*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(77)*1 - sqrt(77)) + sqrt(77)) + (sqrt(77) - (sqrt(77) + sqrt(77)*2)*3) + sqrt(77))\/(-6*(sqrt(343) - sqrt(343)*-2)) + -5.\nAnswer: -5 + sqrt(11)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/60*(-735)\/(-686)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 195\/9 + 2\/6 - 4. Let t be k\/8*(-12)\/(-9). Solve -x + t*f = -15, 0 = -4*x + 3*f + 16 - 1 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1586 or -1751?\nAnswer: -1751","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = 5*v + 196 - 205, -4 = -4*v for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -5 + -1 - (1 + -4 - 2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*b + 4953 = -415*b for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 11*g + 87. Let h be c(21). Solve 48*w + 12*w**3 - h*w**2 + w**4 - 10*w**4 + 402*w**2 = 0.\nAnswer: -2, -2\/3, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 + 16 - 39)*(-2 + 3 + 1)*(25*t + 22*t - 51*t).\nAnswer: 80*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -698, -1330, -1902, -2408, -2842?\n\"Answer: y**3 + 24*y**2 - 711*y - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -1128*k - 242. What is the hundreds digit of i(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 + v. Let z(k) = -4*k**3 - k**2 - 2. Determine 2*y(d) - z(d).\nAnswer: 6*d**3 + d**2 + 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.07, 0.5, -3?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*k**3 + 9444*k**2 + 4*k + 16609?\nAnswer: -18*k + 18888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 50876*f**3*q**2 + 2*f**2*q - f**2 - 2*f*q**2 + 9760*q**2 wrt f.\nAnswer: 305256*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6861809\/979 - 7009. Let u = p - -83219\/1958. Let f = -2\/103069 + 11646837\/2061380. What is the common denominator of u and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j - 5*a - 12 = -3*j, 4*j - 2*a = 16. Suppose 219 = -2*u + 5*u. Let i be 1 + u\/25 + -1 + -3. What is the second biggest value in -3, j, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from thlhttthtttttlltttht. Give prob of sequence hh.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.3076 rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in six fifths of a hour?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.6265, -2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 226754?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20 is divided by -3 + 13 - (-1 - -4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -5039.\nAnswer: -2\/5039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (308\/(-147) - -2) + (-1696)\/(-168)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-10270)\/(-25) - (24\/(-10))\/2 is divided by 268.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45714426.\nAnswer: 2, 3, 41, 185831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -441.2 to the nearest ten.\nAnswer: -440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -189*d + 186. Let k be p(1). Let n(m) = 4*m**3 - 2*m + 8. Let s(c) = 5*c**3 - 2*c + 8. Give k*s(i) + 4*n(i).\nAnswer: i**3 - 2*i + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-879)\/(-4) + (-12)\/(-48). Let q = r + -136. Is 50 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-13)*(18\/(-3))\/3\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1538410*x**5 + 514021*x + 1.\nAnswer: 30768200*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -10*v - 14. Suppose 0 = -4*z + 7*z + 12. Let x be h(z). Suppose -t = 5*f - 32, -x = -3*f - t - 3*t. Is 3 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 4*c. Let l be f(-4). Let z(v) = -v**2 + 3*v + 53. Let g be z(10). Is g at most as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7469.04 to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -145 - -145. Let h = 10 + -5. Put u, 18, h in ascending order.\nAnswer: u, h, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**2 - l + l)*(-3*l + l**2 + 3*l) - 3*l**4 - 3*l**2 - 12 + 12.\nAnswer: -2*l**4 - 3*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-20)\/(-30) - (-8)\/(-18). Let n = 1.9 - 2. Put 0.5, n, c in decreasing order.\nAnswer: 0.5, c, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 377 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*x**3 + 10*x**3 - 30*x**3 + 11*x**3.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -83, -170, -257, -344, -431?\n\"Answer: -87*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 165 and 375.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 39162186 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12290, -24590, -36890, -49190, -61490?\nAnswer: -73790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 333?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*w = -2*w + 456. Which is bigger: w or -37?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12797 + 23560. List the prime factors of i.\nAnswer: 47, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1005875 to the power of 1\/2, to the nearest integer?\nAnswer: 1003","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-22))\/((-2)\/(-4)). Let w = 187 + -184. What is the third smallest value in r, w, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 PM and 12:38 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 35*c - 34*c. Let n = c - -108. List the prime factors of n.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 3*t - 3. Let v(s) = 786*s**2. What is g(v(q))?\nAnswer: 2358*q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 897 is divided by 24.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a**2 - 4*a**2 - 52*a + 111*a - 59*a.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -15, -1002, 0, -2, -5 in increasing order.\nAnswer: -1002, -15, -5, -2, 0, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-364)*3112\/778?\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-558)\/6045*100\/90.\nAnswer: -4\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.49022ng in grams?\nAnswer: 0.00000000249022","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24 - 19) + (-18)\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - 6*v**2 - 9*v - 5. Let s be w(-5). Let p be ((-68)\/(-20))\/(1\/s). What is the highest common divisor of 34 and p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - 2)*(-42)\/(-8)*-32. Suppose -5*r = -w - 127. What are the prime factors of r?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 1 + 1)*(2 + 125 + 1)*(0*p - 5*p + 4*p).\nAnswer: -1024*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1))**(39\/5)\/((i**2\/i*i)\/(i\/(i*i**(2\/7)*i))) assuming i is positive.\nAnswer: i**(-388\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 23579 and 190.\nAnswer: 235790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/182)\/(45\/60)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7)\/((-126)\/(-24)) - 190\/(-165). What is the nearest to -94 in -2\/17, r, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -2\/3, -0.8, 2\/223 in decreasing order.\nAnswer: 2\/223, -0.3, -2\/3, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4202441 (base 5) in base 3?\nAnswer: 10111211001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.01 + -5.89. Let v = w - -6. Which is the smallest value? (a) -0.1 (b) v (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 AM and 7:04 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 365\/68 - -81\/34. Find the common denominator of -143\/12 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 8*y**3 - 5*y**2 + 61*y - 174. Let d be c(3). Let z = -205 - -520. What is the highest common divisor of z and d?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t**2 - 8 + 23 - 9 - 5*t. Determine k(4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 10*w + 150 = 0. Factor -w*m**3 + 0 - 12*m + 0 - 48*m**2 + 21*m**4.\nAnswer: 3*m*(m - 2)*(m + 1)*(7*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*h**6 + 9313*h**4 + 5370481*h**2?\nAnswer: -1920*h**3 + 223512*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01859 rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 352177 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**35*k*k*k*k**8*k**(5\/7)\/(k*k**(1\/44)))**(-24) assuming k is positive.\nAnswer: k**(-84438\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do -2 and -17 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 11082, 44307, 99654, 177099, 276618?\n\"Answer: -4*k**3 + 11085*k**2 - 2*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kd when two letters picked without replacement from {k: 1, s: 1, d: 1, n: 2, i: 1, p: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 = -5*w - 26 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -206? (a) -0.4 (b) -0.5 (c) 0.8 (d) -0.01 (e) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1089, 2264, 3439, 4614?\n\"Answer: 1175*a - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(3\/(-102)*3)\/(240\/480)?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 245 and 325162565.\nAnswer: 2276137955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 1) + (-14 - -5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of -o**3\/3 + o**2 - 2*o. Let c be g(-2). Let r be (c\/5)\/((-2)\/(-5)). Solve -2*q - 2 = 4, -i = -r*q - 9 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - -38. Suppose -q - 55 - i = -5*o, -105 = -5*o - 5*q. What is the smallest common multiple of o and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r\/(r\/(r\/(r\/(r**5*r)))))\/(r\/r**(-2\/3)))\/(r**2*r)**(6\/25))\/(r\/(r\/r**(-10))*r*r**(2\/19))**(-1\/24) assuming r is positive.\nAnswer: r**(48367\/11400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2530234?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2847722 - -2847724.000001. Let h = -0.02 - 1.98. Let s = h + x. Round s to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a gram in milligrams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16017, 16320, 16621, 16920, 17217?\nAnswer: 17512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*n*z**4 + n*z**2 + 1146*n - 63*z**4 + 5*z**3 wrt z?\nAnswer: -240*n*z - 1512*z + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.519 + -0.019. Which is the closest to 0.1? (a) 1.1 (b) j (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*g**2 - 15*g**2 + 304*g**2 + g + 151*g**2.\nAnswer: 469*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*z**3 + 1289166*z - 1289166*z.\nAnswer: 41*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1120222 + -5?\nAnswer: 1120215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v = 6*v - 3*n - 37, -3*v - 4*n = 96. Let g be ((-2)\/(-60))\/(8 - (-231)\/v). Which is the nearest to -1? (a) -2 (b) g (c) 0.18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 2 f, and 1 o when four letters picked without replacement from ojzzffzfzf?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -0.4, 2\/37, -0.2, -1\/9, 419?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -6. What is the lowest common multiple of x and 14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 161.413109 to the nearest 10.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -8230*g + 115217. Calculate p(14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22 is divided by (-3)\/6*2*-10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16792 + -10232. Round o to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2494\/258 - 40\/2)*-9?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from suissusus. Give prob of picking 3 u and 1 s.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 8*o + 1. Suppose -181*v + 179*v + 462 = 0. Let s = v + -233. Determine p(s).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/73, -0.0165441, 4?\nAnswer: 1\/73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 191087111.\nAnswer: 191087111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + -215726?\nAnswer: -215723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 32? (a) 0 (b) 5 (c) 4\/5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3911 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2220 and 4276410.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 i when two letters picked without replacement from {c: 3, u: 1, l: 3, i: 3, o: 1, w: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59220?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3047750 or -3047748?\nAnswer: -3047748","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (90\/325)\/((-3)\/(-10)). Is k at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -0.67 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12348 = 247*k + 341*k. Solve 87*h - 396 = k*h for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 5 - 15, -4*o - 4*z + 44 = 0. Let x(s) = -s**2 - 14*s + 125. Let r be x(o). Solve -3*m + 8 = r, j + 5*m - 4 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2114\/5 + 423. Factor 2\/5 - w*l**2 - 1\/5*l.\nAnswer: -(l - 1)*(l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qcvbfbtqvvvvtvvvvbv. What is prob of sequence tc?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 13721, 27295, 40873, 54455?\n\"Answer: 2*s**2 + 13568*s + 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5512617 tonnes to kilograms.\nAnswer: 551.2617","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 9*s - 2. Let g be 13 + (-11 + 7)*2. Let u(f) = -91 + 49 + 2*f - g*f - 5*f + 44. Calculate -3*q(c) - 4*u(c).\nAnswer: 5*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -1. Let o = -0.36 - -0.06. Let b = 0.1 + o. What is the second biggest value in t, -0.3, b?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-18)\/(-225) - (-295119)\/75 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50115 (base 6) to base 11\nAnswer: -49a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*z**3\/3 + 465032*z**2\/3 + 232519*z\/3 + 29065\/3 = 0 for z.\nAnswer: -1\/4, 29065","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-15)*5)\/1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 2 + 4)*(-2 + 1 + 3) - 11 - 7 + 7)*(v - 7*v + 4*v).\nAnswer: 18*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2315*t**3*v - t**3 - t*v - 272*t - v wrt v.\nAnswer: 2315*t**3 - t - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-52 - 3304\/(-63))*(-14)\/(-4)?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13122 by 6.\nAnswer: -2187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 563?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 696 - 482. Is s a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16322 is divided by 308?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b**2*b))*b**(-1\/8)*b**(3\/2)\/b**(-3\/4))\/(b\/(b**5*b)*b*b**(1\/5)*b**(-1\/12)\/b**7) assuming b is positive.\nAnswer: b**(1921\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 106 - 150. Is x at most as big as -44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/(r**(2\/25)\/r))*r)\/(r*r**(3\/8))*r**(-2\/13)*r**(1\/4)*r)**(13\/4) assuming r is positive.\nAnswer: r**(-517\/800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -321, -320, -319, -318?\n\"Answer: a - 322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/135*12060\/(-10720).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 5*y + 5. Let q = y - -8\/9. Sort -3, q, 0.4 in increasing order.\nAnswer: -3, q, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -3231*s - 171254. Determine o(-53).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u**3 - 4*u**2 + 7*u. Let i(s) = -6*s**3 + 11*s**2 - 20*s. Calculate 6*i(w) + 17*n(w).\nAnswer: -2*w**3 - 2*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -1 + 3 + -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v - 1. Let w(m) = -19*m + 8. Let x(c) = 3*b(c) + w(c). Let q(f) = 16*f - 6. Determine 5*q(k) + 6*x(k).\nAnswer: -16*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41246?\nAnswer: 2, 41, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -135a4 (base 13) to base 15\nAnswer: -aa8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyyryrryyyyy. What is prob of sequence rryy?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -5*r**3\/2 + 24900*r**2 - 50728315*r\/2 - 25389060 = 0?\nAnswer: -1, 1153, 8808","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -7*f**2 - 5*f - 8. Determine n(-2).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w**2 - 86*w**3 - 6*w**2 + 11*w**2 - 19*w + 88*w**3 - 7*w to g*w**3 + n + z*w**2 + t*w and give t.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/7)\/t*t)\/t)\/(t**8*t)*(t\/t**2)**(-7\/11) assuming t is positive.\nAnswer: t**(-699\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -43 - -48. Solve -2*p - i*x - 3 = -13, -5*p + 4 = 2*x for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/10)\/(2\/12) + 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (50\/15)\/(4\/12). Suppose -5*c = -w*c. Solve -5*m + 3*p = 22, c = -3*m - 5*p - 0*p - 20 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 214 = 15*n - 731. Suppose -105 - n = -6*k. Calculate the remainder when 79 is divided by k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/(-14)*(-2)\/(-1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j - 163847201 + 163847201.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46623710?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (75 + 20*s - 84*s - 75)*(0 - 2 + 11 + (0 - 1 + 3)*(1 + 1 - 1))*(-5 + 3 + 0) in the form z*s + a and give z.\nAnswer: 1408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 38, 57, 78?\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8119, -31866, -71421, -126784, -197955?\nAnswer: -284934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-6 - -18 - 15) + (-23 - 1).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -74 - -77. Solve d*p - 4 = -1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 361\/8040 + -4\/201. Find the common denominator of -149\/72 and o.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-137)\/274*8\/5.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3d3 (base 14) to base 15\nAnswer: -368","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, -206518 in descending order.\nAnswer: -1, -2, -206518","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.032 + 0.132. Let x be (-32194)\/(-46) - (3 - 0). Let u = x - 697. What is the nearest to u in -1\/2, y, 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1754, -6747, -14966, -26411, -41082?\n\"Answer: -1613*l**2 - 154*l + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*v**3 - 7*v**2 - 7*v**3 + 33*v**2.\nAnswer: -2*v**3 + 26*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.44 - 0.\nAnswer: 1.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -836990 rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 80629, -2720.\nAnswer: -2720, -2, 80629","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15.2 + 7.8. Is p > 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 + -10. What is the remainder when 50 is divided by 2\/t + (-150)\/(-9)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (1 - -90)\/(-71 - -72) is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.2, 1, 1\/2, -2\/9, -249.99?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.5, -8, 0.1 in descending order.\nAnswer: 3, 0.5, 0.1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of p**4\/24 + 5*p**2\/2 - 4. Let l(m) be the second derivative of u(m). Let x(g) = -4*g**2. Give l(x(q)).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 89 + -89.01. Which is the third smallest value? (a) t (b) -2\/3 (c) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 51641768 and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*b - 4*b + b)*(173 + 110 + 184)*(-11*b + 60*b**3 + 11*b) in the form z*b**2 + s*b + t*b**3 + a*b**4 + o and give a.\nAnswer: 56040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*g**2 - 77*g**2 - 81*g**2 - 86*g**2 + 454*g**2 - 129*g**2.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/1 + -2)\/1. Let h = l - -5. Suppose 5 - 13 = -0*w + 8*w. Sort w, 0.05, h in increasing order.\nAnswer: w, 0.05, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 u when three letters picked without replacement from {u: 1, g: 17}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 15353268179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 6*r - 3 = 0. Let b(o) = -3*o**3 + o + 1. Let g be b(r). Solve -p + 3 = -3*p - g*j, 1 = 5*p - j for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7181231?\nAnswer: 7181231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 0*h + 2*h**2)*(-21*h - 12*h + 31*h + 2 - 6*h**2).\nAnswer: -12*h**4 - 4*h**3 + 4*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/15*-3 + 110\/350?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 103 + -88. Calculate the remainder when 86 is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6494, -6403, -6160, -5693, -4930, -3799?\nAnswer: -2228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y**2 - 2*y - 4. Let j be h(4). Let g = -14 + j. Suppose -2*n + g*n + 114 = 5*x, -2*n + 42 = 2*x. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 115326798?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k - 5*b = -3*k - 11666, -b = 4*k - 11690. Does 17 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(5 + ((sqrt(153)*-3*5)\/(sqrt(1089)*3 + sqrt(1089)))**2).\nAnswer: -40515\/968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*k + 41. Suppose 3*s + 3*z - 3 = 0, -2*z = 3*s - 3*z - k. What is the second derivative of -4*t**4 + 3*t**3 - s*t**3 - t - t**3 wrt t?\nAnswer: -48*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, x: 1, t: 2, z: 4, o: 2}. What is prob of picking 2 z, 1 x, and 1 t?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (17 + -2 + -13)*1123?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.045 + 26.955. Let d = u + -27.41. Let t = 0.41052 + d. Round t to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lqllquqlplqpqlp. Give prob of picking 2 q, 1 u, and 1 l.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 84947 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 4*n = n + 2*x - 18, 36 = 4*x. Find l such that 0*l - 6\/11*l**4 + 24\/11*l**3 - 24\/11*l**2 + n = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 + 14. What is the third biggest value in -1\/273, 1\/3, f, 1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 3:49 AM?\nAnswer: 3:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 45*d**2 + 9*d - 8. Let s be k(1). Suppose -422 = 6*q + s. Is 4 a factor of 6\/4*q\/18*-6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3*s - 34. Suppose -l - 39*l = 6*l + 414. What is u(l)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + a = -157, -26 + 124 = 2*p - 2*a. Let c = p + 289. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.581 + -2.581. Suppose -5*l = -4*u + 7, -6*l + l = 15. Let p be u + (-2 - 28\/(-6)). Which is the closest to -0.2? (a) 1\/2 (b) v (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2204133 is divided by 3016.\nAnswer: 2453","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 574\/(-210) + 21\/9. Let d = -23 - -17. Is a != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/98 and -65\/812?\nAnswer: 5684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/75746 and 29\/53210.\nAnswer: 6438410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/(-6 - -3) - -3. Suppose -2*q = -3*q. Suppose q = -f - 0*f + o. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 29 - 10*h**3 + 2*h + 3*h**2 - 9*h**3 + 18*h**3. List the prime factors of g(0).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + f + 72, -f - 139 + 49 = -5*u. Let p be u\/12 - 4119994\/(-4). What is p rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -778 + 747. Let s(k) = k**2 + 39*k + 290. What is the remainder when 108 is divided by s(a)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5881 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 = -906*x - 239*x - 49235 for x.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 60*d**2 - 24*d + 7. Let n(a) = 17*a**2 - 7*a + 2. Let s(w) = 4*b(w) - 14*n(w). Let y(f) = 1 + 2*f**2 - 1. What is s(y(v))?\nAnswer: 8*v**4 + 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -518*w - 1 = -519*w + 2*v - 9, -2*w + 8*v = 24 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*-37*5217\/4107.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + t - 5 = 0, 2*a + 4 = -2*a + 4*t for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9956.076 nanometers to meters.\nAnswer: 0.000009956076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -109 times -0.0472?\nAnswer: 5.1448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 6, z: 4, r: 1}. What is prob of picking 1 z and 1 j?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 12)*(260 - 3780*p - 260 - 653*p)*(4 + 0 - 3).\nAnswer: -44330*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -10, 1\/2, 1\/8?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - l - 17 = 0, -6*j + 0*j = 84*l - 85*l - 27 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(1700)*-5*3)**2 - 6*(sqrt(1700) - -1*sqrt(1700)))*3*3.\nAnswer: -1080*sqrt(17) + 3442500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do -937 and -937 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 54*q + 16*q - 2*q**2 - 12*q**3 + 77 - 71*q to p + r*q + t*q**2 + h*q**3 and give p.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x**2 - 574*x + 5044. What is i(9)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19504?\nAnswer: 2, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n + 48*a - 47*a - 13, -2*n - 3*a + 4 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 432*c**3 + 7779*c**2 + 35046*c + 243.\nAnswer: 3*(c + 9)**2*(144*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -125 - 61. Let a = h - -275. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-320)\/280)\/((-6)\/(-7) - 1). Solve i*l = 5*l - 2*b - 4, 2*b - 20 = 3*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + 201110?\nAnswer: 201110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 4*u + 129999980, -5*u + 29 - 4 = 0. Round o to the nearest 1000000.\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - 2 - (-7)\/9. Let n be (-7)\/(-35) + (-13)\/15. Let r = 7776\/5 - 1555. Which is the nearest to s? (a) -4 (b) n (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.05996 + 0.0599603397. What is p rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*j + 19*j - 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 7923*r - 19*r**2 + 15845*r - 7922*r.\nAnswer: -19*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2434896542 to the power of 1\/3, to the nearest integer?\nAnswer: 1345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -144*r**2 + 3. Let o(z) = -83912*z**2. Determine m(o(x)).\nAnswer: -1013936219136*x**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4257 and 217119771.\nAnswer: 4257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 475?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkp. What is prob of picking 1 k and 1 p?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -b - 6, 3*c = 6*c - 2*b + 8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 43 + -91. Is 2\/14 - g\/7 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*p + 1 - 5*p + p)*(0 - 4 + 2)*(1 + 0 + 3)*(1084*p - 2221*p + 2 + 1066*p) to the form w + x*p**2 + h*p and give w.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1445 a factor of 8019830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -173 + 170. Let o(v) = v + 5. Let a be o(-3). Let g(c) = c - 1 + 5 - 3 - a*c. Calculate g(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of -56*b**7\/5 + 31*b**5\/30 - 5*b**3\/6 - 2*b**2 - 309. What is the third derivative of u(q) wrt q?\nAnswer: -56448*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_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: Let x(n) be the second derivative of 13*n**5\/20 - n**4\/4 - 47*n**3 - 2*n + 86. Find the second derivative of x(r) wrt r.\nAnswer: 78*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -378265 = -5*y - 5*b, -3*y + 29*b - 34*b + 226955 = 0. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 (base 13) in base 9?\nAnswer: -116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.079 + 0.379. What is the closest to 4 in -0.5, j, 8\/5, 0?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - t = -3, -4*d = 4*t + 62 - 50. What is the fourth smallest value in d, -3, 4, 2\/19?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -142, -116, -84, -46, -2, 48?\n\"Answer: 3*q**2 + 17*q - 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4, -10, -20, -34?\n\"Answer: -2*b**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c - 4*c. Let j = -8 - -19. Let a = j - 12. Sort a, 1, c in descending order.\nAnswer: 1, c, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24540 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 2:37 AM?\nAnswer: 11:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*o + 9, -2*g + 3*g - 10 = -2*o for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 21\/24) + (-4)\/8. What is the nearest to r in -0.2, -5, 2\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 136\/(-51)*(-456)\/3040.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-15))\/(6\/90*-5)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17995, 30754, 43513, 56272, 69031?\nAnswer: 81790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 12, r: 1, h: 3}. Give prob of sequence hssh.\nAnswer: 33\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 - 43. Let h be (-1)\/(-2*(-3)\/r). Solve h*t - v + 22 = -t, -5*v + 5 = t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(128) + 2 - ((sqrt(128) - (-1 + -2*sqrt(128))) + sqrt(128)) - (-3 + 2*sqrt(128)*-5)**2.\nAnswer: -12808 - 504*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 328930543 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -3*o**2 + 67*o - 150. Let k be l(20). Let c(m) = 2*m**2 + 16*m - 9. What is c(k)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.22 and 14046772556?\nAnswer: 14046772556.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**4\/7 + 3*v**3 + 3*v**2\/7 - 3*v.\nAnswer: -3*v*(v - 7)*(v - 1)*(v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -92874.12 rounded to the nearest 10?\nAnswer: -92870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19.4 - 3.4. Which is the biggest value? (a) -2\/9 (b) y (c) -1\/18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 2.6, -1.179 in descending order.\nAnswer: 2.6, 0.1, -1.179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 156888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -88.58 from -5.\nAnswer: 83.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21022110 (base 3) to base 9.\nAnswer: 7273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -37*z**2. Let n(a) be the second derivative of 2*a**3\/3 + 10*a**2 + 4*a - 704. Determine s(n(f)).\nAnswer: -592*f**2 - 5920*f - 14800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1\/33 - -56\/33. Let l = 3 - 3. Sort l, y, -5 in decreasing order.\nAnswer: y, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468) + (5*(sqrt(468) - (-2 + sqrt(468))) - sqrt(468)))**2*-4*-2 - ((sqrt(468)*-1 + 5 - sqrt(468) - sqrt(468))**2*5 + -5)) + 3.\nAnswer: -20377 + 900*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1601560 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 511 - 99?\nAnswer: 456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + -3 + 2 + (5 - 7).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*(-4)\/(-25028)*(-2)\/21. Let j = 3022351\/4817890 - z. Calculate the common denominator of j and 109\/6.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1108996 to the power of 1\/2, to the nearest integer?\nAnswer: 1053","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k**2 - 659*k + 53075. Determine m(67).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k + 5. Suppose 0 = -2*x + x + 6. Let t be d(x). Suppose r + 17 = -0*r + 5*y, 2*y = 3*r - 1. Solve j + 3 = 3*g + 4*j, r*g + t = 4*j for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 2 = -4*s, -2*s = -2*t + 2. Calculate the least common multiple of t and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.314 to 0 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 44017822*d**4 - 41922014 wrt d?\nAnswer: 176071288*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3478.056 tonnes in grams?\nAnswer: 3478056000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (567*o + 36218 - 36218)*(1 + 3 - 2)*(-3 - 2 + 3)*(-4 + 1 - 7) to r*o + z and give r.\nAnswer: 22680","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -15*y**3 + 6*y**2 + 4536*y - 9088. Give r(2).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 4*f. Let k(z) = -2*z**2 - 15*z - 1084677. Give k(q(i)).\nAnswer: -32*i**2 - 60*i - 1084677","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -356 in 0.3, -5, -24, 0, -2\/5?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**2 - 6184*l + 2390116.\nAnswer: 4*(l - 773)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uvcegcecqeuqueg. What is prob of sequence cq?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74923 is divided by 431.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/10 + 1027\/(-395)*(-4)\/(-8).\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2.94 * -0.053528\nAnswer: 0.15737232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of -d**6\/960 - d**5\/20 - 21*d**4\/64 + 24*d**2 - d - 24. Factor c(g).\nAnswer: -g*(g + 3)*(g + 21)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3340 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - c. Let v(p) = -10*p**3 + 9*p + 17. Calculate -2*v(n) - 18*y(n).\nAnswer: 2*n**3 - 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 6 = -0*v - 2*v, 23 = 5*x - 3*v for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 84847921?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - 4*p**2 + 3*p + 3. Let q be m(3). Suppose 0 = 3*f - q*x - 15, 5*f + x = 5*x + 24. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 - 3*q - 18. Let s(b) = -3*b**2 + 6*b + 37. Let y(z) = -3*s(z) - 7*v(z). Let x be y(0). Solve -x = 5*m - 5, -5*r = -2*m - 24 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 3*v + 0*v - 2*v. Let u(s) = -1. Let k(n) = -p(n) - u(n). Let y be k(0). Solve 4*j = 3*l - y, -l + 0 = 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 - 2. What is the greatest common factor of l and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14997.06l to millilitres.\nAnswer: 14997060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 3:09 AM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h - 14. What is o(6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 3*b**2 - 102*b - 44. Is c(56) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-3))\/((-12)\/(-1098)). Is (x - 4\/(-2))\/(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -829 + 834. Suppose -1 - s = 3*f, 4*f = 5*k + 196992. What is k rounded to the nearest one thousand?\nAnswer: -39000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 10, 29, 58?\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -2 (b) 1\/2 (c) -148 (d) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -3464.\nAnswer: 3\/3464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 7*u**2 + 5*u + 12. Let q be c(-9). Is (2\/3)\/(4\/q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000 + 100?\nAnswer: -10100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.018, -1\/12 in decreasing order.\nAnswer: -0.018, -1\/12, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -5440\nAnswer: -1\/1088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of 796*j**4 - 5*j**3\/3 - 3*j**2\/2 + 4*j + 1. Let m(k) = 3*k. Let o be m(-1). Let w be a(o). Round w to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 PM and 1:23 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7813052 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 44*w**3 - 52*w**3 + 36*w**3 - 33 wrt w.\nAnswer: 84*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1)*q)**(-1\/3)*(q\/q**0)\/q*q**(2\/9) assuming q is positive.\nAnswer: q**(2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 149*a**2 - 491*a + 132 = 0. What is a?\nAnswer: 44\/149, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of 1447*p**7\/105 - p**6\/120 + 3611*p**5\/60 - 141*p**2 - 2*p - 2. What is the third derivative of u(x) wrt x?\nAnswer: 69456*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t**3 + 1. Let z(v) = -523*v**4 - 7*v**3 - 192*v**2 - 2*v + 4. Let g(r) = -4*s(r) + z(r). What is the third derivative of g(n) wrt n?\nAnswer: -12552*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 + 9*p + 36. Give v(-7).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - 2*q - 4*q)*(-1420*q**2 + 1159*q**2 + 877*q**2).\nAnswer: -1848*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 0 + 3 + 0 + -2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 - 4*i**2 - 5*i + 2. Let j be m(5). Suppose t - 5 = 0, -3*t + 6*t + 25 = j*r. Calculate the greatest common divisor of r and 220.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -4 + 20 + -21 + 3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.193748327 + 579.4\nAnswer: 579.593748327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 1.5. Let j = -0.1 - r. Let t = 0.1 + j. Which is the closest to 0.1? (a) 4 (b) 3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32054174 less than 0.236?\nAnswer: 32054174.236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 16*d. Suppose -4*u = n - 8, -2*n - 3*n - 5*u = 5. Let b(h) = -4*h. Let z(p) = -p**2 - 3*p. Let i(r) = n*z(r) + 3*b(r). What is i(y(c))?\nAnswer: 1024*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1009160802 to the nearest integer?\nAnswer: 31767","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 288833 is divided by 2912?\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-nine halves of a micrometer?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/178203100 and -7\/39204682.\nAnswer: 1960234100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17045\/1038 or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - 2*k - 3. Let o be x(-2). Let j = -57 + 53. Which is the nearest to 1? (a) j (b) o (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40 + -27. Suppose 4*u + 1 = -5*a + n, 5*u - 20 = -5*a. What is the highest common divisor of u and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-17 + (4 - -3))\/((-1)\/2). Solve 2*x = 10 - g for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 679 or 684?\nAnswer: 684","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 4, -4*u + 0*r - r + 15 = 0. Calculate the smallest common multiple of 42\/4 + (-2)\/4 and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 32 = p, 5*z = 3*z - 8. Calculate the least common multiple of p and 91.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + 0\/(-3))\/(-1). Let q(l) = 4*l**2 - l + 2. Calculate the remainder when q(1) is divided by 2\/3*(2 + b).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of -p**5\/5 - 41. Factor d(w).\nAnswer: -w**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -41*k - 14. Is j(-13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.09 and -4227899.\nAnswer: -380510.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.046 minus 42?\nAnswer: -41.954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-130)\/(-35)*8\/((-256)\/56)*2.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-693)\/(-132)*4\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14680303*-2.\nAnswer: 29360606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (7 + -6)*(1 + 9)\/2. Suppose 2*m = f*v - 362, 0 = 4*v + m - 333 + 33. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-6\/7)*g**(-4\/7))\/(g**(2\/25)*(g**(-9)\/g)\/g))**(-13\/7))**(4\/13) assuming g is positive.\nAnswer: g**(-6644\/1225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17695320 is divided by 25.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -79 divided by -2?\nAnswer: 79\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-86 - -94) + (-3 - -3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fifty-one fifths of a microgram?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 6*k - 57 = 0. Suppose 3*o + 7 = k. Differentiate -4 - 6*v + 6*v - o*v**3 wrt v.\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 w when three letters picked without replacement from {w: 2, m: 4, x: 2, q: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 732005337 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 52, -2, 7, 1, 34 in decreasing order.\nAnswer: 52, 34, 7, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 39281225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(1\/3)*l*l)**23*(l*l**(1\/6)*l)\/(l\/l**(3\/5)) assuming l is positive.\nAnswer: l**(2353\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-2) + 1406\/84. Let u = a - 50\/3. Let w = -54 + 57. What is the closest to 1\/4 in u, 2\/9, w?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 244\/8 + -1 - 6\/4. Let n = t + -2. What is the greatest common divisor of n and 182?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, -3, 2, 1 in decreasing order.\nAnswer: 2, 1, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 5*b = 0, -4*v + b - 9 + 12 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 271076 is divided by 53659?\nAnswer: 2781","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9601?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17133 - 11565. Is s a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 45*b - 30 + 1171*b - 1 + 31 in the form p*b + h and give p.\nAnswer: 1216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 76104.7 to the nearest 1000.\nAnswer: 76000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16387 + 25927. Is 32 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 1755?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -3*b - 128. Let i(q) = q**2 + 16*q - 9. Let v be i(b). Does 13 divide (-34 + -5)*24\/v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 11 + 3. Let a be v - 16\/((-12)\/(-3)). Suppose -5*f + 250 = 4*m, -114 - 68 = -a*f + 4*m. Is f a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - 7*h**2 + 8*h + 16. Let x be v(-8). Let d be (27\/(-36))\/(222\/x). Which is smaller: 0.2 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -190 + -50. Round t to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 640338?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 31 and -1471.003.\nAnswer: -45601.093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 82399797?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 + 6*f - 3. Let b be l(5). Suppose b*j - m = 2, -2*m = -m - 2. Suppose -4*s + 3 = 5*u, j*s - 6*s - 3 = 3*u. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 AM and 7:03 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*n = -90*n + 61 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.16 + 1.84. Put t, 0.1, 2\/9, -4 in descending order.\nAnswer: t, 2\/9, 0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13546\/171 - -712\/9. Let o be (9 + -1)*7\/98. Which is the biggest value? (a) o (b) -0.2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5 - 6)\/((-2)\/46). Let b = 38 - q. Let m = b - 7. What is the highest common divisor of 2 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*d**4*i**2 + 757959*d**4*i - 824203*d*i**2 + 3*d wrt d.\nAnswer: -60*d**2*i**2 + 9095508*d**2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 4*n**3 - 6*n**2 + 28. Let r(x) = -3*x**3 + 5*x**2 - 28. Let a(k) = -4*q(k) - 5*r(k). Let z be a(0). Let h = -20 + z. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 3*k**4 - 13362*k**3 - 80244*k**2 - 160536*k - 107040 = 0?\nAnswer: -2, 4460","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140)\/(1*sqrt(10)) - sqrt(112)\/sqrt(2))\/(sqrt(175) - (sqrt(175) - (sqrt(175) - 1*sqrt(175)*-3) - sqrt(175))).\nAnswer: -sqrt(2)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 157d0 (base 16) in base 10?\nAnswer: 88016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 PM and 2:48 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 3*n - 323 - 151 = 0, -2*f = -4*n - 488. Suppose -8*r = 4*r - f. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 3)*(-5*o**2 + 0*o**2 + 4*o**2) - 3*o - 12*o**2 + 0*o + 17*o**2.\nAnswer: 7*o**2 - 3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + -6a698?\nAnswer: -6a698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 886?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-9) - (-20)\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((12\/98)\/(35\/(-245)))\/(-3)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b - 2. Let w(c) = c - 1. Let l be -7*(-8)\/56*1. What is l*y(f) - w(f)?\nAnswer: -2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4*(20 + -1) + 2\/1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x**2 + 4*x - 27. Does 9 divide u(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/2*154\/(-33). Let t = p + 10. Let r = 0.01 - 1.01. Which is the nearest to 3? (a) t (b) r (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(33) - sqrt(825)))\/(sqrt(27)\/sqrt(81)).\nAnswer: -72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*f + q = -73*f - 923, -3*q = -f + 193. Calculate the highest common factor of f and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 0. Let s = -56 - -57. Let a = 0 - 0. Sort s, a, h in ascending order.\nAnswer: a, s, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7782 at most 0.0383?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 142 - -125?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fifty-seven fifths of a milligram?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1147?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1738 and 316?\nAnswer: 3476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.9 + 3. Let o = -254\/3 - -84. Sort 0.5, b, o in decreasing order.\nAnswer: 0.5, b, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g. Let m(t) = t**3 + 7*t**2 - 13*t - 3. Let k(q) = -3*b(q) + m(q). Let j = -56 - -48. What are the prime factors of k(j)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*q = 20*q + 18. Suppose 0 = 4*h + q*p - 5*p - 536, -3*h = 5*p - 408. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4 - 153*c**3 + 7994*c**2 - 158172*c + 765576.\nAnswer: (c - 62)*(c - 42)**2*(c - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1751?\nAnswer: 17, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 2:53 AM?\nAnswer: 5:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 5318?\nAnswer: 47862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.03, -743, -39, -0.1 in increasing order.\nAnswer: -743, -39, -5, -0.1, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*v**2 - 3*v**2 - 2*v**2 + (8*v - 2*v**2 + 24*v + 19*v)*(3 + 3 - 1).\nAnswer: -8*v**2 + 255*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45)\/(-18)*(-6)\/(-15).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 6 = r. Let a be (24\/r)\/(2*-1). What is the units digit of ((-14)\/4)\/((-1)\/a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 2\/7 (c) -2\/5 (d) 3034\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -3*(sqrt(80)*-4 + -1)*3)**2.\nAnswer: 2304*sqrt(5) + 103744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c**4 + 1852488*c**2 + 3474*c + 1030 wrt c?\nAnswer: 12*c**2 + 3704976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1568895662.\nAnswer: 2, 71, 157, 70373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0 + 3 - 7 + 9*u**2 with respect to u.\nAnswer: 18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 483*a + 502*a - 993*a.\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 711366 and 1431.\nAnswer: 6402294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 177700 and 0.16.\nAnswer: 28432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 + -14.2. Which is greater: j or 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4558?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -640.93006 rounded to the nearest ten?\nAnswer: -640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - (56\/(-6) + 12\/(-18))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, s: 3, w: 1}. Give prob of picking 3 s.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4032) - (-1*sqrt(4032) - sqrt(4032))) + sqrt(63) - sqrt(63) - (sqrt(252)*5 - sqrt(63)))\/(3*(sqrt(144) + sqrt(144)*-3 + sqrt(144)) - sqrt(144)).\nAnswer: -15*sqrt(7)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-47)\/(((-130)\/(-10))\/(-26)*(-4)\/(-2))\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -105*o**2*y - 89*o**2 + 1 wrt y.\nAnswer: -105*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 348673 + -4d?\nAnswer: 348625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -937 + 965 - (5 + -12 + 24).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-16))\/((-78)\/(-52))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -26*c*j - 4*c - 1019*j**3*u + 3818*u wrt j?\nAnswer: -26*c - 3057*j**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 387157 > 387156?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -322418 divided by -4.\nAnswer: 161209\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3540340063?\nAnswer: 13, 272333851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of 1\/245*l**7 + 0 + 0*l + 1\/1176*l**8 + 0*l**4 + 0*l**5 - 1\/105*l**6 - 26*l**2 + 0*l**3. Factor u(c).\nAnswer: 2*c**3*(c - 1)*(c + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 404342 + 358680. Let t = u - 1313022. Round t to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uq when two letters picked without replacement from {q: 18, u: 2}?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 20, -2, -0.1, 46, -0.5, 1, -560?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59923.\nAnswer: 31, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -223 or -13003?\nAnswer: -223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 219*s + 1759. Calculate i(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.023 + -13.623. Let o = r + -59.4. Let m = -59.2 - o. Round m to the nearest integer.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 381b8 - 3?\nAnswer: 381b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.028170736474 rounded to 7 dps?\nAnswer: 0.0281707","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000011001000001 + 10?\nAnswer: -10000011000111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13786094 is divided by 29?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dmdm when four letters picked without replacement from {m: 2, d: 16}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -21318 + -18859?\nAnswer: -40177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12117.7 + -12117. Suppose -1 = -r - 6. Let y(i) = i**3 + 4*i**2 - 6*i. Let j be y(r). Which is the second biggest value? (a) 4 (b) j (c) x (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3\/5 - 174*b**2 + 90576*b\/5 + 887112\/5.\nAnswer: 2*(b - 222)**2*(b + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 23765 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 p when two letters picked without replacement from spssxpxxxxpmppsx.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 (base 10) in base 2?\nAnswer: -111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 118*j**2 + 6*j - 12. Let n(p) = p**2 - p + 2. Calculate 6*n(h) + q(h).\nAnswer: 124*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 80 = -3*c. Suppose 2*g - 4 = c. Does 12 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 - 204. Let a(y) = 2*y**2. What is a(b(r))?\nAnswer: 2*r**4 - 816*r**2 + 83232","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -30*z**2 - 5*z. Let k(b) = -29*b**2 - 6*b. Let v(t) = -5*k(t) + 6*p(t). Let u(r) = r**2. Determine v(u(n)).\nAnswer: -35*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppvp when four letters picked without replacement from {v: 3, p: 1, u: 11}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 487050?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 185789, 185806, 185843, 185912, 186025, 186194?\nAnswer: 186431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 1223\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1011555 + 280?\nAnswer: 1011845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 16 = -12. Suppose s - 2 = -2*t, 5 = t + 4*t + s. Let r(u) = -u**3 + u**2 - u - 1. Let g(v) = 3*v**3 - v**2 + 4*v + 2. Determine b*r(w) + t*g(w).\nAnswer: w**3 + w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5626 < 5626?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152*b**5 - 153460*b**4 - 1766428*b**3 - 1986568*b**2 + 1780784*b - 163360 = 0 for b.\nAnswer: -10, -2, 2\/19, 1\/2, 1021","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b + -17815?\nAnswer: -17807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14a48 (base 15) to base 5.\nAnswer: -4111233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117 = 5*t - 3. Let k = t - 20. Solve -4*a**3 + 3*a**3 + 5*a**5 - k*a**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 8:20 AM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.9 - -4.9. Let c = 209589 + -209636. Put c, y, -0.1 in decreasing order.\nAnswer: y, -0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2277401*y + 757175 wrt y.\nAnswer: 2277401","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 4 - 4*n**3 + 2*n**3 + n + 6*n**2 - 5*n + n**3. Let a be m(4). What is the highest common factor of a and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a millimeter in micrometers?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 + -17. Let t = b - 0. Let j(y) = -y - 2. Let o(f) = -1. Let m(r) = -j(r) - o(r). Calculate m(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1015, -1022, -1019, -1000, -959?\n\"Answer: l**3 - l**2 - 11*l - 1004","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 398 - 199. List the prime factors of u.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1102 - -1272. What are the prime factors of p?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/57 - -28) + -11?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 0.2, 1.6, -5, 0.23, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -0.5, -92127?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22901\/275 + -953\/11. Is t > -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(56)*-1)\/sqrt(8) - (sqrt(28)\/sqrt(4) + 3 + sqrt(7)))**2.\nAnswer: 18*sqrt(7) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 73918 - 73886 = -l, 4*l - b - 47 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**3 + h**3 + 0*h**3)*(2*h - 8*h + 0*h) - 2 + 26*h**4 - 15*h**4 - 10*h**4.\nAnswer: 7*h**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -535 + 537 + (-35 - -3)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28*-15*24\/(-1260).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 4*d**2 + 539*d + 4393. Give v(-126).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w + 5. Calculate c(7).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000 - 101100000010000111111?\nAnswer: -101100000010001000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 186416875 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 492 divided by -1.\nAnswer: -492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add 12272799 and -0.4785.\nAnswer: 12272798.5215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -1\/4 (b) 5 (c) -0.031 (d) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000270458 to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -v**4 + 794976*v**3 - 210661485210*v**2 + 18607518322344216*v + 55824450941863971 = 0.\nAnswer: -3, 264993","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 24*n**3 + 307*n**2 - 59*n - 16. Determine j(-13).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = 2*s. Suppose 4*u - 1 - 7 = 0, s = d - 4*u + 7. Solve 2*n = -3 + d for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/78 and 74\/1755.\nAnswer: 3510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/(54\/15)*(1 - 181) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 46.047 - 46. What is z rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 134ac (base 13) to base 10\nAnswer: 35970","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 82 - 91 + 26 + 8*n as a + u*n and give a.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w + 12. Let t(k) = -5*k + 33. Let b(x) = 4*t(x) - 11*u(x). Let l(v) = -v - 23. What is b(l(c))?\nAnswer: -2*c - 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 772?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -25148633.\nAnswer: -25148633","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -4*t**2. Let b(r) = 149*r - 9. Let v(o) = -140*o + 4. Let q(p) = 3*b(p) + 4*v(p). Give u(q(k)).\nAnswer: -51076*k**2 - 9944*k - 484","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 400 divided by 5.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g + 18*g = 21*g + 329880. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 453694 and 14.\nAnswer: 6351716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -681 - -677. What is the nearest to 1\/19 in 2\/7, -2, 1, x?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 259 and 77021?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 32088967?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*d + 21845 = -93*d. What is d rounded to the nearest one hundred?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -4*z**2 - 3*z - 1. Let r(b) = -5*b**2 - 4*b. Let o(i) = 4*k(i) - 3*r(i). Let t be o(0). Let s = t - -6. Put 0, -2, s in increasing order.\nAnswer: -2, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 100 - 10. Factor 4*h**3 + 105 - 31*h**2 + 52*h - m + 0*h**3.\nAnswer: (h - 5)*(h - 3)*(4*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of -2*k**3\/3 - 6*k**2 + 73. Let r(h) = 2*h**2. What is a(r(q))?\nAnswer: -8*q**4 - 24*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 10440\/(-1566)*(-12)\/(-5)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 9*z - 15. What is the units digit of t(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 3*a - 270, 2*k = -a - 2*a + 178. List the prime factors of k.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-15)*-2*-60. Let u = n - -24. Put u, 1, 5 in descending order.\nAnswer: 5, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (57546\/(-253))\/(-6) + (0 - 12\/(-11))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of m**3\/7 - 9*m**2\/7 + 15*m\/7 - 6. Let c(p) = 0. Calculate p.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 213 divide 137811?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000308898896 rounded to six dps?\nAnswer: 0.000309","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 + 5*z + 9. Let a(f) be the second derivative of 11*f + 1\/12*f**4 + 0 - f**3 - 5*f**2. Let i(s) = -5*a(s) - 6*u(s). What is o in i(o) = 0?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2849 (base 11) to base 16\nAnswer: -e63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -146 - -93. Let y = 141 + i. Suppose -a - 19 = -4*a + g, 2*a - 2*g = 6. What is the greatest common divisor of y and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + 99?\nAnswer: 9d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 12 = -l, -5*d - 5*l = 735. Which is bigger: -151 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/((c**(2\/17)*c)\/c)*c*c*(((c*c\/(c*(c*c*(c*c\/(c*c**13))\/c*c)\/c*c*c*c))\/c)\/c)\/c)**(1\/8) assuming c is positive.\nAnswer: c**(151\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 3*k + 3 = 1, 5*k = -2*r - 5 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.00539797028 and 0.32.\nAnswer: 0.31460202972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (0 - -4) + 4 + -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4.761 or -2\/3?\nAnswer: -4.761","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilogram in milligrams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27079 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 4*c - 5. Let q(d) = 5*d + 0*d - 6*d + 4 - 2*d. Give -7*q(g) - 6*v(g).\nAnswer: -3*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10162254 and 55136.\nAnswer: 3446","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -325 - 489. Let p = 830 + q. Solve -28 + p = 3*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**2 - 3*x**2 + x**2)*(0*x + 29*x + 20*x).\nAnswer: -49*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 192*n**2 + n - 2. What is the tens digit of p(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 2770*i**3 + 5339*i**3 - 2545*i**3.\nAnswer: 24*i**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(133) - (sqrt(133) - sqrt(133)*-2) - sqrt(133)))\/sqrt(7)*3 - (-5 + ((sqrt(171) + sqrt(171) + 1*sqrt(171) + sqrt(171))\/sqrt(9)*1)**2).\nAnswer: -299 - 27*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 965.\nAnswer: 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1898417 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 833333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000012315 to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 180 and 430?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 428 + -5a58?\nAnswer: -5630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -28229, -26234, -22913, -18272, -12317, -5054, 3511, 13372?\n\"Answer: -v**3 + 669*v**2 - 5*v - 28892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in eighteen fifths of a millennium?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2526?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.1 - 20.4. Let u = y - -18. Put -4, 1\/5, u in increasing order.\nAnswer: -4, u, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of 0*j**3 - 1\/8*j**4 - 1\/60*j**5 + 0 - j**2 + 0*j. What is the second derivative of q(p) wrt p?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 4847*d**2. Let r(b) = -14*b. Calculate h(r(m)).\nAnswer: 950012*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i**3 + 2*i**2 - 2*i + 12. Let l(b) = 2*b**3 + 2*b**2 + 13. Give 4*l(v) - 3*q(v).\nAnswer: 2*v**3 + 2*v**2 + 6*v + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + -75 - (-63 - 35).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 49 - 54. Let c(t) = 22*t**4 + 113*t**3 + 68*t**2 - 25*t. Let k(r) = -45*r**4 - 225*r**3 - 135*r**2 + 50*r. Let w(m) = b*c(m) - 2*k(m). Factor w(n).\nAnswer: -5*n*(n + 1)*(n + 5)*(4*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5762 is divided by 540.\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n + 55. Calculate f(57).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - t**2 - 1)*(1214*t + 135*t + 409*t).\nAnswer: -1758*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 3*w + w - 3*w. Let u be i(-1). Let y = 5 + u. Solve -5*n + 2*t - 7 = -2*n, 3*n + y*t + 13 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 132718628?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 - 4*u**2 - 3*u + 4. Let k be f(-3). Suppose -n + i = 6, -n + 25 = -6*n + k*i. Which is the third biggest value? (a) -0.2 (b) n (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.858 - 3.652. What is p rounded to one decimal place?\nAnswer: -4.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 + 35*k**2 + 15*k + 62. Let g be (31 + 8 + -4)\/1. Is s(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of -5*t**5 - 31*t**3\/3 + 38. Find the third derivative of x(q) wrt q.\nAnswer: -600*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 366777 and 748284.\nAnswer: 1473","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7731, -30898, -69505, -123546, -193015, -277906, -378213, -493930?\nAnswer: -625051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 48*p**2 - 543*p + 1695. Let y = 47 - 49. Let f(h) = -3*h**2 + 34*h - 106. Let b(a) = y*c(a) - 33*f(a). Factor b(x).\nAnswer: 3*(x - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.053? (a) -159 (b) -643 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -245716477 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -1\/2, 0.5, -0.3, -0.03?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 217414 + -217411. Suppose -2 = 3*w - 2*w. Which is the nearest to w? (a) -2\/31 (b) 0 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 478 is divided by 77?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18962629 by -1.\nAnswer: -18962629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 - 21\/(-6))\/((-2)\/(-20)). Let u be k*2\/4*(-28)\/(-5). Let t(n) = -n**2 + 24*n - 5. Let z be t(u). Calculate the greatest common factor of z and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*t - 3*x - 25, -857*t - 862*t - 6 - 2 = -1718*t + 2*x for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 540?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 - g. Let y(r) = -r**4 - 10*r - r**3 + 2 - r**3 + 8*r. Let x(u) = -4*s(u) + 2*y(u). Differentiate x(k) with respect to k.\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dyfbdfdddfdyydddfdb. Give prob of sequence bdby.\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -6. Let x = 9 + o. Which is the nearest to 0.1? (a) -2\/5 (b) x (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 830\/83 - 389386\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/648 and 69\/7840?\nAnswer: 635040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of o**6 + 2*o**2 + 2. What is the second derivative of v(x) wrt x?\nAnswer: 120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 14\/536127?\nAnswer: 14\/536127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/3 - 30\/(-18). Suppose j = v + v. Suppose -2*a + v = -1. Solve -a = d + y - 2*y, 5*y = 3*d - 3 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 times -54?\nAnswer: -8532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-480)\/(-8))\/4 + (3\/(-1) - -2). Let l(q) be the first derivative of 3\/7*q**2 + 0*q**4 - o + 0*q + 3\/35*q**5 - 3\/7*q**3. Factor l(s).\nAnswer: 3*s*(s - 1)**2*(s + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, g: 4, o: 3, l: 2, k: 1}. Give prob of picking 2 o.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 57 divided by -1588\nAnswer: -57\/1588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 15*w**2 - 202*w - 1783. Calculate the remainder when s(-9) is divided by 257.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x + 8 - 1 + 0*x. Let c = 3 + -3. Let w be d(c). Solve l - i = 5*l + w, -4*i + 35 = -5*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4520 divided by 111886\nAnswer: 2260\/55943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 AM and 4:42 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*i - 0. Let g(q) = -4*q + 1. Let d(s) = 5*s - 3. Let y(t) = 2*d(t) + 3*g(t). Give y(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4722 divided by -8213\nAnswer: -4722\/8213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a361 + 3?\nAnswer: -a35c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(416) - -2*sqrt(416))*-6*2)\/(sqrt(648)*-1*2*-6).\nAnswer: 4*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d, 1 m, and 1 z when four letters picked without replacement from uzbdzdmbmmuubbb?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(2\/(-20)*4). Let x(i) = 61*i**2 - 42*i + 208. Is x(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*c = 128*c - 15. Let t(m) = m + 15. Let a be t(-9). Put a, c, -2 in decreasing order.\nAnswer: a, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 39*y**2 + 6 - 4 - 28*y**2 to the form a + g*y**2 + i*y and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 26 + (-5 - 1 - 9)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a**2\/2 - 2937*a\/2 - 551669 = 0. What is a?\nAnswer: -337, 3274","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -2)\/(-23 + 22).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13136624?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Is 70616107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -65 + 116. Suppose -j = -6*h - 9. Find the third derivative of -h*u**5 + 6*u**5 + 2*u**2 + 2*u**2 wrt u.\nAnswer: -60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6689?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 7*o = 10*o - 11133, -j + 5*o = -3723. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = 4*w - 5*a - 11, 2*w + 23 = -5*a for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*b - 42 = -9 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + 15 + 8*z + 19 + 3 - 12 as t*z + a and give a.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11261 (base 15) in base 11?\nAnswer: 37a83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 23 = -5*y, 39 = -n - 4*y + 17 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-81)\/(-12) + (-5)\/(-20). Let i = o - -50. Let t = 69 - i. Is 12 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -257? (a) 1 (b) -5 (c) 121 (d) -0.1 (e) 0.21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 6\/25 of a millennium?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -79 (b) -12 (c) 0.2 (d) -252 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + 34 + -50 + 30.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, -9, -40, -105, -216, -385?\nAnswer: -624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r**2 + 12*r + 19. Let t be l(10). Let j = -37 - t. Is 2 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1461448432920 - -49.\nAnswer: 1461448432969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccaac. What is prob of sequence ac?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1268 - 1268.01555. What is u rounded to 3 decimal places?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 8*k**3 + 9*k**2 - 5*k - 35. Determine d(-3).\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.810156ml to litres.\nAnswer: 0.006810156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 151936720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -d - 5*l + 2, -2*d + 3 = 3*l. Suppose -2*q + 5*q = d. Let s be (q + 1)\/3*-4. What is the second biggest value in 3\/4, s, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, j: 7}. Give prob of sequence fj.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -t**3 + 15173*t**2 + 1616765*t + 42918711 = 0?\nAnswer: -53, 15279","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 AM and 6:58 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.64 - -3.64. Which is the nearest to t? (a) -51 (b) -1 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 4*a**2 - 2*a - 6. Let h be u(4). Let f = -22 + h. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*1*(sqrt(13) + (sqrt(208) - 4*sqrt(208))**2 - sqrt(13)).\nAnswer: -11232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21000122 - -2011011?\nAnswer: 100011210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -62543 (base 8) to base 11.\nAnswer: -18556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a second in milliseconds?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29338?\nAnswer: 2, 14669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = v + c + 3, 3*v + 12 = c - 5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -659*r**4 + 518*r**3 - 4744867*r**2.\nAnswer: -15816*r + 3108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29652*y - 9872*y - 9808*y - 9870*y.\nAnswer: 102*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**3 + 2*p - 2*p)*(0*p + 2*p - 4*p) + 0*p**4 + 4*p**4 - 2*p**4 - 2*p**4 + p**4 + 2*p**4.\nAnswer: 5*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 442524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.4 (b) 0.3 (c) -1\/2 (d) -0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -901*n - 2731*n + 3635*n - 13.\nAnswer: 3*n - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 4*r + 402 = 0. Let f = 198 + r. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 50*s + 10. Let m(b) = -10*b - 2. Let w(g) = 3*f(g) + 16*m(g). Suppose 2*o = 3*o + 8. Let x(p) = p. What is o*x(q) - w(q)?\nAnswer: 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 PM and 5:53 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10 - 6312134?\nAnswer: -6312144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15017 is divided by 348.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 159 - 155. Suppose 7*p + 2*l = 9*p - 780, 5*p = v*l + 1950. List the prime factors of p.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of 361*z**6\/10 - z**4\/6 + 13*z**3\/6 - 2*z**2 + 69*z + 1. What is the third derivative of r(f) wrt f?\nAnswer: 25992*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2.8 (b) -1\/7 (c) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3119\/3 - 1039. Let l be -4 - 92\/(-12) - 3. Solve 0 - q*b + l*b**2 = 0 for b.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-12) - (-4)\/((-48)\/(-26)). Solve 0 = 3*g + 9, 3*d = g - s*g - 12 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 15) in base 10?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((10\/(-2))\/1)\/(6\/6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52775195.\nAnswer: 5, 11, 397, 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51049?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r - 3. Let m be n(8). Suppose -69 = -4*p - v, -m*p + 5*v + 12 = -4*p. Calculate the remainder when 116 is divided by p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1165 divide 27755760?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-22\nAnswer: 2.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 9:04 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of -w**6\/24 - 2*w**3 + 2*w**2. Differentiate y(i) wrt i.\nAnswer: -15*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -8*t**3 + 416*t**2 - 2206*t + 36. Determine d(46).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/1768 and 57\/4.\nAnswer: 1768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 take away 31533?\nAnswer: -31524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h - 6. Let y be w(-8). Suppose -y*b = 2*p - 4*p - 14, 34 = 5*b - 4*p. Let n be 0*(-3)\/b - -6. Solve -a = -n*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(3*sqrt(152))\/sqrt(4))\/(sqrt(288) + 6*(sqrt(288) - 4*sqrt(288) - sqrt(288))) + 5.\nAnswer: -3*sqrt(19)\/92 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 11 = -4*q, -3*v + 3*q - 6 = -3. Does 16 divide (-16)\/(v + 4\/(-2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 + 8*j**2 + 2*j + 12. Suppose -3*z - 39 = -v - 2*v, 4*z = 3*v - 47. Calculate r(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - r - 15, 0 = 5*a + 3*r - 50 + 7. Suppose 30 = a*j - 34. Solve -3*c = j + 1 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*l - 306 = -7*l for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 AM and 11:59 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 31\/354, -0.1, -0.02, -1, 0.01?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2 + 4 = 0. Suppose -y*k + 92 + 52 = 0. Suppose 0 = -2*z + k + 90. Calculate the greatest common divisor of 9 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 135 divided by -27.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 660 a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 10 = w. Let i(p) = -3*p**2 + 3*p**2 + p**3 - 5 + 6*p**2 + 4*p. Let f be i(w). Solve -1 = n - f for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*p + 231*p - 15*p + 300*p + 145*p.\nAnswer: 577*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -12832760 divided by -4?\nAnswer: 3208190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 236 + -151. Calculate the remainder when n is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14 - 39 + 147*d**2 - 20*d + 3 + 19*d with respect to d.\nAnswer: 294*d - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 - 17*i**2 - 40*i + 165. Determine r(-11).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**5 + 70*d**4 + 260*d**3 - 120*d**2 - 1440*d.\nAnswer: 5*d*(d - 2)*(d + 4)*(d + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*r - 7. Let l(p) = -17*p. Let n be l(0). Suppose -4*u = n, 0*u + 240 = r*a - 3*u. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 65450912 and 1\/7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 11:23 AM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 992\/7 + -142. Let b = 110 + -109.92. Is h greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 111, 233, 355, 477, 599, 721?\nAnswer: 843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 5*o = 6. Find the second derivative of -12*x**5 - 4*x + 8*x**5 - o*x wrt x.\nAnswer: -80*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -389 and 144?\nAnswer: -56016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*f**2 + 28*f**3 - 24*f - 2672 + 25*f + 2670 to l + v*f**3 + z*f + r*f**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 5*v**3 + 11*v**2 + v + 7. Let t(l) = -4*l**3 - 10*l**2 - l - 7. Let w(d) = -2*c(d) - 3*t(d). What are the prime factors of w(4)?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 39 or 81712\/2143?\nAnswer: 81712\/2143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5 + (-7 - -1))\/((-4)\/2322). Let w = c + -578. Suppose 5*d**2 - w*d**3 + 0 - 5\/2*d = 0. Calculate d.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.23 + -3.6. Let d = 0.1 - 0.03. Let l = d + u. Which is the closest to -1? (a) -1 (b) l (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 + (20 + 1 + -16 - -10)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 78 + 46 = -13*u, 3*u = 5*y - 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 0.9. Let p = 1217.0037 - 1217. Let z = p - -0.5563. Does z = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 5*r**2 - 227*r - 1. Let c(i) = -2*i**2 + 112*i + 1. What is -7*c(n) - 3*k(n)?\nAnswer: -n**2 - 103*n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/310 or -342?\nAnswer: -342","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3439 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -50452 + 79955. Is k a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 292191 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + 7*l**2 - 7*l - 7. What is k(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 96 + -92. Solve 0 = j*w + 2*q - 10, q - 5 = -3*w - w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 1500000*x**2. Let f be b(-1). What is f rounded to the nearest one hundred thousand?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/10 of a millennium?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -57979, -115970, -173979, -232006, -290051, -348114, -406195?\n\"Answer: -9*y**2 - 57964*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -6633 + 13256 - 6623 + 387*n. Let w(f) = 11*f. Calculate w(u(k)).\nAnswer: 4257*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18186?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + (10 - -38) + -15 - (6 + -7 + 9).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -5*u - 65, 4*u - 3*t + t + 64 = 0. Let b(m) = -m**3 - 13*m**2 + 13*m + 24. What is the units digit of b(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 8:29 PM?\nAnswer: 8:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 433, 442, 457, 478, 505, 538, 577?\nAnswer: 622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3\/3044 + 5894\/3805. Suppose 0 = y, -4*h - 2*y = -0*h - 344. Calculate the common denominator of (h\/36 - -2)*12\/24 and j.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*n**3 + 2858*n**2\/3 + 212*n.\nAnswer: -2*n*(n - 159)*(9*n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-12))\/(d**37\/d) assuming d is positive.\nAnswer: d**(-47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-7) - (-46)\/(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.459 + 0.059. What is the closest to -4 in x, -0.1, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1103 + -112?\nAnswer: -1221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do -17053 and -17053 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (972\/(-84) - -11)\/(910\/245).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4131.307 rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 + 6 = -2*m. Let b = m + 47. Suppose -8*l + 27 = -29. What is the lowest common multiple of l and b?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 36*r = -60, -53965*p + 5*r = -53967*p + 59 for p.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b**3 - 3*b**2 - 13*b + 8. What is s(-4)?\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13 and 6032.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 - -5. Suppose -5*n - 2*q = -v, 0 = 3*n + 2*n - 4*q - 8. Calculate the remainder when n is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of -4*z**5 - 155*z**2\/2 - z - 31. What is the derivative of r(c) wrt c?\nAnswer: -240*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.054 take away 62.76420097?\nAnswer: -62.81820097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.028 + 0.428. What is the third smallest value in -0.5, 0.1, 5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, 2092, -2, -150, 21 in ascending order.\nAnswer: -150, -3, -2, 0, 21, 2092","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 46\/19? (a) 2\/7 (b) 2\/5 (c) -1\/9 (d) -5 (e) 303.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/10)\/(1\/(-5)). Calculate the common denominator of (1\/(-3) - -1)\/((-76)\/4845) and (-172)\/24*6\/s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + s + 40 = 0. Let j(p) = 2*p**2 - 5*p + 4. Let a be j(3). Let h = a + -1. What is the remainder when s is divided by h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -212020 + -110002200?\nAnswer: -110221220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4244216 tonnes in kilograms?\nAnswer: 424.4216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -391.7 + 398.2. Which is greater: i or -7\/2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 - 1)*(-b + 2 - 2)*(4*b - 5*b**2 - 4*b).\nAnswer: -20*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f + 1. Suppose -2*o + 4*o = -6. Let a(r) = 7. Let m(d) = 1. Let q(p) = a(p) - 6*m(p). Determine o*q(c) + 3*h(c).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i**(3\/7)*i))\/(((i**(-2\/7)\/i*i)\/i)\/i)*((i\/(i\/i**1))\/i)\/(i\/(i**2\/i))*((i\/((i*i*i\/(i**(2\/5)*i*i))\/i))**(-8))**(-2\/27) assuming i is positive.\nAnswer: i**(1594\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 59 + 52. List the prime factors of q.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a + 5. Let o(p) = -21 + 0 - 97*p + 88*p. Give -5*o(s) - 21*w(s).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16\/25 + -988\/175. Let h(g) = 7*g**3 + 2*g**2 + 2*g + 1. Let m be h(-1). Find the common denominator of m*(837\/(-60))\/9 and k.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 42066885?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -512 divided by 4.\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -553630200 rounded to the nearest one hundred thousand?\nAnswer: -553600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 14) in base 15?\nAnswer: d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7755586 seconds to microseconds.\nAnswer: 775558.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 120877.300067 + -120878.3. Let r = j - -1. What is r rounded to 5 dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*t - 26*t**3 + 29*t - 69*t wrt t.\nAnswer: -156*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13023934 or -13023931?\nAnswer: -13023934","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -278, 0.02, -1\/5, -0.041, -196, -5\/3?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1 + 649\/(-252) + -25 + 1575\/60 and 139\/1008?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 3*y - 3*f + 1133, y = -4*f + 559. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7407*g**2 + 158*g - 7317*g**2 - 157*g.\nAnswer: 90*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 5:17 PM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -76*p**3 - 24*p**2 - 5*p + 37. Is n(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1848 * 1.\nAnswer: 1848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 489*v**2 - 1315*v**2 + 357*v**2 + 491*v**2.\nAnswer: 22*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {e: 6, l: 13}?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 434*k**2 + 2*k + 699. Is m(14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 10) to base 13.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7312 by 2.\nAnswer: -3656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 811*q + 0 + 6.\nAnswer: 811*q + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*c + 47*c = 3*n - 8, 2*n - 5*c = 27 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2723818 (base 9) to base 3.\nAnswer: -2210210220122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (65\/2 + -1)\/((-17307)\/17388 + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 443397?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -169618.8 to the nearest one thousand.\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -309, -288, -253, -204, -141, -64, 27?\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(99) + (3*sqrt(99)*-2 - sqrt(99)))\/(6*sqrt(36)\/sqrt(4) + sqrt(9)).\nAnswer: -6*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20.946 - -0.054. Let z = i + -21.1. Is z >= -1\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 89 + -110. Find the common denominator of 91\/16 and (r\/(-70))\/((-24)\/(-470)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14905 divided by -9104?\nAnswer: -14905\/9104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + i**2 + 2. Let n = 267 + -262. Suppose 4 = f, -3*f = n*q - 8 - 19. Give j(q).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v + 10. Calculate y(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.465537 weeks to microseconds.\nAnswer: 3910356777600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2601*f. Let u(w) = 2*w. Give a(u(x)).\nAnswer: 5202*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 - 24*q + 37. Let j be c(22). Let z be ((7\/(-7))\/(j\/(-2)))\/2. Which is bigger: z or -0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 162*v - 165*v**2 - 18*v**4 - 60 + 3\/2*v**5 + 159\/2*v**3.\nAnswer: 3*(v - 5)*(v - 2)**3*(v - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -40, -75, -144, -259, -432?\nAnswer: -675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 3 = n, -k + 2*n - 14 = -8 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -4*t + 2563, -21*t + 5*m = -16*t - 3200. What are the prime factors of t?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = 2*q - 105. Let u be 4\/(-14) + (-216)\/q. Let c = u + -12. Let p(x) = -x**2 - 2. Give p(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**4 - o**4 + 0*o**4)*(1 - 19 - 19).\nAnswer: -37*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 2 (b) 2554\/9 (c) -4 (d) -30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -54380 smaller than -54383?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-55)\/(77\/7)*(-4)\/10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.08 + -7.08. Let q = -44 - -173\/4. Which is the nearest to o? (a) 0 (b) 2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 902 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1410, -5208, -11408, -20004, -30990, -44360?\nAnswer: -60108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96) - sqrt(24))*3)\/(-2*sqrt(1728) - sqrt(1728) - sqrt(12)).\nAnswer: -3*sqrt(2)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 2*o + 16 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - 5*n + 3*n)*(-n + 4 - 4) + 5*n - 5*n**2 - 5*n + 3 - 3 - 3*n**2 + (0 - 1 - 1)*(3*n**2 + 0*n**2 - 2*n**2) - n**2 + 4*n - 4*n.\nAnswer: -10*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6123)\/(-273) - 23 - 180720\/(-14). What is the highest common factor of t and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of s**6\/120 + s**5\/30 - s**4\/24 - s**3\/3 + 2*s**2. Let f be m(-2). Is f at least -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66188, -66189, -66190, -66191, -66192?\nAnswer: -66193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 813, 1522, 2081, 2442, 2557, 2378?\n\"Answer: -8*p**3 - 27*p**2 + 846*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(3\/5)\/(h*h**(-4))*h**6\/(h*((h**(2\/3)\/h)\/h)\/h*h))**(1\/3) assuming h is positive.\nAnswer: h**(149\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -11*l**2 + 55*l + 239. Calculate b(-3).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 AM and 2:21 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 49623836 to the nearest integer?\nAnswer: 7044","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 4.934297 kilometers?\nAnswer: 4934.297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -32*w**2 + 11*w**2 - 16*w**2 + (-3 + 1 + 1)*(2*w**2 + 3*w**2 - 3*w**2) + (-2*w + 3*w - 3*w)*(-w + w - 2*w) - 4918*w - 29*w**2 + 4918*w.\nAnswer: -64*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -3*u**4\/4 - 3*u**3 + 3*u**2\/4 + 3*u = 0?\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*i - 715 - 41*i - 39*i + 715.\nAnswer: -7*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 773.3 to the nearest 10.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p = 3*p - 156. Let t be p\/18 + 6\/4. Let q be 17\/(-4) - 4\/(-16) - 0. Sort -0.5, q, t.\nAnswer: q, t, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 272 divide 248463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -7*s + 72. Let m = s - 8. Let b be (-16)\/(m\/4) + 4. Solve 2*i - 6 = -b for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -13*d - 45. Let j(f) = -11*f - 102. Let u(g) = -43*g - 392. Let b(p) = 19*j(p) - 5*u(p). Calculate 7*b(z) + 3*m(z).\nAnswer: 3*z + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 595 and 65076.\nAnswer: 2277660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 a when two letters picked without replacement from {a: 3, g: 3, p: 1}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.427319 hours in seconds?\nAnswer: 1538.3484","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 325 - 355 = 4*q, 2*q = -3*f + 45. Factor -11*c**3 - 21*c**2 + 1\/3*c**5 - 1\/3*c**4 + 0*c + q.\nAnswer: c**2*(c - 7)*(c + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 PM and 10:41 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + -1c5dc?\nAnswer: -1c601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (4 + -3 + -7)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6345?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28.061 + 0.061. Let i = 28.00012 + g. Round i to 5 decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (63 - (0 + 17)) - 17) + (-4 - -1)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 48817284 divided by -2?\nAnswer: -24408642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 6*i - 23 = -2*i, 2*s + 5*i + 27 = 0. Calculate the common denominator of ((-27)\/18)\/((-152)\/(-158) + s) and -41\/156.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-3)*-1*(61948800\/1536)\/(-717)\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -68 plus -0.108?\nAnswer: -68.108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 + 1. Suppose -4*m + 0*m - 4 = 0. Let d(t) = -3*t**2 + 1. Let y(z) = 7*z**2 + z - 6. Let v(h) = 6*d(h) + 2*y(h). What is m*v(j) - 5*n(j)?\nAnswer: -j**2 - 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/4*0\/2. Suppose 3*d - 6*d = j. Suppose -2*r + 8 = -d*r. Does 4 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of -144*g**7\/7 - 43*g**4\/3 + 2*g**3\/3 + 453*g + 4. What is the third derivative of n(v) wrt v?\nAnswer: -51840*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23570 * 2.1\nAnswer: 49497","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2608*z + 9 = -2599*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1071462 and 42.\nAnswer: 1071462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -1, 0, -0.4, -202, -0.3?\nAnswer: -202","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -3. Let c = 35 + -243\/7. Let g be (-1)\/2 + (-11)\/(-14). What is the nearest to c in w, g, 1\/8?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 29 - 111)*(-2*v**3 + 0 + 0).\nAnswer: 246*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -181?\nAnswer: -184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 166.1765 (b) 4 (c) -3\/7 (d) 0 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.309562588 to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + l = 2*f + 244, -4*f - 88 = -l. Does 8 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -127*g**3 - 1457*g**2\/5 + 74*g\/5 + 896\/5 = 0. What is g?\nAnswer: -2, -1, 448\/635","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -180, 0.183, -22, 0, 1\/8 in increasing order.\nAnswer: -180, -22, 0, 1\/8, 0.183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 13, 48, 81, 112, 141, 168?\n\"Answer: -x**2 + 38*x - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**5 - 661*c**4 - 15405*c**3 - 74191*c**2 + 215306*c = 0. What is c?\nAnswer: -637, -13, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t - 8. Let q(n) = n + 4. Let p = 16 - 23. Let a(v) = p*q(v) - 4*g(v). Differentiate a(w) with respect to w.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 59636248 and 1732.\nAnswer: 59637980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (0 - (-3 + 1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 7*c**2 + 8*c - 5. Let v be -1 + 8\/2 + 4. Let m be o(v). Suppose 11 = -4*k + m. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73 + -167 - (-6 - 73)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 4*w = 85, 0 = -4*l - w + 6*w + 59. What is the least common multiple of 51 and l?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 7 + 5*d - d + 0*d - 2*d. Let b be y(8). Suppose -3*c + 40 = -b. What is the remainder when c is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -108*p + 4441. What is j(20)?\nAnswer: 2281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.4 + -0.2. Let y = -699.3 + 758. Let n = -59 + y. What is the nearest to -0.1 in -1, n, d?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 i when two letters picked without replacement from {i: 7, e: 8, a: 1, l: 1, p: 2}?\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from {v: 4, p: 1, m: 3}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.2816708us to days.\nAnswer: 0.000000000049556375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 506\/(-70) - (-12)\/28. Do -7 and x have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 540328*v = 542641*v - 25443 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1703 - 1669. Calculate the highest common divisor of 2482 and x.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 0.5. Let h = 12864.6 + -12865. What is the second biggest value in 1, b, h, 3\/22?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9625483800 rounded to the nearest one million?\nAnswer: -9625000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98377*a - 1870*a - 55168*a - 14195*a.\nAnswer: -169610*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 2 = -4*m + 2*q, 4*m - 4*q = 0. Let a(v) = -3 + v + 9*v - 2*v + m. What are the prime factors of a(2)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 8*w. Let k(t) = 6*t**2 - 4*t**2 + t**2. Give p(k(d)).\nAnswer: 24*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -181c?\nAnswer: -1822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2134130 - 25225?\nAnswer: 2104501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144*x + 342 = -141*x. Suppose -1177 = -4*m + 3*f, 2*m - x - 481 = -5*f. List the prime factors of m.\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1459865, -2919604, -4379343, -5839082?\n\"Answer: -1459739*a - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8.3 - 8. Let w = -4 - -3. Let l = -0.118 + 5.118. What is the closest to 0.1 in w, l, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -74 - -36. Calculate the least common multiple of 1\/(-2) - k\/4 and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 306348061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 381, -80, -833, -1866, -3167?\n\"Answer: 2*z**3 - 158*z**2 - z + 538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = 4*c - 4, c + 7*f + 3 = 2*f for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18856 to the power of 1\/2, to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q + 0*q**2 + 901 - 6*q**2 + q**2 - q**2 - 913 to the form r*q**2 + j*q + z and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vb when two letters picked without replacement from gbpvg.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of p**6\/33 + 6*p**5\/55 - 7*p**4\/11 - 8*p**3\/11 + 40*p**2\/11 - 1126. What is g in m(g) = 0?\nAnswer: -5, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 + (6 + -3 - 2). Suppose h*u + 2 = -k + 11, -3 = -3*u + 3*k. Solve -u*b = 2*b - 12 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -37 - -41. Suppose 0 = -h*j - 4, -5*j - 4 = p - 9*j. Which is bigger: p or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*b**3\/2 - 42*b**2 - 18*b.\nAnswer: 3*b*(b - 6)*(5*b + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8\/48 + (-7809)\/(-18).\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/2 (b) 1039 (c) -1 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 8283 = 8*z. Suppose -z = -24*d + 21*d. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-35))\/(((-240)\/21)\/(-5))?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 14, 61 in ascending order.\nAnswer: -11, 14, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(1700) + 3)*-2)**2 + (sqrt(68)*-1 - -4*sqrt(272)).\nAnswer: 494*sqrt(17) + 27236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2376812 is divided by 33476.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3989 (base 14) to base 13.\nAnswer: -47b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of -r**5\/10 + r**2. Let o(w) = w**2 - 5*w + 5. Let f(v) = v - 1. Let t(n) = -5*f(n) - o(n). Calculate z(t(g)).\nAnswer: -6*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1305065 (base 7) to base 13.\nAnswer: 5c3c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -112 (base 9) in base 10?\nAnswer: -92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 687121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = 2*f - 2, 5*g + f - 2 = 3*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -188 divided by 6366.\nAnswer: -94\/3183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 5*b + 37. Let s be m(-7). Let q(d) = 8*d**2 - 7*d**s + 42*d**2. Let n(u) = -2*u**2. Calculate n(q(c)).\nAnswer: -3698*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**2 - 4 + 0 - 2*c + 1. What are the prime factors of t(6)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 4 + sqrt(68) + -2 + sqrt(119)\/(sqrt(7)*1 - sqrt(7) - sqrt(7))*-6*4)**2.\nAnswer: 312*sqrt(17) + 11528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.6, -1\/3, -3\/5, 0.5, -5 in decreasing order.\nAnswer: 2.6, 0.5, -1\/3, -3\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10505 divided by 55?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i**2 - 11*i - 8. Suppose -33*f = -186*f - 612. What is w(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3203060592 to the nearest one hundred thousand.\nAnswer: -3203100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -7) + 11 - 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -5*f + 1670, m = -f + 2*m + 334. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -201 - 475 = -26*i. What is the biggest value in 3\/7, 4, i, -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 10 - (-3 - -19 - 11)) + 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 59565.6ng?\nAnswer: 0.0000000000595656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*g = -30*g + 126 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 AM and 8:11 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(90)\/sqrt(3))\/sqrt(10))**2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 5:23 PM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**3\/3 - 68333*t**2\/3 + 1167657160*t\/3 - 3501126732 = 0 for t.\nAnswer: 9, 34162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -114286 + 2514?\nAnswer: -111672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x**12*x)\/x*x)\/x)\/(x**0*x))\/(x**(-4\/3)\/(x*x**3)) assuming x is positive.\nAnswer: x**(49\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 16. Let d be (-4)\/(-6)*27\/6. Solve -4 = -i - 4*p - 1, d*p + o = -4*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + 4*j**2 - j + 7. What is the remainder when t(-4) is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 4\/7, -4, 2, 0, -2 in decreasing order.\nAnswer: 2, 4\/7, 1\/3, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (12 + (-984)\/80)*(-1 + 33\/18). What is the third smallest value in c, -6, 7.27?\nAnswer: 7.27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 690591?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**4\/3 + 50*z**3 + 2367*z**2 + 88736*z\/3 - 273916.\nAnswer: (z - 6)*(z + 47)**2*(z + 62)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + 5*t + t)*(3 + 4 - 1)*(1 - 4 + 2).\nAnswer: -42*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - q + 7 = -0*t, t = -5*q - 13. Suppose -2*u - 3 = -23. Solve 4*s - t = -u for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {p: 5, u: 4, r: 1, o: 5}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -483808 divided by 13\nAnswer: -37216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 467520?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 - 69*v**2 + 26*v + 2851. Give s(68).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 81675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n + 8. Let g be q(6). Suppose -b = g - 3. Solve 0 - b = d, -2*i + 5*d = -5 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 22 = u, -3*g = 4*u - 0*u - 27. Suppose d + 2315 = 4*d - v, v = g*d - 3857. Suppose 28*b = 27*b + d. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-154)\/4 + 2)*-2. Suppose 6*q = 4*j + 3*q + 69, q = -4*j - t. Is 4\/j - (-497)\/9 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 7. Let v(z) = 25*z**3 - z**2 + z. Let s be v(1). Suppose 5*t = 3*p + s, -4*p - t = -4 - 1. Solve -3 = m - 2*f + 3, p = 2*m + k*f - 28 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -5*v - 24*v**2 + 5*v**2 + 7*v**2 + 9*v**2. Let g be y(-4). Let n be 24\/g + 1 + (-138)\/(-14). Calculate the greatest common factor of n and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -38, -28, -4, 40, 110, 212, 352, 536?\n\"Answer: k**3 + k**2 - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + 2*l**2 + l - 2. Let b be u(-2). Let k be 8\/6*(-282)\/b. Suppose -3*v - k = -2*o, 3*o - 4*v + 51 = 194. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.68153 to 2 dps.\nAnswer: 0.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.136 * -282657.\nAnswer: -603755.352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6094 - -6087. Put -1, -2, d, -4, 27 in ascending order.\nAnswer: d, -4, -2, -1, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 323567505.\nAnswer: 3, 5, 47, 59, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -5.\nAnswer: -5, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.72*0.7.\nAnswer: -1.204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 12*f**2 + 12*f - 33. Let w = 1592 - 1597. Let k(p) = -3*p**2 - 3*p + 8. Calculate w*y(d) - 21*k(d).\nAnswer: 3*d**2 + 3*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -104*j - 4682. Calculate f(-45).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of 7*x**5\/12 - 55*x**4\/24 + 10*x**3\/3 + 15*x**2 + 15. Let l(q) be the second derivative of j(q). Let l(g) = 0. What is g?\nAnswer: 4\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9876?\nAnswer: 2, 3, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*((-9120)\/19)\/(-32).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 5*r**3 - 6*r - 3. Let c(w) = 3*w - 3*w**2 + 4*w**2 + 4*w**3 - 3 - 8*w + 0*w**2. Let l(j) = 4*c(j) - 3*f(j). Suppose 0 = -b + 2*b + 4. Determine l(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1717594 divided by -476\nAnswer: 858797\/238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/14 - (-693)\/(-1470).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 29 (b) 0.3 (c) 154\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8905777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 29 = 3*h, -4*f + 4*h + 26 = 3*h. What are the prime factors of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1078349803 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of 0 + 17\/6*l**3 + 2*l**2 - 7\/24*l**4 + l. Let t(g) be the first derivative of w(g). Differentiate t(f) wrt f.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00084829912 to 6 dps.\nAnswer: -0.000848","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b = 11 + 49. Solve -s - b*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -643085559 divided by 3\nAnswer: -214361853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + 3\/2)*-4. Suppose -2*s = r*n - 1 - 33, -5*s - 2*n + 79 = 0. Calculate the remainder when 58 is divided by s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001135 rounded to 4 decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) + -2 + -2 + 0)**2 + -3*(2 + (1 + sqrt(75))**2).\nAnswer: -102*sqrt(3) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 8 + 54 + a + 0 - 3*a + 19. Calculate the remainder when 132 is divided by n(27).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 966 and 1278.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -92 - -33. What is v rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*d - 400 = -67*d. What is the smallest common multiple of 40 and d?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-2 - -44) + 2)\/((-2)\/(-14))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -6*o**2. Let g(m) = m - 6*m + 4*m - 2*m. Calculate g(r(s)).\nAnswer: 18*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14804 + -14812.115. What is d rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2485\/4 in -1\/2, -1, 3\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 20 = d. Suppose -t + d*m = 4*t, 0 = -t - 5*m. Suppose -5*p + 4*i = 12, t*i + 6 = 2*p + 2*i. Which is the smallest value? (a) -1 (b) -5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 33\/4, 0, -7.5 in increasing order.\nAnswer: -7.5, 0, 33\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 29592*l - 177598. Calculate m(6).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + (-20 - -10) - 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 496926245 to the power of 1\/2, to the nearest integer?\nAnswer: 22292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tvd when three letters picked without replacement from {z: 1, d: 1, t: 2, v: 1, y: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 63 = 3*a + 63, -3*d + 18 = 0. Calculate the remainder when 1321 is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 26\/22 + ((-6)\/33)\/1. What is the second derivative of 183*i**3 - 4 + 5 + 129*i - f - 46*i wrt i?\nAnswer: 1098*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 35*l**6 - 9*l**2 - 76*l**6 + 39*l**6 wrt l.\nAnswer: -240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u**3 + u**2 - u + 1. Let d(s) = 11*s**3 - 6*s**2 + 174*s - 5. What is d(o) + 6*g(o)?\nAnswer: -o**3 + 168*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d88b1 + -5?\nAnswer: -d88b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 + 15. Suppose -2*y - 4*o - o = -19, 0 = -3*y - r*o + 15. Suppose y*h + 302 = 3*n, 2*h - 69 - 45 = -n. Does 13 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.56 + -11.86. Let y = h - -14.6. Let s = y - -0.7. Which is smaller: -2 or s?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(3025) + sqrt(3025) + (1*sqrt(3025) - sqrt(3025)) + sqrt(3025))\/sqrt(5))**2 + 5*(sqrt(45) + sqrt(180)\/sqrt(4) + sqrt(45))\/sqrt(9).\nAnswer: 15*sqrt(5) + 5444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*k**4 + 4*k**4 - 6*k**2 + 2*k**3 + 7*k**2 to d + s*k**2 + r*k**4 + u*k + v*k**3 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 2*v**2\/13 + 16*v\/13 - 18\/13 = 0?\nAnswer: -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 16 + 22. Solve 5*d + 6 = -4*h, 0 = -2*d + y*d - 4*h + 6 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 121 = -4*p + 5*g, 4*p - g - 101 = 0. What is the greatest common divisor of 16 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 55*d + 258. What is b(-5)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (2 + (-2)\/(-4))\/(-9*(-160)\/(-1152))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b**3 - 104*b**2 - 36*b + 936 = 0 for b.\nAnswer: -3, 3, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 16*r**2 - 86*r + 618. Give l(13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 j when two letters picked without replacement from {j: 4, l: 1, z: 1, f: 4, w: 1, n: 1}?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -637*r + 1272*r - 635*r - 190 - 151*r**2 wrt r.\nAnswer: -302*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 43933 - 263641\/6. Let f = -12424 + 260977\/21. What is the common denominator of f and l?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t = 10*t + 6 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8691 + 20*y**2 - 18*y**2 - 188*y**3 - 8691.\nAnswer: -188*y**3 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 39 - 23. Suppose 0 = -3*c - 6, s - 5*s - 4*c = r. Let x = s - -6. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than 36053517633.2?\nAnswer: 36053517633.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2213*y**3 - y**2 - 13*y - 7. What is f(-1)?\nAnswer: -2208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -37711*y**5 - 51*y + 232 wrt y?\nAnswer: -754220*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p - 1. Let i(t) = 3*t + 3. Calculate -2*i(w) - 5*o(w).\nAnswer: 4*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/13 in -82\/3, -53, 1\/4, -3\/8, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30108 is divided by 2736.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 6919, -1355, 16 in ascending order.\nAnswer: -1355, 16, 6919","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 + 34*f + 184. What is y(-28)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 75541704 to the power of 1\/2, to the nearest integer?\nAnswer: 8691","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 17*l - 6084. Is l a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 2*d - 10 = 0, -5*v + 2*d = -19. Suppose v*a - 17 = 7. Solve -4*n = h - a - 7, 15 = -5*h - 2*n for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16653 is divided by 64?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d + 2. Let y be r(-8). Suppose y*u = u + 54. Find the third derivative of 414*t**2 - 408*t**2 - 10*t**u - 8*t**6 wrt t.\nAnswer: -2160*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-143)\/506*17610\/5. Let g = c - -995. Find the common denominator of g and -51\/5.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65636016 is divided by 17865.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 1609*n + 3278. Give x(-2).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 183, 635, 1517, 2973, 5147, 8183?\nAnswer: 12225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 714702726?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lnl when three letters picked without replacement from {n: 1, c: 1, f: 2, l: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 0. Let b = 17 - 8. Let w be 4\/(-6)*b\/(-30). Which is bigger: m or w?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 7 = 3. Let z be (1 + (-2436)\/(-8))*c. Suppose -4*q = 0, 2*q + q = -5*u + z. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 36127, 72205, 108187, 144025, 179671, 215077, 250195?\n\"Answer: -8*w**3 + 36134*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.18 + 15.18. Let c = x - 12. Let a = c - 2. Which is smaller: 2 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 374 and 2442?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 + (-40)\/18 - (-272)\/9 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -98 + 108. What is the greatest common divisor of d and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/7 (b) -54\/11 (c) -1 (d) -0.22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11 and 1837?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 25 + 11*v - 25. Let o(a) = a**2 + 5*a. Let x(p) = 25*p - 31*p - 2*p**2 + p**2. Let i(h) = -6*o(h) - 5*x(h). What is t(i(j))?\nAnswer: -11*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1638*i + 1581*i + i**2 - 3*i**2 to the form r + a*i + w*i**2 and give a.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -149*b - 1831. Give v(-14).\nAnswer: 255","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*a**2 - 12*a**2 + 4*a**2)*(-7*a**2 + 3*a**2 - 4*a**2).\nAnswer: -8*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 - 84*c**2 + 262*c + 379. What is q(-87)?\nAnswer: 292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f = 49 + 135. Suppose 17*c + 1242 = f*c. List the prime factors of c.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2 + 1\/2*f**3 + 0 + 1\/2*f.\nAnswer: f*(f + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1905.47 - -1881. Is 2\/7 smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sls when three letters picked without replacement from {d: 11, r: 1, l: 1, s: 2}.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 15\/(-125)*-5*60. Solve 5*q = 4*o - x, 6 - 18 = -2*o + q for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1678 - 472 = 134*c for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 492811358?\nAnswer: 2, 13, 18954283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 7. Let r = 2 - y. Let h be 8\/(-12) + (-22)\/(-24). What is the closest to 0 in h, r, -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-6*(sqrt(304) + 0))**2 + sqrt(304))*1 + 1.\nAnswer: 4*sqrt(19) + 10949","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 326 - 1013161?\nAnswer: -1012532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/8 - 28\/(-8) - -2. Suppose -3*f + s*f - 106 = 0. What is the lowest common multiple of 6 and f?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 2:02 PM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-111)\/18 - (-9)\/54. Let c be 5*4\/15 - (-8)\/b. Let p = 0.86 - -0.14. What is the closest to c in -0.3, p, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of -61*o**3\/3 + 7*o**2 + 49. What is the second derivative of n(p) wrt p?\nAnswer: -122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33541476.\nAnswer: 2, 3, 17, 164419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h. Let i(s) = 155*s. What is i(d(z))?\nAnswer: -310*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1114 by 2.\nAnswer: -557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1246*t + 3384*t - 9260 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**0)**(-4\/13))**(-33) assuming n is positive.\nAnswer: n**(132\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*n - 34*n + 8 = 0. Suppose -n*v + 2 - 2 = 0. Solve v = 4*z - 12 + 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2199 + -1455. Calculate the greatest common divisor of 310 and w.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -3504*l - 77092. Determine d(-22).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-1) - (-1 - 7). Let r(c) be the first derivative of -1\/2*c**i + 0*c**2 + 1\/3*c**3 + 0*c - 2. What is the third derivative of r(h) wrt h?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12861 is divided by 3117.\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69640 + 1566*y**3 - 69637 + 409*y**3.\nAnswer: 1975*y**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/6*a**4 + 0 - 56\/3*a**2 + 20\/3*a**3 + 0*a - 1\/6*a**5 = 0. Calculate a.\nAnswer: -7, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*k + 57 = 5*s - 158, 0 = 3*s - 2*k - 11 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-4) - (-2 - -5 - 6). Suppose 0 = j*l - 4*l + a + 99, l - 72 = 5*a. Let g be 376*((-36)\/(-8) + -4). Calculate the highest common divisor of l and g.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + 14. Suppose -6*f = -3*f + v*t - 57, -f = -t - 23. Let z = f - 13. Is 4 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1036 and 1299886?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1.2 or 2\/271?\nAnswer: 2\/271","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 5*d = 3*d + 2, -4*u - d + 1 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -217 + 233. Sort 3, k, 2.\nAnswer: 2, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 62 and 2386163?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 - -23. Solve -5*y - j*a + a - 16 = 0, -3*y = -5*a - 9 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j - 39 - 11 = -3*c, -2*c = -3*j - 30. Calculate the lowest common multiple of 84 and c.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.00184569 rounded to five dps?\nAnswer: 0.00185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-204171)\/1242 + 157 + 16\/18?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10527 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34574 (base 8) to base 16.\nAnswer: -397c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/29)*w)\/(w**(21\/2)\/w)*(w\/((w\/(w\/(w\/(w**(-18\/7)\/w))))\/w))\/(w*(w\/(w*(w\/w**18)\/w)*w)\/w) assuming w is positive.\nAnswer: w**(-12237\/406)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i**5 - 342*i**4 - 12207*i**3 - 142812*i**2 - 580224*i - 449280 = 0. Calculate i.\nAnswer: -52, -45, -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -54 + 103. Let p(a) = -19*a - 38. Let w be p(-2). Suppose -h + x = 4*n, 5*n + 3*h - 42 - 21 = w. Does 4 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6407876 is divided by 6788?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -691 and -0.21.\nAnswer: 145.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d + 9*d + 112 = 0. List the prime factors of ((-1218)\/d)\/((-1)\/4).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1472 (base 15) in base 16?\nAnswer: -111e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 212*g**2 - 310*g + 620. What is the tens digit of z(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151*j + 149*j - 7 = 5*f, 4*f + 3*j = 12*j + 5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s**0\/s)**(-2\/35)*s**(-5)\/s*s*s**5*(s*s\/(s*((s\/((s**(-5)*s*s)\/s))\/s)\/s))\/(s*s**(-5))*(s\/(s*s**(-2\/5)*s)*s)**(-6) assuming s is positive.\nAnswer: s**(-16\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -8*x - 3*c, -5*c = 5*x + 79 - 94 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -325*i + 818*i = -889*i - 103650 for i.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -8*p + 17. Suppose -p*g - 4*i + 13 = 2*g, -17 = -4*g - i. Solve c + g = 2*b, -2*b - 2*c + 5*c = -3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*b - 29*b - 10*b = -182. Factor 4\/7*t**3 + 4\/7 + 12\/7*t**b + 12\/7*t.\nAnswer: 4*(t + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -96, -67651.\nAnswer: -67651, -96, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of -17*v**6\/2 - v**5\/10 - v**4\/4 - 7*v**2 + 439*v. Find the third derivative of g(d) wrt d.\nAnswer: -6120*d - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-2)*(1 + -7). Suppose 3*a = 2*a + 2*z - 1, 0 = -2*a - z + x. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23\/6, 1\/242, 1 in decreasing order.\nAnswer: 1, 1\/242, -23\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5.252*-1\nAnswer: -5.252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 5*n + 0*n + 4 - 3 - 5 + 110*n**2. Is w(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 194 and 19497?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**2 + 2*i - 2*i)*(2*i - 2*i + 2*i**2) - i**2 + 26 + i + i + 476230*i**4 - 476237*i**4.\nAnswer: -3*i**4 - i**2 + 2*i + 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -0.052?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -141*x**2 - 7*x - 7. Let d(y) = 47*y**2 + 2*y + 2. What is -21*d(s) - 6*r(s)?\nAnswer: -141*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 14, 53, 124, 233, 386, 589?\n\"Answer: a**3 + 10*a**2 + 2*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (((-8645)\/357 - -14) + 5\/15).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millimeter in micrometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*(o**(4\/9)*o*o*o)\/o*o*o*o*o**(-11) assuming o is positive.\nAnswer: o**(-41\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + (2 + -3 - -5). Let r be (-185)\/(-35) - 4\/14. Suppose 0 = r*d - 19 - 1. Solve q*g + y = d*y, -2 = 2*g - y for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of 0*q**2 + 71\/12*q**4 + q + 1\/10*q**6 + 0*q**5 - 8\/21*q**7 + 0*q**3 + 4. What is the third derivative of m(u) wrt u?\nAnswer: -960*u**2 + 72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1006\/6 - 2\/(-6)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 1 - (-5 + 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**2\/13 + 12*r\/13 - 16\/13 = 0. Calculate r.\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + (3\/6*2 - 50). Let r = c - -94. Calculate the remainder when r is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*-5\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 1053251 - 1053251 + 428*u. Let w(g) = 6*g. Calculate w(b(c)).\nAnswer: 2568*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -828?\nAnswer: -826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 + 273\/105 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of -2*t + 2\/3*t**3 + 0 + 0*t**2. Let y(j) = -2*j**2. Determine u(y(q)).\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -1.93. Let w = 0.17 + p. Is w < 3\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 40, 55, 68, 79, 88?\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-8))**(-14) assuming t is positive.\nAnswer: t**112","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 44.9 + -42. Let u = -2.8 + k. Which is the fourth biggest value? (a) u (b) -1\/3 (c) 1\/2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (43\/((-12384)\/256))\/((-8)\/(-12))\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -73433, -73452, -73469, -73484, -73497?\n\"Answer: v**2 - 22*v - 73412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.03 + 1.47. Let s = -2026\/3 - -676. Let a = 0.0872 + -0.1872. What is the smallest value in s, z, a, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 12:41 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1318ca2 - -4?\nAnswer: 1318ca6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/4 - 5721\/(-12). Let k = c - 262. Is 22 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 0*w + 0*w)*(370*w**2 - 739*w**2 + 354*w**2 + 1).\nAnswer: 15*w**3 - w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -5*t - 201. Let h(k) = 33*k + 1404. Give -4*h(z) - 27*w(z).\nAnswer: 3*z - 189","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 489 - -5. Suppose 486 = 5*m - y. What are the prime factors of m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((3 + sqrt(304) + 1)*3)**2 + -3 + -2*(1 + sqrt(2299))**2.\nAnswer: -1727 + 244*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 78770 to the power of 1\/2, to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*g = 11*g - 9*g. Let n = -4.96 - 0.04. Let a be (10 - 10) + 2\/(-4). What is the closest to a in 5, g, n?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(4*3\/3)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 10*j - 3 = 0. Is (-3)\/(j\/4 + (-2998)\/(-12088)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 16*f**2 - 21*f - 10. Let q(o) = o**2 - 6*o - 4. Let t(s) = -7*s - 5. Let u(k) = 3*q(k) - 2*t(k). Let d(b) = -2*r(b) + 11*u(b). Calculate d(-5).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5\/3 (b) 0.319 (c) -3\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26 + -32. Let l = b - -3. Is -3 < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15280, -16299, -17318, -18337, -19356?\nAnswer: -20375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: -55428756 divided by -4\nAnswer: 13857189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 5*p**2 - 4. Let l(u) = -4*u**2 + 3. Let k(j) = -3*b(j) - 4*l(j). Let d(v) = 19*v**2 + 21*v**2 + 22*v**2 + 20*v**2 - 79*v**2. Give d(k(x)).\nAnswer: 3*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 335109 <= 335000?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j**3 + 0 + 131*j + 0 - 128*j + 3*j**4 to the form o + g*j**3 + r*j**2 + n*j**4 + v*j and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1323535.\nAnswer: 5, 17, 23, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + -1 - (64 - 108 - -42).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 18831199843301 + 5\nAnswer: 18831199843306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.042745 less than -0.021?\nAnswer: -0.063745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, i: 2, y: 6, u: 3, g: 4}. Give prob of sequence igyg.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u**2 - 25 - 4 + 82*u**3 - 80*u**3)*((-3 + 3 + u)*(-u + 5*u - 3*u) + (-4*u + 3*u + 0*u)*(0*u - 2*u - 2*u)).\nAnswer: 10*u**5 - 20*u**4 - 145*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 + -139 + (48 - 29) - (1 + -8).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1158\/6 - (-2 - -1). Let u = -3684\/19 + j. Which is bigger: u or -2\/7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ri when two letters picked without replacement from {n: 5, r: 3, i: 1}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -160 and -0.1?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -14*n**2 + 8*n. Let w(l) = l**2 + l. Determine 4*w(x) - y(x).\nAnswer: 18*x**2 - 4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 55\/3*196\/63700*-195.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 600.6406491 rounded to 2 decimal places?\nAnswer: 600.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 + 20. Sort g, -2, -4 in ascending order.\nAnswer: -4, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + x - 0*x + 310, -2*j + 137 = -3*x. Let q = 58 - j. Let i = -2 + 1. Is q < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 144 and 18990?\nAnswer: 151920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4274, 4253, 4210, 4139, 4034, 3889, 3698?\n\"Answer: -m**3 - 5*m**2 + m + 4279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -1. Suppose 486 - 66 = 12*q. Suppose x = -5*n + 45, 16*x - 14*x = n + q. Is x equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2694 = -3*x + 3*k, -5*k - 7184 = -72*x + 64*x. What is the remainder when x is divided by 53?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 10:44 AM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36862 and 345?\nAnswer: 12717390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5552, -10853, -15986, -20945, -25724?\n\"Answer: f**3 + 78*f**2 - 5542*f - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 3 - 15 = 0. Is ((-2)\/x)\/(1\/(-24)) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 14 = 2*t - 4, 4*t - 28 = -2*r. What is the units digit of (0 - 6)*24*r\/(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -5*s**2 + 1577*s + 12. Let i(y) = y**2 - 2. Calculate b(c) + 6*i(c).\nAnswer: c**2 + 1577*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -0*l + 2*s + 11, -2*l - 2 = -4*s. Let o(r) = r**3 + r**2 + 3*r - 1. Let p(v) = v**3 + 2*v. What is l*p(t) - 2*o(t)?\nAnswer: t**3 - 2*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 180, 224, 290, 384, 512, 680, 894?\nAnswer: 1160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -389\/12 equal to -33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10641 and 3439947993?\nAnswer: 10641","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 58 - 29. What is the remainder when s is divided by 4\/26 - (-640)\/65?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 201.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q + 18 + 9 = 0. Put q, 5, 52 in decreasing order.\nAnswer: 52, 5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 2*w**4\/11 - 1680*w**3\/11 + 529200*w**2\/11 - 74088000*w\/11 + 3889620000\/11 = 0?\nAnswer: 210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9177491?\nAnswer: 9177491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 - 10*d + 10. Let i be f(-10). Suppose -15*u + i*u = -50. Solve 2*j - 10 = -2*j - 3*r, 0 = -5*r + u for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 304*q**4 - 5*q**3 + 369*q**2 + 435*q + 3398 wrt q.\nAnswer: 3648*q**2 - 30*q + 738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 5476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -144 and -461.\nAnswer: 66384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jpppgjgpppp. Give prob of picking 2 j.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 181889 minus 0?\nAnswer: 181889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 7 = -1. Suppose 5*k - a = 130000, -l*k - 4*a = a - 52000. What is k rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 756 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/15 + ((-105)\/100)\/(6\/(-24)). Solve 0 = h - 5*d + w, 4*h - d - 4 = 5*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.2872 rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yolllmlllmyyoym. What is prob of sequence ymoo?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 217364 is divided by 2618.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145737 is divided by 2602?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30 - (40 + -20)) + (-35 + 35 - (52 - -1))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 27 or 22?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.02 (b) 5 (c) 0.05 (d) 3\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -4 (c) 4\/9 (d) -545\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25*q**3*r**2 - 2*q**3*r - 122*q**2 - q*r**2 + 20659*r**2 wrt q?\nAnswer: -150*q*r**2 - 12*q*r - 244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -363*y + 317 = -6943 for y.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -209*f + 1113 - 423 = 21*f. Solve -l - 2*l + 11 = -v, 2*l - 12 = f*v for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -8*k. Let o(z) be the third derivative of z**4\/12 - 19*z**3\/6 + 9836*z**2. Give o(m(y)).\nAnswer: -16*y - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -277*y**3 - 3*y**2 - 40*y - 14. What is the ten thousands digit of r(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 - 10. Suppose -3*j + 87 = s*p - 100, 2*j = 4*p + 154. Suppose 2*v - j = 41. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7350 - -11?\nAnswer: -7337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/300*2187\/(-54) + -1)*-35.\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-4) - (-1)\/2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.752 and -0.42.\nAnswer: -1.99584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 577, 4685, 15865, 37663, 73625?\n\"Answer: 591*p**3 - 10*p**2 + p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 445 = 9*f. Suppose i + 109 = 4*m, 3*i = m - 5*m + f. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 PM and 9:17 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.443? (a) 4 (b) -1\/19 (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -85*g - 286. What is the thousands digit of x(-33)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -74\/5 + 676\/45. Let b = n + -5\/9. Which is smaller: b or 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 2*r + 4 - 15 = 0, y - r = -5 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*n - 3*n + 3*n + 2*n + 3*n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -205*i + 101*i**2 + 411*i + 38*i**2 - 207*i.\nAnswer: 139*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**4*h)\/h*(h\/h**(1\/4))\/h*(h**1\/h)**(13\/5) assuming h is positive.\nAnswer: h**(19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -1\/2, -1, -0.1, 0.15?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05025307706 to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 641 + -641. Let o be (-14)\/(-8) - (-2)\/8. Let c(t) = -t**2 + 2*t. Let w be c(o). Solve 0*u - 2*u - 4*i + 6 = l, w = -u + 2*i - 13 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**5 - 3*u**5 + 0*u**5 + (4 - 1 - 1)*(u**5 - u**2 + u**2) + 4*u - 4*u + 2*u**5 + u**5 - 2*u**5 + 2*u**5 - 2 - u**5 + 2 + 13*u**5 + 14*u**5 + 3*u**5.\nAnswer: 31*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1494540341?\nAnswer: 7, 431, 599, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 - b - 24.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15979, 63875, 143693, 255433, 399095?\nAnswer: 574679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 - 1. Let m(f) be the third derivative of f**5\/20 - f**3\/3 - 17*f**2. Suppose 1 = -4*v + 3*z - 0*z, 0 = v - 5*z + 13. Give v*m(r) - 5*g(r).\nAnswer: r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.0944655 - 84586.\nAnswer: -84587.0944655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/sqrt(75) - sqrt(5))*-5 + sqrt(10)\/(sqrt(50) + sqrt(2)) + (sqrt(125)*2)**2.\nAnswer: 25*sqrt(5)\/6 + 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90880 divided by -284.\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95291 is divided by 1698?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(-5) - 0 - -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = -2*h - 2 + 18, -3*r - 12 = 2*h for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2*m + 21 = 2*m, -5*s + 27 = 4*m. Find the second derivative of 0*g + s*g**5 + 4*g - 2*g wrt g.\nAnswer: 60*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {n: 4, s: 2, h: 2, u: 8}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/(-6) - (-16)\/24. Let w = 147 + -144. Let y be -30*(w - (-17)\/(-5)). Solve -4*r = y, -5*r = x + k*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/((-3510)\/(-8)))\/((-45)\/((-7020)\/(-104))).\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*a - 5*a - 3*a**2 - 2*a + 2*a**2 + 2*a + (-a + 2*a + a)*(a - 4*a + 4*a).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w**2 + w + 3. Let k(p) = 3*p**2 + 2*p - 1. Let r(f) = f + 1. Let a(o) = -k(o) + 4*r(o). Give -4*a(b) + 7*g(b).\nAnswer: -2*b**2 - b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/7))**33\/(((b**(1\/2)*b)\/b)\/b**(1\/2)))\/((b**(-2))**(-43)\/(b**(-2))**26) assuming b is positive.\nAnswer: b**(-1032\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 3*w + 65 = 0. Let o be w\/3 + 4\/6. Calculate the highest common divisor of 2 and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 6014 = -3*k, 5*q - 2*k = -6*k + 15035. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -2*z - 10*g - 15, -4*z - 24 = 4*g. Is 1 at least z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 802*b**2 + 96*b wrt b?\nAnswer: 1604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence znzz when four letters picked without replacement from nznnnnznnnnzznnz?\nAnswer: 11\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 48896*u**3 + 2*u + 6424?\nAnswer: 293376*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -41.8 - -2.8. Let n = 54 + -19. Let u = i + n. What is the smallest value in -0.8, 5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - -1818912133305.\nAnswer: 1818912133304.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((244\/1)\/(573\/(-191)))\/(-1*(-28)\/(-21)).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1446067847 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7612858 and 88?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mpj when three letters picked without replacement from opppmmjypj.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a factor of 1534087?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of x**4\/4 - 127*x**2. Let p(n) = n + n**2 - n. What is p(j(f))?\nAnswer: 36*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 229153 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 13*f - 11*f = 9, -3*k - f = -4. Sort 2, 1, k, 5, -11.\nAnswer: -11, k, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = -1446*n + 1445*n - 70, -13*n = 2*o - 15 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + -2b?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-21)\/(1 - (-8)\/(-9)). Let k be 6\/(-24) - a\/4. Let s be (3\/18)\/((-17)\/(-4794)). What is the greatest common divisor of s and k?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 - (13 - (26 + -2))\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4831, 16, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2873668 and 7308?\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 83 + 79 = 0. Sort -16, 5, -1, d in descending order.\nAnswer: 5, d, -1, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mu when two letters picked without replacement from hhuhqhumfm?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -509908567 from -377.\nAnswer: 509908190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*d + 202 = 136. Put -5, -20, d, 4, 0 in decreasing order.\nAnswer: 4, 0, d, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -325 = -5*u + 3*u - 23*u for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jf when two letters picked without replacement from {j: 1, h: 7, f: 1}?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t**3 + 183*t**2 + 2503*t - 6443. Calculate h(-74).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c**2 + 38*c**4 - 112*c**4 + 7 - 3 - 2 wrt c.\nAnswer: -1776*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1784, -1755, -1714, -1661, -1596, -1519, -1430?\nAnswer: -1329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 594 divide 4913588?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11096?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -4. Is (-189)\/(-4) - r\/8 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 33 + 125a309?\nAnswer: 125a341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**5 - 10380*s**4\/7 - 2607244*s**3\/7 - 231956136*s**2\/7 - 365277114*s - 4878628380\/7 = 0. What is s?\nAnswer: -243, -10, -17\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - 21. Let j(s) = -s**2 - 11*s - 2. List the prime factors of j(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 5 (b) -0.4 (c) -1\/164 (d) -340\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3090, 3229, 3608, 4347, 5566, 7385, 9924, 13303?\n\"Answer: 20*b**3 - b + 3071","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-522)\/(-54)*153\/51?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 0*a = 0. Let r(d) = 2*d + 17. Let y be r(-6). Solve 5 = y*j - a for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -5*i**2 + 202785*i - 405550 = 0.\nAnswer: 2, 40555","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.92 - 0.08. Let d = 0.96 - 1. Let j = -12995 + 12995.3. Which is the biggest value? (a) d (b) y (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 6*b**2 - 242*b - 74. Calculate the remainder when 3 + 1 + (2 - 2088\/(-6)) is divided by r(41).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*1*sqrt(114) - (sqrt(114)*-1*-2 - sqrt(114)))\/(5*(sqrt(6) - (sqrt(6) + 2*sqrt(216)) - -3*sqrt(24))).\nAnswer: sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1057.\nAnswer: 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24 - -18. Let v(g) = -41*g + 26. Let t be v(2). List the prime factors of 3 + -1 - ((t - a) + -4).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 32 = -4*d. Let f be (d\/1)\/((-12)\/(-9)). Solve -f*s = -3 + 6 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210*h = -206*h - 360. Calculate the greatest common factor of 63 and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**4 + 18*f**3 - 2*f**2 - 15*f + 16. Let p(x) = -x**4 - 53*x**3 + 7*x**2 + 45*x - 46. Let j(v) = -8*h(v) - 3*p(v). Factor j(b).\nAnswer: -5*(b - 2)*(b - 1)**2*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2. Let i(r) = -r**3 - 8*r**2 - 3*r - 39. Let k(v) = -i(v) + 20*z(v). Determine k(-7).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15463931?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, i: 1, w: 1, l: 2, e: 5}. Give prob of sequence mm.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 764?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10980968.\nAnswer: 2, 1372621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 106, -6669, -1 in descending order.\nAnswer: 106, 3, -1, -6669","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.15 - -0.15. Which is the third biggest value? (a) q (b) -0.04 (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a millimeter in micrometers?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-1 + sqrt(176))*6 + 5)**2.\nAnswer: -48*sqrt(11) + 6337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1637 a factor of 48537863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1086336\/(-2668))\/(-41) + 10*-1.\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 727313687 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 + 26. Let h = w - -2.75. Let t = h - 2.74871. What is t rounded to four decimal places?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-92)\/(-460)*2*-74 - 3\/(-5). Suppose 4*f + 2*v = -3*v - 133, f = -4*v - 47. Is d less than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*z**2 + 13*z**2 + 6*z**4 - 3*z**4 - 2*z - 1 - z**3 + z**4 + 5*z**2 to w*z + d*z**4 + f*z**3 + y + a*z**2 and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 469\/2109 + -1\/6327. What is the closest to n in -46, -4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2768, 4497, 9120, 18083, 32832, 54813?\n\"Answer: 241*o**3 + o**2 + 39*o + 2487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-6)*3\/(-113). Let w = -1195 + 1195. Which is smaller: m or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**20*n**(5\/6)*n\/((n*n**7)\/n)*((n*(n*(n\/((n*n*n\/(n\/((n\/(n**(-22)*n))\/n)*n)*n)\/n))\/n)\/n)\/n)\/n*n assuming n is positive.\nAnswer: n**(-43\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 266 a factor of 91630?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -99 (base 10) to base 7\nAnswer: -201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51 (base 7) to base 4.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 88541 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 + 0.6. Let b = 12.606 - 12.606. What is the closest to 2 in b, i, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of 5*y**2\/2 + 18*y - 22. List the prime factors of j(4).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -14*o + 36. Let z(l) = -9*l + 24. Suppose 0 = -36*q + 2183 - 2363. Determine q*n(k) + 8*z(k).\nAnswer: -2*k + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a = 2*a - 1035100. Round a to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -72, -138, -198, -252?\n\"Answer: 3*b**2 - 75*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -332955, -665882, -998797, -1331694, -1664567, -1997410?\n\"Answer: z**3 - 332934*z - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 58*g + 81 - 72 - 5 - 5*g**2 in the form l + c*g + h*g**2 and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 112829\/2786 + 2\/1393. Let r = -39 + y. What is the second biggest value in -5\/9, r, -5?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) -2\/7 (c) -3 (d) 1\/7 (e) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 574 is divided by 138.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - -52?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*h**5*u + 3828*h**4*u + h**2*u - 1232*h**2 wrt h?\nAnswer: 120*h**2*u + 91872*h*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3485 and -0.82193.\nAnswer: 2864.42605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2 (b) 2\/3 (c) 0.04 (d) -34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-223935)\/90 - 2\/(-12). Let u be (-22)\/121 - t\/11. Suppose 0 = k + 1, 4*k = 3*n + 12 - u. Is 14 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - j - 8 + 3, 17 = 5*y - 3*j. Let q be -1*y\/3*-1. Sort q, -5\/4, 0 in descending order.\nAnswer: q, 0, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, m: 2, s: 3, x: 4}. Give prob of picking 1 s, 2 d, and 1 x.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2344 divided by -4722\nAnswer: 1172\/2361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-48))\/(((-330)\/(-180))\/11).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of -27*b - 77\/12*b**4 + 0*b**2 + 0*b**3 - 1\/6*b**7 + 0 + 0*b**6 + 0*b**5. What is the third derivative of q(y) wrt y?\nAnswer: -420*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6602461 is divided by 74?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7172755?\nAnswer: 5, 53, 27067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from efekdhktkff. Give prob of sequence hd.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 937?\nAnswer: 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iijiijijiiiiiiiiijii. What is prob of sequence ij?\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (1 - (9 + -4))) + -14?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24032*s - 3*m + 23 = 24034*s, 4*m - 8 = 3*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1183204 not equal to 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3*l - 1857 = -3*q, -5*q + 5*l = -2320. List the prime factors of q.\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 4:05 PM?\nAnswer: 1:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 6*g**2 - g + 100. Let l be ((-1)\/(-3))\/((-109)\/27 + 4). What is the tens digit of s(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3297, -12383, -37037, -85041, -164177?\nAnswer: -282227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-116)\/(-36) - 1\/18*4. Suppose -4319 = -4*o + s, -4*o + 1744 = -k*s - 2565. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -235*x + 610*x - 1 + 1 + 563*x in the form o + s*x and give s.\nAnswer: 938","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 2 (c) -0.3 (d) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1200 (base 3) to base 11.\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-27))**(-3\/16)\/(u**(-3\/5)*(u*u\/u**(-2))\/u*u) assuming u is positive.\nAnswer: u**(133\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 6*f - 4. Let o(k) = 13*k - 9. Let l(i) = 4*o(i) - 9*w(i). Suppose 2*m + 2*m + 62 = 3*z, 2*z = -4*m + 28. Let q = 17 - z. Give l(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5957, -5956, -5955?\nAnswer: -5954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2189, -2179, -2163, -2141, -2113, -2079, -2039?\n\"Answer: 3*l**2 + l - 2193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -1029*y - 2. Let i(c) = 4*c. Determine -4*i(n) + z(n).\nAnswer: -1045*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 31, 51, 79?\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o. Let k be d(0). Suppose -3*r + k*r = -93. Suppose 5*y - r = -f, 2*y + y - 4*f = 14. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 3*n = 8. Suppose 0 = -n*w + 2*w + 10. Solve a - w*a = 3*h - 26, 2*a - 4*h - 2 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9498 + 16035. What is the thousands digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -78263109*u. Let h(w) = w. Determine i(h(f)).\nAnswer: -78263109*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -258 = 5*k + 81*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 6241, 2\/3, 5, -263 in increasing order.\nAnswer: -263, 2\/3, 5, 6241","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-75831)\/(-3297) - (-2 - (-1454)\/58)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-44)\/(-8) + -6)*(-8)\/2. Suppose -10*n + y*n + 296 = 0. Suppose 3*w - 3*x + 6 = 42, 2*x = -3*w + 41. What is the remainder when n is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*s**3 + 99*s**2 - 2835*s\/8 - 3675\/8.\nAnswer: -3*(s + 1)*(4*s - 35)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15.9 + -17. Let b = p + 1. Let d be (4 - (-192)\/(-42))\/(3 - 1). What is the nearest to -0.1 in b, -1\/4, d?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(243) + sqrt(243) + -3 + 3.\nAnswer: 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/9 and 58\/33?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3762838693 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 10, 43, 120, 259, 478, 795, 1228, 1795?\n\"Answer: 3*f**3 + 4*f**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 0, -k - 1603 = -2*g + 1321. What is the highest common factor of g and 86?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17004 and 780?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67304124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26 + -15. Let t = -10019\/11 + 911. Which is smaller: l or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 402328 and 16.\nAnswer: 804656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of ((-291)\/2)\/(-2 - 5\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28 - -39. Let d = 7 + -5. Solve 2*c + 0 = -d*l + 2, l + f = -5*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 - 23*i**2 - 1670*i + 118. Give n(-31).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(117) - (-4*sqrt(117) + sqrt(117))) + sqrt(117))\/sqrt(9) + 5*sqrt(208))*-4.\nAnswer: -100*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9819 is divided by 1962?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 + (1 - (3 - 11)) + -3 + 55 + -59?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -61 + 63. Let u be (-4)\/8 - 7\/2. Let b be (88\/6)\/(u\/(-6)). Solve -h*q - 4*d + 37 = -7*q, 5*q + d = -b for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 10*n**2. Let c(m) be the third derivative of 3*m**5\/10 + 9*m**2 + 4*m. Give c(v(l)).\nAnswer: 1800*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7274 - (1 + (3 - 3)). Let v = w + 4427. What is v rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.02120963832 and -2376?\nAnswer: 2375.97879036168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**3 + 25*w**2 - 10*w - 40.\nAnswer: -5*(w - 4)*(w - 2)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1290474 to the power of 1\/3, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven quarters of a hour?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 81?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.4 + -2.4. Let l = -20 - -19.4. Let v = 0.5 + l. Which is the nearest to v? (a) -4 (b) p (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of h*u**4 + h*u**3 - 5373*h*u**2 + h*u - 46*h - 463016*u**4 - 2*u**3 + u wrt u.\nAnswer: 24*h*u + 6*h - 11112384*u - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 167711?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of 15*k**4\/8 + k**3\/3 + 16*k**2. Does 40 divide s(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -8*o**2 - o + 2818. Let y be v(0). Suppose -2302 - y = -16*r. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Work out -0.08 * 6.4.\nAnswer: -0.512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b + 43. Let o be v(0). Let h = -15 + o. Suppose 3*l + 5*m - h = 9, 5*l + m = 25. Solve -5 - 1 = -2*w + j, -l*j = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -6. Let g be (-1 + (-201)\/h)*4\/(-6). Let v = g + 67. Is v <= 22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-25 + (2 + (1 - 0) - -2) + -8)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.96 + 0.04. What is the nearest to -1\/4 in c, 0.3, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21465903233 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*r**2 + 1851*r + 264.\nAnswer: 3*(r + 88)*(7*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.434147 in -6\/7, 4, 0.6?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 + 13 = 9*n - 6*n for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -90 + 110. Let c be i\/1 - (-13)\/(104\/32). Suppose 0 = -5*k - 2*y + 3*y + c, -3*k + 4 = 2*y. Solve -t + 4*t = -3*r, -k*t - 30 = -2*r for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22920362 to the power of 1\/5, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1284 a factor of 94816980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 + 2. Let a = -4 + y. Does 7 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -736, -1463, -2188, -2911, -3632?\nAnswer: -4351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cbb when three letters picked without replacement from ccbcbccccccccccbbc?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 0.1, -41\/32, -0.3, -5.\nAnswer: -5, -41\/32, -0.3, 0.1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 348\/(-21)*7574\/(-2164).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -190 + 190 - 18*p + (-1 + p + 1)*(4 - 3 - 2) + 0 + 0 + 4*p.\nAnswer: -15*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of 877*h**4\/6 - 3351*h**2 - 501*h. Find the first derivative of w(x) wrt x.\nAnswer: 3508*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (240\/(-84))\/(-2 + (-24)\/(-14)). Suppose 10 = -5*k, 5*k + 3 - 43 = -5*c. Let z(j) = -j + q - c. Let n(b) = 2*b. Give n(z(f)).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from bbbobobbbbbbb?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 265708?\nAnswer: 2, 181, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of 0 - 1\/24*w**4 + 0*w + 2*w**2 - 5\/6*w**3. Let q be t(-5). Solve q = -4*d - 12 - 4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of -11*o**5\/4 + 745*o**4\/6 - 2935*o**3\/6 + 750*o**2 + 5*o - 102. Find d such that r(d) = 0.\nAnswer: 1, 12\/11, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7110*b**3*k**2*m**2 + b**3*k**2 + 2*b**3*k*m**2 + 70*b**3*k*m + 57*b**2*k wrt k?\nAnswer: -14220*b**3*m**2 + 2*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34 - -12) + 22 - -30?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 2 + (-7 - -8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 469513770 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*h + 29*h + k = -645, -2*h + 295 = 5*k. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**4\/9 + 98*w**3\/9 + 2*w**2\/9 - 98*w\/9 = 0. What is w?\nAnswer: -1, 0, 1, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 + 16*a - 4. Let c be i(15). Factor -c + 6*v**2 + 1 - v**2 + 5*v.\nAnswer: 5*(v - 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8.402 + -9.372. Which is the nearest to 0? (a) 0.2 (b) k (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1979 is divided by 141.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a**2 - 6*a + 1. Let d be f(5). Let h = d + -19. Let i(s) = s**3 - 3*s**2 - s - 5. Calculate the lowest common multiple of h and i(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 49 = 2*u - 32, 40 = 5*u - 4*t for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b64 (base 14) to base 7.\nAnswer: -6354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z. Let c(w) = 8*w + 1. Let m(y) = y**2 + 2*y + 1. Let h be m(-2). Let i(g) = 2114*g - 16918. Let p be i(8). Give h*c(r) + p*o(r).\nAnswer: 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/17? (a) 0 (b) 2\/9 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 5:42 PM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 15047738021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -74*s + 8224 - 8224 - 77*s as o*s + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117*r - 2 - 474*r + 114*r + 119*r - 1 + 122*r.\nAnswer: -2*r - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3. Let a(x) = 9*x + 1 + 7*x**3 - 7*x**2 - 4 - 1. Let w(d) = a(d) - 6*c(d). Is w(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 9*d + 115 = 0. List the prime factors of d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1631 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2121927791 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21805*z**2 + z - 1 + 21808*z**2 - 11*z**4 - 3*z + 3*z**3 to t + x*z**4 + w*z**2 + d*z + f*z**3 and give x.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*(1\/2)\/1. Which is smaller: -2\/39 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of -j**5\/80 - 5*j**4\/24 + 7*j**3\/24 + 49*j**2\/2 - 2*j - 558. Factor s(g).\nAnswer: -(g - 4)*(g + 7)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 24 + 1 + 0\/1. Solve 2*i = 15 - b, -5*a - i - 30 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1d5 + 10cc3?\nAnswer: 10add","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -z - y, -8*z + 10*z = -4*y - 22. Let n(v) be the second derivative of v**5\/20 + 7*v**4\/12 - 7*v**2\/2 + 6*v. Determine n(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 415*u - 396*u = -655*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m = 52*m - 212 - 396. Solve m*v + 7*v = 92 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -44*t**2 - 12*t + 28. Let z be n(2). What is the common denominator of 447*1\/z*2 + 4 and 73\/9?\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 2:46 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -5*r - 12, -49 = -3*q - 2*r. Calculate the highest common factor of q and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/35*-2*(-85)\/(-119)*-14.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.13, -2, -4\/23, 0.5.\nAnswer: -2, -4\/23, -0.13, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1643977 less than or equal to 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 3*r**5 + 31*r**4 + 56*r**3 - 4*r**2 - 32*r = 0.\nAnswer: -8, -2, -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 25 = 3*s. Let y = 3 + s. What is the units digit of (-4)\/(-6)*(-3)\/y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4361?\nAnswer: 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*c**3 + c - 15*c**3 - 5*c**3 - 1 in the form n + l*c**3 + i*c**2 + y*c and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -129 - -133. Let m(v) be the third derivative of -1\/6*v**3 - 1\/8*v**i + 0 + 5*v**2 + 0*v. Differentiate m(a) with respect to a.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 1 - 5 = 0, 4*o - 2*l = 0. Solve -6*g = -o*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 - r. Let n(g) = 4*g**2 - 3*g + 10. Suppose 24*k = 25*k + 20*k - 21. Calculate k*n(c) - 3*i(c).\nAnswer: c**2 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 e when two letters picked without replacement from {s: 2, e: 7}.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23441 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 264582 is divided by 66140.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = r - 10. Suppose 0*c - 3*c = -r. What is the second derivative of m**4 + 9*m**c - 2*m**5 - 11*m - m**4 wrt m?\nAnswer: 140*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 288565262 to the power of 1\/2, to the nearest integer?\nAnswer: 16987","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3810 is divided by 70.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k**2 - k - 5. Let a(r) = 3*r**2 - 11 + 0*r**2 + r**2 - 2*r. Calculate 6*a(v) - 13*t(v).\nAnswer: -2*v**2 + v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 e when two letters picked without replacement from {p: 1, c: 5, e: 1, f: 3}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 0. Let o = z + 3. Suppose -219 = o*v - 3*k, 3*v + 104 = 2*k - 114. Round v to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1191627 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3268257644, -3268257643, -3268257642, -3268257641?\nAnswer: -3268257640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 - 18*k - 15. Give f(-7).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -297 - -302. Suppose 4*y = q + 355, 0 = -h*y + 2*q + 379 + 67. What is the remainder when y is divided by 25?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1213*p**2 - 285865 + 29*p**2 + 285856)*(-2*p**3 - 3*p + 3*p).\nAnswer: -2484*p**5 + 18*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -32 + 22. Let u(w) = -w**3 + 2*w**2 + w + 1. Let h be u(3). Let z = h - j. What are the prime factors of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.30539 and 0.194.\nAnswer: -0.05924566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -521\/350 - 2\/175. Let x = 21413 - 21414. What is the second biggest value in -37, x, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1489141, -1489146, -1489161, -1489192, -1489245, -1489326, -1489441?\nAnswer: -1489596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/x**0))**0\/((x\/x**(1\/5))\/(x*((x\/(x**1\/x))\/x)\/x*x)) assuming x is positive.\nAnswer: x**(1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*b**6 + 17*b**4 - 5*b**2 - 17*b**4 - 12*b**6 wrt b.\nAnswer: -1200*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -19 (b) 2\/3 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*y**4 + 84*y**3 + 288*y**2 = 0. What is y?\nAnswer: -3, 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 5*l + 44 = 0, 0*l - 2*l + 32 = 3*f. Let t = 9 - f. Which is smaller: t or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 - 7*f - 3. Give c(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 17, x: 3}. Give prob of picking 2 g.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -953 or 1.2?\nAnswer: -953","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - -0.94?\nAnswer: -11.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mjnjmmmjmjmmm. What is prob of picking 2 m, 1 j, and 1 n?\nAnswer: 112\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 c when two letters picked without replacement from {h: 2, u: 1, c: 3, z: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(204)\/(sqrt(192)*-3).\nAnswer: -sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -422 and 1?\nAnswer: -422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 6*i + 15. Calculate the remainder when 1\/((-2)\/i) + 47 is divided by 2 + (23 - 1) + 2.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4830938, -4830939, -4830940, -4830941, -4830942, -4830943?\nAnswer: -4830944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 2\/5 (c) 317 (d) 38\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = -52*d + 327, -114*d + 35 = -109*d - s for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1976? (a) 0.4 (b) 4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (115\/(-23))\/((-4*3\/(-60))\/(-1))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 3*c**2 - 9. Give a(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00008182 rounded to five decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 80 - 78 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 AM and 6:54 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*o - 13 = -5*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5307614 and 19916?\nAnswer: 10615228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 16\/4*5\/2. Let i(t) = t**3 + 6*t**2 + 2*t + 7. Let z(g) = -5*g + 69. Let f be z(15). Let l be i(f). Put b, l, 0 in descending order.\nAnswer: b, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/15*2*15\/(-780)*20.\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) -12 (b) -1 (c) -58\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -40 + 43. Suppose -i*v + 2*y = 1, -5*y + 10 = 2*v - 2. Suppose 3*s + 15 - 45 = 3*n, 2*s + 3*n - 5 = 0. Solve 3*g = z + 5, -2*z + s = -v for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 121041 and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.1636911 and -55299?\nAnswer: 55299.1636911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.116 * 0.4\nAnswer: 0.0464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 19860.46 and 18.7.\nAnswer: 371390.602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 8) + (-2 - 2) + (-7 - -8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -3462*v**3 + 6*v**2. Let z(d) = 10389*d**3 - 15*d**2. Give 8*i(l) + 3*z(l).\nAnswer: 3471*l**3 + 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-464)\/(-6) - (16\/12 + -1). Let w = u - 25. Suppose r + 5*k = k + w, 0 = -3*r + 2*k + 128. Is r a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*p - 2*p, v - 3*p - 7 = 0. Let a = -22 + 27. Solve 2*y - 6 = -c + 5*y, a*y = -c - v for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 56129272?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(77)*-3 - sqrt(77))*6*-4)\/((sqrt(11) + sqrt(11) + sqrt(495)\/sqrt(5) + sqrt(704) + -1*sqrt(704))*-2).\nAnswer: -144*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/(-2) - 112\/(-192))*(-16)\/6. What is the smallest value in -5, -2\/5, -3, 1, f?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, d: 1, g: 1, c: 2, j: 5}. Give prob of picking 1 f and 1 d.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -5*h + 5 + 15*h - 3*h - 6*h. Let x = 17 + -20. Let f(v) = 1 + 4 + v + 1. Calculate x*f(s) + 4*o(s).\nAnswer: s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2984496675.\nAnswer: 3, 5, 23, 61, 113, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -9745, -19484, -29223, -38962?\n\"Answer: -9739*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - q = 16, 2*m = 5*m + 2*q - 1. Let x be 0 + -8 - (1 - 11). Let l be m\/x*104\/(-39). Which is the closest to -3? (a) 0.2 (b) -0.5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -3 + 2 - (2 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 t when three letters picked without replacement from {s: 1, l: 1, d: 1, t: 1, g: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11318 by 31.\nAnswer: 11318\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 6, p: 2, f: 1, i: 2, r: 5}. What is prob of sequence ini?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - j + 10 = 59, 0 = 5*o + 2*j - 259. Suppose -2*m + o = -3. Let g = m - 3. Is 6 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of n**3*t**3 + 25*n**3*t**2 + 59*n**3*t - 5*n**3 + 4627*n**2*t**3 - n**2*t**2 - 2*t**3 - t**2 wrt n.\nAnswer: 6*t**3 + 150*t**2 + 354*t - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42207, 84414, 126621, 168828?\nAnswer: 211035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + b0ab?\nAnswer: b0ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/28)\/(2*(-2)\/(-16))*-22.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 96*g**2 + 17*g**4 - 2*g**3 - 255*g**2 + 84*g**2 + 85*g**2 to k + j*g**4 + w*g + a*g**3 + n*g**2 and give n.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -65350 - -65348. Suppose -3*j + 10 + 5 = 0. Put u, -1, 0, j in descending order.\nAnswer: j, 0, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4714, -9431, -14144, -18853, -23558?\n\"Answer: 2*f**2 - 4723*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28.8 + 29. What is the smallest value in 5, j, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -33, -0.5, -8847, 0.3, -3\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11\/(((-2295)\/(-327) + -7)\/2)?\nAnswer: 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1329065 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6 and 285.\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 - j + 2. Let d be g(2). Let h(c) be the second derivative of c**3\/6 - 3*c**2\/2 - 3*c - 37. Let s be h(d). Solve 2*q + 3 + s = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 48*z**2 - 144*z - 33. Let x(c) = 3*c**2 - 9*c - 2. Suppose -n + p - 3*p = -2, -16 = 3*n - 5*p. Let h(g) = n*l(g) + 33*x(g). Factor h(a).\nAnswer: 3*a*(a - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z + 3*z**2 - 3*z)*(0*z**2 + z**2 + 5*z**2) + (-4*z**3 + 7*z**3 + 3*z**3)*(0*z + 0*z + 4*z).\nAnswer: 42*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 7*c + b = 12, -3*c - 2*b = -3. Suppose -3*k = -5*a + 171, -2*a = -c*k - 43 - 119. Let u = 74 + k. Does 22 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -167\/2636400 and -9\/43940.\nAnswer: 2636400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + 3*k**3 + k + 10*k**2 - k**3 - 11*k**2 + 172. Suppose 3*m + 14 = 5*s - 11, -2*s + 10 = -4*m. What is the units digit of b(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1669, 3027, 4647, 6661, 9201, 12399?\n\"Answer: 22*d**3 - d**2 + 1207*d + 441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of -15*r**4\/8 + r**3 + 986*r**2. Let a(k) = 45*k - 5. Calculate 6*a(b) + 5*s(b).\nAnswer: 45*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 3, 0*j - 3*j - 39 = -2*r. Let q be (6\/(-9)*3)\/(-2). Let m be (-98 + 98)\/(q + -5 + 0). Sort 4, m, j in descending order.\nAnswer: 4, m, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, s: 1, x: 1, t: 2}. What is prob of sequence lxt?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 988511 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-3))**(17\/5))**11*q*q**7*q\/(q**(-2\/13)*q)*q*(q*q\/(q*(q*(q\/(q\/(q*q**0)*q))\/q*q)\/q*q)*q)**(-42) assuming q is positive.\nAnswer: q**(-9428\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {a: 6, i: 4, b: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, p: 10, c: 2}. What is prob of picking 2 c?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 - n + 6. Let g be l(4). Let w(m) = -2*m + 13. What is the tens digit of w(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/3*-1*(-36)\/(-30)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 + -11. Suppose 0 = -5*x + 3*u + 81, x - i*u - 55 = -2*x. Let f = 13 + x. Is f a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 - 1*(0 + -93). Suppose 2*j = -0*j + q. Calculate the highest common divisor of 16 and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 181272531?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 - 15*l + 37. Is 28 a factor of q(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 - 2*w**2 + 2*w + 4. Let c be t(-4). Let q(s) = -s**2 - 5*s + 63. Let o be q(-9). Is o less than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 + 5*w**2 + 3*w. Let l be n(-2). Suppose -5*p - 18 = g, -5*g + 93*p = 90*p - 22. Solve -8*m**3 + 10\/3*m**4 - 4\/3*m + l*m**g + 0 = 0.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k**(-2)*k)*k)**47 assuming k is positive.\nAnswer: k**188","meta":{"dup_signals":{},"source":"polynomials__simplify_power_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: Let d = -0.72 + 2.62. Let b = d + -0.9. What is the nearest to -2\/7 in 5, 0.2, b?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 36 = u, m - 5*u - 1 = 11. Let d = m - -13. What is q in 14*q**d + 4*q**3 + 10*q**4 - 4*q**4 + 12*q**4 = 0?\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/(-2) - (-78)\/12*331 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.805 - -0.825. What is the closest to 0 in 15, -2\/17, w, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -235*b**2 + 210*b + 236*b**2 + 19 - 80*b - 130*b.\nAnswer: b**2 + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - 13*m**2 + 10*m - 21. Give r(-14).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -51761?\nAnswer: 2\/51761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1864308?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 26996455 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of l**4\/12 - l**3\/2 - 3*l**2\/2 - 5*l - 6. Let w(s) be the first derivative of x(s). Calculate w(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of -11*x**7\/840 - x**6\/360 + x**5\/120 + x**4\/24 - 22*x**3\/3 + 2. Let y(o) be the third derivative of w(o). What is y(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 35.89 to the nearest integer.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7690\/(-15) - 22\/(-22) - (-2 - -3). Which is smaller: -2\/7 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*w - 65*w + 30*w + 17*w.\nAnswer: 9*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 539495 and 577?\nAnswer: 539495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -29193*d**2*r - d*r + 2*d - 272488*r wrt d?\nAnswer: -58386*d*r - r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1561*c - 1188 = -1567*c. What is the highest common factor of c and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/(-36) - 1181\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 631327363 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 22*b + 26*b = 68, -5*r + 40 = 14*b for r.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 30*s + 27*s - 1 to the form w*s + d and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5620116 - 2?\nAnswer: 5620114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 17 = -5*q. Let n be (-2)\/q - 5\/(-3). Factor 0*a - 2\/7*a**n + 2\/7.\nAnswer: -2*(a - 1)*(a + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8714556 to the power of 1\/3, to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3*1\/(-6)*-236?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 19 = -4*s, -590 = 2*s - o - 599 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 3*z - 203, 0*z = -5*z - 5. Suppose -4*u + 95 = -57. Let f = u + -22. Calculate the greatest common factor of f and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 5\/(-25))\/(3\/(-15))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*a = 51*a + 30 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2 - 2928*o - 714432.\nAnswer: -3*(o + 488)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 103, 178, 253?\nAnswer: 328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -5*g + 61. Determine f(12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (30*f + 3 - 3)*(-3*f + 5*f - 3*f)*(-3 + 5 - 1) in the form s*f**2 + l*f + u and give s.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19.361 - -0.461. Let u = f - -24.9. Let y be ((-2)\/(-18))\/(1\/3). What is the nearest to 1 in u, y, 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -403 at least as big as -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -2*n + 33, n - 8 = -i + 1. Suppose -i*y = -37 - 33. Solve 4*m = -2*a - y, -2*m - 5 = -2*a + 5 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -214195*k**2*t**2 + 2*k**2 - 2*k - 6*t - 100 wrt t.\nAnswer: -428390*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + 8*m**2 - 9*m - 12. Let g be j(-8). Suppose 0*k + g = 5*k. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 63\/4 - 15. Which is the third biggest value? (a) 3\/8 (b) m (c) 0.4 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*m - 59 + 194 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-5 - 4) - -6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 69 (b) -2\/5 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 87, 181, 275, 369, 463?\n\"Answer: 94*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 82534980 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 10) to base 9\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - -33)*10\/5 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(448)*-3)**2 + (1 + sqrt(448))*-4 - (-4 + -2*(((2*sqrt(448))**2 - sqrt(448)) + sqrt(448)))*-6.\nAnswer: -17491 - 176*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -669*0.5.\nAnswer: -334.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1400)\/(sqrt(2) - 2*sqrt(8)).\nAnswer: -10*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (44*44\/(-605))\/((-2)\/(-10))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-424)\/954*(-8)\/((-224)\/54).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/2*(4 + -10). Let g(p) = 7*p - y*p - 3*p. Let k be g(-5). Solve -2*i - k = 3*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 1\/8, -1\/6, -5\/2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of 13 + 0*o**2 - 1\/5*o**3 + 0*o + 3\/20*o**4. Factor l(s).\nAnswer: 3*s**2*(s - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 90382 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 5*a**2 - 20 + 20 - 6*a**2. Let l(s) be the first derivative of -s**6\/90 - 2*s**3\/3 + 2. Let p(i) be the third derivative of l(i). What is p(n(y))?\nAnswer: -4*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 + 35 = 5*r + c + 78, -4*r - 5*c = -2*c + 11 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l - 2257*l**2 + 1211*l**2 + 1143*l**2 + 2 to the form p*l + j + v*l**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -1773786?\nAnswer: 1773783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1498*o + 2960*o - 1472*o.\nAnswer: -10*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2 + 5*w - 4*w - 3*w. Let c be l(2). Let z(n) = 5*n**3 + 4*n**2 + 3*n. Find the common denominator of z(c) and 81\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + 164*f**2 + 5377*f - 108826. Give q(-97).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 305791?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 + 14. Suppose l*f - 5*f = -2*t - 116, -27 = -f + 3*t. Does 20 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 1 + -3 + 14 + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1364252, -2728114, -4091976, -5455838?\n\"Answer: -1363862*q - 390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/3 + 1)\/((-2)\/15). Let z be -1 - (0*3\/6)\/(-1). Sort 5, d, 1, z.\nAnswer: d, z, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58, -118, -178, -238, -298?\nAnswer: -358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.8 - 2.8. Let h = -33 - -35.9. Let x = 3 - h. What is the second smallest value in r, x, 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(99) + sqrt(99) + 1 - (sqrt(99) - (1 + -1 + sqrt(99) + sqrt(99))).\nAnswer: -3 + 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 242*t**2 - 483*t**2 + 254*t**2.\nAnswer: 13*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -27 - 6. Is 13 a factor of 431\/g + (-8)\/44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.7+-82.42555626\nAnswer: -83.12555626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iisbsbxsbsu. What is prob of sequence sbsb?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*t - 3*t + 30. Let h(k) = -2*k - 1. Does 11 divide h(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, -166137645 in descending order.\nAnswer: -1, -5, -166137645","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.265 rounded to the nearest integer?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -11210122222212?\nAnswer: 11210122222210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11159 is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2 - 2*r + (1519*r + 70 + 1533*r - 4629*r + 1542*r)*(2 + 0 - 1) to d*r + t and give t.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 1009*i**5 + 5*i**4 + 4*i + 76. Let z(h) = -1514*h**5 - 8*h**4 - 6*h - 113. Let x(o) = 8*y(o) + 5*z(o). Find the second derivative of x(n) wrt n.\nAnswer: 10040*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 291*w + 110*w**2 + 117*w - 408*w. Let s(m) be the second derivative of -m**4\/6 - 2*m. Give s(v(a)).\nAnswer: -24200*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 332 = 2. Suppose 0 = 5*m + 4*y - 4 - r, 0 = -2*m - 5*y + 28. Let h = -7 + m. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + (10 - ((11 - 0) + (-270 - -190))).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -951224*n**4 - 1226588?\nAnswer: -3804896*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1284 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 4*m = -0 + 2, 2*q = -m + 7. Suppose 0 = o - q*o + 28. What is the highest common factor of 70 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of d**4\/24 - d**3\/6 - d**2. Let o = -70 + 70. Calculate q(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a hour in minutes?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4879 is divided by 686.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2610 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -415 by 5.\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 252 - 279 = -27*x. Put x, -14, -3, -4 in decreasing order.\nAnswer: x, -3, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1667093 is divided by 134?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/10*6*(-4)\/(-78))\/(2379942\/(-262197))?\nAnswer: 1\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of 4\/15*i**3 - 4\/5*i**2 - 59 + 0*i. Factor y(g).\nAnswer: 4*g*(g - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 + 6*o**2 - 6*o + 8. Let x be l(-6). Let k = 91 - x. Is 9 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of -1\/96*s**6 - 1\/24*s**4 - 9*s**2 + 0*s - 1\/840*s**7 + 0*s**3 - 1\/30*s**5 + 0. Suppose h(c) = 0. What is c?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**(-1\/7))\/(u**(-6)*u))\/(u**(-1\/2)*u*u*u*u**6*u))**(2\/17) assuming u is positive.\nAnswer: u**(-47\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of -4*y**2 + 0*y + 15 - 4*y**3 - 1\/2*y**4 + 1\/6*y**6 + 3\/5*y**5. Find w such that z(w) = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j + 4*j - 2*j)*(2*j - 1 + 1)*(-1 - 897 + 52).\nAnswer: -11844*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/21 and (-1 + 0 - 0)\/((-117)\/559).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/12)\/(1\/(-112)). Let n be 6\/a*28\/8. Let p = -60 - -62. What is the nearest to -2\/3 in n, 0.3, p?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.28904237 rounded to two dps?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2003*y + 192391. Give z(96).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 5*t + 50 = 0, 161*q = 165*q + t - 15. Let j(w) = 23*w**3 - 8*w**2 + 8*w + 6. Let z(y) = -15*y**3 + 5*y**2 - 5*y - 4. Determine q*j(o) + 8*z(o).\nAnswer: -5*o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -150?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3*w = 5, -5*o = -0*w + w - 9. Suppose -o*b + 11104 = 5*f - 0*f, -b + 2 = 0. What is f rounded to the nearest one hundred?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from unnuunninuuiu. What is prob of picking 2 i and 1 u?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 40 + ((6 - 7) + -7 - -10) + 7.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22289 and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*n + n. Let y = n + 0. Suppose -81 - 31 = -y*v. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.057251824 rounded to three dps?\nAnswer: -0.057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 638913, 1277830, 1916747, 2555664, 3194581, 3833498?\nAnswer: 4472415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17 is divided by 3 + 0 + (-8)\/4 + 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1879.\nAnswer: 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (21\/(-2))\/(1\/(-2)). Suppose y = 3*w - 0*w. Suppose 4*t + 2*g = w*g + 439, -5*t + 4*g = -542. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 + 41 = -9*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -72500481*q**2. Let f(w) = 4*w. Give f(v(b)).\nAnswer: -290001924*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 282711?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/50 of a millisecond?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 20 - 5. Suppose r + 5*g - 4 = -2, 0 = -p*r + 4*g + 25. What is the highest common divisor of 7 and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 327934?\nAnswer: 2, 23, 7129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 522806?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -113a - -81b5?\nAnswer: 7078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1940 and 970?\nAnswer: 1940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 23 + 140 = 0. Let m = g - 170. Suppose -i - 4 = -2. Sort 2, m, i in ascending order.\nAnswer: m, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 8*b - 21 = i, i - 67 = 3*b. Calculate the remainder when 28*(4 - b\/(-7)) is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 31 - 2*i**3 - 3.\nAnswer: -2*i**3 + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -185 less than -1652\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 - 8*d**2 + 9. What is the remainder when 34\/(-7)*7\/(-2) is divided by v(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 24\/(-11) - (-1 + 7 + -8). What is the second biggest value in -2, 4\/5, b, 4?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -3*q**2 - 43. Let o(l) = 6572*l. Give o(u(m)).\nAnswer: -19716*m**2 - 282596","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (-10 + 9 - 11).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1385557 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 2*i + 9 = j, 2*j + 2*i - 14 = 0. Let m be ((-4)\/6)\/((-2)\/9). Suppose -4*o = m*y + 2, j*y - 15 = -3*o - 0*o. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 675, 1355, 2037, 2721, 3407, 4095, 4785?\nAnswer: 5477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*i**5\/5 - 8378404*i**4\/5 - 1288932*i**3\/5 + 8378404*i**2\/5 + 1288984*i\/5 = 0. Calculate i.\nAnswer: -161123, -1, -2\/13, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4118.942 + 4111. Let t = i + -0.058. Which is greater: -2 or t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*b - 7. Suppose -6 = -j - j + 2*w, j = b*w + 8. Put 3, j, 0 in ascending order.\nAnswer: j, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -49 + -91b2?\nAnswer: -923b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -194617 (base 13) to base 7\nAnswer: -5265352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (58\/3)\/(-2) - 32\/24\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22999960?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 0 + 1 + 3 - 2*x. Let k(w) = -3*w**3 + 108*w**2 + 229*w + 7. Let s be k(-2). Determine u(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1411848 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4024*t**3 - 134*t**2 + 265*t**2 - 938*t**3 - 131*t**2.\nAnswer: 3086*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 420099*a**2 + 472963*a wrt a?\nAnswer: 840198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 - 16*l**2 - 13*l + 10. Suppose 68 = 5*r - r. Let f be h(r). Suppose 6*q - f = 90. Is 23 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10261?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**5 - 2*w**5 + 0*w**5 + ((-1 + 2 - 2)*(-5*w**3 + 0*w**3 + 3*w**3) - 3*w**3 + 2*w**2 - 2*w**2)*(-w**2 + 0*w**2 - 15*w**2).\nAnswer: 15*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2 + -2)*3\/6)\/(-8). What is the closest to 2\/3 in -4, 0.2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) -0.2 (c) -345.69 (d) 5 (e) -0.13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -4*n - 4, -7*n = -5*t - 4*n + 11. Solve -d + t + 3 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 - t)*(64 - 10 - 26) in the form r*t + q and give r.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000004267 rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -536602*y**3 + 235439*y.\nAnswer: -3219612*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3 - (2 - -2) - -139?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6570)\/25)\/2 - (-4)\/10. Let b = -132 - k. Is (-1 + 0)*631\/b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(19\/(-171))\/(4\/6).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxp when three letters picked without replacement from {p: 1, x: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - (8395 + (2 - -2)). What is l rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -5*v. Let i(s) be the second derivative of s**3\/3 - 16*s**2 + 3*s - 191. What is i(g(l))?\nAnswer: -10*l - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.46813 tonnes in micrograms?\nAnswer: 7468130000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y. Let b(z) be the third derivative of -z**7\/1260 - z**4\/24 - z**2. Let o(c) be the second derivative of b(c). What is o(k(q))?\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wanw when four letters picked without replacement from wawwwawawaanawawaww.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -580 + 587. What is the lowest common multiple of h and (-2)\/(-2 - (-14)\/8)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 - 12. Suppose -p*a - 1 + 11 = 0. Suppose 4*x - 2*u + 3 = -1, 0 = 4*x + a*u - 24. Which is greater: x or -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b**4*j + 221*b**2*j**3 - 78*b*j**2 + 2*j**3 + 2*j wrt b.\nAnswer: -24*b**2*j + 442*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9178743121 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 16787538?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**4\/19 - 972*l**3 + 2343368*l**2 - 8631834588*l\/19 + 8587329062\/19 = 0. What is l?\nAnswer: 1, 211, 4511","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8 or 211995.04?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 294005*r - 1. Let u be v(1). Let h be u - 1\/(2\/(-4)). Suppose 0*c - 195997 = -2*y - c, 3*y - 2*c = h. Round y to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -394 - 150 = -2*q - 2*s, -5*q + 1352 = 4*s. What is the lowest common multiple of 1221 and q?\nAnswer: 9768","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*i + 4*i - 3 = k, -i = 2*k - 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 - u**2 + u**4)*(-2*u + 3*u + 2*u)*(-1 - 1 + 0) - 43*u**2 + 43*u**2 + 35*u**5.\nAnswer: 29*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*s - 89*s - 159 + 77*s to z + n*s and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 4*z - 2160, -9*j + 6*j - 6 = 0. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 4 + 16. Suppose -h = 3*p - 13, -4*p - o*h + 21 + 7 = 0. Solve v + p*v = 8 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - g + 8. What is the first derivative of 6*w**3 - 2*w**g + 8 - 4*w**3 - 2*w**3 wrt w?\nAnswer: -8*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 AM and 8:20 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 - 8*x + 5. Let p = 2 - 8. Let u(z) = 2*z**2 - 1. Let c be u(1). Let a(o) = -o + 1. What is c*w(q) + p*a(q)?\nAnswer: q**3 - 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 140059?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - 19*a**2 + 13*a + 90. What is b(18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3caa (base 16) in base 9?\nAnswer: -23265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 602 + -593. Let g(s) = 46*s - 411. Let z be g(r). Suppose 2 = -0*a + 2*a. Solve 0 = -2*j + 8 + 2, -z*p + 2*j - a = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -3*u + 1. Let w be f(-1). Suppose 3*b - 8 + 2 = 0, -w*b - 78 = -2*q. Let g = -40718\/11 + 3705. Calculate the common denominator of g and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (l + 1 - 1)*(4 - 3 + 0)*(-14*l - 13*l + 7*l) as d*l**2 + x + r*l and give d.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 71184\/9 - (-494)\/57. Calculate the highest common factor of k and 214.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12\/(-5))\/((-231)\/(-12)). Let l = -1\/55 + d. Let r = -10068 + 10068. What is the biggest value in 3\/7, r, -0.4, l?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27\/(-6)*118\/(-1593).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 132\/9*(-273)\/(-14). Calculate the greatest common divisor of v and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 - -7. Let s = w - -9.21. What is s rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.989*-0.18\nAnswer: -0.53802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bu when two letters picked without replacement from {b: 1, k: 1, i: 1, u: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 305*v - 12. Let u(q) = 101*q - 4. Calculate -6*n(o) + 17*u(o).\nAnswer: -113*o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d + 7. Let b be j(-6). Let s be b*12\/(-15) + (-2)\/10. Let l be (s\/(-2))\/((-3)\/6) - -28. What is the greatest common factor of l and 108?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 - 3*a**2 - 3*a. Let u be t(-2). Suppose l - u*j = 4*l - 3, l + 2*j = -3. Find the third derivative of -h**2 + 2*h**5 - h**l + h**3 wrt h.\nAnswer: 120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -3*n**3 - 38*n**2 - 5*n - 73. Let q(w) = -2*w**3 - 32*w**2 - 4*w - 74. Determine 5*i(o) - 6*q(o).\nAnswer: -3*o**3 + 2*o**2 - o + 79","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 24*k**2. Let o(p) = 47*p**2. What is 3*o(j) - 5*u(j)?\nAnswer: 21*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14*a**2*v - 2*a*v - 184*a - 1983*v wrt a.\nAnswer: 28*a*v - 2*v - 184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/621 (b) -5 (c) 16802\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -9*b + 14*b. Let t(g) be the third derivative of b*g**2 + 0*g**4 + 0 - 1\/30*g**5 + 0*g**3 + 0*g. Let f(j) = 2*j. What is f(t(w))?\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 205*j - 205*j + 45*j**4 + 88 + 170 + 94*j**4 wrt j?\nAnswer: 556*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*p**3 - 1616*p**2 + 2*p + 19221.\nAnswer: 9*p**2 - 3232*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -2*l**3\/17 + 96882*l**2\/17 + 5043720*l\/17 - 21724864\/17 = 0?\nAnswer: -56, 4, 48493","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 28550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.07 and 76.\nAnswer: -5.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (32*-2)\/(-12 + 10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 AM and 9:57 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 AM and 7:58 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -2*y + 9*w + 101, -164 = -3*y - 5*w. Calculate the remainder when 155 is divided by y.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 422013312 (base 6) to base 3.\nAnswer: 111212121211022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 - 11. Suppose 2*g - 2*t + 0*t - 2 = 0, z*g = -t - 1. Solve -5*v - 3*j + 37 = g, -2*v + 4*v - 3*j = -2 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1906, -1904, -1902?\nAnswer: -1900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2277 - 5066479809.\nAnswer: -5066477532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/140*7*-2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, 232, -2 in descending order.\nAnswer: 232, -2, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 divided by -44646.\nAnswer: 19\/22323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 0. Let h be 0*f\/16 - -2. Solve d - 4*s = 21, -3*d + 6*s = h*s - 23 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15548007 to the power of 1\/3, to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -4*f - 22, -3*b + 0*f + 2*f = -16. Solve -o**2 - 2*o**2 + 5*o**5 - 3*o**5 - 6*o**3 + 2*o**b + 5*o**2 = 0 for o.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - 28. Let m = s - -43. Suppose -m*d + 16 = -5*d. Calculate the remainder when 27 is divided by d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 5 + 2 = u, -5*u = -2*n - 21 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -3093 not equal to -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9329*b**3 - b**2*o**3 + 2*b*o**2 + 16003*o**3 - 2*o**2 - 16 wrt b?\nAnswer: 27987*b**2 - 2*b*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -4.6. Let q = 0 + -0.2. Let m = 0.037 - -2.963. What is the nearest to -3 in m, q, d?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3)\/(24\/(-80)) - -179?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 304812967 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1258 and 1652?\nAnswer: -2078216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -312\/11 (c) -1 (d) 2 (e) 1\/2 (f) -11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**4 - 216 + 216 + 4*j)*(-11*j + 35*j - 7*j).\nAnswer: 51*j**5 + 68*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48 and 8?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16\/9 or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 813\/4 + -2863\/12. Let o = t - -35. Which is the biggest value? (a) 0.4 (b) -0.5 (c) 0.04 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1825\/876 - (-1)\/(-12). Solve -198 = -n*y - 192 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*b = -100*b - 338050. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkfkkkfkkkk. Give prob of picking 2 k.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 3:12 AM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6356 - 9166. Let k = o - -4181. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fs when two letters picked without replacement from piipisiisiipoifisp?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millisecond in microseconds?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -0.3 (b) 1\/6 (c) -2\/11 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 440 and 12265?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v + 13. Suppose 5*y - 2*r + 47 = -0*r, -3*y - 31 = -4*r. Let g be j(y). Solve -s + 5*s = g for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*j - 7 = 3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/(2639\/(-936)) + 12?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2750606 - 2750606 - 1381*f**3)*(-2*f - 2*f**2 + 0*f + f**2).\nAnswer: 1381*f**5 + 2762*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (58 + 41 - 143)*(4*s - 15*s + 3*s)*(2 + 1 + 0).\nAnswer: 1056*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -127906 times 3\nAnswer: -383718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -501858521*v + 772141339 wrt v?\nAnswer: -501858521","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -116 - 12. Let n = -130.95 - d. Let o = n - 9.15. Round o to the nearest integer.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 - 104*l - 2002. Calculate g(-68).\nAnswer: 446","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1092757?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1744.997397 + 1745. Round z to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2\/2 + 26607*n\/2 + 26601.\nAnswer: 3*(n + 2)*(n + 8867)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5\/4323 - -247186\/670065. Let w = k + 1\/31. Which is the smallest value? (a) 0.3 (b) w (c) 0.1 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -834, 2, -11 in descending order.\nAnswer: 2, 1, -11, -834","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 - 10. What is the remainder when 61 is divided by h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 2*r + 4 - 1, -3*j = -4*r - 11. What is the units digit of j + (1*-3)\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/4 of a hour in minutes?\nAnswer: 735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i**3 - 17*i**2 + 6*i + 4. Give a(8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15244\/3 + 5134. Which is greater: y or 52?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g - 5*g = 25 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1229?\nAnswer: 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2388)\/(-4975))\/(3\/2))\/(-2*2\/140).\nAnswer: -56\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.08 - 0.22. Let t = 2.7 - k. What is the third smallest value in t, -2\/13, 0.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5954664 centuries to months.\nAnswer: 714.55968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -158*i**3 + 2*i**2 - 2*i - 9. Let u be w(-2). Suppose -c = -4*v + 1698, 6*v - 9*v = -4*c - u. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -14*b**3 + 5*b**2 + 2*b. Let t be 108\/(-810) + 8\/32 + (-607)\/60. Let f(q) = 7*q**3 - 3*q**2 - q. What is t*f(y) - 6*i(y)?\nAnswer: 14*y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1551 + -22?\nAnswer: -2013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 w when two letters picked without replacement from {d: 6, e: 1, y: 1, l: 1, m: 1, w: 1}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 PM and 7:09 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 34 = -2*j, -6*j - 70 = -5*b - 9*j. Suppose 15*h - b*h - 5*c = 4698, h - 4*c = 1169. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2816) + sqrt(2816) + sqrt(2816)*2 + sqrt(2816) + sqrt(2816) - sqrt(44)) + sqrt(44))\/((sqrt(28)*-2 - sqrt(28))\/sqrt(7)).\nAnswer: -16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48387?\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 8595 = 5*j, 3*y + 2*j + 5122 = 6*j. Let s be 0\/(-33) + 956\/(-1). Let x = s - y. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (324\/(-297))\/(-6)*-1*(-22)\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6 + -3 - (0 - 0). Let i be 0\/(1 - (2 - j)). Let r be (-17)\/(-5) - (-4)\/(-10). Put -5, r, i in descending order.\nAnswer: r, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-2 + 0 + 3 - 9)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -166676.42 to the nearest 10000.\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 75523.24*-5\nAnswer: -377616.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 9919, 9394, 8869?\n\"Answer: -525*t + 10444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/4*3*1. Suppose -38*r + 445 = 141. Suppose -280 = -r*f + t*f. Is 7 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhhu when four letters picked without replacement from {h: 10, u: 6, b: 2}?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 57115324997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1*(-4)\/66 - 62\/(-341) and 85\/2.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 24 = 5*l. Suppose 55 = 3*q - 6*g + g, 35 = 5*q + l*g. Does 4 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 5:17 AM?\nAnswer: 6:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 28704, 2, 53 in decreasing order.\nAnswer: 28704, 53, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -4\/1697840545?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 3198506 to the nearest ten thousand.\nAnswer: 3200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/4, 1\/5, -0.23, 2.7885, -5, -4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 88\/(-14) + (-18)\/(-63). Is 5 a factor of 9\/g*48\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -319*o = -341*o - 242 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilometer in centimeters?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/10*7\/(42\/3)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -67744\/7 + 778483\/126. Suppose 509 = -3*h - 10000. Let m = h - v. Calculate the common denominator of m and 17\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of -l**5\/60 - 3*l**4\/4 - 8*l**3\/3 + l**2. Let t = -1409 + 1393. What is the units digit of w(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**13\/f**(5\/2))**(-36) assuming f is positive.\nAnswer: f**(-378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1311033 + -3?\nAnswer: -1311102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2. Let d(a) = a**3 + 3*a**2 - 3*a - 2. Let g(o) = -d(o) + 4*k(o). Let z be g(-8). Suppose z*r - 37*r = 370. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20884 and 1150.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 48585 = -5*d - 16655, 0 = -5*b + 3*d + 39894. What are the prime factors of b?\nAnswer: 2, 3, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*k**2 + 44*k**2 + 2*k**2 + 5*k**2 - 67*k**2 + 4*k**2.\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -78 + 74. Let q(m) be the first derivative of -m**4\/8 + m**2 - 1. Let z(w) be the second derivative of q(w). Determine z(i).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 + -55 + (-16 - -1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17759 + 25595. Is n a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.08, 0, -3, 0.0089, 51 in descending order.\nAnswer: 51, 0.08, 0.0089, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 60 = 3*h - 0*s, -2*h - s + 40 = 0. Suppose -4*u = -3*g - 16, -4*u + h = -2*g + u. Find v such that 0*v**3 + 1\/3*v**2 + g*v + 0 - 1\/3*v**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 11:02 AM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 53893530 + -5?\nAnswer: 53893525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -2*z + 3*z - 30, 3*z + 5*f = 40. Suppose 0 = -4*w - g + 89, 5*w - 115 = -0*g - z*g. What are the prime factors of w?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or 1568616?\nAnswer: 1568616","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 3, 5, -0.4, 43, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 + 10*p - 7277. Give k(-93).\nAnswer: 442","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1458, -5772, -12942, -22956, -35802, -51468, -69942, -91212?\n\"Answer: 2*t**3 - 1440*t**2 - 8*t - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 + (-1 - 0) + 58 + (-99 - -61)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -110, -106, -98, -86, -70, -50, -26?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891) + -3*(sqrt(891) + -1) + sqrt(891) - ((sqrt(891)*2 - sqrt(891)) + 1))**2*-5.\nAnswer: -17840 + 360*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 5 + -1 + (sqrt(99) - ((0 + sqrt(99) - sqrt(99)) + -1)) + 6*(sqrt(99)*1)**2.\nAnswer: 3*sqrt(11) + 600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8bb + -12?\nAnswer: -900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20 + 3 - ((-7 - 23) + -7)) + 38?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1305 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -134.5 smaller than -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -7. Suppose -4*p + 7*n - 3*n = 8, p = 5*n - 18. Solve 2*k - p = f for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 557\/10 - 1829\/20. Which is smaller: s or -37?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, a: 12}. What is prob of sequence hha?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -873341*q**2*r**3*w + 9*q**2*r*w**2 + q**2 - 12*q*r**3*w**2 - 21*q*r + 20104*r**2 wrt r?\nAnswer: -5240046*q**2*w - 72*q*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/450 and -107\/450.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*n - 2*n. Suppose -17*m + 4*m - 26 = n. Sort -1\/13, -0.2, m in ascending order.\nAnswer: m, -0.2, -1\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -k + j + 10, k + 2*j = 19. Suppose -4*d + 48 = -4*n, 5 = 3*d + n - k. Let m = d - 3. Let a(y) = -y**2 + 4*y + 2. Give a(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 1644083 = -q + 1644100, 0 = -3*l - 4*q + 68 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -2905229\nAnswer: 3\/2905229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40235 is divided by 2913.\nAnswer: 2366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9316982567 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/((-4)\/(-2)) - -2. Let v be (-2 - -3)\/(l\/20). Solve -5 - v = -5*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.5 (b) -4 (c) 2 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 7*f**2 + 2*f - 1. Suppose 29 = -38*b - 47. What is the remainder when 111 is divided by t(b)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 95\/4 + (-14)\/(-56). Let a = z - 21. Solve 4 = 2*k, a*h - 4 = -h - 2*k for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/2))**20*(w**(-1\/3))**7*(w*w**2*w**(1\/12))\/(w**(-2\/5)*w)**(10\/7) assuming w is positive.\nAnswer: w**(277\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -100000010101?\nAnswer: -100000011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 190872 divided by -4.\nAnswer: -47718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 119, -103, -1, 3, 2, 0 in decreasing order.\nAnswer: 119, 3, 2, 0, -1, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -81900, -93677, -105454?\nAnswer: -117231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.1947+0.13\nAnswer: 0.3247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 78043?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2924*w - 301. Let n(b) = -39*b - 4. What is -4*i(v) + 301*n(v)?\nAnswer: -43*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 409498 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -8, -7, -4, 1, 8?\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 1 - (93 - 91)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/5728 and 23\/48.\nAnswer: 17184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*a - 37*a - 7*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/56)\/(848\/(-3710))*-10\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 2 + 2)*(-5 + 3 + 0) + 2 - 1 + 0)*(m - 3*m + m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 60\/7? (a) -61 (b) 0 (c) -1.51 (d) -0.4 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1925 (base 12) in base 8?\nAnswer: 5755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5115910301 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of -a**4\/4 + 19*a**3\/3 - 21*a**2\/2 + 38*a - 864. Determine k(18).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 22*k + 3. Is t(8) a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 702?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 139807109 to the nearest integer?\nAnswer: 11824","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 3*z**2 + 5 - 4 - 8*z - 6*z**2 + 2*z**2. What is the units digit of g(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -47 + 93. Calculate the least common multiple of 10 and a.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1144*y**5 + 27*y?\nAnswer: 22880*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 935.336mg in nanograms?\nAnswer: 935336000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -3*k + 5. Suppose i - 3*w - 15 = 9, 2*i + 4*w - 18 = 0. Solve i = -z + k*f, -3*z - 5*f + 25 = -2*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -53, -81, -123, -185, -273, -393, -551, -753?\n\"Answer: -q**3 - q**2 - 18*q - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 14*c**2 + 6*c**2 - 48*c**2 + 11*c**2. Let g(u) = -5*u. Calculate g(n(w)).\nAnswer: 85*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 6 (b) -8 (c) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 25*h**2 - 6*h**2 + 7 + 0 - 4 to k*h + b + l*h**2 and give l.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 3:29 PM?\nAnswer: 4:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -m**2\/6 - 3157*m\/6 - 91391\/3 = 0.\nAnswer: -3098, -59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 9*b**2 - 25*b - 4. Let k be v(3). Solve 0 = -k*w - 10, -5*w = 5*n - 2 + 12 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*(-4)\/(-8) + -18243. Let j = s + -169758. What is j rounded to the nearest ten thousand?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**4 - 132065*m**3 + 1162920315*m**2 - 3415495556675*m + 13643383952540.\nAnswer: 5*(m - 8803)**3*(m - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 7 + 2 = 0. Suppose -25 = 5*d + 90. Let w = d - -26. Is w equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 136*k**2*m*v - 648*k**2*m - k - 2073*m*v + 9*m wrt k.\nAnswer: 272*k*m*v - 1296*k*m - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**3 - 26*a**2 + 19*a + 19. Let l(m) = -2*m + 18. Let f be l(3). Let r be j(f). Put r, 3, 0 in increasing order.\nAnswer: r, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58142 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rv when two letters picked without replacement from {y: 3, v: 3, t: 2, b: 1, r: 3, c: 1}.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 981493947 - -0.4\nAnswer: 981493947.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -20*c**2 - 8*c + 3. Let t(b) = -b**2 - b + 1. Calculate -k(y) + 4*t(y).\nAnswer: 16*y**2 + 4*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kgkg when four letters picked without replacement from vvkkkkgrggv.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -3*k**2 + 93*k + 69. Let h be p(35). Round h to the nearest 10.\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12044, -24064, -36052, -48002, -59908, -71764, -83564, -95302?\nAnswer: -106972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 - 4*p + 6. Let n be v(-5). Let a(c) be the second derivative of 3 + 0*c**2 - 1\/6*c**3 - 9*c. Determine a(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 380 + -382.14. Let w = -2.54 - t. Which is the second biggest value? (a) 0.25 (b) -1 (c) w (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-4))\/((-112)\/(-192))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(720)*2 - (sqrt(720) - (-3 + sqrt(720) + 0)) - -2*(sqrt(720) + 2*sqrt(720))*1)**2 + 4.\nAnswer: 432*sqrt(5) + 25933","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23560.\nAnswer: 2, 5, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 - 64374*o - 450566. Give d(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 203938306?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 8. Suppose 5*w = n - 6. Let i be 1\/6 + (-92)\/264. Is i at most w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 - -25. Suppose 0 = 2*w + 2*q - 12, -2*w + 12 - 3 = q. Suppose 0 = 3*k + w*k - 24. Which is the nearest to -0.1? (a) k (b) m (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 4*b + 15 = 2*g, -g = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22 - -35. What is the remainder when 29 is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-15)\/2*24\/10. Let y = h + 25. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*d - 823*d = 535*d + 28538 for d.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7\/38 - -305\/418. Let y = -0.53868 + -0.86132. Which is the second smallest value? (a) y (b) i (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 2:57 AM?\nAnswer: 2:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**2 - 8*c + 5. Let i(g) be the second derivative of g**4\/12 - 7*g**3\/6 + 2*g**2 + g. Let k(u) = 3*i(u) - 2*z(u). What is the units digit of k(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -10837063.\nAnswer: -2\/10837063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w - 7. Determine p(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p = 261 - 990. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 12:40 PM?\nAnswer: 2:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/(o\/(o*o*o*o**(2\/39))*o)))\/((o*o**(2\/77)*o)\/o)*(o**(1\/7))**(-50))**(23\/5) assuming o is positive.\nAnswer: o**(-636824\/15015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 44738*k**3*p + 272*k**3 - 3*k**2*p - 258*k**2 wrt p?\nAnswer: 44738*k**3 - 3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6044597*j**2 + 433*j + 1877 wrt j?\nAnswer: 12089194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/63 - 220\/495?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/21996 and 49\/208.\nAnswer: 87984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 22 = -4*w - 4*u, -3*u + 22 = 5*w. Let a(q) = q**2 - 4*q - 5 + q + w. Is a(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1243333 (base 5) to base 14.\nAnswer: -90a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/w**(-1)*w)**(-1\/11)\/(w\/(w*w**(-1)))**(19\/6) assuming w is positive.\nAnswer: w**(-233\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000799006 rounded to 7 dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-29)\/h**(-23) assuming h is positive.\nAnswer: h**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 13) in base 12?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 4*b - 2 = 0, -62*b + 59*b = -4*d + 5. Let p = 6 + -5. What is the nearest to p in 1\/2, -0.15, d?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 389970 to the power of 1\/3, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 15*p**2 - 10*p - 10. Let k be d(-1). Let t be 3\/(42\/(-4))*(k - 16). Which is the nearest to t? (a) 3 (b) 2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 58 - 54. Let f = d + -4. Find the second derivative of f*l**3 - 238*l + 248*l - 5*l**3 wrt l.\nAnswer: -30*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/1619984 and -87\/3239968.\nAnswer: 3239968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 77494*m**3*w**2 - 1989*m**2*w**2 - 24*m**2*w wrt m.\nAnswer: 464964*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of -l**6\/600 + l**5\/600 + 13*l**4\/240 + l**3\/10 - 3*l**2 + 8*l. Factor g(p).\nAnswer: -(p - 3)*(p + 2)*(2*p + 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 381 - 381.7. Which is the third smallest value? (a) -1\/2 (b) 0.3 (c) -1 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13035.\nAnswer: 3, 5, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 75405?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*b - 21*b = 5*p - 6, 20 = -4*b + 2*p for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 3 a when four letters picked without replacement from kpppaakaappka?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(((h*h\/h**23*h)\/h)\/h))**(-2\/13)*((h\/h**(-8\/5))\/h)**(5\/4) assuming h is positive.\nAnswer: h**(-20\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 608 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-4))\/((75537\/126)\/109)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ip when two letters picked without replacement from {v: 1, g: 3, p: 2, i: 6, h: 1, f: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 4*p - 2*p + 0*p - 4*p - 18. Let r be q(-12). Solve -2*f = c - 0*f + r, 3*f = -c - 9 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -101 != -99?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2. Let z(a) be the first derivative of 5*a**4\/3 + 7*a**2\/2 + 153*a - 279. Let s(f) be the first derivative of z(f). Give y(s(v)).\nAnswer: 400*v**4 + 280*v**2 + 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(-12) + (-21)\/180. Let s be 8\/20*(-10)\/(-16). Sort s, a, -0.3 in increasing order.\nAnswer: -0.3, a, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -5*d + 59. Suppose 0 = 3*j - 5*b - 44, 4*j + 0*b = -4*b + d. Suppose -10 = -5*s + 60. Calculate the smallest common multiple of j and s.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -734916538 - -0.3344.\nAnswer: -734916537.6656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000000370726 to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1593 a factor of 212907636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 673*r = 1127*r + 1816 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - -1*(-27)\/(-33). Let s = -25.9 - -28. Let c = s - -0.9. What is the nearest to g in 0.1, c, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r**3\/8 - 1419*r**2\/8 - 525*r + 3525\/2 = 0.\nAnswer: -470, -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 9. Suppose k = q + v - 272, 2 = 5*v - 6*v. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + u)*(2917 + 89*u**2 - 2917 + (-3*u - 4*u + 6*u)*(3*u + u + u) + u**2 - u**2 + u**2) to r*u**2 + o*u + l + i*u**3 and give i.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*(-13)\/(52\/360). Let k be m\/(-25) + 6\/15. Suppose 0 = -6*n + n - 3*h + 106, k*n + 5*h = 90. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105396023?\nAnswer: 6899, 15277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5 + 1 + 1)*(-1870)\/(-33). Let r = j + 178. Solve 2*n - 5 = p, 3*n = 4*p - n + r for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 333411, 333399, 333389, 333381, 333375, 333371, 333369?\n\"Answer: c**2 - 15*c + 333425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21 + 8 - -3) + 19 + 4 - -11.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2272*l - 4920. Let t(j) = 567*j + 1230. Let p(x) = -2*h(x) - 9*t(x). Find the first derivative of p(u) wrt u.\nAnswer: -559","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 520 and 360.\nAnswer: 4680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/18 + (-2035)\/(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 + 75*k. Let b(h) = -2*h. What is -3*b(j) + s(j)?\nAnswer: -j**2 + 81*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -80365705*b**2 - 165061*b + 45 wrt b.\nAnswer: -160731410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1300) - (sqrt(1300)*2 + -5)) + sqrt(1300))**2*5 + sqrt(65)\/((sqrt(5) - (sqrt(15)\/sqrt(3) - sqrt(5))*-3) + sqrt(5) - sqrt(5))*-6.\nAnswer: -6*sqrt(13) + 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 814 a factor of 465608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of -f**2\/2 - 5*f + 2. Let d be u(-8). Solve -d*x + 4 = -2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -11 (b) 58 (c) 2\/7 (d) -2 (e) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 4*j + 92, -3*x + 0*j + 94 = -2*j. Calculate the greatest common divisor of x and 128.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -66 + 1?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 0*s - 826 = 4*s, -2*t - 5*s = -520. Suppose -x + t = 8*x. Calculate the highest common divisor of 6 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 + -19.17. Let o = -62 - -62.59. Let y = o + c. What is y rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2070578695 and 7405.\nAnswer: 7405","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of -t**4\/24 - 7*t**3\/6 + 6*t**2. Let i(l) = -4. Determine 7*i(d) - 4*s(d).\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(1088) - sqrt(1088))**2 - (sqrt(17) - sqrt(68)\/(sqrt(4)*2))) + 5.\nAnswer: -sqrt(17)\/2 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*k + 94 = -1. Suppose -k*n + 25 = 0, 1343 = -2*y + 5*y - 2*n. List the prime factors of y.\nAnswer: 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7034790 and 630.\nAnswer: 21104370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 2693 = 3*x, -4*x - 4*z = -2065 - 1523. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 + (-14)\/4)\/((-6)\/32). Let q(y) = -1 + y**3 + y**2 + 13 - 4 - t*y**2. Determine q(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 - 6*w**2 - 2. What is t(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, 3355, 3 in descending order.\nAnswer: 3355, 3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 0 = -9. Let t(m) = -g*m + 6 + 0 + 2*m. Determine t(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-2))\/(7\/(-5)*(-166)\/581).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*m + 34*m - 4*m**2 + 34 + m**2 - 13*m - 13*m to c*m + v + y*m**2 and give v.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 85 - 81. What is the second derivative of -6 - 179*l**3 - h*l + 137*l**3 + 3 wrt l?\nAnswer: -252*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 5*u**2 - 79*u. Let q(g) = -2*g**2 + 3*g. What is 2*q(l) + t(l)?\nAnswer: l**2 - 73*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.4641 rounded to zero decimal places?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -230666651 (base 7) to base 5.\nAnswer: -12103232432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 - 5*h**2 + 7*h + 2. Let x(g) = 5*g + 39. Let m be x(-7). Let c be s(m). Solve -c = -2*r + 5*i, 3*i + 5 - 1 = -r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqkk when four letters picked without replacement from {q: 7, k: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -2\/9 (c) 0.07 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*u**5 - 373*u**4 + 957*u wrt u?\nAnswer: 40*u**3 - 4476*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23189, 23190, 23191, 23192, 23193, 23194?\nAnswer: 23195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(35\/(-4))\/5*3852\/(-2889).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13 by 13.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 29160*h + 116619. Calculate d(-4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1, -26, -71, -134, -215?\n\"Answer: -9*f**2 + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 t when three letters picked without replacement from {t: 1, n: 4, y: 1, b: 2}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2*sqrt(350))\/(sqrt(126)\/sqrt(2)).\nAnswer: -20*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 3:19 PM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + ((sqrt(22)*1)\/sqrt(11))**2 + (sqrt(6)\/sqrt(3) + 2)**2 + ((sqrt(242) - (sqrt(242) + sqrt(242) + 0 - sqrt(242))) + 1)**2.\nAnswer: 5*sqrt(2) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(3 + -1 + -6*(sqrt(72)\/sqrt(3))\/sqrt(8)*3 + -3))**2.\nAnswer: 576*sqrt(3) + 15568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 7 - 2)*(-3 + 2 + 3)*(n + n**2 - n).\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -44890 to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47080 (base 13) to base 14.\nAnswer: 353c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 33718.6672 to zero decimal places.\nAnswer: 33719","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00012864586 rounded to seven decimal places?\nAnswer: 0.0001286","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) -0.4 (c) -17 (d) -2 (e) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u - 15*u**2 + u + 2 - 2*u as d + p*u + n*u**2 and give n.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzb when three letters picked without replacement from iiizibzzb?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - 2*z + 3*z)*(-z + 2*z + z)*(2*z**3 - 16597*z**2 + 16597*z**2 - 2*z + 2).\nAnswer: 8*z**5 - 8*z**3 + 8*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2253311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + w - 8, 0 = 4*b - 3*w - 31 + 3. Suppose 0*z - 52 = -b*z. Is 13 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*s - 471 - 32*s**2 - 27*s**2 - 45*s**2 + 3*s + s.\nAnswer: -104*s**2 - s - 471","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 12:05 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 4*k + 5*k + 9*k**2 - 81 + 0*k + 85 + k + k**3. Determine q(-8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 - p. Let k(q) = -14*q**2 + 4*q - 2. Suppose 21*m + 84 = 9*m + 24. Determine m*v(y) - k(y).\nAnswer: 9*y**2 + y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1740 - -7057\/4. Let s(m) = 2*m + 9. Let o be s(-4). Find the common denominator of o\/((-3)\/((-9)\/(-6))) and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*i + 15 = -12 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 258 = -200*r - 53*r + 5. Let p = -9 + 8.6. Which is the nearest to r? (a) p (b) -2\/3 (c) 0.5 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -61127*b*f*n + 764*b*n - 2*b - f*n - f - 376*n - 4617 with respect to b.\nAnswer: -61127*f*n + 764*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 9:51 AM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.4, -3, 15, -1\/17 in descending order.\nAnswer: 15, 3, -1\/17, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154 = -11*r + 3*r + r for r.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 27*g**2. Let y(u) = 56*u**2 - 2*u - 4. Let r(h) = -104*h**2 + 3*h + 7. Let q(n) = 4*r(n) + 7*y(n). Give q(o(p)).\nAnswer: -17496*p**4 - 54*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*s + 3*s + s)*(-4*s + 2*s + 0*s + 2) - 2*s**2 + 4*s**2 - s**2 as z + g*s + v*s**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -0*l - 3*l. Differentiate l + w**4 - 2 + 1 with respect to w.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59101 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 - -42. List the prime factors of o.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 0*o = -437. Suppose -2*n + o = -f, f + 928 - 275 = 3*n. Let h = n - 127. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = 2*t + 7, -4*y - 16 = 67*t - 63*t for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/832 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1580078 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.04 and -1681763.\nAnswer: 67270.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z**2\/8 - 45*z\/4 + 24 = 0. Calculate z.\nAnswer: -32, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -3, 18, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1403 * -0.8.\nAnswer: 1122.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((0 + (sqrt(700)*1 - sqrt(700)) + 0 + sqrt(700))**2 - ((sqrt(700) - (sqrt(700) - (sqrt(700) - (1 + sqrt(700))**2)))*-5 + -3)))*6*-1.\nAnswer: 300*sqrt(7) + 16812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 6 - 3 - 3*z - 7*z. Does 21 divide n(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5759 - -24948. List the prime factors of l.\nAnswer: 30707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 348926.\nAnswer: 2, 59, 2957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 1 + 0*w - w - 2*w. Let d be l(-4). Suppose -3*q - 4 = -d. Solve 0 = -q*h - 2*f - 7, h + f = -3*h - 11 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -410110143 (base 6) to base 4.\nAnswer: -122232310233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9103 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1*-12)\/4 + (8 - 1). Let t be (-2)\/(2*o\/(-44)). Solve -k + t = v - 4*v, -5*k = 5*v + 45 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 200?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3441189423 to the nearest integer?\nAnswer: 58662","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7061 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10058 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1802 - 2577. Let z be 4\/(4 - (-3090)\/m). Suppose 2*a = -2*s + z + 38, 5*s + 376 = 2*a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/110 and -17\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1\/120, -0.4, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 70967 and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 45 and 1447?\nAnswer: 1402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 2012?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -16*x**3 + 204*x**2 - 1644*x - 5049. Let n(r) = 23*r**3 - 307*r**2 + 2465*r + 7574. Let w(t) = -5*n(t) - 7*p(t). Factor w(m).\nAnswer: -(m - 19)**2*(3*m + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5 and 359335.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -4. Suppose 0 = 6*d - m*d + 16. Let f be (d\/(-10))\/(2\/5). Solve 0*n = -f*n - 4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-19)*z**(-1\/5)\/z*z*((z*z*z**(-7)\/z*z*z*z)\/z)**(2\/45) assuming z is positive.\nAnswer: z**(-872\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = 10*p - 6*p - 12, -p + 2*q = -9 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 7:54 PM?\nAnswer: 10:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z**(-1\/13)*z))\/(z*z**8)*z\/(z*z*z**(-1\/5))*z*z**5)**(1\/19))**(2\/85) assuming z is positive.\nAnswer: z**(-484\/104975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -285, -18, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 156140 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*k**2 + 0*k**2 - 6*k - 6*k**2 as d*k**2 + n*k + a and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 - n**2 + 4*n. Let t be j(-3). Suppose -5*c + 7 = -2*c - r, r + 3 = c. What is the highest common divisor of c and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 88140 = 3*v - 534614, -2*q + 622758 = 4*v. Suppose p = -q - 288629. What is p rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14213049?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/5*(-80)\/32)\/22.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.33 + -5.33. Sort -2, 0.09, l, 2\/5 in decreasing order.\nAnswer: 2\/5, 0.09, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 2039613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43536*u + 43488*u + 384 = 0. Let 3*g**3 + 84\/11*g - u*g**2 - 4\/11*g**4 - 16\/11 = 0. Calculate g.\nAnswer: 1\/4, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -139, -521, -1151, -2023, -3131, -4469?\n\"Answer: x**3 - 130*x**2 + x - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 0. Let b be 21\/546*70 - -14*4\/(-24). Are u and b unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 z when two letters picked without replacement from {s: 1, z: 1, y: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 2*o - 2*p + 35, 5*o + 3*p + 165 = 0. What is the tens digit of (o\/8)\/(3\/(-12))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.06 + 0.11. Let a = v - -0.15. Let i(b) = -b**3 + 2*b**2 + 18*b - 43. Let l be i(4). What is the closest to a in 1\/9, 3\/8, l?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -553 + 553. Suppose z = -26*f + 18*f + 2552. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*t - 476 = -43*t. Let z = t + 115. Let s(b) = -1 + 0 - 5 - 2*b. Give s(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 - 3)*-1 + -182. Let j = 274 + h. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = -0*c + 4*o - 94, -29*o - 1 = -4*c - 23*o + 65 for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 - 3*r**2 - 4*r + 2. Let a be m(4). Suppose a*d + 3269 = 9*d. Suppose q + 3*g - d = 0, 4*q - 2*q = 4*g + 954. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of -1\/105*p**7 + 4*p**2 + 0*p**4 + 0 - 1\/30*p**5 + 0*p + 1\/30*p**6 + 0*p**3. Factor c(t).\nAnswer: -2*t**2*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -1676*k + 38488. Determine y(23).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25 - -25.9. What is the smallest value in l, -2, -2\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**2 - 63145250*w - 63145252 = 0. Calculate w.\nAnswer: -1, 31572626","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (32 - 3 + 12)*(0*j - 4*j + j) to the form s + h*j and give h.\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10.4 + 10. What is the third smallest value in w, 6, -0.5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/5 - 81124908*a + 405624538\/5.\nAnswer: 2*(a - 202812269)*(a - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39559.\nAnswer: 13, 17, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 - 13*g - 7. Calculate r(14).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(3087))\/sqrt(9) + -2)**2*2.\nAnswer: 56*sqrt(7) + 694","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 3*c = 94, -4*x + 339*c - 162*c - 178*c = -65 for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110 = 6*n - n. Let l = n + -9. Differentiate l*f**2 - 17*f**3 - 6*f**2 - 13 - 7*f**2 with respect to f.\nAnswer: -51*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -12*b - 4. Let p be w(-2). Let m(y) = y - y + 19 - p + 2*y. What is the units digit of m(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 5*s + 17 = 0, 645*s - 642*s = -5*u + 18 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3442380 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -134\/5 in 6, -0.2, -1035\/8?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 92695 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 3, 2, -1.1, 8, 0.012?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 698.8551ng in tonnes?\nAnswer: 0.0000000000006988551","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6 * 5.937.\nAnswer: -3.5622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - 1)*(-78)\/(-6). Let k = 13 + v. Solve -5*r + 6 = 2*f, k = -f - 2*f - 2*r + 9 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1492 + 96)\/(-3 + (-1 - 0)) a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -d + 67, -3*z - 6*d = -d - 46. Suppose -8 = -m - i, i + 8 = -z*m + 20*m. Sort -2\/11, m, 0, -1 in ascending order.\nAnswer: -1, -2\/11, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -13.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2 - 54*z - 20424.\nAnswer: 3*(z - 92)*(z + 74)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4*(sqrt(1872) + 0) + -5)**2.\nAnswer: -480*sqrt(13) + 29977","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24.3 - 23.5. Put p, -0.5, 2 in ascending order.\nAnswer: -0.5, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5820.381 decades in millennia?\nAnswer: 58.20381","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u - 9 + 15 - 5)*(-2 - 5 + 2).\nAnswer: 15*u - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-154)\/(-66)*723\/(-23618)\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of 3\/2*a**4 + 0*a**3 + 89 - 57*a + a**2. Differentiate m(w) wrt w.\nAnswer: 18*w**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/54 and 83\/18.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 3 = h - 3*s, -20 = 5*s for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**2 + 7*m + 34. What is d(-3)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -965 - -455. Let w = -319 - x. What are the prime factors of w?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*h + 4*h**2 - 7*h**4 - 25 + 59 - 18 + 4*h - 18 to t + g*h**2 + r*h**3 + b*h + j*h**4 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 27\/(-3)*2\/6. Let i be ((-16)\/(-12))\/(j\/(-9)). Let h = 682 + -679. Solve i = -n - h*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -72 - -120. Suppose w*k - 52*k = -572. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-160 - -162)\/(2\/6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 41918 - 19305. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -104*n + 21940. Give q(211).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11.99999955 + -12. Round m to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, f: 4}. What is prob of sequence fq?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 148564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**5 + q. Let i(l) = 3*l**5 - 18*l**4 + 108*l**3 - 216*l**2 - 2*l. Let d(n) = 3*i(n) + 6*r(n). Let d(p) = 0. What is p?\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b + 2*b**2 - 318980*b**3 + 2*b**2 + 3*b - 4*b**2 - 319026*b**3 + 638004*b**3.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 2790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of 2\/15*w**6 + 6*w + 0*w**4 - 4*w**2 + 0*w**5 + 0*w**3 - 1. Let j(f) be the first derivative of l(f). Differentiate j(g) wrt g.\nAnswer: 16*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/((-110)\/(-9))*(-50)\/(-75).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 AM and 3:21 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 10930.\nAnswer: 10930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 108\/3600*(-8)\/(-6)?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + (-2*sqrt(5))**2 + -3)*-5.\nAnswer: -85 - 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 divided by 35?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 7390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4460?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4, 20, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 3 + (1 - 2 - 5) + 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*l**2*s**4 + 9*l**2*s**3 + 10*l**2*s - 3*l*s**4 - 25*l*s**2 wrt s.\nAnswer: 48*l**2*s + 54*l**2 - 72*l*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(130) - (sqrt(130) - sqrt(130)*1)))\/(sqrt(810)*-1) + 5 + -5.\nAnswer: -5*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -151 - -151.02. What is the second biggest value in 32, y, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - z - 4 = 0, -44*c = -43*c - z - 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 0*b + 5*z - 20 = 0, -5*z = 4*b - 155. Calculate the remainder when b is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 27423*y + 191973. Determine k(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 1)\/(54 - 55).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 + 0. Let c(g) = 25*g. What is the remainder when c(1) is divided by -2 + 5\/(m\/(-36))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 22*n**2 + 24*n - 20. Give c(-21).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 10, 3*o - 4*g + 8 = 0. Suppose -s = -o*k + 405 - 60, 0 = -k + 5*s + 72. Let n(v) = -4*v + 6. What is the remainder when k is divided by n(-6)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 - -10851?\nAnswer: 10867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**0\/d))\/d**(-2\/7)*(d**(-2\/5))**50)\/(((d*d\/(d*d**(1\/4)\/d))\/d)**24*d**(-2\/7)*d*d*d**(1\/2)) assuming d is positive.\nAnswer: d**(-531\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 516 = -0*x + 2*x, 0 = x - 3*k - 240. Suppose -x = -26*j - 18. Suppose -7 = -2*u + 3*n + 55, -4*n - 116 = -4*u. Solve -4*y - u + j = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16584094?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1.9 (b) 2\/559 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 + 19*z + 92. Let f be s(-11). Solve -2*b = -f*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9.2376 - 0.2236. Let m = -9 + o. What is m rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.08126 rounded to 2 decimal places?\nAnswer: 2.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 132 and 54?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express j**2 - 6*j**2 + 4*j**2 - 932*j + 963*j as c + f*j**2 + b*j and give b.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11.7 - -12. Let y = 0.8 + -0.4. What is the biggest value in a, y, -1\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.76 + 118670353500.\nAnswer: 118670353500.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -42694.978281 + 42695. What is a rounded to three decimal places?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*f + 2*k, -f = 3*k + 13 - 2. Suppose 1 + 3 = -4*y - 2*m, 5*m = y - 10. Sort -18, f, y.\nAnswer: -18, f, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a meter in centimeters?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6570442 + 3?\nAnswer: -6570437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 69166 a multiple of 374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002410885 to six dps.\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8*((-6)\/(-4))\/3. Suppose 3*i + 1 = g. Let y be (-2)\/((4\/2)\/i). What is the smallest value in -4, -2, y?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 4*a - i, -2 = a - i - 4 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 + 11*g**2 + 8*g + 11. Let q be d(-10). Let b = 46 - q. List the prime factors of b.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a factor of 453518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h + 4. Let d be k(3). Suppose -56 = d*s - 14*s. What is the smallest common multiple of 24 and s?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 - 5*l + 11. Let n = 41 + -26. Suppose -n*u = u - 48. Let j be p(u). Solve -j*y - 15 = -2*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -87025*v**4 + 78504810*v**3 - 17708422741*v**2 + 1680269052*v - 39866596.\nAnswer: -(v - 451)**2*(295*v - 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(-10)*z**(1\/9)\/z)**(-1\/40))**(1\/8))**(-48) assuming z is positive.\nAnswer: z**(-89\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.1, 1\/6, -0.2 in descending order.\nAnswer: 1.1, 1\/6, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 48 (b) -3 (c) 6 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(68) + 1 + 5 + -2 - (-3*2*sqrt(102))\/(-1*sqrt(486))*-5)**2.\nAnswer: 224*sqrt(17)\/3 + 4793\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of -c**8\/43680 - c**7\/3276 - c**6\/585 - c**5\/195 + c**4\/4 - 8*c. Let y(t) be the third derivative of d(t). Factor y(u).\nAnswer: -2*(u + 1)*(u + 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2771162 to the nearest integer?\nAnswer: 1665","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p**2. Let y(i) = -2*i**2 + 49*i. Determine v(y(q)).\nAnswer: 8*q**4 - 392*q**3 + 4802*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60) - sqrt(180)\/sqrt(3))*5)\/sqrt(12)*3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -3. Let x be ((-120)\/70 - -1) + (-6)\/(-42). Let a be (-1 + 2 - -3) + 0. What is the closest to i in a, -1\/6, x?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p**2 + 3*p + 3. Let z be v(-3). Let f = z + -7. Suppose -f*b - 13 = -1298. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 3*h + 3. Suppose 2*z + z - 7 = u, 2*z = -h*u + 1. Suppose -z*j - 3*k + 122 = -k, 16 = -4*k. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 - 3*y + 9. Let h be m(7). Let b = -81 + h. What is the units digit of (-184)\/b - 2\/11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -t + 2*f - 142, f + 4 = 0. Let y be 2\/3*45\/30*-46. Let l = y + 17. Do t and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -10*w - 17. Does 15 divide m(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*o + 2*y, -5*o + 1 = -y - 0*y. Suppose 3*i + 2*m - 18 = i, 3*i - 2*m = 7. Suppose o*x - i*x = -35. Which is greater: 6 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -392 divided by 7.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (7 - (14 + 3 + -18)) + 1 + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -5. Suppose r = -a - 0 + 2. Solve -p - 3 = a*n, p + 3*p + 12 = -n for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -80*(-258)\/13760 + 1*18\/(-16)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Is 844957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22.8 - -23. Let p = -2 + 4. Which is the nearest to i? (a) 0 (b) p (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.8 + -1.28. Let v = 0.22 - b. Let d = -7109\/6 + 1184. What is the biggest value in v, d, -3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 300448 to the nearest integer?\nAnswer: 548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = 3*k - 33, -4*x - 596*k - 36 = -600*k for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = 120*r - 115*r - 8, -260*n + 264*n = 16*r - 112 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 1:08 AM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 53854.81 centuries in decades?\nAnswer: 538548.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -23*a**3 - 6*a**2 + 21*a - 6. Let m(q) = 46*q**3 + 11*q**2 - 43*q + 11. Let x(n) = -11*i(n) - 6*m(n). Find the second derivative of x(k) wrt k.\nAnswer: -138*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 809, -6\/13, 0.2, -0.1 in ascending order.\nAnswer: -6\/13, -0.1, 0.2, 809","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*c + 14*c - 2 - 91*c + 4 + 43*c + 18*c.\nAnswer: 4*c + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7848445 divided by 5?\nAnswer: 1569689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 4) to base 9.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -266, 0.24, -2\/9?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 752323 is divided by 50154?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -c**5 + 199334*c**4 - 22*c**3 - 36845582*c**2 wrt c?\nAnswer: -60*c**2 + 4784016*c - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5810 a factor of 3354544034?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 45*q**2*s - q*s**3 - 766*q*s**2 + 3*q*s + s**3 - 38*s**2 + 6*s - 660 wrt q.\nAnswer: 90*q*s - s**3 - 766*s**2 + 3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*j - 5*s = 44, s = 5*j + 3*s + 248 - 116 - 112 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -34, -8.\nAnswer: -34, -8, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 12. Suppose 5*r = -i + 35, -3*i = j*r - 3*r - 63. Suppose i = 4*h, -2*h + 5 = -5*v + 2*h. Solve -5*a + 5 = -3*s, -v*a + 4*s + 2 = -12 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 5:06 AM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r - 47 + 25 + 17. What is d(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 5. Let b be m*4\/((-4)\/(-41)). Let p = 75 + b. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3625*o**3*s**2 - 2*o**3 + 691*o + 4*s**2 wrt o?\nAnswer: 21750*o*s**2 - 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 69\/9 + 1\/3. Let p(v) = -v**3 + 7*v**2 + 13*v + 10. Let t be p(s). Calculate the greatest common factor of 20 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 55 and 760?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 271707161 is divided by 247?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*j**3 - 60*j + 0 - 18*j**3 + 61*j + 7.\nAnswer: 10*j**3 + j + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 75361 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 334385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 - 3*l + 12. Let h be s(-5). Suppose 4*z = h*p + 3*p - 14, -2*z - 2 = 0. Solve 4*c + p = -6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**15*z**4\/z)\/(z**3\/z**7) assuming z is positive.\nAnswer: z**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -5*t + 2*n, 3*t + 2*n - 24 = -n. Suppose 3*q - t*q = 4*y - 24, 2*q + 11 = 3*y. What is the smallest common multiple of 42 and y?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8734 is divided by 1157.\nAnswer: 635","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3200)\/(-48))\/20*-12?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14928 - -21699. List the prime factors of g.\nAnswer: 3, 37, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wrr when three letters picked without replacement from {w: 2, t: 5, r: 7}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12 * -0.98524.\nAnswer: -11.82288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4168 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: Let i = -12261 + 21187. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33*f**2 + 18*f**2 - 7*f**2)*(0*f + 0*f - 2*f)*(f + 2*f - 5*f).\nAnswer: -88*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 - 5. What is the second derivative of 9*f**5 - f**5 - 3*f**w + 4*f wrt f?\nAnswer: 100*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -8*m + 0*m**3 - m**3 - 3*m + 5 + 7*m**2. Let a be (133 - 129) + ((-2)\/(-2) - 0). Let f be b(a). Solve -2*d = -3*n + 4, -4*n + f*n + 4 = -4*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7*(-33)\/(-77))\/(((-4)\/2)\/(5896\/(-134)))\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -2*t + 2*h - 6, 3*h + 13 = t. Let l be t\/6 + 154\/(-33). Let y(j) = -4*j**2 - 5*j + 3. Let f be y(l). Round f to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-2 + -1 + -3 + 5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7826, -18117, -33328, -55919, -88350?\nAnswer: -133081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from ffffnfnffffnfffffn?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 - 2*y - 2. Let w be i(-2). Let u = w - -4. Sort -1, u, 5.\nAnswer: -1, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-625)\/7 + 26*(-780)\/28392?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -5, -0.2, 5, 26 in increasing order.\nAnswer: -5, -0.2, 0.5, 5, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7\/18 + 47\/144. Calculate the common denominator of k and -51\/14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) 0.3 (c) -12\/13 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 16494 divided by 2\nAnswer: 8247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*(42\/3)\/(-14)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/6 + 16\/6. Let d be (1*(-2)\/(-5))\/(3\/15). Let j(a) = a**d + 41*a - 2*a**2 + a**3 + 3 - 2*a**2 - 42*a. Determine j(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 845 + -842. Suppose -i + 8852 = h*q, -6310 = -2*i + 2*q + 11418. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 56*z - 60. Let k(l) = 97*l - 124. What is -5*g(d) + 3*k(d)?\nAnswer: 11*d - 72","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2067 - -2070. Factor 2\/5*p**a + 0*p**2 - 2\/5*p + 0.\nAnswer: 2*p*(p - 1)*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 2*k + 2*p + 9918, -4*k + p = -19836. Is 27 a factor of -2 + 72\/39 + k\/39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1813, -215, -2241, -4265, -6287, -8307, -10325?\nAnswer: -12341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96)\/sqrt(2)*-1)\/sqrt(2))\/(sqrt(588) + sqrt(588) + -4*(sqrt(588) - (sqrt(588) + sqrt(588)*-1))).\nAnswer: sqrt(2)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.049? (a) -5 (b) -3 (c) 0.07 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1086, -4374, -9860, -17550, -27450, -39566, -53904?\nAnswer: -70470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6785815 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 26*c**3 - 10*c**2 - 11*c + 64. Let k be m(3). Which is greater: 641 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c**3 - c**2 + 4*c - 2. Let t(m) = 115*m**3 + 14*m**2 - 56*m + 49. Calculate -14*s(n) - t(n).\nAnswer: -143*n**3 - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -265 - -260. Let v(k) = 13*k + 13. Let g(u) = -3*u - 3. Let z(t) = -9*g(t) - 2*v(t). What is z(o)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 390 and 1265467125.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51710 is divided by 507?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8.9 - 9. Let o = 320\/3 - 108. Which is the closest to q? (a) o (b) -1\/2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w - 11*w + w + 0*w + 3*w**2 + 9*w.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/7)\/c**(-2\/11))**25*(c**(-3\/4)*c**(-1\/2))\/((c*(c*c*c**(-5))\/c*c)\/(c\/(c\/(c**(-4\/11)\/c)))) assuming c is positive.\nAnswer: c**(2311\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 1. Let u = -80 + 79. Let t(a) = -430*a + 36. Let i(q) = u*t(q) - 3*h(q). Is i(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*t = 96*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from attttaaaaaaaaaaaaat?\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - 10100001111?\nAnswer: -10100001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.649 minus 3?\nAnswer: -8.649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1430 + 1433. Solve 4*z - 3*z - 4*n - 12 = 0, y*z - 5*n = 22 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 785008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 20, -8, -58, -136, -248, -400?\nAnswer: -598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3213.6 + 3237. Let x = -2 + 26. Let o = i - x. What is the second smallest value in -0.2, o, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 821955923?\nAnswer: 223, 1181, 3121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**3\/11 + 1942*f**2\/11 + 42768*f - 472392\/11 = 0.\nAnswer: -486, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27 and 1917?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -8 (b) -1\/14 (c) 1.5 (d) 7 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 392 and 6?\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1285\/3 greater than or equal to -427?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ejm when three letters picked without replacement from meeeueeppjepjj.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-14)\/(-4)*16\/28. Suppose -2*n + 10 = 0, -2*m - s*n - 5 = -21. Solve m*u + 4*w + 7 + 11 = 0, 0 = -4*u - 3*w - 17 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3439\/3 - -1157. Suppose 62 = 3*z - 4*b + 8*b, b - 5 = 0. Let h = -33\/2 + z. Find the common denominator of g and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 33 = 75. What is the units digit of (-24)\/v + 122\/18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -92*o + 130. Let k(p) = -10*p - 1. Give -18*k(d) + 2*s(d).\nAnswer: -4*d + 278","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 84 and 2604?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9850?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.7045 and 0.4?\nAnswer: 1.1045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 240772.29 - 241769.27459. Let z = m - -997. What is z rounded to 3 decimal places?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6*4*(-168)\/(-9408). Which is the nearest to -0.07? (a) -2 (b) n (c) 0 (d) -48\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4342*c + 117731 = -47265 for c.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -169 + 3591*q**3 - 616*q**5 - 2*q**2 - 216*q**5 - q**4 - 3589*q**3 wrt q?\nAnswer: -49920*q**2 - 24*q + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 4*m + 5956, 5*y - 7*y + 4*m + 2980 = 0. Round y to the nearest 100.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*o + 620*o + 63*o = 8040 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -20167347 (base 9) in base 7?\nAnswer: -145122445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*d + 100 = -2*x, -16*x + 10*x + 3*x - 3*d = 2*x + 19 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**4 + 42*w**3 - 135*w**2 + 156*w - 60.\nAnswer: -3*(w - 10)*(w - 2)*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 w when three letters picked without replacement from wiwx.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 7 = 17 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 10*a + 2. Let b be c(9). Differentiate b + 5*n**3 + n**2 - 1 - 7*n**2 + 3*n**3 with respect to n.\nAnswer: 24*n**2 - 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 2*y + 2. Let v be -6 + -2 + y + -1. Let t = v + 11. Solve -t*m = -5*b + 31, b + 3*b + 8 = -5*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2527.4 - 2?\nAnswer: -2529.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/10 - (14 + -8 + -6).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 3*l**5 + 255*l**4 - 1050*l**3 + 1590*l**2 - 1065*l + 267 = 0.\nAnswer: -89, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 18 = -5*g + 3*g, 143*g + 143*g + 5*z = -144*g + 435*g + 40 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2388 a factor of 138574157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -553*o**3 - 18*o**2 + 4*o + 6. Let v(a) = -a**3 + 4*a**2 - a - 1. Let n(m) = -6*v(m) - w(m). Find the third derivative of n(c) wrt c.\nAnswer: 3354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -241 - -251. What is the lowest common multiple of 29\/((-203)\/(-70)) + 8 and a?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/4)\/(-6*10\/40).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 531\/1431 + 28\/(-742). What is the nearest to -12 in 2, -1, -3\/7, k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 12 (b) -5\/3 (c) 39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/(-24)*(57\/(-18) + 3) and 59\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/54 and 17\/3924.\nAnswer: 11772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 5 + 5*j + 2 to the form o*j + k and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 238193927 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 6*s - 5. Let n be b(-3). Let f = n - -25. Is f*(-15)\/20*586\/(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9020335?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yhu when three letters picked without replacement from zzzyuzqgzhz?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*v - 47*v = -40. Suppose 3*l = l. Let f be v - (-9 + l)*1. Which is smaller: 9 or f?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132635 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: Differentiate 38481*s*t + 1247*s + 578325770*t with respect to s.\nAnswer: 38481*t + 1247","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a**3 - 66198 + 66196 + 62*a**2 + 8*a**2 + a**2.\nAnswer: -5*a**3 + 71*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 15*f = 45, 4*l - 35*f - 9 = -32*f for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + b**2 - 1)*(7 - 1 + 10)*(0 - 2 + 3)*(-4*b + 3*b - b) to the form c*b + z*b**3 + n*b**2 + j and give z.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2641*c*r**3 + c*r**2 - 2*r**3 - 2*r**2 + 7792*r wrt r?\nAnswer: 15846*c - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*d**3*g**4 + d**3*g**2 + 24731851*d**2*g**4 + 70704613*d*g**2 wrt g?\nAnswer: 120*d**3*g + 593564424*d**2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1937 times -6846?\nAnswer: 1326.0702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r - 5 = -r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of -4*l - 16 - 17\/2*l**2. Differentiate o(a) wrt a.\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, -5, 11.9, 2.1, -2\/5 in increasing order.\nAnswer: -5, -2\/5, -1\/6, 2.1, 11.9","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 2*t - 5*t + z, -5*z - 7 = -2*t. Let x = 28 - t. Suppose 0 = -5*b - 4*o - x, 4*b + 3*o = -o - 16. Is 1 smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + 14. Is 4 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39 and 78?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -50, 1\/4, -0.04, -2\/15, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*b - 4*b + 46*b**2 + 41*b**5 - b - 194*b**5 + 112*b**2 wrt b?\nAnswer: -9180*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8484715, -8484725, -8484737, -8484751?\nAnswer: -8484767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*t + 218 = 14*t. Solve -t*s + 216*s = -4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - 69*w**2 - 977*w + 404. What is c(81)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -6, 1, 2 in decreasing order.\nAnswer: 3, 2, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together 13737576871 and -0.3.\nAnswer: 13737576870.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*(-4)\/(-64))\/1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-40)*x)**(1\/7)\/((x\/(x*x*x**30))\/x**(-10)) assuming x is positive.\nAnswer: x**(109\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 288 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3112 + 18026 - 4754 = 610*i + 414*i for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 24 = 9*y. Solve -3*p + y*s = -8, 2 = 2*p - 5*p - s for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38245?\nAnswer: 5, 7649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 168*f + 173*f - 1041937 - 250112. What are the prime factors of f?\nAnswer: 3, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110 + -1000?\nAnswer: -11110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4111 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 5:48 AM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 r when four letters picked without replacement from {r: 1, n: 3, k: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4192 - 960 = -56*f. Calculate the greatest common divisor of f and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide -8*3\/6 - (0 - 1482)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48)\/(-216) - (-553)\/63.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m**3 + 1 - 9*m**3 + 4587*m**2 - 4587*m**2.\nAnswer: -9*m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8067 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-63)\/14*(-2)\/15. Let a = 3 + -3.5. Sort -0.4, r, a in decreasing order.\nAnswer: r, -0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 1:14 AM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -39*g + 18. Give j(6).\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -0.19, 5\/6, -15, -2\/9, 1\/7?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*u**2 + 0*u**2 + 4*u**2)*(-7 + 3 - 2)*(-3 + 3 + 2*u).\nAnswer: 84*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3355435 - 1?\nAnswer: 3355434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -23323\/5 at least -4666?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 - 15. Let u(s) = -2*s - 4. Let a be u(-4). Suppose -a*y - 5*q = -5, -4*y + 2*q - 3 = -q. Solve y = -n - i*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 2 - 22. Suppose 0 = z*f + 5, 2*m = -6*f + 3*f + 285. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 13*h**2 - 31*h - 397. Let j(u) = -3*u**2 + 7*u + 99. Calculate -9*j(x) - 2*s(x).\nAnswer: x**2 - x - 97","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 0*u + 3 = 0, -38 = -4*o - 2*u. Let s be (0 + -3)\/(6\/(-100)). What is the highest common divisor of s and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j**4 + j**4 - 2*j**4 + (-4 - 4 + 3)*(j**3 + j**4 - j**3).\nAnswer: -3*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pppx when four letters picked without replacement from {x: 6, p: 4, h: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -2*b + 4. Suppose i - 13 = -b. Solve 4*t + 3 = -i for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a meter in millimeters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -370, 9, 5, 1.\nAnswer: -370, 1, 3, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gs when two letters picked without replacement from {t: 2, n: 7, s: 2, g: 2, d: 4, k: 2}.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52, 198, 440, 778, 1212?\nAnswer: 1742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -482951*a*l**3*r**2*z - 7*a*l**2*r + 14*a*l + 6*a*r**2*z - l**3*r - 68*r**2 wrt z.\nAnswer: -482951*a*l**3*r**2 + 6*a*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/4 + 26693*x**2\/4 + 26690*x + 26689.\nAnswer: (x + 2)**2*(x + 26689)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2012428 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 7*a + 13. Let u(l) = -l - 2. Let t(o) = -39*u(o) - 6*x(o). Let z be t(1). What is the closest to -7 in -1, z, -0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-7)\/s**3*(s**(-4\/5)*s)\/(s\/s**(2\/13)) assuming s is positive.\nAnswer: s**(-692\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1547 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1401 (base 5) to base 4\nAnswer: -3202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1873, -9, 13110?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2\/7, 0, -5, 3861?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of q**5\/30 - 26*q**4 + 171*q**3\/2 - q**2 - 90*q. Find the first derivative of f(s) wrt s.\nAnswer: 4*s - 624","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (226 + 42*y**2 - 226)*(1 + 4 - 4 + (3 + 4 - 5)*(0 + 3 - 2) + 1 - 1 - 2 + 0 + 0 + 2)*(6 + 5 - 5 - y) to the form g + q*y**3 + t*y**2 + v*y and give q.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 11:12 AM?\nAnswer: 7:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 302111, 302196, 302281, 302366, 302451, 302536?\nAnswer: 302621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 - 9*h - 2. Suppose 0 = 2*w - 10 - 90. Let v be -5*2*20\/w. Let s be i(v). Calculate the highest common factor of s and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b + 8*b + 4*m = -232, -4*b + 5*m + 884 = 0. Suppose 5*l - 117 - 95 = -k, 0 = -5*l - 3*k + b. Calculate the lowest common multiple of 21 and l.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 2*n - 272, 4*w + 0*w = -5*n + 676. Let c = n + -66. Let i = c - 42. What is the highest common divisor of i and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 224, 449, 674, 899, 1124, 1349?\n\"Answer: 225*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1008\/210)\/(1\/15). Calculate the greatest common divisor of 24 and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -76.6497 rounded to one dp?\nAnswer: -76.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001732375629 rounded to 4 decimal places?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 2 + 23 + 0 + -17 + 8?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/5 - 650088*x\/5 + 52826800968\/5.\nAnswer: 2*(x - 162522)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 135*h. Let a(x) = 24*x. Let w(r) = 17*a(r) - 3*f(r). Let b(k) = -966*k. Give w(b(j)).\nAnswer: -2898*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1346437325 to the power of 1\/4, to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -14\/11, 0.2, -5, -4.6, 4\/29 in decreasing order.\nAnswer: 0.2, 4\/29, -14\/11, -4.6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 8 - (80 - 0 - 87).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 + -7. Let d = 18 - o. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**2 + 11*h + 22. Let r be q(4). Calculate the highest common divisor of r and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -744 + -417?\nAnswer: -1363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of -22*z**6\/15 - 27*z**4\/4 - 61*z + 70. Let j(d) be the first derivative of w(d). Find the third derivative of j(i) wrt i.\nAnswer: -1056*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6309 divided by 9953.\nAnswer: 6309\/9953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -3*d**2\/2 + 1491*d\/2 + 747 = 0.\nAnswer: -1, 498","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 908 - 476. Let v = m + -2159\/5. Which is the nearest to v? (a) -2\/9 (b) -1 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*x - 0. Suppose 2*h = h. Calculate the common denominator of (-10)\/(-9) + h + x and 31\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 + 8*j + 5. Let l be x(-8). Let c(m) = -2*m + 4 - l*m + 1 + 2*m + m**2. Let b be c(6). Solve -5*q - b = -1 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7742.\nAnswer: 2, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v + 855 = -1125. What is v rounded to the nearest 10?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -120117 and -120114 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 43973 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + 51\/60)\/(13\/(-52)). What is w in 2\/5*w - 1\/5 + q*w**2 = 0?\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -h + 10. Suppose 155 = -50*z + 261 + 194. What is the remainder when (0 + -1)\/((-2)\/h) is divided by z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 30013 in -2\/15, 2\/5, -0.3, -50, 0?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16137?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 848122 and 418.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*l - 28 - 20 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 32, -1, -18 in decreasing order.\nAnswer: 32, 10, -1, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, t: 2, z: 1, g: 2}. Give prob of sequence zg.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -808 divided by 1\nAnswer: -808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 + 15*f - 11. Suppose 5*y - 2*r = 80, 5*y + r = 2*y + 37. Let v be p(y). Let l(g) = g**2 + 2*g + v + 1 + 0*g - 2*g**2. Calculate l(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -6, 1976, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of 0 + 0*j**3 - 1\/6*j**4 - 3\/2*j**2 - j. Differentiate l(n) with respect to n.\nAnswer: -4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13347)\/(-129021) + (-3187)\/(-29).\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100ea55 (base 15) to base 9.\nAnswer: -23466008","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -5.82 (b) 7\/101 (c) 3\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 72, 67, 58, 45, 28?\n\"Answer: -2*x**2 + x + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 0*z**3 + 2\/3*z**4 + 0 - 2\/3*z**2 + 1\/3*z**5 - 1\/3*z = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 - 4*c**2 - 13*c + 9. Let x be k(6). Let f = -3 + 6. Suppose 33 = f*m - 2*m. What is the greatest common divisor of x and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 105, 211, 317?\nAnswer: 423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 3*j + 75, 5*p = j + 102 - 37. Suppose 0 = 19*i - 17*i - p. What is the least common multiple of (-2)\/((-4)\/i) + 7 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*f + 14 - 46 = 0. Let a be (22\/66*(f - 1))\/1. Which is smaller: a or -2\/369?\nAnswer: -2\/369","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-161)\/46*48\/(-28). Let g(y) = -2*y + 9. What is g(s)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.181 + 0.219. Let o = -1 + 0. Which is the closest to 1\/2? (a) -4 (b) o (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 234 - 230. Solve 3*q + 3*v = w*q, -q - v = -4 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 + 21*i + 38. Let f be b(-19). Suppose d - 10 = -f*d. Let m = 19\/2 - d. Sort -0.1, m, 1\/10.\nAnswer: m, -0.1, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 3 = -9. Suppose 15 = a*z + 3*m, -m = 3*z - 9 - 2. Suppose -z*i + 55 = 2*i. Solve -i = 3*u + 1 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -13*v**3 - 4*v - 6. Let q(b) = b + 1. Let m(a) = f(a) + 4*q(a). Find the first derivative of m(h) wrt h.\nAnswer: -39*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5762?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 + t**2 + t + 1. Let c(i) = 6*i**3 - 2*i**2 - 10*i + 25. Let b(d) = c(d) - 5*f(d). Give b(9).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 7*l + 8*l - 3*l + 5 to t + v*l and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a meter in centimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1438 - 2040. Let i = c + 978. Suppose 5*d - 5*r + 81 = i, -4*r = -4. Is d a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/15? (a) -4\/3 (b) 2\/7 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 285967\/45756 + 2\/11439. Let s(z) be the first derivative of f*z**4 + 2*z**2 - 19 + 0*z**3 + 0*z. Find the second derivative of s(v) wrt v.\nAnswer: 150*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2512, 6425, 12938, 22045, 33740, 48017, 64870, 84293?\n\"Answer: -d**3 + 1306*d**2 + 2*d + 1205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -4. Suppose 4*w = -5*g - 64, 2 = -g - 3*w - 13. Let s = -10 - g. Sort s, z, -1 in increasing order.\nAnswer: z, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/1 + 4 + -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60 is divided by 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -22*x**5 - 2*x**4 - 12*x**3 + 12*x**2 + 18*x - 10. Let g(b) = 7*b**5 + b**4 + 4*b**3 - 4*b**2 - 6*b + 3. Let z(q) = -16*g(q) - 5*s(q). Factor z(m).\nAnswer: -2*(m - 1)*(m + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11130012103 - -132?\nAnswer: 11130012301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4681209768?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 139*p. Let x(w) = -w**2 - 69915*w. Calculate x(u(j)).\nAnswer: -19321*j**2 - 9718185*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, v: 2, i: 2, j: 3}. Give prob of picking 1 v and 1 i.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 81184 and 142072?\nAnswer: 568288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4*(147\/(-28) - -6). Sort s, -1, -5, 26.\nAnswer: -5, -1, s, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5.04 - -0.04. Suppose v + 14 = -2*n, -7*v + 5*n + 26 = -5*v. Let u = 1\/47 + 89\/235. What is the closest to v in 2\/13, c, u?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 12 and 19\/3393?\nAnswer: 3393","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**4\/y**(-4))\/(y\/y**(-2\/7)*y*y**(-9)\/y) assuming y is positive.\nAnswer: y**(110\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**3\/11 + 272*a**2 - 1982038*a\/11 - 1985028\/11 = 0. Calculate a.\nAnswer: -1993, -1, 498","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/6 and ((-1635)\/(-60))\/(0 + 3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != -24\/197?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 AM and 10:04 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7553688.\nAnswer: 2, 3, 29, 10853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 5*a - 20 = 0, 3*a - 19 = -3*o - 1. Suppose -4*u + 528 = d, -3*u + 2572 = -o*d + 10*d. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2, -4, -10, -20, -34, -52, -74?\n\"Answer: -2*g**2 + 4*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*k**2 - 302 + 0*k**2 - 10*k**2 - 1413 + 3*k - 2*k to the form c*k**2 + m + g*k and give m.\nAnswer: -1715","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 3*o**2 + 14*o + 17. What is the remainder when 120 is divided by h(-6)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 9 = -4*a, -3*f = -5*a - 6*f - 13. Let n(x) = 4*x**3 + 3 + 2*x**2 - 2 - 3*x**3. What is n(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(847))*-5 + 2 + sqrt(847) + 0 - (sqrt(847) + sqrt(847)*-1 - sqrt(847))*1*-5*-2)**2.\nAnswer: 924*sqrt(7) + 30541","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 + 0)*1 - -1. Let l = f - -8. Suppose 37 = 9*o + 19. Solve -o*b + 16 = -l*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -93 greater than or equal to -88?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 165*q**4 + 2 - 5 + 1 - 163*q**4 + 4*q**2 as d*q**3 + v*q**2 + i*q + k + r*q**4 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1633 - 73 = 2*p. Suppose 5*b + p = 31*b. Calculate the highest common divisor of b and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-42)\/(-27)*(-429)\/(-260). Let k = h - -4\/15. What is the common denominator of k and 65\/84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30818, -30815, -30808, -30797, -30782, -30763?\nAnswer: -30740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 11*f**2 + 2*f - 1. Let c(x) be the second derivative of 11*x**4\/6 + 5*x**3\/6 - 3*x**2\/2 + 10953*x. Calculate -2*c(i) + 5*k(i).\nAnswer: 11*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 166933891 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 2951940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25 or 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -3*s + 16. Let w(v) = -v**2 - 1349460*v. What is w(m(y))?\nAnswer: -9*y**2 + 4048476*y - 21591616","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 1 + 4)*(0 + 0 + 2)*(-f**4 - f**2 + f**2) in the form q*f**2 + t*f**3 + l*f + m + v*f**4 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 + 17*s - 1. Let j be q(-19). Suppose -46 + j = b. What are the prime factors of ((-24)\/b)\/(12\/882)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*u**2 + 0*u**2 + 9*u**2)*(-31 - 4 + 88)*(-2*u**2 + u**2 + 2*u**2) as b*u + t*u**2 + s*u**3 + r + c*u**4 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 4*z**2 - 13*z - 46. Give l(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4403601296 + -266?\nAnswer: 4403601030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 4*j + 318 = 0, -2*f - 2*j - 171 = -3*f. What is the remainder when f is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**4\/7 - 15*g**3\/7 - 6*g**2\/7 + 24*g\/7.\nAnswer: -3*g*(g - 1)*(g + 2)*(g + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/((-2)\/(-2))*0. Let o = -18 - -18. Let g be 3\/(-3) - o\/(-3). Put z, -3, g in increasing order.\nAnswer: -3, g, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 take away -35044100242?\nAnswer: 35044100244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 4\/3, -1.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - 4*l**2 + 5. Let k be z(-4). Suppose 2*c - k*c = -36. Let w be -3*(16\/c - 2). Solve w = -a + r + 1, 0 = -4*r + 8 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*n**3 + 5*n**3 + 9*n**3.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -253.999515 - -254. Round c to 5 decimal places.\nAnswer: 0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vc when two letters picked without replacement from {m: 4, i: 10, c: 3, v: 1}?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -750 - -335. Let w = d - -410. What is the biggest value in 0.06, 1\/5, w, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 - 25 - 14819*q + 46 - 9 to the form a*q + r and give a.\nAnswer: -14819","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4057341km to meters.\nAnswer: 405.7341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 66493.5 nanograms in grams?\nAnswer: 0.0000664935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 - p + 3. Let o be y(0). Solve -4*t + 2 = -o*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 206\/51, -0.5, -2, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155589967?\nAnswer: 13, 17, 704027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (25*h**2 + 7*h**2 - 9*h**2 + (-4*h - 2*h**2 + 4*h)*((1 + 0 - 2)*(3 + 0 - 5) + 18 + 32 + 5))*(-3 + 2 - 1) as o*h + f*h**2 + p and give f.\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -367\/339 (b) -3\/8 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 577763*p**3 - 1156197*p**3 - 4*p + 4*p + 577877*p**3.\nAnswer: -557*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5755 + 61*q + 5755.\nAnswer: 61*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133 + 100 = -9*a + 66 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/89 and 0.049 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*(d*(d\/d**13)\/d)\/d)**42 assuming d is positive.\nAnswer: d**(-462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2 + (-5 + sqrt(125)*-1*-2*4)*4.\nAnswer: -19 + 160*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17920?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-66)\/(-15) + -4)*120\/8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - (-9 - -6 - 0).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 5*s + 6 - 18, -3*g - 9 = 5*s. Sort -1, -3, s.\nAnswer: -3, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/(-5))\/(1\/5). Let g be ((-76)\/8)\/((-2)\/j). Suppose 5*l - g = -4. Solve -2*c + b = -l, 4*c + 2*b = -b - 19 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 457254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-1 - 0) - (4 + -6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36601 = -4*l - z, -5*z + 24874 + 20866 = 5*l. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000011001 (base 2) in base 9?\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**2)**(-6\/7)\/(((p*p*p**(-6\/5)*p)\/p)\/(p*p*p*p\/(p*p\/(p\/(p*(p\/p**12)\/p*p*p)))*p)) assuming p is positive.\nAnswer: p**(367\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*i*n**2*z - 19*i*n**2 + i*z + 2*n**2*z - 200*z - 3 wrt n?\nAnswer: 4*i*n*z - 38*i*n + 4*n*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1501447 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1486*h - 1474*h + 2966*h.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 96 + -61. What are the prime factors of h?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -4. Let g = -3.98 - j. Let o = g + -0.019991. Round o to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3\/9 + 14*k\/3 - 40\/9.\nAnswer: -2*(k - 4)*(k - 1)*(k + 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)*3*5)\/(-4*(sqrt(6) + sqrt(18)\/sqrt(3))) - ((4 + sqrt(275)*-1)**2 + sqrt(121)\/(sqrt(176)*-2)).\nAnswer: -291 + 153*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((-10269)\/(-171) + -60)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n**3 + 13 - 13 + (1 - 2 - 1)*(-n**2 - 2*n**3 + n**2) to j + o*n**3 + c*n + b*n**2 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - -d6bd32?\nAnswer: d6bd36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.118 and 1?\nAnswer: -1.118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 12227566 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 137, 229, 333, 455, 601?\n\"Answer: x**3 + 85*x + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2248*a**2 + 587*a**2 + 94 - 94.\nAnswer: -1661*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -731\/4 - -19005\/104. What is the second biggest value in 1, 4, n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2528423937 to the power of 1\/2, to the nearest integer?\nAnswer: 50283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17.39 - 4584.\nAnswer: -4566.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-eight fifteenths of a millennium?\nAnswer: 22400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of -2*s**2 + 1\/6*s**4 + s + 0 - 1\/3*s**3. Factor q(h).\nAnswer: 2*(h - 2)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 54790, 109624, 164458?\n\"Answer: 54834*u - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/(sqrt(5) + -1*sqrt(5) + sqrt(5)))\/(-5*(sqrt(3) + sqrt(15)\/sqrt(5))) - (sqrt(16)\/(5*sqrt(8)*2) - ((sqrt(2) + -5 + sqrt(2)*-1)*-2)**2).\nAnswer: -sqrt(2)\/5 + 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7162*h - 3572*h - 10419 = 3521*h for h.\nAnswer: 151","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 182176?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.7 - 717.2.\nAnswer: -711.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of 0*l**4 + 11\/6*l**6 + 0*l - 3\/2*l**2 + 0*l**5 + 0*l**3 + 14. Find the second derivative of x(r) wrt r.\nAnswer: 220*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 6*p**4 - 7*p**4 - 5*p)*(-3 - 5 + 3).\nAnswer: 5*p**4 + 25*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/517 or -5.7?\nAnswer: -5.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -2. Solve -8 = -2*l + j*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 PM and 7:27 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1198600 divided by 149825\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -243048 = -4*i + 5*b, -111*i = -110*i - b - 60761. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of -4*o**7\/7 - 22*o**3\/3 - 17. Find the third derivative of g(l) wrt l.\nAnswer: -480*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a - 24. Let d(w) = -w + 9. Determine 11*d(n) + 4*z(n).\nAnswer: -3*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 1. Suppose x + 6*x - 70 = 0. What is the remainder when x is divided by 2*1\/m*-8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 197689382?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2)*(0*o - 3*o + 4*o) + 11 + 7*o - 11.\nAnswer: 9*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-1 + (4 - -1) + -7)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.06? (a) -1 (b) 2\/13 (c) 222 (d) -1\/3 (e) 4 (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*k - 211*k + 3474055000 = -99*k. Round k to the nearest 1000000.\nAnswer: 120000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 7, c: 4}. What is prob of picking 3 i and 1 c?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1413 divided by 111?\nAnswer: 471\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0269652 rounded to three dps?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1701 is divided by 211?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 718 + -9336\/13. Let t = -33 - -23. Let d = -7 - t. Sort 0.5, d, j in decreasing order.\nAnswer: d, 0.5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6622 and 231?\nAnswer: 19866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 766317571.\nAnswer: 766317571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 12 + 0 = 0. Solve -1 = v*j - 3*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 13 - 1)*(-2*f**2 + f**2 + 0*f**2)*(7*f**3 - 5*f**3 - 7*f**3).\nAnswer: 60*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*b + 3*c, -5*b + c - 2*c + 17 = 0. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*z - 458 - 1162 = 0. What is the remainder when z is divided by ((-4)\/(-6))\/(2\/36)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/10)\/((-47)\/470)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 186*y + 10104 = -1498*y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -769, 208, 1833, 4106, 7027, 10596?\n\"Answer: 324*l**2 + 5*l - 1098","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 + 18. Let m = -0.5 + 4.5. Suppose 2*p + 0*p + 4 = 0. Which is the third biggest value? (a) f (b) m (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -123 + -127. Let p be ((-1125)\/b)\/(-1 - 8\/(-2)). Factor 3\/2*x**5 + 0 + 0*x + p*x**4 - 3\/2*x**3 - 3\/2*x**2.\nAnswer: 3*x**2*(x - 1)*(x + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/(-4))\/((-30)\/8). Let s(p) = p**2 + 2*p. Let o be s(-2). Suppose o = -0*q - q + 1. What is the third smallest value in -3\/2, q, k?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2.7 (b) 2 (c) -0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 986938617?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fourty-five halves of a kilometer?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + p**2 + p + 1. Let a(s) = s**3 - 6*s**2 - 5*s - 5. Suppose 4 = -j - 5*o + 4*o, j - 4*o = 11. Let q = -285 + 280. Calculate j*a(n) + q*u(n).\nAnswer: -6*n**3 + n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5094, 25003, 74528, 168477, 321658?\nAnswer: 548879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (128\/(-28) - -8)\/((-2)\/(-21)). Calculate the greatest common divisor of k and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (65720\/5406)\/310*((-27)\/(-4))\/3\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 + 7*l + 7. Suppose -2*m - 7 = 5*z - 20, -2*m + 2*z + 6 = 0. Calculate the smallest common multiple of m and h(7).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1\/5 = -12188?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 4*f + 26 = 0, -5*t + 35 = -f - 3*f for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 815*v - 33718 = -6823 for v.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 618?\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -63049.06 to the nearest ten.\nAnswer: -63050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/5)\/(5\/(-50)). Suppose 19 + 11 = 3*q - n*z, -3*z - 40 = -4*q. Calculate the remainder when (-672)\/(-36) + 2\/(-3) is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*s + 6. Suppose -5*a + 0 - s = 0. Is 10 a factor of (-22 + 2 - -1)*a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75384349 is divided by 17442?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 204, 429, 670, 927, 1200, 1489, 1794?\n\"Answer: 8*g**2 + 201*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*f + 36*f = -235 - 115. Let m(q) = -7*q**2 + 4*q + 7. Let h(x) = -6*x**2 + 5*x + 8. What is f*h(p) + 6*m(p)?\nAnswer: -12*p**2 - p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 90020 and 7165592.\nAnswer: 35827960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12087920 to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -17.353 and 0.5.\nAnswer: -8.6765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 3*l**3 + 7*l**2 + 2722*l + 35. Let p(g) = -g**3 - 3*g**2 - 1361*g - 15. Calculate 7*p(r) + 3*v(r).\nAnswer: 2*r**3 - 1361*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2049033058 + -2049054411.50357. Let y = f + 21198.5035763. Let s = y + 155. What is s rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 381433 * 8.\nAnswer: 3051464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 129992013 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three tenths of a centimeter?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/(-120))\/((-3)\/(-18))*5?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*t - 2*t**4 - t**3 - 8*t + 3*t**3 in the form r*t**2 + v*t + d*t**4 + s + c*t**3 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 3343*g**3 + 2*g**2 - 1694*g - 3. Let k(x) = 6687*x**3 + 3*x**2 - 3388*x - 5. Let f(b) = 3*k(b) - 5*s(b). Find the third derivative of f(n) wrt n.\nAnswer: 20076","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + -3b?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (138 - -12)\/(-25).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 133488 (base 9) in base 5?\nAnswer: 10100243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 36 = 3*g, 0 = -4*g + g + 12. Suppose -5*d = 5*o + 3995, -2*d = -5*d - 4*o - 2396. Is (-1)\/(-3) - d\/a a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28 + 4. Let h = r - 20. Let s = -12.00039 + h. What is s rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from zzce?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 995 - -3714?\nAnswer: 43a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -5*t - 6. Let h(m) = 9*m + 11. Let q be 2\/(3 + -1) - 4. Let z(c) = q*h(c) - 5*w(c). Suppose -5*n = -9*n + 12. Give z(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9\/2*44\/99. Solve -25 = b*k + 3*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -45341 = 134.86?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 - -24. Suppose 75 = v*x + 3. Solve 3*g - 6*g + x = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of 0 - 1\/360*d**5 + 1\/144*d**4 + 0*d**3 + 0*d - d**2. Factor w(o).\nAnswer: -o*(o - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*p + 3*a, -2*p - 2*a = -3*a - 5. Is 96\/37 bigger than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1556 - 1656 + 3212 + s.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/7 in 2\/19, -3255, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4104 and 3822648?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 3 = -4*o, 12*s - 17*s - o = -3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -40 + 93. Let l = 62 - u. Suppose -8 = -4*c + 4*m, 3*c + 3*m + 0*m = 0. Calculate the highest common divisor of c and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + (4 - (-17 + 9)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 39 (b) -4 (c) 5\/4 (d) -24 (e) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, -657, -1361, -2087, -2841?\nAnswer: -3629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -67a (base 12) to base 3\nAnswer: -1022111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*x**3 - 93968388*x**2 - 551878574473212*x + 551878668441604 = 0. Calculate x.\nAnswer: -11746049, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4*-1311.74\nAnswer: -5246.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = y - 137. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a millisecond in microseconds?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/77)\/(158\/(-8848)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/497458 and -169\/30210?\nAnswer: 7461870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 37908 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2222*b = 21039 + 14513 for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16298*y**4 + 17350*y**4 - 125*y**2 - 3250*y**2 wrt y.\nAnswer: 25248*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -831 + 793. Let p = -167.74 - -205.7. Let s = l + p. Is 0.3 greater than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 - 1 = -5*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -33*d + 170. Let y be p(5). Factor 12\/5*a**3 + 0 + 8\/5*a**4 + 2\/5*a**y + 8\/5*a**2 + 2\/5*a.\nAnswer: 2*a*(a + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -13*s**2 + s - 1. Let r be t(2). Suppose -7 = -0*m + 4*m + 3*b, 0 = -3*m + 2*b - 18. Let q = m - r. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16491.\nAnswer: 3, 23, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 29 (b) -3 (c) 1 (d) 3 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207 - 213 = 3*s + 3*p, s - 5*p + 2 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 + 5*c**2 + c + 3. Suppose -d + 0*d + 5 = 0. Let z be p(d). Let b = -6 + z. Put -3, -2, b in decreasing order.\nAnswer: b, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (38 + 4 + 63)*(2*y - 2*y + y)*(-5*y**2 - y**2 + 5*y**2)*(3 - 1 + 1) in the form x*y + a*y**3 + n + h*y**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 198810\/2726 + -73 - 91\/(-58)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -18*r**3 - 111*r**2 + 3*r + 347. Let u(g) = -35*g**3 - 198*g**2 + 6*g + 694. Let n(b) = -9*t(b) + 5*u(b). What is the derivative of n(c) wrt c?\nAnswer: -39*c**2 + 18*c + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 11:57 PM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (16 - (1 - 4 - -6)) + 131 + -151\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 2557745.72 to the nearest one hundred thousand.\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -538760, -1077517, -1616274, -2155031, -2693788?\n\"Answer: -538757*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 AM and 5:50 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + a = -4*s + 80, 4*a = 3*s - 65. Suppose 4*y - 45 = 9*y. What is the remainder when 4 is divided by 3\/y + a\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 + 5*u - 6. Let a be j(4). Let b = 10 + a. Suppose 4 = 4*v - 0*v + 2*f, 4*f = -4*v + b. Solve -2*r + 4*h - 10 = v, -4*r - h = 10 - 35 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.7? (a) -0.1 (b) 0.28 (c) 0 (d) -12 (e) -3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - 15*l**2 - 14*l + 22. What is the remainder when 40 is divided by h(-14)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 172657 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-167 - 177 + 361)*(10*z + 0*z - z)*(7*z - 8*z + 17*z).\nAnswer: 2448*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.2215 + 0.2915. What is n rounded to zero dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 2730420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 254 = 5*d + 22, 2*s = 3*d - 152. Calculate the least common multiple of d and 252.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1510 + -861. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 54094?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, s: 5, w: 4, q: 4}. Give prob of picking 2 q.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, f: 1, q: 1, m: 1, c: 1}. Give prob of sequence cml.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 5*l + 14 = 3*l, -5*l - 5 = 0. Solve -v*d = -4*d + 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeee when four letters picked without replacement from jjjjjejjjjjejeejejj.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -2*y**5 - 164*y**4 - 1382*y**3 + 4284*y**2 + 7632*y - 10368 = 0?\nAnswer: -72, -12, -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 3*u - 0 + 1, -4*u = -2*c - 2. Let h = -4 - c. Put 5, h, -9 in decreasing order.\nAnswer: 5, h, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 - 9*f**2 + 5. Let i be r(9). Factor 2*v**4 + v - 13*v**3 + 3*v**i - 3*v**2 + 9*v**3 + v**2.\nAnswer: v*(v - 1)*(v + 1)**2*(3*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7185500757?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u**2 + 0*u**2 - 13 - 6 + 4*u. Suppose -2*s = -4*c + 44, 4*c + 3 - 43 = s. Is i(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -183*b**2 + 55*b - 1 wrt b?\nAnswer: -366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n + 1005587 = -5*d, -5*d + 0*n + n - 1005657 = 0. What is d rounded to the nearest 1000?\nAnswer: -201000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqvvqvvv. What is prob of picking 2 q and 2 v?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 1 (b) -1\/33 (c) 0.3 (d) -1\/21 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4\/5 (b) 4 (c) -4 (d) 3 (e) 45230 (f) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4 greater than or equal to 281?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k**3 - 3030*k**2 + 457440*k - 1781600 = 0. What is k?\nAnswer: 4, 262, 340","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 0. Let h(g) = 2*g**2 + 2*g - 10. Let z(j) = j**2 + 2*j - 7. Let b(p) = 3*h(p) - 4*z(p). What is b(u)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*t - 17*t + 4 + 311*t**2 + 10*t.\nAnswer: 311*t**2 - t + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 485b3 + -5?\nAnswer: 485aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 + -0.26. Let x = d - -0.135. Round x to two decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 16.7, 2\/11, 1, -0.07 in decreasing order.\nAnswer: 16.7, 1, 2\/11, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/6 - (-34)\/2. Suppose -j + 3*m = -i - 1, -j - 9 = 4*m. Let c be (30\/j)\/((-3)\/(-63000)). What is c rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, 0.1, -0.1, -8, 6\/7, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1865282269?\nAnswer: 19, 98172751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3.5 (b) -1 (c) 2 (d) 16861\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -348 - -502. Let t(o) = o**2 - o - 6. Let a be t(5). Calculate the greatest common factor of p and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r**(-1))*r)**(-32))**20*((r**12\/r)\/r*(r\/r**(3\/11))\/r)**(1\/3) assuming r is positive.\nAnswer: r**(-42133\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 16842000 to the nearest 1000000.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 72, -4 in descending order.\nAnswer: 72, 6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 - -15. Suppose -4*p - y*z + 0*z = -8, 3*z = -2*p + 3. Suppose -p*c = c - 140. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/((n\/(n\/((n*n**(2\/7))\/n)*n))\/n*n)))**21\/((n*(n**(-1)*n)\/n*n)\/n*n)**(-14))**7 assuming n is positive.\nAnswer: n**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -60 in 2.7, 0.3, -118.9?\nAnswer: -118.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.057369 rounded to three dps?\nAnswer: -0.057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*h = -67*h - 15 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 + a - 1. Let s(b) = 7*b - b**2 - 6 + 6*b**2 + 3*b - 6*b. Determine -4*f(y) + s(y).\nAnswer: y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -261, -357, -559, -933, -1545, -2461?\nAnswer: -3747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50247779 is divided by 729.\nAnswer: 725","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -16515 and 0.1?\nAnswer: -1651.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 299 and 70655?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 40239, 40238, 40237, 40236?\n\"Answer: -c + 40240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -505 + 499.94. Let x = -0.06 - j. Which is the nearest to 1? (a) -0.5 (b) -1\/3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 145 = -4*b. Let l = 32 + b. Find the second derivative of 7*h**3 + 0*h**l + 0*h**3 + 21*h + 0*h**3 wrt h.\nAnswer: 42*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 0. Suppose 22*n + 21*n = 1075. Suppose -29*o = -24*o + n. Sort o, l, 4, 3 in increasing order.\nAnswer: o, l, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, x: 1, o: 1, p: 1, e: 2}. What is prob of picking 1 b and 1 o?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*16\/(-4))\/(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a meter in centimeters?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*v - 116334 = -108*v + 227867. Is v a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100100011010 (base 2) in base 12?\nAnswer: 1422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117 - 39 = -33*y - 24. Solve a = 0, y*f + 3*a = 3 - 31 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (113 - 146) + 130 - 178?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-92 - 10 + 14 - 20 - 86)*(2*r**3 + 4*r**3 - 3*r**3).\nAnswer: -582*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-270)\/(-21))\/5*(-182)\/(-39)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 378*o + 6160 = -250*o - 19588 for o.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5259424099869.8810098 + 5259424994465. Let s = 894595 - y. Let m = s + 0.119. What is m rounded to 6 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - n**2 - 4*n + 2. Let t be d(3). Solve -t = -3*c + 7 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z**3 - 99*z**2 + 8020*z - 352 - 8204*z + 271*z**2 = 0 for z.\nAnswer: -44, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 5*d. Let t(u) be the third derivative of u**5\/40 + 17*u**3\/6 - 11*u**2. Let x(w) be the first derivative of t(w). Calculate x(n(r)).\nAnswer: 15*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + 678?\nAnswer: 676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1615 (base 8) to base 3.\nAnswer: -1020200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 84 = 82 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 54*g**3*r**2*y + 13180*g**3*r**2 - g**3*r - 345*g**3*y - 2*r*y + 5787*y wrt r?\nAnswer: 108*g**3*y + 26360*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of -i**2\/2 - 8*i + 48. Let w(g) = g**2 + 8*g + 7. Suppose 4*o - 2*j + 28 = -0*o, -5*j - 14 = 4*o. Let n be w(o). What is m(n)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8208) - -1*sqrt(8208)) + sqrt(57))\/(sqrt(363)*-2 - sqrt(363) - sqrt(363)).\nAnswer: -25*sqrt(19)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -3\/7*i**4 + 6\/7*i**3 - 6\/7*i - 9\/7 + 12\/7*i**2 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 14) in base 15?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kqpo when four letters picked without replacement from {t: 1, o: 1, q: 1, p: 2, y: 1, k: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 22, 47, 88, 145, 218, 307, 412?\n\"Answer: 8*u**2 + u + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*o**2 - 2*o**3 - 3 + 2 + 1.\nAnswer: -2*o**3 - 18*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1262674554 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -244036*z**4\/5 + 1465204*z**3\/5 - 2202253*z**2\/5 + 8898*z\/5 - 9\/5.\nAnswer: -(z - 3)**2*(494*z - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1380 + -1365. Calculate the remainder when 49 is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 - 5*o**2 - 4. Let x = 73 + -51. Let d(t) = t**2 - x*t**2 + t**3 + 15*t**2 - 5. Calculate 4*d(y) - 5*w(y).\nAnswer: -y**3 + y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 3*t = 11463, 135*a + 4*t = 132*a + 11463. Suppose -693 = 34*v - a. Is 93 bigger than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 262748?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 = 3*k + 639. Find the common denominator of k\/(-99) - 2\/9 and 41\/7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1068975314.\nAnswer: 2, 11, 101, 481087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (130\/(-20) - -6) + (-60141)\/(-2). What is c rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/10 of a kilometer?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 12, 4*f = 70*z - 73*z + 29228716. Round z to the nearest 100000.\nAnswer: 9700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**4 - 3*x**4 + 4*x**4)*(x + 1 - 1) + (x**2 + 0*x**2 - 4*x**2)*(-x**3 + 0*x**3 - x**3).\nAnswer: 10*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -46*y - 5. Let g(w) = -23*w - 2. Let o(s) = -7*g(s) + 4*t(s). Is o(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*5*772*(-7)\/(-4). Let o = -852 + w. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4985 by -997.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 487715, 976212, 1464709, 1953206, 2441703, 2930200?\n\"Answer: 488497*q - 782","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 560*q - 120 = 191*q + 187*q + 179*q for q.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-546)\/(-195))\/(80\/(-50))?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 + 14*w - 3. Calculate u(-14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -5. Suppose 4*t = -t - 5*d + 7535, -f*d - 2998 = -2*t. Let o = t - 6051\/4. Calculate the common denominator of 23\/4 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10\/193 - -123\/1351. Let y be (-33)\/198 - (-10)\/24. Which is the nearest to y? (a) u (b) -0.1 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31706 - 31705.6. Which is the third smallest value? (a) -2 (b) 72 (c) t (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*o**2*t*z + 2*o**2*t + 13*o**2*z + 14*o**2 - 8*o*t*z - 242*o*t + o*z wrt o.\nAnswer: 4*t*z + 4*t + 26*z + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/4)\/(2\/(-24)). Suppose -65 + 11 = -m*h. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -89*m**2 + 1. Let r(u) = -15*u**2. Determine v(r(h)).\nAnswer: -20025*h**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.752674 to two dps.\nAnswer: -2.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q**3 - 3*q**3 - 7*q**3 + 2*q**3.\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of -260*n**2 + 2*n + 11. What is the tens digit of o(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 4*l**2 + 8*l. Let r(s) = -7*s**2 - 15*s - 1. Let m(a) = 5*q(a) + 3*r(a). Let u(z) = -2581*z + 28387. Let b be u(11). Calculate m(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 49 and 682.\nAnswer: 731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(3\/2)\/((t\/((t\/(t\/(t*t**(-3\/8)*t)))\/t))\/t))\/(t**(-8\/9))**(18\/7) assuming t is positive.\nAnswer: t**(247\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 28 = 8*i. Let j = 0.1 + -0.6. Sort -5\/4, j, i in increasing order.\nAnswer: -5\/4, j, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f + 6. Let r be z(9). Let w be (((-2)\/r)\/((-18)\/24))\/(-2). Let n = -14.8 + 15. Which is the nearest to w? (a) -3 (b) n (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.6707 - -0.58958. Round i to two dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -27876*l - 1254419. Give z(-45).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1424, 443, -166 in descending order.\nAnswer: 443, -166, -1424","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7*(-18)\/84)\/(-3)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 25 - 2*(2 - 9). Calculate the greatest common divisor of g and 25701.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3 + 20)\/17)\/(17\/4)?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 14*w. Let d be (-1 + -9)*2\/(-4). Suppose d*z = -4*p + 4*z + 49, 0 = -4*p - 4*z + 40. Let f(b) = 13 + 4*b - p - 3*b. Determine f(c(l)).\nAnswer: 14*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 26, 50, 74, 104, 146, 206, 290?\n\"Answer: x**3 - 6*x**2 + 35*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 0)*(-5 + 16 + -6)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -990*d**2*m**4 - 802*d**2 with respect to m.\nAnswer: -3960*d**2*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 997791 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -11702.1 rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-2)*7\/(-14)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/7? (a) -0.24 (b) 4 (c) 5\/2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(7\/3))**(-9))**(4\/7))**(-48) assuming v is positive.\nAnswer: v**576","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c - 2543?\nAnswer: -2550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 4727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i + 8. Let c be g(0). Suppose 7*u - c = 5*u. Suppose 0 = -m - 0*b - 3*b, -3*m = u*b - 10. Calculate the remainder when 23 is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z\/(z**(1\/3)\/z*z)))**(2\/35))**(-3\/4)\/(z**2*z\/(z\/(((z*z**(-4))\/z)\/z)))**(-21) assuming z is positive.\nAnswer: z**(-2204\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1057744, -1057736, -1057708, -1057648, -1057544, -1057384?\nAnswer: -1057156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 101711423 - 2?\nAnswer: 101711421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 175 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 377957 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/5)\/(3\/(-2)). Suppose 5*j = 5 + 5. Let q be 2*j\/(-8)*2. Which is the closest to -1\/3? (a) i (b) 1\/5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 5 + 4*k - 5.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - (1 + 1))*1\/(-1). Suppose -28 = o - 5*o - 2*y, 2*o = -b*y + 14. Calculate the highest common divisor of o and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -145.029 - -145. Which is bigger: t or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 153*k**2 - 80*k**2 - 71*k**2 - 20 to x*k + b*k**2 + n and give n.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*((sqrt(637) - (1 + sqrt(637) + sqrt(637))) + -1)*-2 + 2)*-3)**2*5.\nAnswer: 52920*sqrt(13) + 1040760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 4*o. Let j(k) = k**2 + 32*k + 159. Calculate -7*a(m) + j(m).\nAnswer: m**2 + 4*m + 159","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-8)\/(-6))\/(6\/9). Suppose -s*k - 6 = -2. Let h be 0 + (-9)\/6 - -2. Is k != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5658 and 107502.\nAnswer: 107502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*l - 21*l + 78. Suppose 0 = 4*z + 4*q - 12, 3*z + 2*q - l = 2. Let c(k) = -k**2 + 2*k + 1. Give c(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18\/(3\/2 - 1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 13*u + 30. Let f be y(-9). Let l = f + 62. List the prime factors of 1\/(-5) + (-2105)\/l.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24 - -62. Suppose 5*w + 0*q - 2*q = 49, -q - m = -4*w. What is the lowest common multiple of w and 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 170701.8g to milligrams.\nAnswer: 170701800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.46 * -65.\nAnswer: 354.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35 (base 14) to base 5.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -104258 divided by 14894\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/203 and (20\/(-30))\/((97440\/(-981))\/(-8)).\nAnswer: 2030","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3355 - 3367. Which is the second biggest value? (a) -3 (b) 5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 218\/214 + 2 + (2 - 5). Let d = -111\/214 + h. Sort 0.1, -1, d.\nAnswer: -1, d, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -29*g + 4. Let k(l) = -6*l + 1. Let y(a) = 2*b(a) - 11*k(a). Let p(r) = -5*r + 1. Let u(z) = -5*p(z) - 3*y(z). Calculate u(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 9 + 15 = 0. Suppose 0 = -g*b - a + 1338 + 95, -5*a + 951 = 2*b. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 6*o, 84*r - 81*r - 4*o = -14 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3265 to 2 dps.\nAnswer: 0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-4*42\/(-32))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.12 (b) 842 (c) -34.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 109535 to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -255, 1 in ascending order.\nAnswer: -255, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*i + 7, 5*i = 5*b + 5. Let l(o) = -10*o + 5. Does 14 divide l(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + 0 + 0)*(23*x + x - 39*x)*(-4 + 4 + 5*x**2).\nAnswer: -150*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 7)*(p**3 + 2*p**4 - p**3).\nAnswer: 10*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1305 - -44189641.\nAnswer: 44188336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qcehrech. Give prob of sequence qhcr.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of -5\/4*k**5 + 0*k**3 + 0*k**2 + 23 + 27\/2*k**4 + 3*k + 1\/10*k**6. What is the third derivative of j(p) wrt p?\nAnswer: 72*p - 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 0.03, -0.37, -1\/2 in decreasing order.\nAnswer: 2, 0.03, 0, -0.37, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-4))**(21\/2)*g\/(g\/((g*g\/(g\/(g**(6\/5)*g))*g*g*g)\/g))*g\/((g*g*g\/(g**(-1\/9)*g)*g)\/g) assuming g is positive.\nAnswer: g**(5093\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 AM and 10:01 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2512408 + -2?\nAnswer: -2512411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 423 - 419. Suppose 3*q - 2 = w*r + 5, 0 = -4*q - 5*r + 30. Solve 0 = -4*l + 3*l + q for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nmqnnnqmmnmnmnnmn. Give prob of sequence nn.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.856 + -1318.856. What is the third smallest value in 0.1, 2, -0.03, r?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.71 at most as big as -9496069?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -t**2\/7 - 3349*t\/7 + 3350\/7 = 0.\nAnswer: -3350, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.1, -7\/6, -3, -1, 1\/12?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 233 or 205?\nAnswer: 233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h - 18*h - 12 = 0. Let w be 2\/(h*(-1)\/4). Suppose 13 = 4*c + 5. Solve -o - c*k = 1, -w = o - 0*k - k for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17.9 - -19. Let m = -46.9 + 53. Let j = y - m. Which is the third smallest value? (a) j (b) 0.4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/((-9)\/(-6)) + -2. What is the biggest value in 1, 0.3, b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3666199.\nAnswer: 101, 36299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 2\/794931 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-144)\/(-14))\/(2750\/(-9625)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of -k**5\/20 + 5*k**4\/4 - k**3\/6 + 19*k**2\/2 - 7*k. Let b be q(15). Solve -3*x + p - 4 = 0, p + 4*p = -x + b for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/224 and 71\/8.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.93 + 338.93. Let h = g + -336. Let j = -44 + 19. Which is greater: j or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60*(-3 + 88)*(-3)\/(-15)?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*((-18)\/(-4))\/3. Suppose i*w + 10 = w. Let g = -10 - -12. What is the third biggest value in 1, g, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - 14*u**2 - 13*u + 3. Let c be ((-65)\/(-10))\/(3\/(-6)). Let y be o(c). Solve i + 0 = 2*a - 2, 0 = 5*i - y*a + 10 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 47\/5 + -9. Find v such that -1\/5*v**4 - w*v**3 - 1\/5*v**2 + 0*v + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 9:16 AM?\nAnswer: 5:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.7 - -0.6. Let s = 1.54 - x. Let o = s + 0.16. What is the third smallest value in -4, o, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 4:25 PM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (87 + 1)*(1 - (-2)\/(-4)). What is the derivative of -l*y**3 + 12 + 20 + y**3 wrt y?\nAnswer: -129*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 35200 to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-2)*(-2)\/(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29827.\nAnswer: 7, 4261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -76.\nAnswer: -22.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25 + 22. Which is the third biggest value? (a) 0 (b) k (c) -5 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -24, -6.\nAnswer: -24, -6, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yee when three letters picked without replacement from eyye.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of -4*q**5 + 10*q**4\/3 - 5*q**3\/6 + 14*q. Factor l(j).\nAnswer: -5*j*(4*j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27544305769 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37 + 5. Let b = 112 - v. Calculate the greatest common factor of b and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -3*b + 52. Let t be z(0). Solve -25*w + 3 + w**2 - 4*w**2 + t*w - 28*w + w**3 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 - 9. Is 1\/(-2) - (-147)\/y a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (2*sqrt(810))\/((sqrt(30)\/sqrt(2))\/sqrt(3)).\nAnswer: 5 + 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2573?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -1. Let k(z) = z**2 - 2*z - 3. Let p be 2 + (1 - 1) + -1. Suppose -3*c - 17 = 7*v - 2*v, 0 = -3*c + v + 7. Let i = -1 - c. Give i*r(q) + p*k(q).\nAnswer: q**2 - 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(((-9)\/(-15))\/3). Suppose 5*b + 0*b + k = 0. Do b and -4\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 616837 and 6305.\nAnswer: 299165945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -133\/2 or -66?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-14)\/(-8) + (-12)\/16. Let q(g) = -o + 6*g + 2*g**2 + 3 - g**2. Let u be -5 - (-2 + 1)*0. Give q(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -41324700 to the nearest one hundred thousand.\nAnswer: -41300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 265 = -5*k, -183 = 4*d + 2*k + 307. Let u be ((-12)\/8)\/(2\/d). Let b = -63 + u. Calculate the remainder when b is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2834207309.\nAnswer: 17, 1709, 97553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.93 - 23.27. Let m = 3325 - 3300. Let k = m + x. Sort -0.28, 2, k in descending order.\nAnswer: 2, k, -0.28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 7) in base 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*o + 2250596 = 2251949 for o.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -8*k - 2. Let w(n) be the first derivative of 7*n**2 - 174*n - 181. Let c be w(12). Let i(y) = -9*y - 2. Calculate c*j(u) + 5*i(u).\nAnswer: 3*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -239*o + 147 - 252*o + 493*o.\nAnswer: 2*o + 147","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12071 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000262154094 rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 4) in base 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 3*z**2 - 21*z + 2. Let t be b(7). Factor -2*c**3 - 7\/2*c**t + 1\/2 - c.\nAnswer: -(c + 1)**2*(4*c - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 409 + -813\/2. Let s be -3 + 4 + 43\/(-45). Let w = s - 4\/15. Sort 0.5, w, l, -3.\nAnswer: -3, w, 0.5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/35)\/(-7*6\/35).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 101706902?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 16, z: 4}. What is prob of picking 2 z?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = g - 0*g, 5*g = 15*u - 18*u - 13 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -9*g - 21 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1794)\/(-78) - ((-9119)\/(-506) + 5)?\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (46 - 39) + -2 + 2\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 179662876?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11\/19 + 115\/133. What is the third smallest value in 0.3, 0, q?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -l + l**2 - 27795606*l**4 + 27794906*l**4 + 3 - l**3 + 3*l**3 as w*l + s*l**3 + g*l**4 + h*l**2 + q and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1, -3, -39, -125, -279, -519?\n\"Answer: -3*c**3 + 2*c**2 + 11*c - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 3*i = 12, 4*m - 5*i + 20 = 3*m. Suppose 4*l + 0*l + 23 = -b, m = -4*b - l - 17. Is -8 greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*w - 12347 = 275941. Is 32 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/((-11)\/(-5) - 2). Suppose -5*r = 5*b + 40, 0 = 13*r - 8*r + 25. Put d, b, -6 in descending order.\nAnswer: d, b, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, 0.01, 7, 0, 2?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 339 (base 14) in base 11?\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - -3) + -15 - -2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 474 - 472. Solve -7*h - 5 - y = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.24 + -0.2. Let q = h - -0.36. Let v = 42.7 + -38.7. What is the smallest value in v, -2\/3, q?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -88 divided by 22?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-66)\/110)\/(2\/(-20)*-63)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 12536, 25073, 37610?\n\"Answer: 12537*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = p - 1872, 5 = -5*i - 0. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 2*z + 4148 = 0, 7044 = 4*b - 2*z + 1518. Is 13 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 429?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 522 and 517 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 + 4*b. Let y be r(-4). Suppose y = q + 46. Solve 12 = q*w + 2 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p - 3. Let n(j) be the third derivative of 2*j**2 + 0*j + 1\/6*j**3 + 0. Calculate -6*n(s) - 2*r(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 379735.\nAnswer: 5, 173, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1847 + -5397\nAnswer: -7244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 471 + -153. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/10 - 126\/30. Let y be 25 + -6*k\/8. Is 20 a factor of (1 + -2)\/((-1)\/y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -10885, -19496, -28113, -36742, -45389, -54060, -62761, -71498?\n\"Answer: -r**3 + 3*r**2 - 8613*r - 2274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aayayydydydyy. What is prob of sequence ya?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23046?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -0.022, -0.4, 308?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11826135.\nAnswer: 3, 5, 17, 5153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 - 18*m**2 + 2*m + 44. What is d(-18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/189)\/(3\/(-9))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 13794\/814 + 4\/74. Let x be (1 - 4)*26\/(-6). Solve -2*w + 0*w - 3*i = -v, 0 = -2*w + 3*i - x for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5*sqrt(18)\/sqrt(3))\/(-3*sqrt(12)\/sqrt(4)) - (-5 + -1 + 5*sqrt(162)))*-4)**2.\nAnswer: -8960*sqrt(2) + 632384\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7393 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 = 2*u + 112*i - 106*i, 2*u + 2*i = -34 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -59 + 61. Suppose n + 2*v = 423, 0*n - a*v = -3*n + 1285. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1305.972 or -606?\nAnswer: -606","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 8, d: 5}. What is prob of picking 3 u and 1 d?\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21016912 + 21016897 + 0*a**3 + 0*a**3 + 5*a**3 - 42033809.\nAnswer: 5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 174*(-2)\/(-252) - 8\/6\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 235 - -2?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-546)\/(-234))\/(1*2))\/((-1)\/(-2)).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 84118 to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of -6*a**5 - a**3\/3 + 226*a + 277. What is the derivative of f(z) wrt z?\nAnswer: -120*z**3 - 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 10875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -s + 36. Let o = -18 - s. What is the greatest common factor of o and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -114, -2, -0.2, 287, -0.09?\nAnswer: -114","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + 513025)\/(5 - (-912)\/26). Let x = b - 12801. Which is smaller: -1 or x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-41)\/123*(21\/6 - -3))\/((-26)\/156)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - 18*m**2 + 17*m + 4. Let d be j(17). Suppose p + 0*k = -5*k + 2, -k = 2*p - d. Suppose -4*x + 258 = p*x. Is x a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 6. Let o = -3 - 0. Let l = i + o. Sort 5, 3, l in decreasing order.\nAnswer: 5, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000715665233 rounded to 7 dps?\nAnswer: -0.0007157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001649 rounded to seven dps?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7999 - 20326 = -25*j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3\/5 - 6918*n**2\/5 - 746640*n - 469977184\/5.\nAnswer: 2*(n - 3947)*(n + 244)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-21*(1 + 4 + -4))\/(-1). Suppose 3*l - q = -0. Is (-1142)\/(-6) + l\/(-21) a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 10*u = 3*k + 54, 5*u = -2*k + 64. Let c(o) = 5*o - 16. Calculate the remainder when 3 - 2 - (-84 - -1) is divided by c(u).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 47882 and 178?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 38 - 17. Let h = g - 19. Suppose -4 = 4*j, h*i - 5*i + 631 = 2*j. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + o - 160 = -886, -3*i - 2*o = 430. Calculate the common denominator of (-102)\/(-8) - (-12 + 33) and ((-270)\/(-136) + -2)*i.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -0*q. List the prime factors of q + 9*(-2 + 3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/9 - (-1962)\/81. Let o = -23 + z. Suppose -r = 3*v - 37 + o, 87 = 2*r + v. Is r a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14*20860424\nAnswer: -292045936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*a + 36*a = -143. Is 11 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17147*f**3*n*x**2 - 10282*f**3*x**2 - n*x**2 with respect to n.\nAnswer: -17147*f**3*x**2 - x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 2 - 3 + 3 + 1 + 3 - 3 - 1 + (-1 + 0 - 1)*(0 + 3 - 1) + 1 + 2 - 2 + 2 + 2 - 6)*(3*r + 41*r + 18*r).\nAnswer: -186*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 + 10*x - 33. Let a be j(6). Let t(y) = y**2 + 16*y + 63. Let h be t(a). What is the fourth smallest value in h, 0.4, -2, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6243292.6 to the nearest 100000.\nAnswer: 6200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/(32\/4)*2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6 - 1*-1*-1. Let u(n) = n**2 - 10*n + 4. Let g be u(10). Suppose i + 2*m = 8 + 3, -3*i + m - 9 = 0. Put g, f, 0, i in descending order.\nAnswer: f, g, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -34031872\/3 or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from wwewwewnwekrweeor.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/2 or 606751?\nAnswer: 606751","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2553441, 5106891, 7660351, 10213821?\nAnswer: 12767301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/9 - (-2)\/9. Let s(r) = -r**3 - r**2 + 2. Let a be s(g). Suppose -53*i + i**3 - 2*i**3 + 53*i + i**a = 0. What is i?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 350 and 14938175.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 11*q**3 + 2*q**2 - 4*q + 3. Let f be r(1). Let u be 4\/14 - 54\/(-7). Let s be 2\/u + 670\/8. What is the greatest common divisor of s and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -170.44 to the nearest 10.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i - 751*i**2 + 5*i + 3 - 11*i + 208*i**2.\nAnswer: -543*i**2 - 2*i + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 + 6*f + 4. What is the units digit of y(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 406 + -360. Let i be 1035\/m*(-4)\/(-10). Let l(z) be the second derivative of z**3\/3 - 13*z**2\/2 - 2*z. Calculate l(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/(-33) - 2\/6. Let q = 6 + -9.6. Let g = -0.4 + q. Which is the second biggest value? (a) -0.1 (b) r (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4647905?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 41*x - 4015. What is the remainder when x is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 573*s + 273. Does 21 divide m(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 231*12.49\nAnswer: 2885.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1)\/k)**(-13\/6)\/(k**(2\/7)*(k*k**0)\/k)*((k**(-2\/7)*k)\/k)**(-1)\/((k**(2\/3)\/k*k)\/(k**(-3)*k)) assuming k is positive.\nAnswer: k**(5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 3*l + 23, -5*s + 20 = -4*l - 20. Suppose 4*w - v + 5*v - 128 = 0, -s*w - 5*v = -127. List the prime factors of w.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 j, and 1 r when three letters picked without replacement from {j: 1, e: 3, r: 9, z: 1, k: 1, i: 3}.\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - w - 1 = -5*q, -4*q + 14 = 2*w. Suppose -6 = -2*s - 2*t, 0 = -4*s + t - 0*t + 22. Solve -s = -y + u - 0, y - w*u - 7 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6860?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/5 - 550184*q**2\/5 + 37837254042*q\/5 + 75676708836\/5.\nAnswer: 2*(q - 137547)**2*(q + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/162 and (-2010)\/(-432) + ((-65)\/(-40) - 2).\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -780327?\nAnswer: 1560654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*o - 8902 = 379*o + 5510 - 3084 for o.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 759112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 94\/(-6) - (-19)\/((-513)\/(-18)). Let y be ((-2)\/4)\/(m*4\/72). What is the second biggest value in y, 0.02, -0.4, -4?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2*l = 0. Suppose l = -4*t + 7 + 5. Let j(n) = 4*n - 2. Give j(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 9265.091ug?\nAnswer: 0.009265091","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1205257 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 720 or -4\/11?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -0.0854825?\nAnswer: -0.0854825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a factor of 1195696663?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + m - 6, -2*k - 3*m - 2 = 0. Find the third derivative of -205*i**k + 6*i**5 + 3*i**5 - 5*i**5 + 173*i**2 - 1 wrt i.\nAnswer: 240*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 273807 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.69 + -0.31. Let k = 110 + -53. Let y = -54 + k. What is the fourth smallest value in y, -2, 0.4, v?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 23759*a*u**2 + 7*a - 545368*u**2 wrt a?\nAnswer: 23759*u**2 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 12718 divided by -69\nAnswer: -12718\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*l + 574 = -125*l. Put -2, l, 3 in ascending order.\nAnswer: l, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - ((-288)\/(-20) + -14)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/1 - 22\/(-55). Let j be 5\/(-21) - (-9)\/(-21). Let f = 8 - 3. Which is the closest to j? (a) 3 (b) f (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16222 + -16220. Let h(j) be the first derivative of -40\/3*j**3 + 5*j**4 + 45*j - 15\/2*j**l - 6. What is b in h(b) = 0?\nAnswer: -1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - 6*v**2 + v - 3. Calculate b(-3).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -842*x**2 + 1786.\nAnswer: -1684*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of -r**3\/6 + 2*r**2 + 2*r. Let b be t(-4). Let y(s) = s - 5. What are the prime factors of y(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -7 + 6 + (-78)\/(-12).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20.0702 + -0.0702. Which is the second biggest value? (a) -5 (b) 4 (c) u (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - (-2)\/(-2) - -3. Let h be 46*2\/16 - 6\/8. Let v be h\/1 - (-9)\/(-9). Solve m = n*q - 15, v*m - 15 = 2*m - 3*q for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 7210944?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (22\/(-132))\/((-2)\/(-9)). Let t be (1*-1*-1)\/1. Is x less than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(100)\/(sqrt(5)*-3))\/(sqrt(100)*2).\nAnswer: -sqrt(5)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**4\/3 + 436*w**3\/3 + 2158*w**2\/3 + 428*w - 1293.\nAnswer: (w - 1)*(w + 3)**2*(w + 431)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.023 - 21.023. Let m = f - -20.74. Let p = m - -2.26. Which is the closest to p? (a) 0 (b) 3 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/122 and 59\/58748.\nAnswer: 3583628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, d: 4, b: 3}. Give prob of picking 2 b and 1 d.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 1.5. Let l = 0.38 - 0.6. Let j = -1.78 + l. What is the third biggest value in 3, j, z?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*x**2 + 10*x**2 - 2*x**2 + 6*x**2.\nAnswer: 21*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 78 = -3*w, 0 = 2*w - h - 3*h - 70. Is 5 a factor of (15\/(-2))\/(w\/(-406))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 187*h - 174*h + 20 + 19. Let o be g(-3). Solve -5 = 5*i - o for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.68697357 to four decimal places.\nAnswer: 2.687","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 83598 + -9?\nAnswer: 8358b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 26698563 or 26698569?\nAnswer: 26698569","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 25 in 12, -41\/4, 0.179?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 + 19. Find the third derivative of -5*q**2 - 3*q**3 + q**2 + s*q**2 wrt q.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11350, -11588, -11980, -12526?\nAnswer: -13226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a hour in seconds?\nAnswer: 2160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 1283*b**2 + 52*b + 2. Is k(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42, -34, -8, 30, 74, 118, 156?\nAnswer: 182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 3*z**2 + z - 4. Let o be q(2). Let g(l) be the third derivative of 0 + 0*l - 3*l**o + 1\/30*l**5 + 1\/3*l**3 + 1\/6*l**4. Factor g(j).\nAnswer: 2*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 AM and 11:06 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*g**5 - 7*g**4 + 30*g**2 wrt g.\nAnswer: 120*g**2 - 168*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28593962, -28593961, -28593960, -28593959?\nAnswer: -28593958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27 - -43. Let p = s + -11. Solve p - 1 = -a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-123)\/2)\/((-36)\/24). Solve 43*o - h*o = 12 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.464098 + -0.064098. Let h be 1\/(10\/(-4)) - 0. Which is the nearest to h? (a) j (b) 5 (c) -2\/9 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 222 = -75. Let g = 22 - x. What is the highest common factor of g and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 7)*(-2 + 2 + 2*l)*(2 - 4 - 1).\nAnswer: 36*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.979349416 rounded to 2 decimal places?\nAnswer: -1.98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(7 - 192\/28). What is the greatest common divisor of 2 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-20)\/8*24\/(-4). Suppose 6*l - p = l. Let v(k) = 5*k**2 - k + 1. Let u be v(1). Solve -2*c = -u*n + 6, 0 = -2*n - c - 0 - l for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24552 and 91595328.\nAnswer: 8184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -447, -500, -589, -714, -875?\n\"Answer: -18*q**2 + q - 430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 5*r - 78 = 0. Let o = 22 - r. Let u = 19 - o. Is u a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (0 - -1 - (17 - (-18 - -37)))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -214*h**3 - 301*h**2 - 3608*h + 46?\nAnswer: -1284*h - 602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a factor of 61196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 126, 273, 422, 573?\nAnswer: 726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 2. Suppose -3*v + s = -6. Let q be 0 + v - (-5)\/(-2). Which is the third smallest value? (a) -2\/25 (b) -0.5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 669*y + 1. Let o(k) = -k. Give h(o(s)).\nAnswer: -669*s + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r**3 - 76*r**2 - 78*r - 62. Determine v(39).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*z - 35 = -20*z + 5*r, 7*z + 3*r + 21 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-4\/7)*k**(-3\/2))\/(k*(k**(1\/5)*k)\/k)**(-2\/101) assuming k is positive.\nAnswer: k**(-14477\/7070)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/3, -45\/2, 161?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - d + 1345 = -2*p, -p = -4. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2)*i)**(1\/11)\/(i**(-2\/9)*(i\/(i**(-4\/11)\/i))\/i))**(-6) assuming i is positive.\nAnswer: i**(244\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.13572953 to 4 decimal places.\nAnswer: -0.1357","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004455048 to four decimal places.\nAnswer: -0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2544421320 a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + 11*m**2 + 283*m - 108. Suppose 3*g = 35 + 88. Let y = g - 22. What is the remainder when p(23) is divided by y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -7 (b) -1\/4 (c) -701.3 (d) 2\/3 (e) 5 (f) 0 (g) -1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -31 (b) 1\/7 (c) 2\/37 (d) -2\/9 (e) -448 (f) 0.07 (g) -0.4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1)*(15 - 212*u**2 + 210*u**2 - 4 - 13*u).\nAnswer: -4*u**2 - 26*u + 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 104 + -78. Suppose -l*p + 392 = -22*p. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**(-6\/11)*g*g**3*g*(g**(-3\/5)*g)\/g**(-5)*(g*g\/(g\/(g*(g*g**(-3\/5)*g)\/g)))\/((g*g**(2\/7)\/g)\/g)*(g**(1\/4)\/g)\/g**(-3) assuming g is positive.\nAnswer: g**(24977\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129*i + 597 = 70*i. Solve -77 = -4*n - 73, 0 = -3*f + i*n - 12 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = -220*k - 1736 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1108 and 1.4?\nAnswer: -0.15512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31886.24 centimeters to nanometers.\nAnswer: 318862400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*p = -69*p + 81760 + 53312. Calculate the remainder when 1416 is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 294*l - 269*l - 75 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2470 + -2457. Let n = 79 + -43. Let f = -10 + n. What is the greatest common divisor of f and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 312.0135ng?\nAnswer: 0.0000000000003120135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24581\/6487 - -10\/499. Let i = -1676 + 36849\/22. Calculate the common denominator of i and x.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1431 - -359.1214?\nAnswer: -1071.8786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 3*l - 927 = -2*l, -4*r + 730 = 5*l. List the prime factors of r.\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -29504, -59013, -88520, -118025, -147528, -177029?\n\"Answer: d**2 - 29512*d + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 4*y - 13, 0 = x + 2*x - 2*y - 11. Let b(t) = t**3 - 7*t**2 + 3*t. What is the remainder when 83 is divided by b(x)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of -m**9\/5040 + m**5\/20 + m**4\/6 - 4*m**2. Let o(h) be the second derivative of j(h). Differentiate o(n) wrt n.\nAnswer: -12*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*sqrt(704))**2 - sqrt(704))*-2 - (sqrt(704) + -2 + sqrt(704))*6 - (4*(sqrt(539)*-6)**2 + -3)) + 4.\nAnswer: -90269 - 80*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1134 times -10?\nAnswer: 11340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -43*u**2*z + 9148*u*z + 3*z + 1339041 wrt u?\nAnswer: -86*u*z + 9148*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (70\/25)\/((-1)\/5). Let g be 2 - (-2)\/((-4)\/n). Suppose -2*k = k - g. Solve -k*d - 12 = d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1563*p - 837*p = 856*p + 1300 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -155 + 159. Suppose 3*h + 2*l - 1263 = 3420, w*l = 0. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, p: 3}. What is prob of picking 3 p?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 122.2707 - 0.1\nAnswer: 122.1707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -7*c**2 - c + 1. Let x be a(1). Let m(j) be the second derivative of -5*j**3\/3 - 5*j**2\/2 - 5*j. Is m(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a + 2. Calculate p(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 272, 253, 222, 173, 100, -3, -142, -323?\n\"Answer: -a**3 - 12*a + 285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 33 = -2*c, -12*y = -8*y - 5*c for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 37081 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kv when two letters picked without replacement from kkkvv.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 44*p + 43*p + 3 as w*p + x and give x.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1192362, 1192379, 1192396, 1192413, 1192430?\nAnswer: 1192447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(198) + (sqrt(198) - -1*sqrt(198))*6 + sqrt(198))\/(-3*sqrt(27)\/sqrt(3) + sqrt(9)))\/((sqrt(242) - -4*sqrt(242))*-4*-6).\nAnswer: -7*sqrt(11)\/1320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 423918 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: Let x(q) = 369457*q - 369411. Calculate x(1).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2079 a multiple of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*3\/6*-2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 10:59 PM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23 - 5. Calculate the remainder when a is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28 - -24) + 8 + (7 - 14).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is 7284767 to the power of 1\/3, to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*w**2 - w**2 - 11*w**2 - 1 + 2.\nAnswer: -29*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 30 - o - 62 + 30 + 4*o**2 as f*o + r + k*o**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 35045 + 3436?\nAnswer: 40503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -1285*i - 10282. What is m(-8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l - 2*l - 6*l**2 + 16 - 220*l**3 + 7*l - 5*l + 219*l**3. Calculate g(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f**5\/2 - 3*f**4\/2 + 639*f**3\/2 + 4659*f**2\/2 + 1596*f - 14994 = 0 for f.\nAnswer: -7, -6, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -53*i + 170 wrt i?\nAnswer: -53","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 6875*r. Let i(w) = 2*w - 138. Give y(i(o)).\nAnswer: 13750*o - 948750","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, -17, 2, 22 in increasing order.\nAnswer: -17, -1, 0, 2, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1406732 - 26016.74.\nAnswer: -26016.8806732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 466868754.\nAnswer: 2, 3, 11, 2357923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/7103, -5, -121?\nAnswer: -121","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 244 - 152. Suppose -3*c = -7*c + j. What is the remainder when c is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 122.4 - 137. Let u = -15 - b. Suppose 3*d + 2*i = 0, -d + 0*i + 3*i - 11 = 0. What is the third smallest value in 1, d, u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.9 + -11220?\nAnswer: -11235.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 m when two letters picked without replacement from mveemxeemm.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kl when two letters picked without replacement from kluuuhsuussssssh?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7952566 and 2.\nAnswer: 7952566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of -8*o**3\/3 + o**2\/2 + o. Let j be w(-1). Let y be (-28)\/126 - 2\/(-9). Solve 2*c - c = 5*m, y = 2*m + 3*c + j for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 3 + 58 = 3*v, z + 2 = 2*v. Let r be (24 - 20)*2\/z. Let i(g) = 5*g**2 - 1. Let l be i(1). What is the greatest common factor of r and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6.8 + -43.8. Let g = b - -36.946. Round g to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-44)\/(-55))\/((-22)\/(-15)). What is x in -4\/11*x + 2\/11*x**5 - 6\/11*x**2 + 2\/11*x**3 + z*x**4 + 0 = 0?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -9*x**2 + 8*x + 59. Let u(q) = 17*q**2 - 17*q - 117. Let a(c) = 11*n(c) + 6*u(c). Let l(y) = -y**2 + 1. Let t(h) = 3*a(h) + 12*l(h). Factor t(v).\nAnswer: -3*(v + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 9\/8 (b) 4\/7 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5375 = 43*b - 0*b. Is b a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-8)*(1644\/(-42) + 39)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 12:25 PM?\nAnswer: 651","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 170, 4 in decreasing order.\nAnswer: 170, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2. Let f(a) be the second derivative of 0*a**3 - 2*a + a**2 + 0 - 1\/12*a**4. Let m(v) be the first derivative of f(v). Calculate p(m(t)).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from iovioiovvoooo.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*h - 53*h**2 + 7*h.\nAnswer: -53*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 9:49 AM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 2*t + 1 = -3, 0 = 4*c - 3*t - 10. Suppose -3*u - a + 126 = 0, -c*a = 2*u - a - 77. Calculate the remainder when u is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r + 5*r, -3*x + 9 = -5*r. Suppose -x*j + 712 = j - 2*i, 0 = 2*i - 8. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*f + 6*f + f - 144 for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 - 98 + 24 + 33 + 21 - 332*y.\nAnswer: -332*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*r**3*y - 757249*r**3 - 7*r**2*y - 4*r**2 + 21*r + 5*y - 2 wrt r.\nAnswer: 12*y - 4543494","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 102397?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12167541605.9999567 + 12167542387. Let t = z + -781. What is t rounded to 6 dps?\nAnswer: 0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus -69.59?\nAnswer: 67.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 1 + 2)*(-2*f + 0*f + f)*(5*f**2 - 3*f + 3*f).\nAnswer: 15*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5205 * -321.\nAnswer: -1670805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 times 45.309\nAnswer: -27.1854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 138*u**3*z**2 + 28*u**3*z + u**2*z wrt z?\nAnswer: 276*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, e: 3, d: 3}. What is prob of picking 2 d, 1 e, and 1 h?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3252 + 3238.09. Let n = 14.32 + 0.18. Let p = n + m. Round p to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23313 - -23318. Solve 0 = 5*o + 10, -5*q + u*o + 29 = 24 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 3*u + 1537 + 1936 = 0, 5*u = -k + 677. Calculate the greatest common divisor of k and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2145 and 38777817.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2 (b) 6608 (c) -8\/7045 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-12)\/14)\/((-66)\/308). Suppose 0*f = f + 3*m, -f - r*m = 4. Is 12 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -237 = 12*h - 261 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 27.9?\nAnswer: 5.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -896*m**3 - 93*m**3 - 31*m - 945*m - 286*m wrt m.\nAnswer: -5934*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*h**3*v**2 - 93*h**2*v**3 + 71*h**2 - 29*h*v**3 + 8*h*v - 191*v**3 wrt h?\nAnswer: 36*h*v**2 - 186*v**3 + 142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 98379.34ml?\nAnswer: 98.37934","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 571 + -572. Let j = -79974 - -560712\/7. Let o = 128 - j. What is the closest to p in -1\/4, o, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of 5*o**3\/3 - 3*o**2 + 8*o - 127. Let z(x) = 14*x**2 - 17*x + 23. Calculate 17*w(h) - 6*z(h).\nAnswer: h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/4)\/((-8)\/6) - (-38401)\/(-418920)?\nAnswer: -7\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32541407?\nAnswer: 3433, 9479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 6) to base 8.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.93 + -0.07. Let t = -275\/119 - -17\/7. Sort -5, t, i in decreasing order.\nAnswer: t, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1664173 a multiple of 217?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 4*y)*(1 + 2 + 2).\nAnswer: 20*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -45, 0.4, -9.7 in decreasing order.\nAnswer: 0.4, -9.7, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 8*f. Suppose 4*p + f*p = 0. List the prime factors of p\/(-2) + 9 + 11.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/((-35)\/(-4)))\/(12\/(-42))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 624\/(52\/4)*(-4)\/12?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -9*w. Let o(r) be the second derivative of -r**4\/6 + 7*r. Give o(j(n)).\nAnswer: -162*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - 223\/3 - -3. Let q = k - -74. Let v = 3.82 + -3.82. Which is the nearest to -1\/3? (a) v (b) 0.3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-42)\/30)\/((-14)\/(-70))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 99 = -21. What is the remainder when 46 is divided by f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m + 2*u + 18, 53*u - 48*u = -m - 29 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151 = l - 3406. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, p: 1, c: 3, y: 1, t: 6, z: 4}. What is prob of sequence cyp?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -4\/12831, -0.3, -19\/4?\nAnswer: -4\/12831","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4460 (base 9) to base 4\nAnswer: -303132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45365943 is divided by 270.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-6)\/42*(-7)\/2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + r - 2*r + 268, 0 = 4*s - 2*r + 272. Let i be ((-6)\/(-2))\/((-1)\/s). What is the greatest common factor of i and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - i - 16, 2*l = 4*l - 3*i + 8. Let n = -9795\/16 - -612. What is the common denominator of n and ((-3)\/l)\/((-10)\/(-164))?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -298*h - 493 = -327*h for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 25 = -5*s, 4*v - 1 = -3*s + 3*v. Let r = -73499\/6 + 12240. What is the common denominator of (1\/12)\/(s\/(-98)) and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -168*p**2 - 7*p - 10. Let d be h(6). Round d to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1398787 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 18376 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - 390d?\nAnswer: -390f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*y + 984*q - 196 = 985*q, 0 = y - 4*q + 18 + 1 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d and 1 q when four letters picked without replacement from qqdqqqnddqqssnddnqqs.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1637550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6 + (-3)\/((-6)\/(-4)). Suppose -i*p - 104 = -0. What is the remainder when 23 is divided by ((-2)\/2)\/(2\/p)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1412139+-681794419\nAnswer: -683206558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000043552 to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 211275 - 267*o**3 + 34*o**3 - 17*o**3 - 211275.\nAnswer: -250*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of f**5\/2 + f**4 + f**3\/6 - f**2\/2 + 5. Determine o so that r(o) = 0.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -10*j**3 - 5*j**2 - 7*j - 2. Calculate t(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (12 - 21) + 2*6\/4. Calculate the remainder when (1 + n)\/(-10)*146 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 k, and 1 h when three letters picked without replacement from {i: 2, k: 1, h: 1, q: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3901*b*k**3 - 3*k**3 + 11*k**2 + 27 wrt b.\nAnswer: -3901*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -2624, 5, -4\/7, 1\/2, 0.3 in increasing order.\nAnswer: -2624, -4\/7, 1\/4, 0.3, 1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is 122113041 (base 5) in base 16?\nAnswer: 8e27f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 7\/3, -4, -10 in decreasing order.\nAnswer: 21, 7\/3, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 26758?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5 + (-1 - -1))\/((-19)\/57). Solve 9*u - 12 = c for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22 - 8*b**3 - b**3 - 49*b + 102*b - 53*b to d + s*b**2 + k*b + f*b**3 and give f.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 41197, 41187, 41163, 41119, 41049, 40947, 40807?\n\"Answer: -c**3 - c**2 + 41199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -22 - -18 - 2\/2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1344 + -1335.97. Let f = 0.03 - y. Let v = f + 4. Which is the second biggest value? (a) 0.3 (b) v (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*g + 0*g - 2*g)*(-1 + 2 + 0) + (g + 2*g - 4*g)*(-8 + 27 + 10 + (-1 + 0 - 1)*(2 + 0 - 3)))*(10*g + 18 - 18)*(2*g**2 + 3*g**2 - 6*g**2).\nAnswer: 330*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/30)\/(1 - 33\/18).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -34*a. Let y(u) = -10*u - 16*u + 37*u - 12*u. What is t(y(s))?\nAnswer: 34*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16584 - 10409. What are the prime factors of k?\nAnswer: 5, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 65490 and 3322290.\nAnswer: 1770","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - u**4 + (4*u - 4*u + 2*u**3)*(-u - 3 + 3) + 0*u**3 + 0*u**3 + u**4 - 9*u**4 + 4*u**2 - 17*u**4 + 17*u**4.\nAnswer: -11*u**4 + 4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + 12*q**2 - 11*q + 6. Let v be h(11). What is the first derivative of -10*y**3 - 12*y**2 + 12*y**2 + 11 - v*y**3 wrt y?\nAnswer: -48*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h**3 - h**2 - h - 1. Let d(v) = 6*v**3 - 4*v**2 - v - 4. Let o(w) = -d(w) + 3*j(w). What is o(1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211*m - 2261 = -68*m + 1924 for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - 4*p**2 + 2*p - 20. Let f be m(-5). What is the smallest value in 1\/5, -14, -2\/7, f?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 2*r + 140. Let t be (-90)\/r*(-4)\/(-2). Let m be 0\/(((-4)\/(-6))\/((-3)\/t)). Let d(k) = k**2 - k + 1. Calculate d(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 455339 is divided by 26784?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 42\/5 of a decade?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*j - 9*j + 24. Suppose -2*b + 12 = -5*f, j = 4*b - f - 4*f. Calculate the least common multiple of b and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m**2 - 18*m + 19. Let r be x(-7). Suppose r*j = 43*j + 12. Put j, 8, 2 in increasing order.\nAnswer: 2, j, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7327*p**3 - 2448*p**3 - 2443*p**3 - 2454*p**3.\nAnswer: -18*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 55570 to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 AM and 10:35 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/6 and (30\/2072)\/(-7 + (-3725)\/(-575))?\nAnswer: 12432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - k**2 + k + 2. Let p be (4\/(-6))\/((-1)\/(-3)). Let s be x(p). Differentiate 2*g**s + 1 - 4*g + 4*g with respect to g.\nAnswer: 8*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 PM and 1:52 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - 11*t + 34. Let n be s(6). Let u be n\/6 - ((-28)\/(-6) + -7). Solve 11 = u*g - 4*o + 30, 4*o - 16 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 486*f + 1452. Give m(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y and 1 s when four letters picked without replacement from yysyssssss?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -51 and 0.405?\nAnswer: -20.655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of 0*y**5 + 0*y + 0 + 0*y**4 + y**3 - 25*y**2 - 7\/40*y**6. Differentiate t(d) wrt d.\nAnswer: -63*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -5*t**3 + 42*t**2 - 2*t - 111. Calculate r(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 239172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 - 3*b - 4. Let o be m(-3). Let g = 0.4 - 0.9. Let k = g - -3.5. What is the nearest to -0.1 in -0.2, o, k?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (0\/(-1) - -963) + (-130)\/(-26) is divided by 198?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*r**3 - r + 13*r**3 - 4*r)*(3*r - 3*r - r) - r + r**4 + r.\nAnswer: -r**4 + 5*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -52 * 2.29.\nAnswer: -119.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19364 and 116596?\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 56206 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(136)*2*-1*-6)\/(5*1*sqrt(648)*-2).\nAnswer: -4*sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -19221*i + 19228*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 749524?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fcff when four letters picked without replacement from {c: 3, w: 3, f: 5}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14659316?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -241 (b) -1\/10 (c) 1\/6 (d) -5 (e) 3 (f) 1\/1284 (g) -1\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10011022122212 - -11?\nAnswer: -10011022122201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*i + 17. Suppose -h - i = 0, 2*l + 2*h - 48 = 6*h. Suppose 2*m + 2*r = l, m - 3*r + 7 = -m. Solve 5*a + 15 = 0, m*a = -2*c - 0*c - 6 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 6 = -70. What is the first derivative of 3*q - 3*q + 6474 - m*q**2 - 6493 wrt q?\nAnswer: -76*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f - 6. Let d be p(-4). Suppose 3*v = -d*v. Let q = -2\/267 - -60\/89. Put v, q, -4\/7 in decreasing order.\nAnswer: q, v, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1047036383?\nAnswer: 23, 45523321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*r - 2*r**2 - 8 + 21*r + 17*r + 0 + 0 + r**2 + 4*r**2 - r**2 - 5*r**2 + (6 - 5*r - 6)*(0*r + r - 3*r) in the form c*r + u*r**2 + d and give u.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 24887 a multiple of 100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110111 (base 2) in base 10?\nAnswer: -119","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 1527*s - 10. Let g be u(2). Suppose -21*l + 17515 = -g. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 6:47 AM?\nAnswer: 7:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -481, -619, -849, -1171, -1585, -2091, -2689?\n\"Answer: -46*w**2 - 435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204741*k = -204742*k + 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.148 - 91.148. Let y = -91.02 - j. Let g = 0.12 + y. Which is greater: g or -1\/13?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -14*w - 152. Let h(k) = -6*k + 1. Calculate c(x) - 2*h(x).\nAnswer: -2*x - 154","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 4*t - 25 = 0, 0*t - 4*t + 10 = -2*a. Suppose w - 9 = -a*g + 4, 1 = w - g. Sort 1, -26, w in descending order.\nAnswer: w, 1, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((0 + sqrt(288) + 4 - sqrt(288)) + 5)**2.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 114981?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -104*(-4 + -1 + 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-42))\/(55\/(5775\/(-90)))\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u - 2 = 114 - 44 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2418 - -2417.9. Which is the nearest to 1\/3? (a) -10 (b) o (c) 0.1 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 241*u + 1459. Let i be f(-6). Let t(k) be the first derivative of 1\/2*k**2 + i - 2*k. Determine t(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 78509?\nAnswer: -7850.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-144)\/234)\/(70\/(-10010))?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 896 is divided by 75?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.3108 and 14?\nAnswer: 12.6892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 46 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = d - 9. Let r(f) = 3*f + 7*f**2 + 1 - 2*f**d + 4*f - 7. Let k(y) = y**2 + y - 1. Let o = 9 + -3. Determine o*k(m) - r(m).\nAnswer: 2*m**3 - m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45*s**3 - 39*s**3 + 43*s**3)*(-6*s + 5*s + 7*s) + s**4 - 8*s**2 - 2*s + 8*s**2.\nAnswer: 295*s**4 - 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-28276)\/(-16) + (7\/4 - 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -83 + 78. Let g(f) = 3*f + 1. Let d be g(1). Which is the closest to 1\/5? (a) d (b) l (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = g + 3, 0 = 4*s - 2*g + 8 + 10 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) 8\/407 (b) 1.2 (c) 4 (d) -0.5 (e) 1\/5 (f) -0.01\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 339077592 a multiple of 322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.6 - 6. Let r(m) = -2*m**2 + 4*m + 4. Let d be r(-3). Let t = d - -77\/3. Which is the closest to t? (a) -1 (b) z (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.421286 meters in millimeters?\nAnswer: 4421.286","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.17 - -0.06. Let k = j - -0.11. Which is bigger: -6 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (0 - (-2 + -2 + 2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 18*c**2. Let y(z) = -41*z + 1724. Let k be y(42). Let v(i) be the second derivative of 0*i**3 + 16*i - 1\/12*i**4 + 0*i**k + 0. Determine n(v(r)).\nAnswer: 18*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 3:00 PM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 - 10*o + 11. Let b be n(9). Sort b, -2, 5.\nAnswer: -2, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of 134*r**3\/3 + r**2\/2 + r + 8. Suppose 3 = 5*a + 8. Is f(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.91061 rounded to 2 decimal places?\nAnswer: -10.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 104767.21 + -105628. Round l to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 3*h + 2. Let k be n(-3). Let i = 11 + k. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 x when two letters picked without replacement from xeeeexn.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*m + 5*m + 272 = 0. Suppose x = -5*c - 4, -4*x - m = -c - c. Solve w + c = -4*q + 4, 2 = 2*q + 3*w for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -q, 21 = 2*h - 4*q - 13. Calculate the remainder when 27 is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4505042 and 454.\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -5 + (0 - -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 3. Let i be (1482\/(-195))\/((-2)\/(-110)). Let d be (t - -1)*19\/i. Which is greater: -1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -30 - 15 - 10 + 2*k - 18 + 11. What is p(27)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166633 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 262\/13, 6, -5, -2, -3, -10\/7 in decreasing order.\nAnswer: 262\/13, 6, -10\/7, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-90)\/1485*2*6\/(-4)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 8. Let j = -27 - -27. Let r(w) = w**2 - 3*w - 6. Let n be r(5). Solve j*b - 3*b = -o - 11, n*o - 16 = -l*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1200\/(-125) + 9)\/((162\/(-10))\/3)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*u = -5*u - 13813. Let x = 588 + u. What is x rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -8*m**2 + 7*m + 2. Let w(i) = -7*i**2 + 7*i + 2. Let j(b) = 6*w(b) - 5*z(b). Determine j(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -o + 1, -13 = -4*o + 4*u - 1. Let q = o + -5. Let w = q - -14. What is the lowest common multiple of w and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 552.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/15)\/k)\/(k*k**(2\/23)))**(8\/13) assuming k is positive.\nAnswer: k**(-6128\/4485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 29922\/(-42) - (-39)\/91. Let n = -658 - o. Calculate the highest common factor of n and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217591.8 centuries in millennia?\nAnswer: 21759.18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -782, 749, 3302, 6877?\n\"Answer: 511*f**2 - 2*f - 1291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61996105?\nAnswer: 5, 67, 185063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 646.18 and 2.9515.\nAnswer: 649.1315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 9 + 0 - 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 3:44 AM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -3, 1, -3.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 11 = 4*g - 36, g = 0. Suppose -j*s + 23 = t - 2, 4*t = -2*s + 10. Solve 3*u - w - 6 = t, 5*u - 2*w - 6 = w for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + f = -0*g + 7, -3*g - 2*f = -18. Suppose p - 133 = -b + 3*b, 567 = g*p - b. Calculate the greatest common divisor of p and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.09 + 0.61. Let j = -3.3 - f. Let v = j - -8.8. What is v rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2210 and 1430?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = 4*x - 0*x - 4*y, -y + 5 = 0. Let g = 4 + x. Let r = 128317\/5 - 25663. Which is the nearest to -0.5? (a) 0.1 (b) g (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -3*m**2 + m + 20. Let c(v) = -5*v**2 + v + 39. Calculate 4*c(p) - 7*q(p).\nAnswer: p**2 - 3*p + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 + -146\nAnswer: -145.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 49112.12 grams in tonnes?\nAnswer: 0.04911212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 178747266 a multiple of 6895?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6 - (-5)\/((-15)\/6). Calculate the remainder when (10 - 0)*10\/l is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 548.18 + -560. Let u = w + 12. Let f = u + -0.73. Round f to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1294386 by -3741.\nAnswer: -346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 6 + 0)*(57*f - 32*f + 128*f).\nAnswer: 765*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -12*d**2 - 448*d - 1. Let g(s) = 16*s**2. Give t(g(a)).\nAnswer: -3072*a**4 - 7168*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 19, -8, 2\/5, 1\/62, 1.7, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-10 + 1) - 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/(-10) - 3\/(-2). Suppose 0 = 2*h + u*h - 56. Let o = -494 - -533. What is the remainder when o is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.026 take away 0.066222782?\nAnswer: -0.092222782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 - 81*g - 899. What is m(-71)?\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 138 - 34. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4738\/28*7\/(-1452). Let j = m - -13\/121. Calculate the common denominator of (-2)\/(-8) + 255\/(-20) and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.3 (b) 8\/95 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2121\/5290 + 1\/1058. Suppose k = 38 - 14. Let d be 4\/(-2) + k\/9. Which is the closest to 1? (a) 1\/6 (b) r (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1971247 to the power of 1\/2, to the nearest integer?\nAnswer: 1404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - i**2 + i + 44. Let k be c(0). Let u = k - 35. Solve -2*o - 5*z = -12, -2*o + u = o + 3*z for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -188834 (base 10) to base 16\nAnswer: -2e1a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/9 - 800\/(-36). Suppose 3*u = -7 + g. Let l = -3 + u. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -33, -125, -277, -489?\n\"Answer: -30*w**2 - 2*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-346608.\nAnswer: 1386432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 31834048*t**5 + 27547416*t.\nAnswer: 636680960*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 - 9 - 5130*o**3 - 2860*o**3 + (1 + 0 - 4 + 2*o)*(o**2 + 2*o**2 + o**2) in the form q + i*o + z*o**2 + c*o**3 and give z.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1144\/208*2\/1\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3823943ml in litres?\nAnswer: 0.0003823943","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ejfeqjqjqefifqjjjj. What is prob of sequence jje?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4.9, 3, 5, -33688, -2?\nAnswer: -4.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 + 6*s - 2. Let u be d(6). Let q = 0.01 - 0.41. Which is the second biggest value? (a) q (b) u (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*(h*h**(2\/5)\/h)\/h*h)\/h)**14\/(h**(-2)\/(h\/(h\/h**(4\/9))*h)))**11 assuming h is positive.\nAnswer: h**(4477\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -56723*z + 1304633. Determine o(23).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28992?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -53*z**2 - 7*z. Let c(p) = -63*p. Calculate r(c(k)).\nAnswer: -210357*k**2 + 441*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(4 - 2) + 12. Let d be (-1767)\/(-21) - (24\/21 - 1). Calculate the highest common divisor of u and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1ab57 - 5?\nAnswer: -1ab60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -391*r**2 - 121*r**3 - 88*r**3 - 167*r**3 + 83*r**3 wrt r?\nAnswer: -1758","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i and 1 h when four letters picked without replacement from {i: 13, h: 6}.\nAnswer: 143\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003552 rounded to 4 dps?\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 + 14.967. Let o = 0.03300049 + h. What is o rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 7*w. Solve -3*l - 4*t + 2 = w, -l - 4*t + 0 = 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164 = -20*j + 116. List the prime factors of -28*7*j\/(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + 4*(-5 - -4). Put -2\/11, 4, c in ascending order.\nAnswer: c, -2\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h**2 - 9*h + 7. Let x be m(-5). Solve -3*k + 5*k - 2 = -3*n, 4*k - x*n + 12 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20212 (base 4) in base 8?\nAnswer: -1046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 AM and 3:09 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 2 = 3*v. Suppose 4*x = 4*w + 44, -8*x + 5*w + 48 = -4*x. Suppose -x*t - 3 + 24 = 0. Solve -t*l + 5 = -2*l + v*s, -s = -2*l + 5 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2262.\nAnswer: 2, 3, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 128 divide 3511242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17320\/19485*15\/(-4)?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9\/2*(-4)\/(-6). Suppose -b + 42 = g*m - 3*b, 4*m = b + 51. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 804 + -801. Solve 0 = -a + 4*p - 21, -9*p + 17 = o*a - 5*p for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 6*x = -11. Suppose 1 = 2*i + 4*n - x, 4*n - 12 = -3*i. Suppose q - 2 = -i*q. Let g(u) = u**2 + u + 1. Calculate g(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 171 divide 1831194198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a century?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1303771 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*l - 5679 = 77*l - 30132. Is l a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12460 - -12817. What is the highest common factor of s and 182?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + 13*q**2 - 13*q + 11. What is m(12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29 - 25. Suppose 0 = -3*i + o*i + 6. Let n be i\/21 + 25\/(-35). Which is the closest to n? (a) 2 (b) -1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b - 3*b + b)*(6 + 7 - 4)*(-5 + 5*b + 5).\nAnswer: 45*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z - 9. Let k be c(-13). Suppose 2*p + 0*b - 278 = k*b, 5*b = -p + 160. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-50)\/70)\/(-30*(-52)\/185640).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9622)\/(-272) - 2*(-3)\/(-16). What is the greatest common divisor of 385 and r?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/24 and 121\/12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 981 and 6681?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d + -17?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 5*a - 63. Calculate c(12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2*r - 15 = 0, -c - 5 = -2*c + 4*r. Suppose -2*y + 21 = c*y. What is the smallest common multiple of y and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -424 - -1416. Let i = -96 + a. Let t be 8\/20 + i\/10. Calculate the highest common factor of 18 and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.3, -3\/7, -772, 1\/8?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -925.90662 to 1 decimal place.\nAnswer: -925.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(275) + 5 + sqrt(66)\/sqrt(6)*-6 + 1)**2.\nAnswer: -372*sqrt(11) + 10607","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 10*a = -12*a - 98962, 5*a - 247345 = -5*s. What is the ten thousands digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124 = 5*x + 3*b, -10*x - 4*b = -14*x - 112. Let k = x + 32. Solve -k*o = -5*o - 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -31740, 1 in descending order.\nAnswer: 1, -2, -31740","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31301, -31300, -31299?\nAnswer: -31298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 211530\/740355*(3\/(-2))\/((-174)\/112)?\nAnswer: 8\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -399334760 divided by 266935?\nAnswer: -1496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-1 + sqrt(175)) + sqrt(175) - -6*(sqrt(175) + -2))**2.\nAnswer: -1760*sqrt(7) + 21431","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 91 + -89. Suppose -2*r + 6 - o = 0. Find y such that 4\/9*y**r - 2\/9*y - 2\/9*y**3 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of -5*k**4\/4 - 2*k**3\/3 + 3*k - 422. Let r(o) = o**3 + o**2 - 1. Suppose -3*d + 0*d + 18 = 0. Give d*r(h) + 2*j(h).\nAnswer: -4*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 7*l**2 + 2*l - 6. Let k be z(7). Let j be (-15)\/165 - (-207)\/99. Solve 15 = k*o - 3*o + d, j*d = 3*o + 4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3540\/9169, 0, 4 in increasing order.\nAnswer: -3540\/9169, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5248.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 28615 a multiple of 153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21 is divided by 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2927297 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 13 = -1, -3*m + 44 = -5*x. Solve -m*f = -28 - 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 4*u + 20. Let y be 1030\/40 + 1\/u. Is y > 27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1264932679?\nAnswer: 23, 1663, 33071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, d: 10}. What is prob of sequence ddnn?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.8, 0.2, 3, 0.9, -2\/3, -2\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 901783 to the power of 1\/2, to the nearest integer?\nAnswer: 950","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 307525539?\nAnswer: 3, 2803, 36571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000228944007 to six dps.\nAnswer: -0.000229","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**(-3\/2)\/m)*m**(2\/19))**(-8)*(m\/(m*m**(-1\/15)))\/m**(2\/5)*(m\/m**1)\/m**(1\/15) assuming m is positive.\nAnswer: m**(-2778\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*d + 398 + 16. Let s = 78 + d. Calculate the greatest common divisor of 18 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 5 = -3*o, 0*n = -3*n - 2*o - 5 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 AM and 11:08 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 0.3 (b) -0.033963 (c) -10\/9 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2214003 (base 7) to base 3.\nAnswer: -111212001120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -31764, -31767, -31786, -31833, -31920, -32059, -32262, -32541?\n\"Answer: -2*y**3 + 4*y**2 - y - 31765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 26\/5 of a hour?\nAnswer: 18720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -389.5816 rounded to one decimal place?\nAnswer: -389.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 20*f**3 + 563*f**2 + 1550*f + 41057. Determine i(-28).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1110323023 (base 5) to base 15\nAnswer: -330cc8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198*t = -194*t + k + 74, -2*k = -4 for t.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8d667 (base 14) in base 4?\nAnswer: 1110003023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -3. Suppose 0*k + k - 4*s = -11, -4*s + 6 = -2*k. Let z = x + k. Solve -15 = 2*i + 4*n - z, 4*n + 25 = 3*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(847) + sqrt(847) + 0 + sqrt(847))**2 + -2).\nAnswer: -22863","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 11*s**2 + 167*s + 45. What are the prime factors of y(-18)?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -383*r = -12172 - 13872 for r.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 PM and 5:39 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*n - 5 - 22 + 31 + (0 + 0 + 2)*(n - 4*n + 2*n) + 0 - 2*n + 0.\nAnswer: -20*n + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 33 in -15.54, -60, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*x + 4*x - 3*x**3 + (3 - 3 - x)*(-x**2 - x + x) + 2*x**3 + 2*x**3 - x**3 - 12*x**3 - 245*x + 245*x.\nAnswer: -11*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -171, -1, -5, 1, -4.\nAnswer: -171, -5, -4, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 3*z + 6. Let f = 346 + -354. Give o(f).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -273*m + 47584 - 42124 for m.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-52)\/(-13)*2\/(16\/6)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 3*j - 8. Solve -5*c + j*b = -16, -4*c + 3 = b - 14 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -7*q**2 + 6. Determine p(2).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -8.2. Let q be 1\/(-1*(-1)\/(-2)). Put q, i, -1 in increasing order.\nAnswer: q, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7\/(-5) + 2\/5. Is 0.03 > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 5*n**3 + 6*n**2 + 6*n + 9. Let v(a) = a**3 + a + 1. Let h(p) = -u(p) + 4*v(p). Let f be h(-6). Solve 0 = -5*d - j + 13, 17 = -3*d + f*d + 3*j for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -418\/105. Which is greater: -1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - ((-6 - (11 + -8)) + 9)) + -10.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 815.6068g to nanograms.\nAnswer: 815606800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -22177 and -36.24.\nAnswer: 803694.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 12 + -5 + (0 - -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.1 + 2.3. Let o = 6.4 - 6. Put -3\/8, q, o in decreasing order.\nAnswer: o, q, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27 - -12. Let q = -20 - v. Let s = -45\/82 - -2\/41. Which is the smallest value? (a) q (b) -3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15*(-165)\/30)\/3*(-12)\/(-15)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -61 + 45. Suppose 2*h - 5*h + 795 = y*p, 2*h - 3*p = 513. What is the greatest common divisor of h and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, v: 2, b: 1, c: 2, r: 1, a: 1}. What is prob of picking 2 v and 1 r?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -437, -2694, -8207, -18410, -34737, -58622?\nAnswer: -91499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 - 2*f**2 - 5*f + 3. Let w be a(3). Suppose -3*z + 2 = -5*z. Is z equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1026 (base 7) to base 14.\nAnswer: -1bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32\/48*3\/2)\/(990\/(-36)).\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -6. Suppose 1890 = 26*f + 9*f. Suppose 114*t + f = 120*t. Solve -z = j*z - 4*b + 21, -5*z = -b + t for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/7)\/((-84)\/63) - (1 + 1).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - -3) + 5600933\/1003236. Let b = -3\/6431 - u. What is the common denominator of b and -163\/78?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t - 41 + 682*t**3 + 30 - 695*t**3 to l + p*t + y*t**3 + a*t**2 and give y.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1266*k + 1204*k + 29495 + 2615 for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9334*o = -9331*o + 29*m - 6, -3*m + 8 = 4*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3641951?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/5 (b) -2\/7 (c) 33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24637*o - 310349 = 9995*o - 2867 for o.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 334 + -313. What is the smallest common multiple of 12 and l?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 273 and 30.\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 402, 410, 424, 444, 470?\nAnswer: 502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 65931211 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37 or -15?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = n - 23, 0 = 5*a - 0*a - n - 25. Find the third derivative of -7*g**6 + 6*g**4 - 3*g**6 - 6*g**4 - a*g**2 wrt g.\nAnswer: -1200*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 692 - -519. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-21)\/(-15) + 24\/40. Differentiate -12 - 2 - 11*b + 2*b + 10*b**p + 6*b wrt b.\nAnswer: 20*b - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 9102.\nAnswer: -1\/9102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 1)*(-34)\/(-136)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3224 (base 12) in base 15?\nAnswer: -196a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 68, 111, 154, 197, 240, 283?\nAnswer: 326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 2 = 0, -l - 8*u + 3*u - 12 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/120*(-10)\/(-24).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2. Let t(c) = -319288*c. Calculate t(a(z)).\nAnswer: 319288*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 6 = 0, 2*n + 17 = -4*m + 39. Let a = -113 + 115. Find i such that 9\/5*i**a + 24\/5*i + 3\/5*i**m - 12\/5 - 33\/5*i**3 + 9\/5*i**5 = 0.\nAnswer: -2, -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15\/26? (a) 1\/5 (b) -1\/2 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x - 37 = -14*x - 2 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ncnnnnnnnnc. Give prob of picking 2 c.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*o**2 + 1\/3*o**5 + 1\/3*o**4 + 0 - 18*o - 9*o**3 = 0.\nAnswer: -3, -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2735 (base 11) to base 14\nAnswer: -1415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, i: 1, b: 1, p: 1, w: 1}. Give prob of sequence fp.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/5*(12\/(-10))\/(30\/1000)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8 (b) 1056 (c) 18\/41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 390*h - 35132. What is p(90)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/(-77) - (-1920)\/84.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of 23 + 0*r**2 + 10\/3*r**3 + 0*r. Let k(j) = -2*j. Give o(k(c)).\nAnswer: 40*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -70316000 rounded to the nearest 100000?\nAnswer: -70300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v + 17*v**3 - 6*v**2 - 56*v**2 - 2 - v**4 + 14*v**3 - 33*v**3 to c*v**2 + q*v**4 + m + x*v**3 + y*v and give c.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 1*sqrt(80).\nAnswer: 4 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 139, 562, 1269, 2260, 3535, 5094, 6937?\n\"Answer: 142*s**2 - 3*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -14. What is the remainder when 69 is divided by 5\/((-15)\/d - 1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-6)\/(((h*h**(-2\/7)*h)\/h)\/h*h))\/(h*h**8*h**(-6)*h)*(h**7\/h**(-4))\/(h**(3\/2)\/h**4) assuming h is positive.\nAnswer: h**(39\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -2746958600 to the nearest one hundred thousand.\nAnswer: -2747000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 2 j when four letters picked without replacement from {j: 13, i: 3}.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, i: 12, b: 1}. Give prob of sequence bvi.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1632640, 1632645, 1632650, 1632655?\n\"Answer: 5*t + 1632635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 5751350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42804 is divided by 446?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.417131 meters in kilometers?\nAnswer: 0.009417131","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**2\/15 + 50606*z\/5 + 151808\/3 = 0. Calculate z.\nAnswer: -75904, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + -1 + sqrt(13) - sqrt(13))*3 + -3 - (1 + sqrt(1300) + 1) - ((0 + sqrt(468))*-1 + -2*(sqrt(468) - (sqrt(468)*-1 - sqrt(468))) + 2))**2.\nAnswer: -700*sqrt(13) + 16025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnviiiiiiiinvvvi. What is prob of picking 4 v?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -26*c + 27*c - 3*m, 46 = -2*c - 4*m for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((2*sqrt(70)*-6)\/(sqrt(40)*2))**2 + -1).\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 73 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*x + 37. What is the second derivative of 0*s + x*s**4 - 3*s - 7*s**4 wrt s?\nAnswer: 36*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**3 + 4220709139 - 4220709139.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + -11349?\nAnswer: -11346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -4 + 5*a**2 + a + 15*a**2 - 21*a**2. Calculate j(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17336, -17338, -17340, -17342, -17344?\nAnswer: -17346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102202 + 0?\nAnswer: 102202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 460234, 920484, 1380734, 1840984, 2301234, 2761484?\n\"Answer: 460250*a - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.07 and -820.\nAnswer: 57.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 23226 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: Rearrange 41 - 51 + 27 - 4*k + (k - 3*k + 3*k)*(-1 + 0 - 3) - 5*k - k + k to b*k + m and give m.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3 and -190267495?\nAnswer: 190267498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 48534.879948 - 48588.88. Let a = r - -54. Round a to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - 3*x**2 - 4*x + 5. Let z be t(4). Suppose 6*q = z*q + 1. What is the third smallest value in q, -3, -9?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -12*r + 90. Let d be b(-26). Let s = -235 + d. Is 6 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - ((6 - -3) + -7)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -79.924 + -0.076. Let s = 36 + p. Let y = 44.00084 + s. Round y to four dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2\/2 - 158574429*w\/2 - 79287216.\nAnswer: 3*(w - 52858144)*(w + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12*(-6)\/24)\/(21\/2)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -4*m - 3*m. Sort -5, m, 3\/5, 6 in descending order.\nAnswer: 6, 3\/5, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3626438, 3626434, 3626430, 3626426, 3626422, 3626418?\nAnswer: 3626414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1116 divided by -124.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnqjgzjsjjqqnssjsgj. Give prob of picking 3 n and 1 g.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -131131 + 30?\nAnswer: -131101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 5 = -4*d, -462*z + 6 = -464*z for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2583.9 and 28432.265.\nAnswer: 25848.365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 2\/63, -4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 + 14*t**2 + 18*t - 44. What is the units digit of y(12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 280586 times 5?\nAnswer: 1402930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7796, -15308, -22878, -30500, -38168, -45876, -53618, -61388?\nAnswer: -69180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9746 - -9758. Solve -v*z = -1 - 71 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -2\/13, -3, 1, 1\/100 in decreasing order.\nAnswer: 1, 1\/3, 1\/100, -2\/13, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3014604, -2, 5 in ascending order.\nAnswer: -2, 5, 3014604","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 111 and 10153762.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -688*s + 624*s + 192 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*t = -400 + 426 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -46*v**2 + 2568*v\/7 + 64\/7.\nAnswer: -2*(v - 8)*(161*v + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32989 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, w: 1, g: 2, y: 2}. What is prob of sequence vgyg?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9513\/19 or 501?\nAnswer: 9513\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + b. Suppose b*j + 6 = 3*j. Suppose y = j*q - 43, 5*q + 7*y - 2*y - 115 = 0. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -833225 + 5?\nAnswer: -833220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen tenths of a gram in milligrams?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 3*g + 30 = 0, -4*g - 3 + 1 = -3*u. Let z(n) = -n + 14. What is z(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 f, 1 r, and 1 h when four letters picked without replacement from {f: 2, o: 1, h: 2, r: 1, u: 1, g: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mpmm when four letters picked without replacement from {m: 4, p: 6}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 650371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 27361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 10, -4, -135, 3, -3 in descending order.\nAnswer: 10, 3, 0, -3, -4, -135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35967 is divided by 571.\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 + 34*j**2 - 57*j - 821. What is the remainder when p(30) is divided by 510?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 920 = -2*w, -3*n = n - 2*w + 1832. Put 1, 0, n, 3 in decreasing order.\nAnswer: 3, 1, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 253 - 19 = 0. Let i be g\/4 - (-2 - -1). Calculate the highest common divisor of i and 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 AM and 6:48 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1439 divided by -320.\nAnswer: -1439\/320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - k. Let f(c) = -5*c**2 + 6*c. Let r(u) = f(u) + 6*x(u). Suppose -m = 2*q - 3*q - 1, -3*m + 17 = 4*q. Suppose n - m*n = 0. Give r(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1441742, -1441731, -1441712, -1441685?\nAnswer: -1441650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.228278 times 12?\nAnswer: 14.739336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.041276 rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5\/24 of a week?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 3\/7 (b) 0.1 (c) -3 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 3*f - 1. Let l be g(1). Suppose 0 = 5*o + 5, -5*o + 168 + 153 = l*k. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 l when two letters picked without replacement from ytllya?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k**3 - 111*k**2 + 840*k + 44688 = 0. What is k?\nAnswer: -28, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 112294\/(-4) - 3\/(-6). Let d be 2\/(-9) + w\/9306. Let a = d + 6\/517. What is the common denominator of a and -101\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2460.65296101 and 0.05.\nAnswer: 2460.70296101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 157\/2955?\nAnswer: 157\/2955","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -1630560 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -8. Suppose -3*w + w = p. Let h(t) = -t**3 - t**2 - 3. Give h(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2113*d**4 + 82405*d**3\/3 - 145771*d**2\/3 + 69683*d\/3 + 22\/3 = 0.\nAnswer: -2\/6339, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 1)*(-5*a + 13 - 13).\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is bb2 + -5?\nAnswer: bab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 538*o - 4 = 534*o, -4*o = -3*b - 13 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -9*j + 4. Let z be f(4). Let n = z - -31. Is -27*(-6 + n) + -2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1585 is divided by 490.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 8:51 AM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(540) - 2*sqrt(540)) + sqrt(540))\/((sqrt(12) - (sqrt(36)\/(sqrt(6)\/sqrt(2)) - sqrt(12) - sqrt(12))) + sqrt(12)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/1710, -5, 2922, -1?\nAnswer: 2922","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(13\/2))\/g**(5\/3)*(g**(-6)\/g*g)\/(g**11\/g) assuming g is positive.\nAnswer: g**(-139\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2. Let g = -2 + 4. Let s(p) be the first derivative of 0*p**2 - 2*p**g - 2 + 0*p**2. Determine w(s(z)).\nAnswer: -16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 40\/(-30)*(1 - 7). Let w be -3 - (-4)\/(m\/10). What is the second derivative of 7*j - 3*j - 6*j**w - j - 2*j wrt j?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000257865 to six decimal places.\nAnswer: 0.000258","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 335 is divided by 93.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/5 (b) -0.02 (c) 1\/2 (d) -6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r - 3. Let n be -1*(1 - (8 + -12)). What is j(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 1 - 2*k**2 + 1 - 2. Let d(h) = -8*h**2. Determine x(d(n)).\nAnswer: -128*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 43913664 and 863784?\nAnswer: 1361323584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 + 64*c**2 - 343*c + 166. Suppose -4*f = -3*z - 265, -4*f = -0*f - 2*z - 270. Calculate the smallest common multiple of a(-69) and f.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9880)\/(-8840))\/((-3)\/51)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/(g*g**(3\/38))))**49 assuming g is positive.\nAnswer: g**(2009\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((-4004)\/264*(-9)\/(-42))?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1450*g**6*o + 2*g**3*o**2 - 1161*g**2*o**2 wrt g?\nAnswer: 174000*g**3*o + 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -105*m**5 + 4325*m**4 - 8935*m**3 - 1505*m**2 + 5440*m + 780 = 0. What is m?\nAnswer: -2\/3, -1\/7, 1, 2, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1273 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 + d - 2. Suppose 3*h + 0*h - p = -1234, p - 823 = 2*h. Let a = -408 - h. Calculate v(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2258*i + 452*i + 66936 + 8477 = 10397 for i.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83766579.\nAnswer: 3, 13, 2147861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is 129\/(-10) + (-23370)\/(-1230) + -8 + 1?\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1, 184, 367, 548?\n\"Answer: -s**2 + 188*s - 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 20 = 0, 3*z = 2*x + 4 - 27. Let o(t) = -t - 2. Let q(h) = h + 2. Let d(f) = x*o(f) + 3*q(f). Determine d(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (i**2 - 2*i**2 - i**2)*(1 + 4 + 3) + (-3*i**2 - 2*i**2 + 6*i**2)*(4 + 1 - 3) as c + k*i + d*i**2 and give d.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 564922000 rounded to the nearest one million?\nAnswer: 565000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of -3 + 0*m**2 - 2\/3*m**3 + 0*m. Let w(g) = -g. Determine s(w(x)).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of s**6\/10 - 9*s**5\/5 - 43*s**4\/4 - 15*s**3 - 8*s - 117. Find u, given that b(u) = 0.\nAnswer: -2, -1, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44015270?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 0*y = -48. Let l be 5*y\/(-18) + (-4)\/(-6). Suppose 50 = 5*x - 5*v, -l*v + 16 = -8*v. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 48643 - 407*i - 48643 in the form z + x*i and give x.\nAnswer: -407","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 AM and 8:21 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 63 - 52*o**2 + 49*o**2 - 63. Let c(q) = -88*q**2. What is w(c(d))?\nAnswer: -23232*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 - 5*k**2 + 4*k - 7. Let t be o(-6). Suppose 0 = -5*i - 0*u - 2*u - 2, 0 = t*i - u - 1. Solve c + 1 = -i for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -0.047, -1\/6, -0.1.\nAnswer: -5, -1\/6, -0.1, -0.047, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 98292.77 days in seconds?\nAnswer: 8492495328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 PM and 11:32 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*t + 31*t - 27*u + 0*u + 360 = 0, -2*u - u + 71 = 2*t for t.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -11, 8296 in increasing order.\nAnswer: -11, 11, 8296","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4348.0898944 + -4362.0899. Let d = 14 + f. Round d to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-4) - 57\/(-4). Let a(f) = -11*f - 2. Let o be a(-10). Suppose -4*q - o = -4*g, -g + 5*g + 3*q = 115. What is the greatest common divisor of g and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 135 - 100. Calculate the greatest common factor of 14 and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + q + 1192 = 0, -j - 319 = -8*q + 3*q. Let x = j + 465. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (224\/10)\/((-2)\/(-10)). Suppose -3*b - b - h = 3*d, -b - 28 = -5*d. Let k be b\/32 - (-2 + 1). Put 5, k, -1\/7 in ascending order.\nAnswer: -1\/7, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -v*x**3 - 2812*v*x**2 - 4*v*x + 169039*v - 2*x**3 - 496*x**2 + 2*x - 1 wrt x.\nAnswer: -6*v*x - 5624*v - 12*x - 992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (27\/(-18))\/((-6)\/20). Put -3, -4, f in increasing order.\nAnswer: -4, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + 7\/(2 + -3). Suppose -2*m - 13*r + 17 = -10*r, 3*m = -5*r + 23. Let d be 9 - 4 - (-1 + m). Sort s, 2, d in ascending order.\nAnswer: d, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 f when two letters picked without replacement from kfkjepk.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*x + 6\/5*x**4 + 0 - 126\/5*x**3 + 144*x**2 = 0.\nAnswer: 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 1123*r = 1125*r + 46, -s - 20 = r for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 4:11 AM?\nAnswer: 5:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3136 + 3012.64. Let n = 123 + q. Round n to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211807009 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52250 = -31*c + 34*c + r, c = 3*r + 17420. What is the ten thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -71\/354 + 2\/59. Sort 3\/5, 2\/5, l in descending order.\nAnswer: 3\/5, 2\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 - 67\/4. Let p be 6\/10 + 1\/(-5). What is the closest to -1 in p, 0.1, z?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2776 (b) -0.11 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) + ((sqrt(320) - (sqrt(320) + 0))*2 - sqrt(320)) + sqrt(320)*-1 + 5)**2.\nAnswer: -80*sqrt(5) + 345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 19 = -3*x - z, 0 = 2*x - 4*z - 12. Let b be ((-1)\/(-3 - -4))\/(x\/(-20)). Factor 0*d**2 + 1\/4*d**b + 1\/4*d + 0 + 0*d**4 - 1\/2*d**3.\nAnswer: d*(d - 1)**2*(d + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + 4*c**2 - 229*c + 911. What is s(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1310530 (base 6) to base 11\nAnswer: -49780","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 221031 - 1443?\nAnswer: 214033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1416408a - 8?\nAnswer: -14164097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -10002200 (base 3) to base 2\nAnswer: -100011010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1539 by -57.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from cccccccqccqccccccccc.\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, -6, -30, 2, -0.12, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 - 7*b - 12. Suppose -4*c - 4*d + 29 = 9, -22 = -2*c + d. Let t be k(c). Let a(n) = n**2 - 6*n + 6. List the prime factors of a(t).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-5 + -3 + 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 - 7*n + 11. Give h(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 - (-18828)\/(-6274))\/((-306)\/12). Let t = -3626306\/1759857 - l. Let s = 7070 + -127163\/18. What is the common denominator of s and t?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 5, -2, 3\/4, -1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2219 to 3 decimal places.\nAnswer: 0.222","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1256*b**3*l**5 - 38*b**3*l**2 - 4*b*l**2 + 2*l**3 wrt l?\nAnswer: 75360*b**3*l**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 1:25 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 493608.9467142 - -0.0532858. Let j = z - 493607.100024. Let x = 1.9 - j. Round x to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.06 - 3. Let j = 0.04 + p. Let r = -525\/1336 - -3\/167. Which is the closest to j? (a) 3 (b) r (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 16 = 4*h, -2*m - 1 = -h + 4. Suppose -4*c = -y + 17, -5*y + h - 14 = 4*c. Is c at most -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 3 i when four letters picked without replacement from qiggiiigqqq.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**3 + 330202*n**2 - 330202*n**2.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (3 - 1) - -11.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 708026?\nAnswer: 2, 11, 32183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.641 and -49391192.62?\nAnswer: 49391191.979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -1 - (0 + 0 + 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 334456.\nAnswer: 2, 97, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 507592.\nAnswer: 2, 67, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q + 7. Let s(i) = -11*i - 15. Let c be s(-2). Suppose 0 = g + c*g - 40. Determine j(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -350*h**3 + 36*h**2 + 109920.\nAnswer: -1050*h**2 + 72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 28324, -2, 5, 13 in decreasing order.\nAnswer: 28324, 13, 5, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -0.4, -1, 4, -1\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + -6 - -5 - 15 - -15.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 291*o - 3 + 13*o**2 - 293*o + 130 as j*o**2 + t + f*o and give j.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a = a + 1078. Let b = 1080\/7 - a. What is the second smallest value in 1\/5, b, -0.5, -20?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 5120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (((-448)\/(-24))\/(-7))\/(2\/(-6)). Let a be ((-72)\/48)\/(-3*(-2)\/m). Let r be 91 + (12\/a - 28\/(-7)). Is 90 >= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10098 by -6.\nAnswer: -1683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3353160.\nAnswer: 2, 3, 5, 27943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (2 + (1 - 4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 29920 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: In base 8, what is 5 - -70?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-3) - ((-4142)\/168)\/19.\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17862533?\nAnswer: 13, 1374041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -11. Let y = 1.18 - 0.18. Is p less than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 32*w**2 + 83*w + 82. Give q(29).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do -92974142 and -92974142 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -99*h**3 - 34905*h**2 + 561438*h - 183264 = 0?\nAnswer: -368, 1\/3, 166\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**4\/u)\/u)**(9\/4)*u**2*u**(5\/3) assuming u is positive.\nAnswer: u**(49\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*t**4 - 2*t**2 - 188*t + 186*t - 4 + 2 in the form p*t**4 + s + v*t**2 + h*t**3 + r*t and give p.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1505602 and 854?\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(2\/7)*o)\/o)**8)**(1\/6) assuming o is positive.\nAnswer: o**(8\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-5)*(-8)\/(-12)*(-75)\/(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 228 - 226. Solve -15 = x*n + 3*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 7347 + 368. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 3 - -7 - (3 - 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16780175959 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 8 - 10)*(8*j - 3*j - j) - 1 + 1 - j + (-3 - 1 + 5)*(5*j - j - 2*j).\nAnswer: -19*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.5 - 3.7. Let k = -0.65 - 0.15. Let p = k + l. What is the third biggest value in 1, -1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -222022 (base 3) to base 5\nAnswer: -10320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 30666480 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4138.\nAnswer: 2, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven eighths of a day?\nAnswer: 75600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16317445?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -7*o**3 - 5*o**2 + 5. Let p(s) = 2*s + 19. Let g be p(-12). Let w(c) be the first derivative of c**4\/4 + c**3\/3 - c - 2. Give g*w(i) - l(i).\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -8*s**2 - 104*s + 9. Let o(a) = -9*a**2 - 106*a + 11. Give 6*j(r) - 5*o(r).\nAnswer: -3*r**2 - 94*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 79 - 56 = -4*r, 5*r = -2*p - 31 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -11*v**3 - 3*v**2 - 3. Let i(w) = 100*w**3 + 26*w**2 + 26. Let z(d) = -52*a(d) - 6*i(d). What is the units digit of z(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -5. List the prime factors of w*(-1 + 5 - 8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 57 + -32. Suppose 5*b - 41 = -q, -o = 2*q + 4*b - 77. What is the least common multiple of 16 and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8.126 * 0.2\nAnswer: 1.6252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 397\/2 + -198. Let z(y) be the second derivative of i*y**2 + 0 - 7*y + 1\/3*y**3. What is z(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 267 is divided by 68?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 + l + 4. Let j be u(3). Let a be (j\/(-2))\/(8\/220). What is a rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -96 - -1250\/13. Let l = -6084 + 6085. Which is the nearest to l? (a) 1\/4 (b) i (c) 1\/6 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -5 + (sqrt(245) - sqrt(245)*-3) + 3*(sqrt(500) + -3 + 5))**2.\nAnswer: 696*sqrt(5) + 16856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*m**4 - 533448*m**2 + 18158645*m.\nAnswer: 24*m**2 - 1066896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*x**2 + 340*x**2 - 175*x**2 + 240*x**2 + 292*x**2 in the form h + j*x**2 + f*x and give j.\nAnswer: 687","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -445 - 4*x**2 - 6*x**2 + 38*x**2 - 13*x**2 - 13*x**2 to l*x**2 + q*x + f and give f.\nAnswer: -445","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -9 (b) 4 (c) 3\/5 (d) 2 (e) 0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2701201 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 - -25. Let g = 0.24 + 8.8. Let d = g - f. Is d equal to 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5771 is divided by 298.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -9010*m**2 - 272*m + 544. Let x(a) = 99*a**2 + 3*a - 6. Give 272*x(n) + 3*y(n).\nAnswer: -102*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.5 and -0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 5:07 PM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4013124 <= 3.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vqqqzqqqqzqvqqqqzq. What is prob of sequence vv?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 3 - 0. Let c = -2\/7 + -20\/77. Which is smaller: c or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2 - 3*p**2 + p**3 - 101*p + 91*p - 7 + 5*p**2. Let j be x(-4). Suppose n - 5*b = -j*b + 14, 15 = -3*b. Let m(c) = c**2 - 5*c. Give m(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 92001?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148 = 4*n - a - 421, 0 = 3*n + 4*a - 181. What is the remainder when 2074 is divided by n?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 385*a - 32 + 8 = 455*a + 676 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - b + 11 = -11, 3*b = 3. Calculate the greatest common divisor of 1 and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**5\/4 + 3673*p**4\/2 - 29427*p**3\/4 - 49622*p**2 - 69829*p - 29400 = 0 for p.\nAnswer: -7350, -2, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35465333 by -1144043.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4351345875 to the nearest integer?\nAnswer: 1633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*3763.15\nAnswer: 1505.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 66*l**2 + 21591*l + 2971. Determine a(-327).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1499813 and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 + j - 1. Let k(i) = -i**2 + 4*i - 1. Let o be k(3). Let s be w(o). Let t(g) = -17*g + 9*g + 3 + 11*g. Give t(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4697729.\nAnswer: 17, 276337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23 - -45. Let t = u - 22.3. What is the nearest to 2 in t, -4, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 789 - 26139. Let b be (q\/(-20))\/((-3)\/(-4)). Suppose 6*a = -7*a + b. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -706 (base 8) in base 13?\nAnswer: -28c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 30695 to the power of 1\/2, to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*h**5 + 3*h**5 - 6*h**5 + (23*h**3 - 3*h**3 + 3*h**3)*(0*h**2 + 0*h**2 - 2*h**2).\nAnswer: -45*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99753 is divided by 83.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b + 11. Let n be r(8). Suppose -3*j + 0*z + 104 = 4*z, n*z = -5*j + 188. Is 5 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.093 - 4.807. Let b = -8 + 13. Let w = b + p. What is the nearest to w in 4\/5, 1, 2?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -60*j**3 - 2*j**2 + 2*j - 4. Give g(-2).\nAnswer: 464","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8.9 + 6.2. Let n = g - -3.36. What is n rounded to one dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vefwvvewewfcfffffw. What is prob of picking 1 v and 1 w?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 4) in base 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 33001047 divided by -9\nAnswer: -3666783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 312.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 + (5 - 28 - 2) - -21?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - 13. Let k = 9 + y. What is the units digit of k + (-2 - 120\/(-4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -101 or -6003?\nAnswer: -101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 107, 171, 233, 293, 351, 407, 461?\nAnswer: 513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*s = 56*s - 10. Let n(y) = 12*y**2 + 4*y**s + 9*y**2. Let g(u) = 3*u**2. Give n(g(d)).\nAnswer: 225*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-25 + 196 + 101)*(-4*r + 3*r + 0*r + (-1 - 1 + 4)*(2*r - 2*r - 2*r) - 3*r - r + 5*r - r - 1 + 1 - 7 + 7 + 4*r) as a + z*r and give z.\nAnswer: -272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(187)\/(sqrt(275)*2) - ((sqrt(272) + -4 + 1*sqrt(272))*-4)**2.\nAnswer: -17664 + 10241*sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 4*n**2 + 7*n - 7. Let o(k) = 10*k**2 + 12 - 7*k**2 - 18 + 6*k. Calculate -7*o(w) + 6*v(w).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -144.3059 - 0.0941. Round k to the nearest 10.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*x + 8980 - 60*x - 8980.\nAnswer: -45*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 150147, 600488, 1351063, 2401878, 3752939?\nAnswer: 5404252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(81)*1)\/sqrt(3) + sqrt(27))\/((sqrt(81) + (3*sqrt(81) - sqrt(81)))\/sqrt(9)).\nAnswer: 2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2757, 146 in increasing order.\nAnswer: 3, 146, 2757","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-37.764.\nAnswer: -11.3292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -443634 take away -180?\nAnswer: -443454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4077171.614 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -3*u**5\/5 - 711*u**4 - 112509*u**3 - 5014713*u**2 - 18731448*u - 91463796\/5 = 0?\nAnswer: -1007, -87, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 40497.696 minutes in days?\nAnswer: 28.1234","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6 + 2 - 9*h + 3*h - 4*h**2 - 2*h.\nAnswer: -4*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g**3 + 31*g**2 + 11*g + 54. Give n(16).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3058812055 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000421885 rounded to 5 decimal places?\nAnswer: 0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8\/29, 35884, 5?\nAnswer: 35884","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/16)\/(3\/1)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 7*h**2 - 8*h - 6. Let t(y) = -2*y**3 + 11*y - y + 5 + 0*y + 7*y**2. Let f(o) = 3*k(o) + 2*t(o). Calculate f(-6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5155 + -4?\nAnswer: 5151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -103918.\nAnswer: -5\/103918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65136059 is divided by 1388.\nAnswer: 1383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 16*n**5 - 16228*n**4 - 7383576*n**3 - 5329412*n**2 + 90248480*n - 22113600 = 0.\nAnswer: -340, -4, 1\/4, 3, 1355","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100000100000 + -10001011000?\nAnswer: 1111001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78 = 189*v - 176*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13 and 1053?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3 and 2672.\nAnswer: 2669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u + 12. Give g(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -50 + 28 + 26 + 5*k. Let j be s(10). Let d be (360\/j)\/((-2)\/(-3)). What is d rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10132.6 less than -226016.74?\nAnswer: -215884.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4304 + 4307. Sort -27, u, -48 in ascending order.\nAnswer: -48, -27, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d - 2*d - d)*(0 - 2*d + 0) + 2*d**2 + 0*d**2 + 0*d**2.\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c + 11. Let f be p(-9). Let u(z) = z**2 - 3*z + 1 - z**3 + 3*z**2 + 1. Let i be u(2). Solve -2*a = a + i*t - 25, 0 = f*t - 8 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 2 z, and 1 x when four letters picked without replacement from xzzxxsxxxzzszszxs?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -6. Suppose w = 4*d + 2 + 10. What is the second smallest value in -5, 2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15701?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 417242 is divided by 83424.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to 340?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 - 8*d + 5. Let j be v(-8). Solve 2*z - 3*z = n - 1, 2*n = -j*z - 4 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -65 - -117. What is the highest common divisor of 4 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19626, 19525, 19394, 19233, 19042?\nAnswer: 18821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/(-16))\/((-1 + -3)\/48)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 8*r**2 + 246*r + 1681. Determine o(-10).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z. Calculate the lowest common multiple of 6 and h(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 6*k - 5. List the prime factors of p(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (114*(-55)\/(-30))\/(-1 - -2) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -11. Let g be (t\/(-56))\/(8\/(-32)). Let k = 0 - -1. Which is the nearest to k? (a) -0.1 (b) 0.3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*s**3 + 215*s**2 - 30*s - 35 = 0.\nAnswer: -1\/3, 1\/2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate x**3 + 212 - 26 + 66*x**2 + 140*x**2 + 136 wrt x.\nAnswer: 3*x**2 + 412*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -276 + 276 - 11*d - 47*d - 2*d + 2*d.\nAnswer: -58*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 184 + 188 = -v, -5*v - 4*k = 20 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0025879 rounded to five decimal places?\nAnswer: 0.00259","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -303*o - o**2 - 323*o + 0*o**2 - 22 + 594*o. What is the hundreds digit of h(-25)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-75)*1150\/(-1840))\/((-8)\/(-10)).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7 - -1)\/((-36)\/96). Suppose -7*n + 3*n = -o. Solve -n + 1 = -3*y - 4*c, 6 = 2*y + 4*c for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1022383, 7, 0, -5 in decreasing order.\nAnswer: 1022383, 7, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3940.\nAnswer: 2, 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -24075 (base 10) in base 6?\nAnswer: -303243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 + g - 156. Let l be w(-11). Which is the closest to 2? (a) 2 (b) 1 (c) l (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3349 + 3359. Sort r, -3, 16 in ascending order.\nAnswer: -3, r, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k - k + k)*(k**2 - 2*k**2 + 9*k**2).\nAnswer: 32*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 6 + 6. Solve -i + p = -2 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-6*6*(-3*(sqrt(76)*-1 + sqrt(76) - sqrt(76)) - -3*(sqrt(76) - (0 + sqrt(76)))))**2.\nAnswer: 1772928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5552 to 2 dps.\nAnswer: -0.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c + 227?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*d**2 + 450568*d + 2047055.\nAnswer: -10*d + 450568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32 - -46. Let j be 13\/((-91)\/1454) + (-4)\/r. What is j rounded to the nearest ten?\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4563863903 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 3 = -k, -3 + 4 = -k + b. Suppose 28 = 2*i + 2*z, k = 3*i - z - 23 - 3. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 1698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - 6*n**2 + 7*n - 6. Let j be t(5). Let z be (-6 - -4)\/(2\/j). Let u = 41 - 42. Put z, u, 2, 7 in decreasing order.\nAnswer: 7, 2, u, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 726.079 rounded to zero decimal places?\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (-14 + 14) - (6 - 0) - 12.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**4 - 2*a + 2*a)*(-4 - 6 - 3) - a**4 + 4 - 4 + 5 - 5 - 3*a**4.\nAnswer: 22*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + 35*t**2 + 49*t + 220. What are the prime factors of z(-33)?\nAnswer: 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - 0.047284355?\nAnswer: -14.047284355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 2) to base 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 d when two letters picked without replacement from {w: 3, d: 3, m: 2}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -n - 11, 5*s + 5*n + 0*n = 65. Let w = -8 + s. Let o be (2 - w)*-1 + -202. Round o to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - 15*v**2 - v + 21. Let a be l(15). Suppose -h - 5 = 2*o - a*h, 0 = -o + 2*h. Let r = o + -10. Solve k + k = r for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16953 - 16948. Let l be ((-2)\/4)\/((-9)\/(-6)). Which is the closest to l? (a) -2\/19 (b) t (c) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9667178 by -2.\nAnswer: -4833589","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/7 - 45440*k - 14954178\/7.\nAnswer: 2*(k - 159087)*(k + 47)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**5\/3 - 2*b**4\/3 - 4*b**3 - 14*b**2\/3 - 5*b\/3 = 0. What is b?\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of -h**5\/10 - 3*h**4\/4 + 7*h**3\/6 - 3*h**2 + 15*h + 2. Is k(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3592 - 3756.05. Let k = -168 - n. Let w = k - -3.1. What is w rounded to 1 dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2202 times -52.09?\nAnswer: -114702.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 18, 119, 206, 273, 314, 323, 294?\n\"Answer: -i**3 - i**2 + 111*i - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, q: 2, e: 1, n: 2, c: 1, h: 2}. What is prob of sequence en?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5\/3 (b) -3368 (c) -5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50461*j - 100987*j - 14 + 50515*j.\nAnswer: -11*j - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k + 355*k**3 - 154*k**3 + 388*k**3 + 1099*k**3.\nAnswer: 1688*k**3 - 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-3) + (-35)\/(-15). Suppose -p*a - 2*a = 5*k + 5, -k + 8 = -a. What is the first derivative of 2*y**3 - 2 - 2*y**2 + 2*y**2 + y**k wrt y?\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/5 (b) -36 (c) 1 (d) 2835 (e) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4856402*m**5 - 4417385*m**2 wrt m.\nAnswer: -291384120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10535800?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -65, -41, 0, -11 in descending order.\nAnswer: 0, -11, -41, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by 39278.\nAnswer: -6\/19639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-166)\/(-5) - -2*2\/5?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12739*155.6\nAnswer: 1982188.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -580 = k + 3*k. Let j = k - -235. Calculate the greatest common divisor of j and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u**3 + 62*u**2. Let l = -679 - -648. Let q be n(l). Are 4\/219 and q nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(3300) + sqrt(3300))*6)\/((-2*sqrt(18)\/sqrt(2))\/sqrt(3)).\nAnswer: 90*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*3\/(-12)*10\/(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5216294, -5216295, -5216296, -5216297, -5216298, -5216299?\n\"Answer: -a - 5216293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 23*f + 10. Let w be h(-5). Find the common denominator of w\/(-36) - 2 - 3 and (-1)\/(-3*(1580\/(-2310) + (-8)\/28)).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -626487*z**4 + 259285*z**2?\nAnswer: -15035688*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 81 and 423?\nAnswer: 3807","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3 - -6561 - (-55 - -44)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -625 - -225. What is o rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of 27*v**5\/100 - 3*v**4\/4 - 16*v**3\/5 - 18*v**2\/5 - v. Determine y so that j(y) = 0.\nAnswer: -2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20\/50 + (-8)\/(-10)*97.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -14.3996, 1\/3, -0.1, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21210)\/33936*(42\/(-5))\/(-3)?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -169 + 92. Let y = 9 + 70. Let i = y + x. Solve i*q + z + 3*z = -16, -2*q - 2*z = 12 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 + 19. Suppose 2*w - 84 = -2*d, 3*w - 2*w - 27 = m*d. List the prime factors of w.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-4)\/(a**(2\/29)\/a) assuming a is positive.\nAnswer: a**(-89\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.03 and -8.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4026812, -8053609, -12080406, -16107203, -20134000, -24160797?\nAnswer: -28187594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 66.92 - 67. Let v = b + 0.555. Round v to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/505 and -37\/400.\nAnswer: 40400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 9) in base 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 865180478 is divided by 979?\nAnswer: 976","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-100)\/30)\/10*24\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1352 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 38\/5 - 4\/(-10). Solve -7*o = -j - 2*o - 8, 0 = 2*j - 2*o + r for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, 1, 6, 3, 4 in descending order.\nAnswer: 24, 6, 4, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4.24 in -2, 8\/7, 0.02?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 + 11*g + 210. Let v be b(21). Let d(c) be the first derivative of 8 - 19\/3*c**3 + v*c + 0*c**2. Let h(a) = -a. What is d(h(o))?\nAnswer: -19*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (130\/78)\/((-3)\/(-9)). Solve -j + 2 = -3*y - d, 5*y = -d + 7 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i + 3. Let j(c) = 20*c + 46. Let p(u) = -j(u) - 5*z(u). Give p(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36288290 divided by 101.\nAnswer: -359290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 5*w - 55 = 0, -5*z - 13 = -2*w + 33. Let g be -3 + 6\/3 - -14. Let c be (g\/(-4))\/(2\/z). Solve 4*m - 1 + c = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34.29837 kilograms to tonnes.\nAnswer: 0.03429837","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, z: 1, q: 4, d: 9, u: 4}. What is prob of picking 2 q and 1 d?\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32551219, -32551199, -32551179?\nAnswer: -32551159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39911 = -s - 26089. Round s to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (57*q + 65*q + 1 - 142*q)*(183 - 183 - 2*q).\nAnswer: 40*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(14)*1 + sqrt(14) - (sqrt(210)\/sqrt(5) - sqrt(42))\/sqrt(3))\/((sqrt(2) - -4*(sqrt(2) + sqrt(16)\/sqrt(8))) + (sqrt(2) - sqrt(22)\/(-1*sqrt(11)))).\nAnswer: -3*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/1514748 and -83\/24.\nAnswer: 3029496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*52\/(8 - 4). What is the second derivative of -16*g**2 - h*g**2 + 32*g**2 - 9*g wrt g?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 0 + 0 = 0. Suppose b*p = p + 1. Is p < -4\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 181*j + 841. Determine h(-4).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (96\/4992)\/(4\/104).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (279\/28)\/((-19)\/(-76)). Let n be 313\/14*2\/2. Let y = n - z. What is the common denominator of 95\/2 and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1909 less than -1?\nAnswer: 1908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5 + 0 + 1 + -2. Let y(w) = 3*w - 26. Let q be y(9). Which is the third biggest value? (a) q (b) t (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 243334?\nAnswer: 2, 7, 13, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119143*y**2 - 119142*y**2 + 238283*y**2.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -7*b + 3. Let u(k) = k**3 + 3*k**2 - 1. Let w be u(-3). Let h(x) = 15300*x - 7650*x - 7649*x. Calculate w*s(g) - 6*h(g).\nAnswer: g - 3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 16 = 2*a. Suppose 0 = 3*y - a*y. Suppose -i + 3 + 8 = y. Solve r = -3*w + i, 1 = 5*r - 5*w - 14 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -53461 (base 9) to base 2.\nAnswer: -1000101000101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-31)\/(-1364))\/(-6*(-9)\/(-144))?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*y**3\/3 + 506*y**2\/3 + 5326*y\/3 + 1300\/3 = 0. What is y?\nAnswer: -50, -13, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from efeffe?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 58027103?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.43 - 0.67. What is the fourth smallest value in -2, d, -5, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 6*d**3 - 624*d**2 + 617*d + 8. What is m(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-10) - 1\/(5\/(-538103)). Let w = 662621 - v. Round w to the nearest ten thousand.\nAnswer: 560000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20192122843 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 take away 19055403?\nAnswer: -19055403.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4.66 (b) 3 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(4\/(-3 - -1)). Solve -4*j + 13 = -o*f, -3*j = -5*f - 0*j - 7 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**2 - 423040*c - 423036.\nAnswer: -4*(c + 1)*(c + 105759)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5108907559 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 78, -3, 3 in descending order.\nAnswer: 78, 4, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 0)\/((-4185)\/3410*(-8)\/18).\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -4*d**2\/3 + 494*d\/3 + 2976 = 0.\nAnswer: -16, 279\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -79.3 - -79.5. Let d be 2 - ((-16)\/12 - -2). Sort i, d, -2.3 in ascending order.\nAnswer: -2.3, i, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = n + 3*u, -4*u = -6173 + 6153 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p = 18021743 - 5570745. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 150 = 7*m - 168, 5*u + 2*m - 24 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 5*k - 75, k - 2*u = -3*k + 60. Calculate the highest common divisor of k and 315.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29 + 32. Suppose -3*p = g*p - 7*p. Suppose p = -8*w + 4*w + 280. List the prime factors of w.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*m = 25*m - 905. Let f = -7 - m. Is f a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 245 divided by 49.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 732?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (642 - 642 - 9*d)*(-2 + 2 - d**3) + 48*d - 48*d + 86*d**4.\nAnswer: 95*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 - 114*j + 1192. Determine a(103).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-173556)\/3214*(-6)\/(-4)\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (2 - 0) - -7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of -k**3\/3 - 3*k**2\/2 + 4*k + 2. Suppose 0 = 2*r - 5*a + 13, 3*r + a = -3 - 8. Let q be m(r). Solve q = 5*i + 4 + 16 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 2, 883015 in decreasing order.\nAnswer: 883015, 4, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -4*i + 50. Let s(o) = o - 17. Calculate -2*l(v) - 7*s(v).\nAnswer: v + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (4682*5\/20)\/(((-11)\/(-154))\/1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 2)*(-33*a**2 + 33*a**2 - 15*a**3) + (-13 - 4*a + 13)*(3*a**2 + 0*a**2 - 2*a**2).\nAnswer: 41*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/(-21)*4\/(-10). Let k = -3 + -19. Let y = 21 + k. Which is the second smallest value? (a) n (b) y (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**2\/9 + 16661158*n\/9 - 33322324\/9 = 0. Calculate n.\nAnswer: -8330581, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3885 + -3881. Put 0.06, 13, u in increasing order.\nAnswer: 0.06, u, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -23383 or -13590?\nAnswer: -13590","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -6434720 divided by -262?\nAnswer: 24560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*c + 7 = -53 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g - 8. Let k be x(-9). Calculate the remainder when k - 6\/((-2)\/2) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -197 (b) -6\/5 (c) -4\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -17 - 643868?\nAnswer: -643881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 w when two letters picked without replacement from udwuwau?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 2)*(1 + 4 - 4 + (-2 - 4 + 2)*(0 - 3 + 2))*(-o + o + 2*o**4).\nAnswer: 10*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 981 + 165. Calculate the least common multiple of w and 16.\nAnswer: 3056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + 3*u - 3*u)*((5 - 1 - 2)*(3 - 1 - 1) - 6 + 3 + 4 + 5 - 12 + 43).\nAnswer: -78*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-16)\/(-7) + (-6)\/21 + -2. Suppose 0*n + 2*n + 4 = 0. Sort n, -1, p in descending order.\nAnswer: p, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3996764?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -35 - -8?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 4*r = 20, 2*z = -104*r + 105*r - 5 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -349323 - -349325. Let j(z) = -z - 6. Let t be j(-6). Let d be 1 - 9\/7 - t. What is the nearest to d in 3\/5, g, 4\/15?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of -k**7\/21 - 27*k**5\/10 + k**4\/4 - 554*k**3\/3 - 1877*k. Find the third derivative of f(d) wrt d.\nAnswer: -120*d**2 - 324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0556*-28.41\nAnswer: 1.579596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of -z**5\/10 + 127*z**4\/2 - 504*z**3 + 1508*z**2 + 3509*z. Determine u, given that m(u) = 0.\nAnswer: 2, 377","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 129 - 117 - (-6 - -3)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of m**5\/20 + m**2. Let k(x) be the third derivative of -x**4\/24 + 19*x**2 - 3*x. Determine b(k(h)).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = 11*i + 3*u + 6, 3*i - 38 = -5*u for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/920 and -36\/114655?\nAnswer: 917240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 AM and 8:02 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 3*q, -5*f + f - 22 = -2*q. Let g(s) be the second derivative of 0 - 26*s - 1\/3*s**3 - s**2. Determine g(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a day in seconds?\nAnswer: 25920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 831 = -4*k, 0 = -5*k + 5*n - 2*n + 1085. Let s = k + -156. Does 6 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 785, 1570, 2355?\nAnswer: 3140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13.075599 + 0.027.\nAnswer: -13.048599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 8*u. Let p(n) = -817040*n. What is p(g(w))?\nAnswer: -6536320*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -18*q**2. Let s(t) = -166155*t. What is s(z(k))?\nAnswer: 2990790*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -630.6 - 0.3.\nAnswer: -630.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**5 - 2*p**4 + 6*p**2 - 5*p + 4. Let y(b) = -b**2 + b - 1. Let u = 8 - 7. Let i(n) = u*d(n) + 4*y(n). Solve i(k) = 0 for k.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3033600951?\nAnswer: 3, 1011200317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/14 + 13\/((-8281)\/4921) + 7. Which is the second biggest value? (a) n (b) 0.4 (c) -1\/6 (d) -3 (e) 2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9850645 to the power of 1\/2, to the nearest integer?\nAnswer: 3139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 4)*(-3 + 3 + 2*n**2)*(81 - 548 + 218 + (-3 + 2 + 2)*(0 - 2 + 0) + 1 + 0 + 1).\nAnswer: 1494*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 425989.\nAnswer: 85197.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y and 1 h when four letters picked without replacement from {h: 7, y: 5}?\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75748?\nAnswer: 2, 29, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3740*m + 2964*m. Factor m + 0*v + 2\/11*v**4 + 8\/11*v**2 - 10\/11*v**3.\nAnswer: 2*v**2*(v - 4)*(v - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 102*(3003\/(-198))\/91.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*s**2 + 35912*s + 80604484 = 0. What is s?\nAnswer: -4489","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10059.2 or 464\/17?\nAnswer: 464\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 4*m + 16 = 0. Let a(d) = d - 5. Let c be a(6). Let y(q) = c - 3 + 2*q + 2 - 1. Calculate y(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -110232330 + 3?\nAnswer: -110232321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -10*v**3 + v**2 - 15*v + 25. Let b(x) = 3*x**3 + 5*x - 8. Let d(r) = 7*b(r) + 2*n(r). Let p be d(4). What is the highest common divisor of 10 and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1193809 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 2*y + 107760 = 0, -9*y = -2*h - 13*y + 71840. List the prime factors of h.\nAnswer: 2, 5, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35*m**3 - 2150*m**2 - 915*m.\nAnswer: -5*m*(m + 61)*(7*m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-6) - (-2 - (-5)\/15). Suppose -z + 3 - v = 0. What is the first derivative of 7 - z - 8*c**3 - 14*c**3 wrt c?\nAnswer: -66*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12782*i**3 - 12782*i**3 - 174*i**4 + (2*i - 2*i - 2*i**2)*(-5*i**2 + 0*i**2 + 3*i**2).\nAnswer: -170*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, v: 4, a: 2, e: 4}. What is prob of picking 4 v?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2. Let f(q) be the third derivative of -259*q**4\/24 + q**2 - 34*q. What is f(a(p))?\nAnswer: -259*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 11) to base 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 532?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence voo when three letters picked without replacement from {v: 1, o: 14, e: 2, s: 2}?\nAnswer: 91\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 20831 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -y + 16, -2 = -q - 5. Suppose -i - 4*c + 11 = 0, -2*i + 4*i = -y*c + 2. Let u(v) = -v - 7. Calculate the remainder when 6 is divided by u(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 14 + 0*b - 18*b - b**2 + 27 - 29. Suppose -y = 4*y + 90. Let x be q(y). What is the greatest common factor of 3 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*k - 73*k - 25 = 7*c, 4*c - 8 = -5*k for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.03 and -1.1?\nAnswer: 0.033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p**2 + 16*p**2 + 3*p**2)*(-p**2 + 17 - 17).\nAnswer: -14*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 0*a**3 - 2 - 25*a**3 - 4*a**3.\nAnswer: -29*a**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 3 = 3*z, -2*o + 6*z = 2*z. Suppose -2*g - o*g + 44 = 0. Is g at least as big as 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 708 + -704. Solve -2*z + o = -z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 + 3*k - 5. Let a(z) = -1. Let i(f) = 2*a(f) + x(f). Let r be i(-5). Suppose 4*c = 4*n + 6*c - 232, 4*n + r*c - 230 = 0. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19)\/(-38)*(0 + 1).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*f - 3*f. Solve f = d + d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z, 1 f, and 1 i when four letters picked without replacement from zdfzifeezoffeeoeeiee.\nAnswer: 8\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 414.531?\nAnswer: 124.3593","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -a**4 + 2713747*a**3 + 9731868?\nAnswer: -4*a**3 + 8141241*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -10, 2, 2\/3 in decreasing order.\nAnswer: 2, 2\/3, -0.1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2520 + 4413. Is 22 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 + 66. Let y = -3 + 5. Suppose -y*t - 1 = -v. List the prime factors of t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2355*j - 5*j**3 - 1247*j - 1108*j.\nAnswer: -5*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(15) + sqrt(240)*2)*4)\/(sqrt(432) + sqrt(3) - sqrt(15)\/sqrt(80)) + -2.\nAnswer: -2 + 48*sqrt(5)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/2*111\/(-370)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5133242 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*g = 4946322 - 4945422 for g.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + k - 30 = -k, y - 3*k = -10. Let g = y + 12. Suppose -4*p - 20 = 0, w - 5*p = -3*w + 45. What is the remainder when g is divided by w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of -7*j**4\/6 - 33*j**3\/2 + 22*j. What is the second derivative of h(b) wrt b?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1710575991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -219440275?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 + 3*h - 5. Let r be o(-5). Suppose -r*i = -i - 20. List the prime factors of i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 w when three letters picked without replacement from wwwwbbwww.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 5156793?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 4*sqrt(288) + 5 + -1.\nAnswer: 6 + 48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 + 26. Let g(f) = f**2 - 4*f + 3. Let l be g(6). Suppose 0 = -4*u - 5*m - l, -4*m + 7*m + 9 = -2*u. What are the prime factors of i(u)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -198*r = -181*r + 204. Let n = 0.2 + -0.1. Which is smaller: r or n?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1259690 is divided by 2818?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3*s**2 - s - 1. Let x(r) = 5*r**2 + 3*r + 1. Let m(p) = 2*n(p) + x(p). What is m(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -13952*m**2 + 27. Let v(j) = -13951*j**2 + 18. What is -2*u(q) + 3*v(q)?\nAnswer: -13949*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -29582900 rounded to the nearest 1000000?\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2430.319 weeks in microseconds?\nAnswer: 1469856931200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (6 - (-19 - -2 - (54 + -45)))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + s + 3*p - 35, 0 = p - 1. Let k(h) = h**3 - 8*h**2 + 8. Let d be k(s). Let f = d - 8. Solve q + f*q = -5 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of -19*s**5\/4 - 5*s**4\/12 + 7*s**3\/6 + 206*s**2 - 19*s + 149. What is the first derivative of r(u) wrt u?\nAnswer: -285*u**2 - 10*u + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5583874 is divided by 992?\nAnswer: 898","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 487616633 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - (-32)\/(-20) - -1. Factor 0*j**3 - s*j - 4\/5*j**2 + 4\/5*j**4 + 0 + 2\/5*j**5.\nAnswer: 2*j*(j - 1)*(j + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 449 is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of -d**3 - 9*d - 10. Differentiate t(k) wrt k.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 0 (b) 0.05 (c) 1\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 3)*(-2*b**2 + 2*b**3 + 2*b**2) + (3*b**2 + b**2 - 5*b**2)*(-112*b - 119*b + 27*b + (-4 + 2 + 3)*(b + 0 + 0)) + b**3 + 4*b**3 + 2*b**3.\nAnswer: 208*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(2299) + -1)**2.\nAnswer: 2299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 334633319 is divided by 1687?\nAnswer: 1686","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 - 9*g - 11. Let n be o(-4). Let l(b) = -b**3 + 8*b**2 + 13*b + 28. Calculate the remainder when l(n) is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o**3 + 20*o**2 - 2*o + 19. Let k be p(9). Suppose 76 = -29*x + k. Solve 3*h = -x*h - 30 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*z - 567 = 96 for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.309 less than -0.222?\nAnswer: 8.087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 12 + 4 = 4*m, 12 = -4*m - o for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 215810 to the nearest ten thousand.\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y. Let g(f) be the first derivative of -20*f**3\/3 - 13. Determine g(u(a)).\nAnswer: -20*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10 + -3254?\nAnswer: -3244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26 and 45474.\nAnswer: 45474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*a**4 + 3 - 3 + (a**3 - a + a)*(4*a + 0*a - 5*a) as t*a**2 + r*a + y*a**3 + o*a**4 + m and give o.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94649*x + 5*c + 11 = 94648*x, 0 = 5*x - c - 75 for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 3*k = -0*u + 19, 3*u - u + 5*k = -61 + 29 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35275 to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 12*o - 5. What is h(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**3 - 177816*u**2 - 119166570*u - 20041294292 = 0. Calculate u.\nAnswer: -88234, -337","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6036916?\nAnswer: 2, 1509229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2532 divided by -1266\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*o**3 + 22*o**3 + 30*o**3 - 29*o**3.\nAnswer: 35*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - a - 25 + 6 = 0, -5*a - 32 = -3*t. Let s = 4595 + -4593. Solve 3*h - s*v = -t, -2*h + 2*v + 1 = 5 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8064) - sqrt(8064)*-1) + sqrt(8064) + sqrt(8064))\/(((sqrt(32) + sqrt(512))\/sqrt(4) - sqrt(8)) + sqrt(8)).\nAnswer: 48*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*l*o**5 + 98*l*o**2 - o**5 + 2*o**2 wrt o?\nAnswer: -180*l*o**2 - 60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 7, s: 2, p: 3, q: 5, z: 1, w: 2}. What is prob of picking 1 w, 1 s, and 1 n?\nAnswer: 7\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1411393158 to the nearest integer?\nAnswer: 37569","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -x**3 - 18*x**2 + 2*x + 23.\nAnswer: -6*x - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 787668433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0, -2, 3\/112, -2\/5, 1\/26?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 c, and 1 z when three letters picked without replacement from ccccczccw?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 212314 and 1328.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**2 + v**2 + 0*v**2)*(3*v**3 + v**3 - 3*v**3) + (-v - v + 4*v)*(2*v + 2*v + 2*v**4 - 2*v).\nAnswer: 6*v**5 + 4*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**5\/11 + 152*o**4 - 120788*o**3\/11 - 130848*o**2\/11 + 617382*o\/11 - 367416\/11 = 0. Calculate o.\nAnswer: -3, 1, 81, 756","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -9*t - 245. Let r be v(-32). Solve 16 = -r*z + 35*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + b - 5*w - 26, 3*b + 30 = -3*w. Let o be 3\/(-6)*(b - 0). Solve -o*d + 12 = 0, 2*m + 2*m + 2*d - 24 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2 + 77370*r - 53274168.\nAnswer: -3*(r - 25082)*(r - 708)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 212878505 to the nearest integer?\nAnswer: 14590","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + 39. Let y be z - (-1)\/(-2)*-8. Suppose 4*q - 50 - y = 0. What is the highest common divisor of 264 and q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of -2*a**6\/105 - 9*a**5\/35 - 8*a**4\/7 - 32*a**3\/21 - 5*a + 15. Let x(c) be the first derivative of i(c). Factor x(k).\nAnswer: -4*k*(k + 1)*(k + 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11.266 + 1.42.\nAnswer: -9.846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2 + 160800*a + 2572544.\nAnswer: (a + 16)*(a + 160784)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 196939 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 101 - 93. Suppose 3*k = -y*t + 5*t + 84, -5*k - 2*t = -125. What is the highest common divisor of k and 184?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.03 at least -1.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 + 2*n + 2. Let h(c) = -c**2 + 3*c + 4. Let b(d) = -d - 1. Let l be b(-4). Let k be h(l). Give j(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 393 + -650. Let b = p + 256.6. What is the closest to -2\/23 in b, 4, -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - 4*l - l)*(-371 - 3*l - 363 + 729)*(l - l + l).\nAnswer: 9*l**3 + 15*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, e: 3, u: 1, m: 1, g: 8, y: 3}. Give prob of picking 1 e and 1 u.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**4 + a**4 - 3*a**4 + (-3*a**2 - a**3 + 3*a**2)*(2*a - 5*a + a) - 1015*a**2 - 11*a**4 + 1015*a**2.\nAnswer: -10*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -g - 3*h - 1, -6 = 2*g + 11*h - 9*h for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 17 (b) -16\/11 (c) 1 (d) -5\/2 (e) -0.2 (f) 7 (g) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.286 - -0.2458. What is n rounded to three decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 169365.\nAnswer: 2032380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2920376 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 63093 and 105155?\nAnswer: 315465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 16556 divided by 4139?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -290*v. Let i be x(-1). Let q be (-28)\/(-40)*3310\/8. Let b = q - i. What is the closest to -2 in 3, b, 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 0*q. Suppose f - 6 = -4*w, -w - f + 2 = w. Let d = w - q. Solve d*i + 4*a = -0*i + 8, 0 = 3*i - 5*a + 10 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of 0*n + 0*n**3 + 0*n**6 + 0*n**7 + 11*n**2 + 1\/8*n**8 + 0*n**4 + 0 - 1\/3*n**5. Find the third derivative of w(v) wrt v.\nAnswer: 2520*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -9 (b) 0 (c) 6 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 8453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-6))\/(7\/28)*(-18)\/(-48)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2))**45 assuming l is positive.\nAnswer: l**(-90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6804 and 5166?\nAnswer: 278964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 86*a - 42*a - 264 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 138461 + 137577 - 276038 - 3*r.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*14\/(-80)*(-85)\/(-17)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -996.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 + 24*m - 315. Calculate r(14).\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 15786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(17) + (sqrt(17) - sqrt(68)*-4))**2*3 + -2 + 3 + (sqrt(204)\/sqrt(108))**2.\nAnswer: 45926\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14.989996428 + -14.99. Round n to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 428 + 84. Let i = -1410 - -1413. Suppose -c + g = i*c. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 308 and 2615844?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94165?\nAnswer: 5, 37, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 3:37 PM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e082d + 4?\nAnswer: e0831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in 4, -4, -0.2, 59\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -177141 (base 9) in base 11?\nAnswer: -7587a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30 - 30 - 123*l + 2 + 3 - 20.\nAnswer: -123*l - 75","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 158306.\nAnswer: 1583060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/3 + 2464\/(-132).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g - 2 + 7 - 7)*(0*g + 0*g + 3*g**2).\nAnswer: 15*g**3 - 6*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 2*w + 2, -5*x = -x - 3*w - 8. Suppose -2*v - 13 = -15. Let h = x + v. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8.14 + -8. Let j = g + -17.14. Let z = 16.9 + j. Round z to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**5 - 360*x**4 - 48773*x**3 - 2962978*x**2 - 69861792*x - 128256128 = 0. What is x?\nAnswer: -91, -88, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvvvvgxvvvvvvgxvvg. What is prob of picking 2 x and 2 v?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 0 + sqrt(252) + 1)**2*4.\nAnswer: 48*sqrt(7) + 1012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-153599)\/1142*((-19)\/(-9) + -2) - -10 and 4\/(-6) + (-122)\/132?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -362, -345, -318, -275, -210?\n\"Answer: z**3 - z**2 + 13*z - 375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 19.3 and 487.\nAnswer: 9399.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42226, 84156, 125748, 166990, 207870, 248376, 288496?\nAnswer: 328218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 419.1 - 422. Let o = g + 3. What is the nearest to 7 in 0.5, -0.3, -0.4, o?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2822856 and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 + ((-6)\/3 - 1) + 1. Let q(w) = 75*w**k - w - 53*w**2 + 2 + 2*w. What is the remainder when 90 is divided by q(-1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u + 4*u - 5 = -10*z, 3*u + 6 = 5*z. Let q(b) = 15*b + 3. Determine q(z).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13043381 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*3\/(-6)*1. Let o = k - 0. Which is smaller: 3\/7 or o?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1223320 + -34331?\nAnswer: 1133434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*w - 86*w = 25008. Is w a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.51 - 0.01. Let o = y + -0.4. What is the nearest to o in -1\/2, -5, 2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -4*y**2 - 8. Let k(x) = -x**2 - 1. Let n(o) = -o**2 + 4*o + 6. Let a be n(5). Calculate a*w(m) - 6*k(m).\nAnswer: 2*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*w - 5994 = w - 7*w - 5794 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 4:48 AM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -102010 + -4?\nAnswer: -102014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**1)**(-1\/2)*(((k**(6\/5)*k)\/k)\/k)\/k**0)**(-25\/2) assuming k is positive.\nAnswer: k**(15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 35871821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*j**3 - 1 + 1)*(93 + 110 - 166) to s*j**2 + q*j**3 + t*j + n and give q.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, 64, 0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -12 - (-40 - -34)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of k**8\/84 + k**5\/15 - 2*k**2 + 2. Let a(n) be the second derivative of b(n). Find the third derivative of a(f) wrt f.\nAnswer: 240*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 43 and 387.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -326\nAnswer: 2\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + 3 - 3)*(-6*x**2 + 4*x**2 + 0*x**2) - x**3 - x + x + 0*x**2 + 0*x**2 + x**3 + (x - x - 2*x)*(-12*x**2 - 365 + 365).\nAnswer: 20*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -125, 1\/4, 0.1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(14 + (-58)\/6)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 116, -1\/3, -0.2, -136\/7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 212489714.\nAnswer: 2, 73, 1455409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 28 - -866814573\nAnswer: 866814601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of l**5\/15 - l**4\/24 - 3*l**2\/2 - l. Let s(u) be the first derivative of j(u). What is s(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 256 (base 7) to base 11.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + sqrt(77) + 3*sqrt(77)*-6)\/(sqrt(7) - 2*sqrt(28)\/sqrt(4))*1)**2.\nAnswer: 2816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 11523283?\nAnswer: 11523278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5*s**2 + 8\/5*s + 42\/5.\nAnswer: -2*(s - 7)*(s + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/2 - 112\/(-96).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 + 2*l + 3. Let t be o(3). Suppose a = -3*f - 57, t = 2*f - 2*a + a + 38. Do -21 and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 3354*u**2. Let g(r) = -r**2. Determine h(g(o)).\nAnswer: 3354*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -97 - -98. Let z = -1440 + 1443. What is the smallest value in -3\/8, x, z, 1\/17?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -3*l - l**2 - 5*l - 11 - l**3 + 10*l**2 + 9*l. Let f be r(9). Let q = f - -18. What is the least common multiple of 16 and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d + 525 + 0*d + 85 + 189.\nAnswer: -d + 799","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1571 (base 8) to base 3\nAnswer: -1012221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48160 - 48160 + 4*f**3.\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/75, 3\/2, -2628, -3\/7?\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 139.4 + -57.2. Let g = m + -16.2. Let b = 61.1 - g. What is b rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11.3642 + -0.0358. Let a = -11.8 - k. Let x = 1 - 2. What is the nearest to x in 3\/4, a, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*p**2 - 2*p**2 + 29*p**5 - 38*p**5 wrt p?\nAnswer: -540*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + (56 + -35 - -31)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*n + 123*n - 58*n.\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h + 519 = 3*m + 546, 0 = m - 5 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -130, -172, -214, -256, -298, -340?\nAnswer: -382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 3*v - 9 = 0. Solve 40 = 3*x + 4*t + 12, -v*x + 32 = 5*t for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 PM and 7:53 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/2*(5 - -3). Let z = -2 + d. Let i(j) = -5*j**2 + 5*j + 1. Let v = -1961 - -1958. Let k(u) = -4*u**2 + 4*u + 1. Determine v*k(s) + z*i(s).\nAnswer: 2*s**2 - 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -13327000?\nAnswer: 6663500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*d**2*l*o + 9*d**2*l - d**2*o + 7*d**2 - 1263*d*l*o - 4*d*o + 54*o wrt l?\nAnswer: 2*d**2*o + 9*d**2 - 1263*d*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1101*w + 888*w = 27477 for w.\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 182 - -71?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116*n**2 + 121*n**2 + 5*n**3 + 122*n**2 - 359*n**2.\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7.8 + 0.8. Let j = l + 6.9999969. Round j to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -5*s**2 - 32*s - 213. Let h(j) = -4*j**2 - 31*j - 211. Let n(z) = -3*d(z) + 4*h(z). Find the first derivative of n(v) wrt v.\nAnswer: -2*v - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.5 (b) -0.5 (c) 5\/3 (d) -11.12 (e) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3964 - -551. Suppose -11*y + f = -1788. Is y a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + n - 2*n)*(-2*n - n - 23*n).\nAnswer: 78*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2300705 to four dps.\nAnswer: -0.2301","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**3 - 232*g**2 - 3836*g - 14112.\nAnswer: 4*(g - 72)*(g + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-24)\/4*6\/(-9). Suppose -r*w + 144 - 32 = -3*t, 2*w = -t + 56. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*a*n*o**2 + 172*a*n + 4*a*o**2 + 33*a*o + n*o**2 + 14*n wrt o?\nAnswer: 4*a*n*o + 8*a*o + 33*a + 2*n*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2931703*f*o**3 + 297*f*o**2 - f*o - 590*f - 2*o**2 wrt o?\nAnswer: -17590218*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.34 times 2995651\nAnswer: -1018521.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/((-990)\/20)*6\/(-14)\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 9:28 AM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 = 21*k + 271. What is the third smallest value in -1, k, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l + 320 = 3*c - 0*c, 0*l + 2350*c + 277 = 5*l + 2336*c for l.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 37*s**2 - 1. Let h(k) = -18*k. Determine h(n(t)).\nAnswer: -666*t**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 6*h**2 + 5*h - 4. Suppose -b - t + 5 = 2, -25 = -5*t. Let v(x) = -6*x**2 - 4*x + 3. Calculate b*c(j) - 3*v(j).\nAnswer: 6*j**2 + 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 + 13. Let h be c\/((-1)\/4 - 0). Which is greater: h or -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 696063?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 43 - (-5 + 2 + 5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5d98 (base 15) to base 6.\nAnswer: -232155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1045.50401 times 3\nAnswer: -3136.51203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1368461 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4063 and 238.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13*s - 4*s + 5*s)*(7*s + 18*s - 7*s) + (-s + s - s)*(2*s - 4*s + 0*s) to j*s**2 + l + o*s and give j.\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -7.5 (b) 3\/5 (c) -4 (d) 23 (e) -3 (f) -0.059\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 - 3*w - 16. Let i be t(-3). Suppose -3*d + 1 = -i. Which is the second biggest value? (a) d (b) -2 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 6, u: 7}. Give prob of picking 2 h and 2 u.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 + 12. Let f = r - -2. Suppose -l - 5*y + 29 = 0, -l = 6*y - f*y - 24. Calculate the highest common factor of 44 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -3. What is the closest to f in -2\/15, 2, 1?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ieiejmeec. Give prob of sequence eemi.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 7 - 1)*(0*w**5 + w**5 + 2*w**5).\nAnswer: -18*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 345486350 to the nearest 100000.\nAnswer: 345500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 7516 (base 8) to base 16\nAnswer: f4e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-105)\/(-20) + 22\/8 + -3 and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r**2 + 16*r - 5. Give d(5).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -3, 0, 66?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 0.1, 5, 1\/3, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-1*(sqrt(102) + 4*(sqrt(102) + sqrt(102)*3) + sqrt(102)))\/((sqrt(54)*1*-5)\/sqrt(9)).\nAnswer: -5 + 18*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 9*d**2 - 2*d. Suppose -548 = 7*v - 527. Let q(y) = -8*y**2 + 3*y. Give v*r(h) - 2*q(h).\nAnswer: -11*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3\/61 - 223\/427. Suppose -4 = f + 4*f + 2*n, 0 = -2*f - 2*n + 2. Let w be (-3)\/(1\/f*2). What is the third smallest value in 2\/5, w, u?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.531 + -0.031. Let q = 3977 + -3980. Which is the third biggest value? (a) -0.02 (b) z (c) 1 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54698 to the power of 1\/2, to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -99.346 + 100. Let r = -0.6539661 + j. Round r to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1 + 182\/200 + -3 and -69\/2.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -26, -43, -60?\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(171) + -2 + 0 + 3 + sqrt(1216) + 2 + sqrt(1216) + 4 + -1)**2*-3.\nAnswer: -20589 - 228*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*((k\/k**(-12\/11)*k)\/k)\/k*k*(k**(2\/15)\/k)\/k)\/(k**(2\/9))**(-29) assuming k is positive.\nAnswer: k**(3796\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 457*a + 32397. Give j(-70).\nAnswer: 407","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32072 + 64437 - 32053 - 4*p.\nAnswer: -4*p + 312","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n + 21. Let p be i(0). Suppose 16*h + 59 = -p. Sort h, 4, -2, -0.03 in ascending order.\nAnswer: h, -2, -0.03, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 106275 and 651275.\nAnswer: 25399725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of -g**8\/20160 - 7*g**5\/60 - 3*g**2. Let x(s) be the third derivative of d(s). Let t(h) = 9 + h**2 - 9. Give t(x(i)).\nAnswer: i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -5*i**3. Let o be c(-1). Suppose -o*z + 10 = 5*k, 12 = -3*z + 3*k - 0. Let n = 4 - z. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 887*s**3 + s**2 - 69*s + 33. Let l be h(16). Let f = l - -37067663. What is f rounded to the nearest 1000000?\nAnswer: 41000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1885 and 260507?\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/6 - 0) + (-28)\/(-8). Let y be 4 + 2\/(-5 + u). Solve 3*n - y = 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of 7*t**9\/144 + t**8\/20 + t**7\/70 - 5*t**3\/6 - 2*t. Let q(i) be the second derivative of f(i). Factor q(h).\nAnswer: 3*h**3*(7*h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + n = -g - 2, 0 = -n for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-20) - 11844\/840. Let l be ((-3)\/9)\/(28\/2232*2). Which is smaller: z or l?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -932*i - 125 = -957*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1661\/4 + -416. Which is the fourth smallest value? (a) 2\/3 (b) 2\/7 (c) 5 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 20 = -h + 2*c, 5*h - 48 = 4*c. Let d = h + 9. What are the prime factors of d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 equal to 12424\/383?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 606*y - 29556 = -21*y + 2152 + 3404 for y.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3842 and -0.27.\nAnswer: -0.103734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1546 + 1626. Suppose l - 2 = 0, 4*m + l - 2*l = 10. Suppose x - 55 = 5*u, -2*x - 2*u - m*u = -i. What is the greatest common divisor of 15 and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (69*p - 251*p - 17*p)*(-3 + 3 + 2*p) as h + d*p + w*p**2 and give w.\nAnswer: -398","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 923 is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of 2*t**2 - 2*t + 1. What are the prime factors of s(5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 - 5*i + 4. Let z(p) = -p + 2. Let y be z(5). Let x be 0 - (30\/(-2))\/y. List the prime factors of j(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.22 + -0.14. Let n = 0.6 + -0.52. Let m = n - a. What is the nearest to 1\/4 in -2\/11, m, 3\/4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -3*h**2 - h**2 - 5*h**2. Let p(k) be the third derivative of -k**4\/12 + k**2 + 21. Determine p(w(m)).\nAnswer: 18*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 1:41 AM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4201214.\nAnswer: 2, 2100607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of i**4\/4 - 8*i**3\/3 + 13*i**2\/2 - 14*i - 38. Determine s(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 5*n**2 + 4*n**3 - 3*n**3 + 3*n**3. Let z be ((-2)\/(-3)*-6)\/(-2). Let u(h) = -2*h**3 - 2*h**2. What is z*x(v) + 5*u(v)?\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p + p**2 - 3*p)*(3*p + 0*p - 5*p) + 9*p**2 - 56*p**3 - 9*p**2.\nAnswer: -58*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*x - 87*x = 100. Find the third derivative of -33*y + 47*y**3 + x*y + 14*y - 3*y**2 + 2*y**2 wrt y.\nAnswer: 282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1907163*v**3 + 700642.\nAnswer: -5721489*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.3 + -1. Let d = -4\/7 + 50\/63. Which is the second biggest value? (a) -1\/2 (b) v (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 336 and 5124.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 6:19 PM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 558 (b) -3 (c) 0.89\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5433425 to the power of 1\/3, to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - b = -492. Suppose 0 = -4*a - 3*l - b, 5*a + 30 = -4*l - 124. Let w be (0 - 5)*36\/a. Solve -z = -4*z + w for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 88 - 385c?\nAnswer: -37a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*b + 55 - 780. Let j(d) = 21*d + 175 + 28*d + b*d - 80*d. Let p(c) = c. What is p(j(n))?\nAnswer: -2*n + 175","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 + -12. Solve o*x = 3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 95931564*a**4 - 913288*a**2 - 75.\nAnswer: 2302357536*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -43 - -93. Let n be (-30)\/3*(-4)\/j. Factor n*y - 2\/5*y**2 + 0 - 2\/5*y**3.\nAnswer: -2*y*(y - 1)*(y + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 x when four letters picked without replacement from ooxyxzozzzzyuoa.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*(2\/(-4) + 0). Which is greater: m or -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29769 = -775*x + 11944 for x.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 6*x = -5*f - 238 + 553, -9*f + 2*x = -50 - 55 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, -89, -148, -209?\nAnswer: -272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 3*q**3 - 8*q**2 + q - 9. Let s = 36 - 29. Is h(s) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7050721?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0047249055 to 6 decimal places.\nAnswer: 0.004725","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 87 + -82. Suppose -b*r + 10*r - 20 = 0, -4*l + 10432 = -3*r. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50, -51, -54, -59?\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 198 = -5*y. Calculate the least common multiple of y and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 835 divided by -1534\nAnswer: -835\/1534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l*l\/(l*(l*l*l**22)\/l)*l)*l**(-27)*l*(l*l**(-7))**(-41) assuming l is positive.\nAnswer: l**242","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q**2\/4 + 549*q\/4 - 1890 = 0 for q.\nAnswer: 15, 168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s - r + 9, 8 = 5*s - 6*r + 10*r for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-7)*(-1262107)\/(-14619).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3939*t + 3*m = 3942*t, 2*t = -2*m + 12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17533?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand t + 0*t + t - 9*t - 4*t - 2*t - 13*t - 4*t + 4*t + (-4*t + 0*t + 2*t)*(0 + 1 - 2) - 5*t + 3*t + 4*t + (-5 + 5 - 1)*(-2*t + 1 - 1).\nAnswer: -20*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00144769 rounded to four decimal places?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 8*u**2 + 41*u - 146. What is the units digit of m(-32)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42093, -42049, -41923, -41673, -41257, -40633?\nAnswer: -39759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 459\/252 - (-6)\/(-4)*12\/(-42).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 38 and 42537162?\nAnswer: 42537162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 295 + -291. What is the fourth biggest value in -7, -2, x, 2\/7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3258.164 plus -4?\nAnswer: -3262.164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1003 - 1003.5. Sort i, -69, -3.\nAnswer: -69, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i + 33 - 16 + 26 + 25*i**2.\nAnswer: 25*i**2 - i + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32730?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mma. Give prob of picking 2 m.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*d**4\/4 + 2207*d**3\/2 + 286135*d**2 - 383231*d\/2 - 382495\/4 = 0. What is d?\nAnswer: -1135, -337, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - 4 + 4)*(-1 - 3 + 5 + (1 + 2 - 5)*(-2 - 1 + 2)).\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -q**4 + 76*q**3 + 4125*q**2 - 322700*q + 318500 = 0.\nAnswer: -65, 1, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 6421*o. Let y(s) = -11*s - 18. What is w(y(p))?\nAnswer: -70631*p - 115578","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -51 + 53. Let o = 12 - 8. Let h be (2\/(-6))\/(2*2\/(-12)). Sort h, u, o in ascending order.\nAnswer: h, u, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 + -5)*(1 - -1). Let o = 7 + q. Suppose -3*l + 30 - o = 0. Calculate the lowest common multiple of l and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 186 + -1736\/9. Let u = -127\/18 - y. Which is the closest to -2\/7? (a) -0.1 (b) u (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 4) in base 2?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 1102299?\nAnswer: 2204598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.36 + -0.084.\nAnswer: -0.444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 87.8653ug?\nAnswer: 0.0000878653","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4811.08 + -4811. Which is the nearest to d? (a) -2\/9 (b) -2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-3 - -1 - (-23 + -18 - -12 - -1)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 PM and 9:58 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 102 = -2*l, 2*l - 15466*v + 18 = -15465*v for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -6*q + 3*q - 2 + 0*q + 8*q. Let n(a) = 11*a - 2. Let z(b) = 23*b - 5. Let o(w) = -5*n(w) + 3*z(w). Let s(t) = 4*o(t) - 11*y(t). Calculate s(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -2\/3 (b) 4347 (c) -0.07 (d) -2\/37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 5879?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 641 - 679. Let z be (0 + b)*2*91\/(-52). Calculate the greatest common factor of 14 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 152*r - 1664. Determine n(11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mddzd. Give prob of picking 2 d.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 4*d = -271, -2*d - 219 = -4*f - d. What is the common denominator of 2*-1 + (3 - 104\/f) and 7\/55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(240) + (sqrt(240) + (sqrt(240) + 1*sqrt(240) - sqrt(240)) - sqrt(240))*-3)\/sqrt(4))\/(sqrt(132)\/(2*sqrt(704)))*1.\nAnswer: -32*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from {z: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -5150?\nAnswer: -10300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 1. Let k(w) = w + 2. Let l be k(s). Solve 0 = -3*b - b + 4*z + 8, -3*b - 3*z - 18 = l for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -14.38, -0.01, 3, -34?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 26 = 4*i, 2*i - 37 + 38 = -k for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 1958 + 442 = 73*s. Calculate the least common multiple of s and 426.\nAnswer: 2130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -3*l**4\/4 + 5367*l**3 - 13656807*l**2 + 14509663032*l - 5481667966512 = 0.\nAnswer: 1084, 2494","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 (base 4) in base 3?\nAnswer: 1121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -1173*y - 17072. What is h(-15)?\nAnswer: 523","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4*(-3)\/(-6) - 5. Find the common denominator of -7\/6 and (1\/4)\/(g\/966).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -29*n**2 + 63*n**2 - 33*n**2 - 11*n + 15 + 7*n**3. Let m be x(6). Suppose -u + 6*l = 2*l - m, 2*l = -4*u + 5988. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 4*c = -224, 65*w + c = 68*w - 136. Calculate the least common multiple of w and 750.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 189\/(-28) + 21\/3. Let -q + 1\/4*a + 1\/4*a**2 - 1\/4*a**3 = 0. What is a?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2144690?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 10:40 AM?\nAnswer: 2:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -21*q + 35. Let n be q\/10 - 6\/12. Solve 0 = -n*p - 3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 321 - 165. Let d = q - 11. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.19 + -0.29. Let f = -2.9 + 3. Let t = f - y. Round t to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 4*g + 15 - 57, 5*b + 105 = -2*g. Let y be 1\/(-3) + b\/(-9). Solve -r + 3 = y for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rggrggrrgg. Give prob of picking 1 g and 2 r.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 54 + -74. Let m = 19.24 + c. Let p = 0.7476 + m. What is p rounded to 3 dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -2. Let r = -2 + p. Solve r*q - 4*q + 5 = -3*u, 3*q - 3 = 2*u for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j + 206*j**3 + 208*j**3 - 411*j**3 - 22*j**2 to r + s*j + k*j**3 + z*j**2 and give z.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 402, 404, 406, 408?\nAnswer: 410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 5*b + 25, 4*z - b + 20 = 37. Suppose -15*i = -14*i + r - 1230, -3*r = -z*i + 4913. List the prime factors of i.\nAnswer: 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 592?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(20) - (sqrt(180) + sqrt(20)))*5 - (-3 + sqrt(180) + 0 + sqrt(720)\/sqrt(9)).\nAnswer: -40*sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 272842.\nAnswer: 2, 136421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2643149*l**3 - 1 + 1 + 2642983*l**3.\nAnswer: -166*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43, 190, 455, 838, 1339?\nAnswer: 1958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p**3 + 16*p - 16*p + 3*p**2 - 3*p**2 - p**3 + (0*p - 3*p + 2*p)*(-2*p**2 + 4*p - 4*p) - 3*p**2 + p**3 + 3*p**2 + (2*p - p**3 - 2*p)*(-2 + 2 + 1).\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -3256.\nAnswer: 1\/3256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.5913476ng?\nAnswer: 0.0000000005913476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 94*w - 89?\nAnswer: 94","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(209)\/(sqrt(55)\/sqrt(5)) - (sqrt(114)\/sqrt(6) + 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.09 + -0.07. Let u = -0.035 + y. What is u rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 10*m**2\/13 - 242*m\/13 + 232\/13 = 0?\nAnswer: 1, 116\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xzk when three letters picked without replacement from {k: 2, x: 1, f: 1, z: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 149*-108.\nAnswer: -16092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -42215*k + 88570*k - 1 - 42832*k + (-3 - 2 + 7)*(3*k - k + 0*k).\nAnswer: 3527*k - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 320 = -2*z. Calculate the greatest common factor of z and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of 0*p + 0 + 16*p**2 + 1\/120*p**6 + 13\/60*p**5 - 1\/4*p**4 - 5\/2*p**3. What are the prime factors of h(-13)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/252 and -37\/140.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 16 = 29. Suppose 10*r + 145 = o*r. Suppose -3*h = -73 - r. What are the prime factors of h?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 - 13*i + 20. List the prime factors of h(17).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3*i + 2 - 1 + (-1 + 1 - 2)*(-4*i + 3*i + 0*i))*(-11*i + 11*i - 3*i**2) - 7*i**3 - 14*i**3 + 0*i**3.\nAnswer: -18*i**3 - 3*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8370?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.02 in 4, 3\/5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1301033 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 181*u**3 - 2615*u**2 wrt u.\nAnswer: 1086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 v when two letters picked without replacement from {v: 1, d: 2, w: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 105 + 235. Is 5 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 886.0631 + -886. Let f = n + -0.363. Let r = f + 0.3. What is r rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 74480*q + 26 = 74482*q, 5*t + q - 22 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, t: 1, c: 1, q: 7, s: 2}. What is prob of sequence sqt?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2945*h - 1540 + 1540)*(66*h - 66*h - 4*h**2) to a*h + m*h**3 + w + g*h**2 and give m.\nAnswer: -11780","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 512, 4054, 13650, 32324, 63100?\n\"Answer: 504*u**3 + 3*u**2 + 5*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31045\/(-8870)*(-88)\/(-14).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-69 - 3*d + 69)*(1 - 1 + 1) + 5*d + 0*d - 3*d + (3*d + 3*d - 4*d)*(-1 - 2 + 1) to q*d + y and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12)\/(-2*((-54)\/960)\/(-3)) a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - -59. Suppose 5*d + 4*h - n = h, 0 = -2*d + 5*h. Is 5 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -20046516 - -113?\nAnswer: -20046403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/2)\/((-10)\/120). Let s = -8\/3 - k. Find the common denominator of -33\/10 and s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 385206?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 123794911 and 37282.\nAnswer: 123832193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*c - 4 = -19*c, -4*r - 4*c + 380 = 0. Calculate the remainder when r is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 + -2. Let n = -17 + o. What is the biggest value in 0.4, n, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 43738914 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -10*4\/(16\/2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 570961716?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1131*s + 1126*s - 6799*s + 1139*s + 1135*s + 1137*s + 1130*s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.2769641507 + 642.7230321193. Let z = j + -648. What is z rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1\/35 (b) 7 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*h + 8*h**3 - 4*h**2 + 7*h + 2*h**2 in the form z*h**3 + b + w*h**2 + t*h and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17166 is divided by 1845.\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a = -50 + 28. Let v(f) = -f**3 - f**2 + f - 1. Let w(y) = 4*y**3 + 12*y**2 - 12*y + 12. Calculate a*w(i) + 24*v(i).\nAnswer: -16*i**3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-32*q - 26 + 56*q**4 + 24 + 3*q**4)*(-4*q - 4*q + 2*q).\nAnswer: -354*q**5 + 192*q**2 + 12*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2846787623?\nAnswer: 229, 12431387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2883 is divided by 103.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - 12*x**2 - x + 6. Calculate t(12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*r + 2 + 34. Let u = -2 - 2. Is 12 a factor of (u\/r)\/((-12)\/(-216))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-13.9.\nAnswer: -27.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/(-68) + 1236\/204 + -6?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16\/6*(-3)\/(-2). What is the second derivative of 8*i - t*i**3 + 2 - 2 + 6*i**3 wrt i?\nAnswer: 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -234*b**2 - 309*b**2 - 178*b**2 + 707*b**2.\nAnswer: -14*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*y - 30*y + 5352 = -107*y - 10443 for y.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 412668, 412670, 412674, 412680, 412688, 412698, 412710?\nAnswer: 412724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*o - o - 2*o)*(4 - 3 + 1) + 49*o + 78*o + 34*o + o - o - o to b*o + t and give b.\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2061?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -42390165, -84780362, -127170559?\n\"Answer: -42390197*m + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 622747627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.941184 to two decimal places.\nAnswer: 6.94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + 4*g**2 + 8*g + 1. Let l(u) = 31*u + 2*u**3 - 4*u**2 - 48*u - 4*u**2 - 1 + 0*u**2. Let b(d) = -2*l(d) - 5*s(d). Calculate b(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of -t**4\/6 + 2*t**3\/3 - 2*t**2 - t. Let f(z) = 2*z**2 - 3*z + 3. Let b be -10*(-11 + 10) - 7. Calculate b*h(o) + 4*f(o).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31 - -55. Suppose 7*r + 13600 = c*r. Round r to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 - 373*y. Let g(o) be the first derivative of -3*o**2\/2 - 1404. Give s(g(q)).\nAnswer: -9*q**2 + 1119*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 124*c - 7463. Determine g(60).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15299745979 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (19690\/(-1969))\/((-10)\/22)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/198967 and 22\/3.\nAnswer: 596901","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + q + 17 = 0, 2*j + 2*q = -j - 50. Let r = j - -22. Suppose -2*o = -134 - r. Calculate the remainder when o is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + 6*u**2 - 3*u - 13. Let g = 20 + -13. Suppose 3*s - 5*m + 3 = 0, m - 8 - g = 3*s. Let f be q(s). Solve -f = -3*h + 1 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 3*m - 139 + 4, m = -5*v + 189. Solve v*y + 39 = -177 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00830434385 rounded to 7 dps?\nAnswer: 0.0083043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6 - 1)\/15*3. Let y be ((-35)\/(-5) + -4)\/q. Solve -6*f - 2*u = -2*f - 22, -y*f + 13 = -2*u for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 - 5*v + 16. Let d be m(-7). Suppose -4*f - 3*z - 2*z + 49 = 0, -d*f + 35 = -z. Calculate the remainder when 41 is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 252442.20000065 + -252445.5. Let y = -3.3 - i. What is y rounded to seven decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -266426, -532931, -799436, -1065941?\n\"Answer: -266505*x + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1341021 - -11?\nAnswer: -1341010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 5*i = 4, r = 12174*i - 12179*i + 14 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 566487 to the nearest integer?\nAnswer: 753","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.7 + -1. Let s = v + 5.3. Let p = 2 - 1.8. What is the third biggest value in 0, s, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 139 - 141. What is the closest to 0 in -5, 0.12, o?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22129?\nAnswer: 22129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + y = 15, 3*q + 2*y = -y - 30 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -153.300566 + -0.5.\nAnswer: -153.800566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 549 and 12993?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*p - 131 + 119 = -41*p for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 0.5, 1, 6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/((-15)\/((-1050)\/28))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -502*a - 393*a = 307*a - 312*a - 24030 for a.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 878 - 878 + 92*d**2. Let h(n) = 2*n. Give c(h(p)).\nAnswer: 368*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - -3 - 5)*-1. Let b be (5\/z)\/((-1)\/(-2)). List the prime factors of ((-9)\/b + 1)*-60.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*u**2 - 3*u**2 - 6*u**2 - 3*u)*(u**2 - 5*u + 5*u) + (-2*u**3 - 10*u**2 + 10*u**2)*(-4*u + 2*u + u).\nAnswer: -u**4 - 3*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34125 by -6825.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 4*m**2 - 1724*m - 5160. Suppose -k = -6*k - 5*y + 875, -5*k + 3*y + 907 = 0. Calculate the remainder when k is divided by v(-3).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1375 a factor of 13751375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in thirteen eighths of a micrometer?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -13314352 (base 6) in base 9?\nAnswer: -748135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1\/170?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 20*f**2 + 2*f - 3. Give j(1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnlnvlnnjvnvln. Give prob of picking 1 n and 1 j.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1115 (base 6) to base 15\nAnswer: -128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 3*q + 1 = j, -19*q + 17*q + 88 = 88*j for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-24)\/42 - 1*-1. Suppose 5*u = -5*k - 35, 0 = 4*u - 3*k + 5*k + 20. What is the closest to -1\/3 in 1, i, u?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16655 is divided by 47?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 1:41 PM?\nAnswer: 12:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 28c + 43868?\nAnswer: 43b27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 3 (b) 79 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-1 + (-52 - -8) + (0 - (-11 - -10))).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 89, 83, 79, 83, 101?\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -21 - -15 - -16?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 + 4*r**2 - 5*r + 2. Let j be t(-5). Let a = 0 + j. Suppose -a*h = -5*h + 45. Is h a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 519675181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, a: 4, s: 5, n: 1}. Give prob of picking 1 a and 2 o.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m*m*m**(-2)*m)\/((m\/m**3*m)\/m))**25 assuming m is positive.\nAnswer: m**125","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 34\/9 of a hour?\nAnswer: 13600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -4*t - 29. Let h be d(-7). What is the lowest common multiple of 5 and -4*((-9)\/2 + h)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) 1 (b) -2796 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.3 (b) -232 (c) 5 (d) -28 (e) 32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1662 - 1665. Let x = 41 + -41.3. Sort h, x, 1\/6 in ascending order.\nAnswer: h, x, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 + 89 - 27 - 29 - 1112*t.\nAnswer: -1112*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -155 + 8\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-34)\/(-6) - 10\/15. Let f(z) = -1 + 5*z**2 + 10*z + z**3 - 3 - k*z. What is f(-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of -y**5\/20 + 3*y**2\/2 - 2. Let a(u) be the second derivative of j(u). Let s(n) = 3*n**2. Calculate s(a(w)).\nAnswer: 27*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 44 - 66. Suppose 650 = -26*k - 12*k + 12*k. Is s >= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9574693 nanograms in grams?\nAnswer: 0.0000000009574693","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -107 - -6. Let i = -2288.578 + 2187.5707. Let h = i - v. Round h to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13805 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 2*l - 1828, -3*a + 4*a = 4*l + 370. Let i be a - (2 - (0 - 2\/1)). Suppose -2*x = -2*b - i, 7*b = 3*x + 2*b - 545. Is 28 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 8) to base 13\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and (-2)\/11 + 2485\/55.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 times -6?\nAnswer: 4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -10*o - 39. Calculate i(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + p = 25. Suppose 0 = -0*h + 5*h + 4*o + 1, 3*h + 4*o = -7. Let w be (-1 - 1) + 6 - 0. Solve -w*u + p = c - 4, -h*c + 3*u = -12 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -6*z**3 + 4*z**2 + 5*z + 5. Calculate the remainder when l(-2) is divided by (15\/(-2))\/3*-6.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0447 * 1782\nAnswer: -79.6554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 931*-51\nAnswer: -47481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1443294 and 288.\nAnswer: 23092704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g + 0*g + 14*g**2 + 39*g**2 + (-1 + 1 + 7*g + 2)*(-4 - 3*g + 4).\nAnswer: 32*g**2 - 4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-12)*(25 - (-141)\/(-6)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 3412962?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-5)*u**(-4\/13)*u assuming u is positive.\nAnswer: u**(-56\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -343 by -4.\nAnswer: 343\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000176837961 rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzfzrzjoozjforofozrz. What is prob of sequence for?\nAnswer: 1\/152","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n**3 - 7*n**2 - n + 3. Determine y(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*v + 1008 = -71*v for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 4*z - 2*i = 16, -z = 2*i - 9. Suppose -5*l = z*j - 10, 0 = -2*l - 10*j + 7*j + 3. Solve -p - 5*h + 0 = 11, -l*h - 13 = -p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 6}. What is prob of picking 3 y?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1625 + 2299 = -1073*t - 2545 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 560 and 3150?\nAnswer: 25200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-65)\/(-52))\/((-3)\/12). Let n = 2 + -1.9. Sort n, d, -0.01 in descending order.\nAnswer: n, -0.01, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -7*a + 1 + 7 - 2. Let m(w) = 6*w - 5. Determine 5*m(h) + 4*q(h).\nAnswer: 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -102a2 (base 16) in base 8?\nAnswer: -201242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((-30)\/(-25))*(18\/(-9))\/(-2)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.045469 + 557.435469. Round g to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a861 (base 11) in base 8?\nAnswer: 34011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1059 + 1057.697. Let x = -1.3 - f. Round x to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 370529 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.2 + -4.9. Sort -1\/2, z, 0 in ascending order.\nAnswer: -1\/2, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6 (b) -12 (c) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39 and 442?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2308\/(-12117)*21\/(-1). Let h = 3\/4 + -13\/12. Which is the closest to h? (a) 5 (b) s (c) -4 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a**2 + a**2 + 5*a**2)*((-4*a + 14*a - 3*a)*(-1 + 1 + 2*a) + (-4*a + 4 - 4)*(3*a - 3*a + 2*a))*(0*a + 2*a + 0*a).\nAnswer: 24*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (2\/8 + -1)\/(528\/22784*8) and 1 - (-4)\/(120\/157).\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 2*x - 28, -45*r - x - 2 = -42*r. Find k, given that 33\/2*k - 33\/2*k**r + 90*k**2 - 363\/4 + 3\/4*k**4 = 0.\nAnswer: -1, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2 + 246252534*g - 5053359208451763.\nAnswer: -3*(g - 41042089)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 12:49 AM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -6.022. Let o = 0.0249 + p. What is o rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of 47*f**4\/24 + 4*f**3\/3 - f**2. Is a(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5449527.\nAnswer: 3, 605503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 3*f**2. Let n(o) = -5*o**2 - 3*o. Let q(a) = -a + 2*a**2 + 2*a - a**2. Suppose 11 - 8 = -c. Let r(k) = c*q(k) - n(k). What is y(r(j))?\nAnswer: 12*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of -11 - 156*b**2 - 96*b - 345\/8*b**4 - 1\/4*b**6 - 241\/2*b**3 - 57\/10*b**5. Suppose p(k) = 0. What is k?\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(-4\/7)*i))**(2\/111)\/((i**8\/i)\/i**(5\/4)) assuming i is positive.\nAnswer: i**(-17839\/3108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4862286468?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wvrc when four letters picked without replacement from wwvrcvwwrwrrvwwwwww?\nAnswer: 11\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 102727601?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12265 is divided by 4085.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 45\/6) + 4048\/(-736)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21060480 divided by -24.\nAnswer: 877520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -375*k - 7543 - 332 for k.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-12) - (-18)\/(-8). Let d = i + 3. Solve 6 = 5*g + d for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3370 and 1678597?\nAnswer: 16785970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/7 (b) -4 (c) -0.3 (d) -2\/835\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 6. Let q = 3 + a. Put -5, q, 4 in ascending order.\nAnswer: -5, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1 - 0.1. Let u = c + 0.1. Let v = 76 - 81. What is the nearest to u in -2\/23, -3\/5, v?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a milligram in micrograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 - 14*n**2 + 23*n + 15. Let r(d) = -5*d + 42. Let m be r(6). Does 3 divide k(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + (-14)\/(-10))\/((-4)\/200). Suppose -288 = -p - 2*p - 3*a, 2*a = -3*p + 292. Let l = z + p. Round l to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -1042*p + 7356. Let w be g(7). Solve w = -37*d + 99*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43\/14 - 18\/7. Suppose q - 5*q = 5*x - 16, 10 = 3*x + 2*q. Which is the closest to j? (a) x (b) 0 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -1 + 2*o - 1 + 2. Let i(t) = -1. Suppose 0 = -4*z - 4*s - 64, -6*s + 2*s + 8 = -2*z. Let u(w) = -2*w + 12. Let k(q) = z*i(q) - u(q). Give a(k(c)).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - 0)*-1 + 0. What is the units digit of (4 + 2)*g\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -2\/9 (b) 4 (c) 4.61 (d) -4 (e) 15 (f) 5 (g) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 3:10 AM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 5*h + 1. Let y be g(-4). Suppose 11*a - y = -1. Suppose 8 = 3*d + d, 0 = 5*f + d + 13. Sort a, 3, 0, f in increasing order.\nAnswer: f, 0, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 0 + 3 = 0. Does 11 divide ((-51)\/z + -1)*(-5)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 + -19. Is 13\/4 greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1603?\nAnswer: 7, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(150)*1 - sqrt(150)) + sqrt(6))\/(sqrt(12)\/sqrt(4)*-6))**2.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of -m**3\/3 + 5*m**2\/2 + 3*m. Let c be (1\/1)\/(2\/38). Suppose -s - c = -5*d, 19 = 5*d + 3*s - 4. Determine g(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6253373\/3 > -2084457?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r**2 - 475*r + 15073. What is g(111)?\nAnswer: -689","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 9*c**2 + 9*c + 2. Let q(k) be the third derivative of 1\/6*k**3 + 1\/6*k**4 + 0*k + 0 + 5*k**2 + 1\/15*k**5. Let h = -1 - 4. Give h*q(g) + 2*b(g).\nAnswer: -2*g**2 - 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(4*sqrt(1053) - sqrt(1053)) + 5*(sqrt(1053) + -3 - sqrt(1053)) + sqrt(1053)*-1*-4*2 + -4)**2.\nAnswer: -8892*sqrt(13) + 712189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.047516662 to 1 decimal place.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1805?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -779753 - -779752.9313694. Let m = x + 0.0687. What is m rounded to 5 dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7200 = -4*p + 4140. Let q be ((-6)\/p)\/((-28)\/140). Suppose n = 4*v + 2*n + 5, v - 4*n - 3 = 0. Are q and v non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 58, 0, 6, 1, 488, 2, 3.\nAnswer: 0, 1, 2, 3, 6, 58, 488","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (352\/286)\/(112\/42)\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/10)\/((-16)\/(-70)). Let n = -17\/8 - x. Which is the nearest to n? (a) 0.2 (b) -0.3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 - 2*m + 2)*(-1 + 1 + 2) - 34 + 34 - 8*m + 73*m + 78*m - 24*m)*(-2 - 2 + 3) to the form f*m + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -134661 + 197297. Let m(t) = -6*t**2 - 62636 + f. Let x(p) = -p**2. Calculate m(x(r)).\nAnswer: -6*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 56451 and 1488?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 206702082 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 10938 (base 13) to base 3\nAnswer: 1112022220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 b when two letters picked without replacement from {b: 4, f: 7, o: 4}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*v - 18 = -3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (78\/(-6))\/(1\/(-3)). Let f be -1 - (-2)\/3*y. What is f rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-3)*(-6)\/(-4). Suppose -1 = -4*z - 9. What is the third biggest value in x, z, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7897 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + m = -1 - 2, 2*c - m = 9. Let u = 1 + -1. Solve o + c = u, 0 = -5*v + 2*o + 2*o + 13 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -2*n + 7 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 182 + 4234735?\nAnswer: 4235027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 4 + (-1 + 2 - 2)*(0 - 5 + 3) + 3 - 6 + 4 + 25 - 23 - 74)*(4 + 1 + 10)*(o + 2*o - 4*o).\nAnswer: 990*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-30)\/(-9) - 5\/15. Let x(b) = 52*b + 1. Let u be x(4). Suppose 276 = -0*f + 4*f - 2*s, -h*f = -2*s - u. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 4 - 2*a**2 - 3*a**3 + 2 + 2*a**2 + 3*a - 6*a**2 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 103.9 + -104. Let p(z) = -3*z**2 - 8*z + 4. Let n(j) = 7*j**2 + 17*j - 9. Let l(v) = -4*n(v) - 9*p(v). Let c be l(4). Sort c, i, 6\/11.\nAnswer: i, c, 6\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.016276 rounded to 3 dps?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 - -26. Suppose -z - 138 = -h*z. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16359223 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145*w - 30345368 + 189856704 = -80231664. Round w to the nearest ten thousand.\nAnswer: 1650000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -7*n**2 - 2*n - 1. Let x(d) = 146 + 8*d**2 + 3*d - 289 + 144. Give -3*r(m) - 2*x(m).\nAnswer: 5*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 312790?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 3211.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 3 m when four letters picked without replacement from {m: 5, d: 14}.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.38 - 0.3. Let y = j + 2.92. Which is the nearest to -0.1? (a) y (b) -3\/5 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - g + 2. Let a be t(0). Suppose h - a*h = -25. Let v be (12\/(-5))\/((-5)\/h). Solve v = 4*i - n, -3*n = -7*n for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = 3*t + 13, 5*t = -5*m + 10*m + 5 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, -3, -5, -4, -165 in descending order.\nAnswer: 27, -3, -4, -5, -165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1166713 - 1166687 = 4*c - 5*p, 3*p = -18 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -13850525 divided by 2770105?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 973174.5 grams?\nAnswer: 973.1745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-two fifths of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + 13*a**2 + 2*a - 10. List the prime factors of o(13).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31\/46 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of -i**7\/30 - i**6\/60 + 133*i**5\/60 - 43*i**4\/6 - 10*i**3 - 396*i**2. Suppose p(d) = 0. What is d?\nAnswer: -5, -2\/7, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240 = -40*o + 16*o. Let a(g) = 2*g**2 + 2 + 5 + 10*g - g**2 + 0*g**2. Give a(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-5\/3))**(-34)*(m**2)**(-16) assuming m is positive.\nAnswer: m**(-368\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(72) + (sqrt(72) - (sqrt(72) - ((sqrt(72) + sqrt(72) + -1)**2 + 5))).\nAnswer: -18*sqrt(2) + 294","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 633.72477 hours to weeks.\nAnswer: 3.77217125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -6658, -13417, -20176, -26935, -33694?\n\"Answer: -6759*q + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4332067 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27526717\/840 - -32770. Calculate the common denominator of -59\/126 and i.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 239 or 4321\/18?\nAnswer: 4321\/18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 6*q - 2. Let l be k(2). Let g be (l*-15)\/(9\/(-15060)). What is g rounded to the nearest 10000?\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -5*k - 2*b + 8887, -5*k - 5*b = -8895. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 + 19*n + 5. Let v be h(19). Suppose 32 = v*a + 7. What is the greatest common factor of 20 and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 2\/19 (c) -5 (d) 19.44 (e) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3363)\/118 - -28)*12\/87.\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5 + -3)\/(1\/2). Suppose j*f = 2*f. Let x = 4 - f. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -38, 46, 2, 1 in decreasing order.\nAnswer: 46, 5, 2, 1, 0, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4226.\nAnswer: 2, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or -62\/13?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 153 and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 2 n when four letters picked without replacement from hnmnzunnzuhh.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 AM and 7:48 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 8, d: 7, r: 2, y: 1}. What is prob of sequence dy?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**2 - 4*t = 0 for t.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(32) + -3 + -1)*-2 + -3)**2*-5.\nAnswer: -765 + 400*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -367 + c**3 + 367.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157*a + 296*a - 29*a + 11492 = -18*a for a.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5752926.\nAnswer: 2, 3, 319607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 134 - 668\/5. Let 0 - 2\/5*t**3 + 0*t - h*t**2 = 0. What is t?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + 4\/(-5)*-5. Suppose o - 9*y + 12*y - 22 = 0, -8 = -4*y. Calculate the highest common factor of o and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 527.1\nAnswer: 528.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 3 = g. Let r be g\/2 + (-345)\/(-6). Suppose -5*h + 0*h = -3*c - 87, 3*h - r = -4*c. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -4*k. Let x be o(1). Let d = -1 - x. What is the third derivative of -d*m**6 + 4*m**2 - 2*m**2 - 5*m**2 wrt m?\nAnswer: -360*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tra when three letters picked without replacement from {a: 5, r: 4, t: 4, h: 2}.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-85)\/(-340))\/(1\/4 + 0). Let m(s) = s. Let i(p) = 6*p - 1. What is a*i(h) - 4*m(h)?\nAnswer: 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 5*r. Let u be t(-1). Let l be u\/(-2) + (-2)\/(-4). Suppose -g - l*c + 22 = g, 3*c + 3 = 3*g. Solve 4 = w + g for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5202 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 57817 = -5*f, f + 3200 = l - 11255. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6566535 and 54483.\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48852*w + 5705*w**2 - 48852*w.\nAnswer: 5705*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of 0*r - 1\/6*r**3 + 1\/60*r**5 - 1\/12*r**4 - r**2 + 0. Let s be d(-1). Solve n + s = 3*t, -t = -4*n + 1 - 9 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13574936?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -4*w + 4, 1 = -w - 1. Suppose 2*y + 4 = 2. Sort y, g, 0 in decreasing order.\nAnswer: g, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 178 - 174. What is the first derivative of -83 - 17 - 13*m**4 - 35*m**b wrt m?\nAnswer: -192*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {s: 3, c: 8, k: 2, q: 3}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i - 6. Suppose 4*c = -16 - 12. Let j = c + 22. Let s = j + -9. Determine a(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n + 5. Let l be h(6). Let t = -4 - l. Suppose -t*j + 145 = 2*j. Calculate the remainder when j is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 2:26 PM?\nAnswer: 5:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5 - ((-40226)\/6 - 12\/18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 + h**2 - 3*h - 6. Let y(j) = 3*j**2 - 9*j + 3. Give -2*d(m) + y(m).\nAnswer: -2*m**3 + m**2 - 3*m + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b + 7. Calculate n(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 39 = -p - 49. Put p, -4, 32, 3 in decreasing order.\nAnswer: 32, p, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*j - 287 + 251 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3\/5 (b) 2\/11 (c) -0.4 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 678?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-110)\/(-140)*65 + 13\/(-182) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 + 43*y + 397. Determine a(-13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17.103 + 18.103. Let c be (4\/10)\/((-19)\/5). What is the nearest to d in c, 0.1, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 5035401*b**3 + 4114473*b**3 + 1166658*b**3.\nAnswer: 10316532*b**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 200 = 50. Let j be (-3)\/(-5) - (-6)\/m. Factor 4\/5 - j*n - 2\/5*n**2.\nAnswer: -2*(n - 1)*(n + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/(-12) - 1*134\/(-6). What is the greatest common factor of t and 391?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of 1\/9*r**3 + 1\/3*r**4 - 1\/3*r - 3 - 2\/3*r**2. Factor m(g).\nAnswer: (g - 1)*(g + 1)*(4*g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 53, 0, -2\/3, -5 in ascending order.\nAnswer: -5, -2\/3, 0, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 <= 29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*l + 26*l + 24*l - 42*l + 1653 = 0 for l.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 152480401 to the power of 1\/2, to the nearest integer?\nAnswer: 12348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**2 + 90 - 90 + 14*w)*(-568*w - 1 + 2302*w - 880*w) + 0*w**3 - w**3 + 0*w**3 + w**3 + w - w + (-3 + 3 - 2)*(w**3 + 0*w**3 + w**3).\nAnswer: -1712*w**3 + 11958*w**2 - 14*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3431 divided by 24047?\nAnswer: -3431\/24047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -122 * -197\nAnswer: 24034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1396322 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 684 is divided by 78.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/232 and -77\/58.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02906 rounded to three decimal places?\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 12314 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -29, -14, 0.265, 4, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 73.995 - 74. Round n to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 51.744 to the nearest integer.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = n - 6*j + 3, -5*j + 25 = 0. Let w be (n - 4)\/(-1) + 3. Suppose -w = 2*a - 19. Calculate the lowest common multiple of a and 11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 45 + -43. Suppose 2*a + 2*r = -m*a + 4, -10 = -2*a + r. Suppose 0 = 3*h + 2*d + 5, -6*d = -a*h - 3*d. Which is smaller: h or 11?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -5*l + 11*l, w - 18 = 5*l. Solve 3*r = 5*m + 10, -28*r = w*m - 31*r + 6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*i - 2772 = -22*i. Let d = 400 + i. Suppose 3*m - g = 54, -m + 2*g = g - 20. Solve 2*p - 2*n + 10 = 0, n - m = p - d*n for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 552 + -528.1. Let p = x + -24. Let z be 2\/(12\/78*1). Which is greater: p or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101 is divided by 23.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33317 - -806. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 54 and 105 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -840*w = -418*w - 419*w - 4*h - 4, -6*h + 8 = -w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 17*n - 50 = -20*n, -o + 4*n + 25 = 0. What is the fourth biggest value in o, -0.5, -3, 0.8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 173.5 + -171.5. Put y, 1382, 0.4 in decreasing order.\nAnswer: 1382, y, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 PM and 11:23 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + -12213430313?\nAnswer: -12213430310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 403703156?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 1:30 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -53260\/2319 or -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = -5*d - 226, -2910 = 16*d - 4*h - 2194 for d.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2161007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 8*t - 16. Let m(o) = -20*o**2 + 987*o. Determine m(r(v)).\nAnswer: -1280*v**2 + 13016*v - 20912","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-2 - (2 + -2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 113505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 78987120 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.3 + -0.3. Let f = -7993 - -7995. Which is the second biggest value? (a) f (b) -3 (c) -4 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 76 + -111. Let s = 38 + n. Which is the nearest to -0.1? (a) -5 (b) s (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 12591*c. Let b(v) = 8931*v. Give b(p(n)).\nAnswer: 112450221*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(108) - (sqrt(108) + -1)**2) - (sqrt(108)*-2 + -4 + sqrt(108)).\nAnswer: -323 + 60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*p + 23*p = -78 + 2 for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 1:42 AM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4384 a factor of 16899908?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -0.01, -5, -3, 42, 0.004?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -14 - 30. Calculate the remainder when 41 is divided by w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/5 - (-8)\/10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12008989*x**4\/4 - 492263667*x**3\/4 - 6726170367*x**2\/4 - 30634915689*x\/4.\nAnswer: -x*(229*x + 3129)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/(36\/328) + 6\/9 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 59744*f**2 - 79652*f wrt f?\nAnswer: 119488","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v**2 - 14*v**2 + 199726*v**3 + 98939*v**3 + 10*v**2.\nAnswer: 298665*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14 - 698\/56 - 10\/8. Let u = -69 + 69. What is the closest to c in -0.04, u, -2\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 237.7 + -35.7. Let m = b + -200. Let g be 72\/(-20) - (-2)\/(-5). What is the closest to -1\/2 in -1, m, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*v**2 - 11 + 0 + 10 to the form f*v**2 + o*v + x and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of -j**4\/12 - 2*j**2 + 9. Let f(t) be the second derivative of s(t). Let k(h) = 3*h. Calculate f(k(g)).\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -3*q**3\/8 + 5649*q**2\/8 - 305136*q - 52367499\/2 = 0.\nAnswer: -73, 978","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -133305241, -266610484, -399915727, -533220970, -666526213, -799831456?\n\"Answer: -133305243*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 511 and 6935.\nAnswer: 48545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**7\/((g\/(g\/((g*g*g**(1\/3))\/g*g)))\/g)*(g\/(g*g**(-7)))**(2\/123) assuming g is positive.\nAnswer: g**(237\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s\/(s\/s**(7\/3)))*s\/(s*s**4\/s)*(s*s\/(s*s\/s**5))\/(s**(-2\/19)*s) assuming s is positive.\nAnswer: s**(-13\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(833) + 4))**2 - (sqrt(2057) - (4 + sqrt(2057) + sqrt(2057) + 0 - sqrt(2057)))**2.\nAnswer: 224*sqrt(17) + 3380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*d - 17. Suppose -3*b = t + t + 25, 0 = 4*t + d*b + 40. Calculate the smallest common multiple of (-5 - t) + 2 - -12 and 18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 - -20. Let k be (38\/6)\/(2\/t). Suppose -q - k = -69. What is the highest common factor of q and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*l - 3*l + 3*l)*(3 + 3 - 3) - l - 3*l + 7*l + (-2 + 2 - 2*l)*(4 + 1 - 4).\nAnswer: 19*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/6024 and 137\/409632.\nAnswer: 409632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 AM and 2:31 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 - 2*x - 3. Let l be m(-2). Suppose 2*d - l*d = 9. Sort 0, d, 1 in descending order.\nAnswer: 1, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 3*q**2 + 232*q + 139. What is the smallest common multiple of l(-78) and 5?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 864 = t - g, -4*t - t - 2*g + 4313 = 0. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(128\/(-12)))\/(-18*7\/224).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15781 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/14*-6 - ((-122)\/10 + -2 + 2)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three fifths of a kilometer in meters?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 AM and 2:51 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lhnh when four letters picked without replacement from mnlbihn?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28 + 34)*((-1)\/(-4))\/(5\/(-14))?\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**3 + 0*j**3 + 3*j**4)*(3344 - 4345 - 9251).\nAnswer: -30756*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yvzzvzzvyzzzvzvy. Give prob of picking 1 y, 2 z, and 1 v.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -3*s**3 - 5*s**2 - 8*s - 3. Let c be f(-5). Suppose 4*a + h - 290 = -h, -4*a - 3*h = -c. What is the remainder when a is divided by 51?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2*i**2. Let w(b) be the second derivative of -8593*b**4\/12 - 2*b + 1377. Give j(w(g)).\nAnswer: -147679298*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -100 - -204. Suppose 3*y - 7*y + 28 = 0. Suppose 0 = -z + i - y. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 divided by -68.\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 12147042 divided by 95646?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 251, 773, 1753, 3347?\nAnswer: 5711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 1\/4150, 1\/6, 0.7?\nAnswer: 1\/4150","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of s**5\/60 + s**4\/12 - 5*s**3\/6 + 10*s**2. Let k(y) = -y - 5. Let a be k(-5). Suppose -v - v - 10 = a. Give f(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -94 - -114. Let v = 18 - n. List the prime factors of 86 - v - 3\/(-3).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 60618 + -19708. What is the thousands digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3+-42.646867607\nAnswer: -42.346867607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in 0.1, -8, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3*r + 4*c - 62 = 0, r - 4*c + 23 = 0. Let n = r + 94. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -13393, -26745, -40105, -53479, -66873?\n\"Answer: -v**3 + 2*v**2 - 13351*v - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 49\/5 of a kilogram?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 5*t - 8. Let a(p) = 4*p - 9. Calculate 4*a(u) - 3*d(u).\nAnswer: u - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -25*k**3 + 41*k**2 + 58*k + 163. Is v(-15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2169582?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2034 (base 8) to base 16.\nAnswer: -41c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -333.70388 + 471.70755. Let t = o - 138. What is t rounded to four decimal places?\nAnswer: 0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 2*z + 9*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 646838?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*u + 54*u = 125*u + 924 for u.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 180 and 4699980.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 2403*g + 15 = 2401*g, -4*o = -g + 15 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 0 + 4 + y**2 - 4. Let z(w) be the third derivative of 1\/6*w**5 + 0*w**4 + 0*w - w**2 + 0 + 0*w**3. Determine z(l(k)).\nAnswer: 10*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - d**2 + d + 40. Let c be f(0). Suppose -g = -18 - c. What is the greatest common factor of 29 and g?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -115, -206, -297?\nAnswer: -388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102981807*t**2 - 7*t**3 - 205963606*t**2 + 21 + 102981799*t**2 - 21.\nAnswer: -7*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*m**2 - m**4 - m**3 + 37*m**2 - 2*m**4 + m**3 + 4 to the form j*m**2 + s + q*m**3 + z*m + x*m**4 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 54 + -26. What is the remainder when 82 is divided by p?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/o**(-20)*o\/(o*o*o**(4\/9)) assuming o is positive.\nAnswer: o**(176\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1881aa + -38?\nAnswer: -188226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45406)\/2799*(-9)\/2?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3217\/2 - 1608. Let q = -0.3 - -2.3. What is the closest to 0.3 in q, w, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2011010 is divided by 3079?\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*v + 20 = -71*v. Suppose -14 + 18 = v*o. Suppose 4 + o = s. Let k(g) = g**3 - 5*g**2 - 4. Determine k(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 + 4*u + 10*u**2 - 2*u**2 + u - 7. Is z(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 119, 233, 347, 461, 575, 689?\nAnswer: 803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhxvsdvvvvvvxvvhvv. Give prob of picking 3 h.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.15 + 0.85. Let a = 1.2 + -1.3. Is s greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 - -0.426\nAnswer: 0.826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -714*j = -708*j - 18 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, h: 2, b: 5, t: 2, e: 4}. Give prob of picking 1 v, 1 e, 1 t, and 1 b.\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -167268554 divided by -3\nAnswer: 167268554\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11 - 6061415?\nAnswer: -6061426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -37 - -33. Let v be (-1)\/(4\/(-10)) + c\/(-8). Solve -2*z = 2*n + 6, v*n - 14 - 1 = 5*z for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*k + 16*k - 6*k.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of r**5\/30 - r**3\/3 + 2*r**2\/3 + 4*r. Let w(y) = 0. What is y?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 + -78. Let i = t + -35. Let c = -82 - i. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q + 10*q = -4*b - 16, 69*q + 15*q + 651 = 15*q + 6*b for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(220) + sqrt(220)*-5)*2)\/sqrt(4)*6)\/(-1*(sqrt(176) - (sqrt(176) - -6*((sqrt(176) - (sqrt(176) - sqrt(176)*-2)) + sqrt(176))))).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k + 1. Let l be y(-6). Let z be (27\/l)\/(-1*2\/90). Factor z*s**3 + 43904*s - 19*s**3 - 4*s**4 - 3000*s**2 - 153664 - 1704*s**2.\nAnswer: -4*(s - 14)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 + 5*b**2 + 8*b + 5. Let n be z(6). Let a be 9\/12*-2*-18. Let d = a + -27. What is the third smallest value in d, n, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 325*v**3 + 26*v**2 + 64*v + 34. Determine t(-2).\nAnswer: -2590","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1047 - -1049. Let h(a) = 226*a**3 - a**2 + 4*a + 2. What is the tens digit of h(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -53*v**2 - 8701*v - 1247262.\nAnswer: -106*v - 8701","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 6, -22, 11 in decreasing order.\nAnswer: 11, 6, 2, 1, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 - 4*v**2 + 11*v + 43. What is d(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-20546)\/6)\/((54\/3)\/(-54)).\nAnswer: 10273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 513.\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 267*r - 308. Is h(10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + -4 + 2 - -10. Suppose 4*n - 2*n + t = 0. Let m(w) = w**3 + 4*w**2 - w + 2. What is the units digit of m(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15101059?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 990 + -978. Solve 0 = -o*q + 13 - 49 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6.64 and -0.4.\nAnswer: 2.656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 9. Let q be ((-1)\/w)\/((-1)\/(-20)). Suppose -q*s + 53 = -32. What is the remainder when 66 is divided by s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18804090 and 10860.\nAnswer: 37608180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 916655 or 916658?\nAnswer: 916655","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3242 to the power of 1\/2, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 1143535680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2 + 2 = 0. Let j be l\/3 - (-16)\/24. Is 2\/3 < j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u**(7\/4)*u))**(-4\/5))**(3\/19) assuming u is positive.\nAnswer: u**(33\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 32884633 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 AM and 7:40 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -234241010?\nAnswer: 234241000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-8))\/(11\/1892).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 886097 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of u**4\/6 - u. Let z(s) = s**2 + 11*s + 36. Let l be z(-7). Let q(y) = -l*y**2 - 7*y**2 + y**2 - 2*y**2. What is i(q(c))?\nAnswer: 512*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 430.\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of o**5\/140 - 13*o**4\/56 - 24*o**3\/7 - 2835*o**2. Let c(i) = 0. What is i?\nAnswer: -3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111589 <= 111589?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-8)\/(-16)*0)\/(-3). Let i(f) be the second derivative of 0*f**2 + 0 - 1\/10*f**5 + 0*f**6 - 2*f + 1\/42*f**7 + 1\/6*f**3 + u*f**4. Factor i(w).\nAnswer: w*(w - 1)**2*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17445 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 2*c + 4 = -9*t, -2*c = -3*t + 4. Solve -4*m - 8 = i, t*m + 4*i - 2 = m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 5*r = -359, -6*r - 5 = -r. What is the highest common factor of k and 295?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/4435520 and 85\/443552.\nAnswer: 4435520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1613688 is divided by 53.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -47 - -67. Is 10 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11608 divided by -636?\nAnswer: -2902\/159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -20\/231 and 67\/168.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -210 - -211.91. Let z = b + 0.09. What is the closest to z in 4, 2, -2\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**4\/17 - 8*y**3\/17 - 10*y**2\/17 - 4*y\/17 = 0 for y.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*d + 6 = -55*d. Suppose -k + d*k + 10 = 2*w, k = -2*w + 22. Is 3 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5 - 3) + (1 - 1). Suppose 0 = 3*a, 0 = 4*p + m*a - 3*a - 32. Let f = p - -1. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2719299 is divided by 193.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 655332.5km?\nAnswer: 655332500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -6*1\/(-14) + (-474)\/(-21). Suppose k*c + 169 = 36*c. What is the greatest common factor of 299 and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*1273098.\nAnswer: -2546196","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 934909933.\nAnswer: 499, 1873567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k - 8*k - 25 = 0. Let m be (-5)\/(-3)*90\/k. Let p(y) be the second derivative of -y**4\/12 + y**3 - y**2\/2 - 42*y. What is p(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 5:10 PM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3032 + -6912. Let z = f + 69745\/18. Let v = 20400 - 571127\/28. Calculate the common denominator of v and z.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 - 6*m**2 + 3*m + m**3 - m**3 - 2. Suppose 0 = -r + 1 + 5. Is n(r) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170801 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -7*y**2 - 2*y + 112. Calculate g(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = -9*v + 793. Calculate the remainder when 179 is divided by (-6)\/(-33) - (-2296)\/v.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 3*i - 7 - 8 = 0, -9 = -4*n - 3*i. Solve -n*c + 14 = -1 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28196)\/30210)\/(14\/(-120))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -18\/437 and 54\/11.\nAnswer: 4807","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*b - b. Let y = b + -7. Is y smaller than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1 - 3.7. Let s = 2.8 + c. Let n = -1.1 - s. What is the closest to n in -2, -2\/9, 4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13345604761 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 14 - -191277131\nAnswer: 191277145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 - 0.1. Let j be (((-18)\/10)\/3)\/((-16)\/160). Suppose -41 = -6*m + m + 4*u, -4*u = 2*m + j. What is the smallest value in -1, m, w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f**4 - 2*f**5 + 0*f**4 - 2*f**5 + 3*f**5 + f**5 + (-2*f**2 + f**4 + 2*f**2)*(4*f - 2*f - 3*f) + 16*f**5 + 1015 - 1017 + 2*f**5.\nAnswer: 17*f**5 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 12\/517?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 35.6 - 35.7. Let o = 1.0266 + -0.0266. What is the nearest to s in o, -5, 25, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 957 = l - 566, -5*u + 4569 = 3*l. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-1456)\/312)\/(4\/(-90) + 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*(i**(-2\/21)*i)\/i*i)\/((i*i*i**(1\/2))\/i))\/((i\/(i*i*(i*(i\/i**(-1))\/i)\/i))\/(i*i**(-2\/13)*i)))**(2\/87) assuming i is positive.\nAnswer: i**(2321\/23751)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of o**7\/252 - o**5\/20 + 3*o**4\/8 - o**2. Let n(x) be the second derivative of a(x). What is the first derivative of n(d) wrt d?\nAnswer: 20*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/3 - -5\/6. Let s = 9 + -8. What is the nearest to s in 4, t, -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 * 62.\nAnswer: -496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3476182017 to the nearest integer?\nAnswer: 1515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1744?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 556, 574, 608, 664, 748, 866, 1024, 1228?\nAnswer: 1484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 12:02 AM?\nAnswer: 1:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 5*d**2 + 9*d - 10. Let l(i) = 6*i**2 + 10*i - 11. Let y(t) = 6*l(t) - 7*q(t). Let p be y(3). Solve -m + 17 = -3*k, 0*k + k - p*m = -24 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (44 + 7 - -2) + 12. Solve k = -66 + t for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 32 + -6*2\/4. Suppose 4 = 5*d + g. Which is the closest to 0.2? (a) d (b) -1\/2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 284246?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2737455\/4 or -684363?\nAnswer: -684363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 16 = -2*a. Let i(p) be the first derivative of 4*p**4 + 10 - a*p**2 - 266*p + 266*p. What is the second derivative of i(k) wrt k?\nAnswer: 96*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58 = -8*s - 225 + 79 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -550023150 to the nearest one million.\nAnswer: -550000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3973*t**2 + t**3 + 3768*t**2 - 8392*t**2 + (0*t**3 - 2*t**3 + t**3)*(0 - 2 + 4).\nAnswer: -t**3 - 651*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l**2 - 22*l - 7*l + 29*l.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 314985?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4080 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: b\"What is the pth term of -2544, -20424, -68954, -163458, -319260, -551684, -876054, -1307694?\n\"Answer: -2554*p**3 - p**2 + p + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2556216 divided by -128?\nAnswer: 319527\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -65*z**2 + 29*z + 16. What is h(-2)?\nAnswer: -302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of -59*c**6 + 581*c**3\/3 + 93. What is the third derivative of y(d) wrt d?\nAnswer: -21240*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -29*d - 200. Let k be v(-7). Solve k*l = -0 - 3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8.06 + -8. Which is the closest to 2\/3? (a) 0.4 (b) y (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-100)\/(-400))\/((-3)\/8).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((-2*sqrt(170)*-5 - (sqrt(170) + -4*(sqrt(170) - sqrt(170)*2) + sqrt(170)))*1)\/((-2*sqrt(80)*-6)\/(sqrt(360)\/sqrt(5))).\nAnswer: -3 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 6*r + 3649. Let c(i) = -2*i - 1210. Calculate -7*c(z) - 2*h(z).\nAnswer: 2*z + 1172","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16*v + 14*v + 12*v)*(-1 + 4 + 1)*(-2*v**2 + 63*v**2 + 42*v**2) to f + u*v + n*v**3 + j*v**2 and give n.\nAnswer: 17304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-20)\/(-15)*(-33)\/10. Which is bigger: j or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 631004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((3 + sqrt(88)\/sqrt(8))*5*6)**2 + 5) + -3.\nAnswer: 32400*sqrt(11) + 108027","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - 6*l**2 - 6*l - 7. Let r be j(-5). Let z(d) = d**2 - 14*d + 29. Let v be z(12). Sort v, 2, r in decreasing order.\nAnswer: v, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40 + 58 - 11*h + h - 18.\nAnswer: -10*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3340?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -169 + (3\/21)\/((-2)\/(-14)). Let c = 171 + y. Solve 2*i = 3*x + 5, -c + 5 = 2*x - 4*i for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 AM and 6:13 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -76 + 119. Suppose -124 = -4*k + 72. What is the second derivative of -k*s**5 + 4*s - 7*s + a*s**5 wrt s?\nAnswer: -120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 3 = -3*u + 7, 4*u - 6 = -d for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -4224*z - 13494. Calculate r(-3).\nAnswer: -822","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 4*r - 714 = 1302, -2*r - 1508 = -3*l. Is l a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-29) - (-240)\/(-116). Is 2.04 less than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of -4*x**2 + 0*x - 1\/4*x**4 + 0 - 5\/6*x**3. Let h(c) = -2*c - 2. Suppose g - 2*g - 3 = 0. What is g*t(o) + 8*h(o)?\nAnswer: 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 432, 863, 1292, 1719, 2144, 2567?\nAnswer: 2988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvvvwwwvvww. Give prob of picking 3 w.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 494231869?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1292 + 0.1752. Put t, -0.5, -4 in increasing order.\nAnswer: -4, -0.5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of -z**7\/4200 + z**6\/900 + 5*z**3\/3 + z**2. Let v(j) be the first derivative of p(j). Factor v(b).\nAnswer: -b**2*(b - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 544 and 4913?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.87 less than -168732601295?\nAnswer: -168732601290.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 657, 772, 59, -1896, -5507, -11188, -19353?\nAnswer: -30416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37495914?\nAnswer: 2, 3, 17, 43, 83, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -4*l - 2*s - 0*s, -3*s = -3*l + 6 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9200980 to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 - 6*r - 12. Give c(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.11 * 12.17766.\nAnswer: -1.3395426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 5.932. Let t = 123.932 + s. Let q = -124.118 + t. Round q to 2 dps.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5904 or 5893?\nAnswer: 5893","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*q - 59*q - 36*q - 32*q.\nAnswer: -168*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2441, -4880, -7321, -9764, -12209, -14656, -17105?\n\"Answer: -u**2 - 2436*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 180\/75 - (-2)\/(-5). Let z = 204 - 75. Let v(y) = 129*y - z*y + y**n. Let t(r) = 16*r. What is v(t(i))?\nAnswer: 256*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together 521 and 17701.15172.\nAnswer: 18222.15172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 126162833461 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 + 88 - 39*r - 26 + 27*r - 33.\nAnswer: -12*r + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4286, 3300, 1664, -616, -3534, -7084?\nAnswer: -11260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/399135 and -31\/38940.\nAnswer: 1596540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n**2 + 64*n**2 - 617 - 4*n**2 + n**2 - 61*n**2.\nAnswer: -n**2 - 617","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o**2 - 1048*o + 133613. What is c(219)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2936203.\nAnswer: 19, 23, 6719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2\/3))**(-7\/6))**(-2\/27)*(s**(1\/6)\/(s\/(s*s**8*s)))\/(s**(-1\/3)\/s)**30 assuming s is positive.\nAnswer: s**(23867\/486)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 3*b - 15. Let r be b - (0 + 11\/(-1)). Solve -2*u + 0*u + 5*c = r, -2*u = 3*c - 18 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + n**2 + 1. Let x be (-2 + 3)\/(-1 + 0). Let c(m) = 46 + 37 - 85 - 4*m - 2*m**2 + 5*m**3. Let h(u) = x*c(u) - 6*z(u). Calculate h(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -7. Let o be 172\/12 - (-2)\/q. Let h = 25 - o. Is 5 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 57+-3298301.20051\nAnswer: -3298244.20051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5236 + -468. Let x = a + 142568\/25. Calculate the common denominator of -53\/25 and x.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.4 + -0.8. Let y = 69 - 68. What is the nearest to y in p, 0.3, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that j**3\/2 - 959579*j**2\/2 + 1919155*j\/2 - 959577\/2 = 0.\nAnswer: 1, 959577","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -33*c - 11. Let q(n) be the first derivative of -4\/5*n**5 + c*n + 4 + 5\/3*n**3 + 0*n**4 + 0*n**2. Find the third derivative of q(d) wrt d.\nAnswer: -96*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/11 - (-1060)\/22. Suppose -r = -3*w + 5*w - 99, r + i = w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*s - 133210 = -380993. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140648093 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 - 31*v - 309. Let x be z(39). Solve 0 = -x*b - 10*b + 52 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 292*k - 991 = -2451 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(0 + sqrt(1377)) - (sqrt(1377) + (4 + 1*sqrt(1377) - sqrt(1377))))**2 - (3 + (sqrt(1700) - (2 + sqrt(1700))) + 4*(sqrt(1700) + -1 - sqrt(1700)))**2.\nAnswer: -72*sqrt(17) + 1384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((3 + (sqrt(396) + 1 + sqrt(396) - sqrt(396)) - (sqrt(396)*2 + 3)) + 3)**2 + (4*sqrt(396)*1 + (1 + sqrt(396) + -1 - sqrt(396))**2)*-3.\nAnswer: -120*sqrt(11) + 417","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -644\/435 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(34)\/(sqrt(4)\/sqrt(2)) + sqrt(17) + sqrt(17) + sqrt(17) + 1*sqrt(17) + 5)*-3)**2.\nAnswer: 450*sqrt(17) + 4050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -13*q. Let l(w) = 1. Determine d(p) + 2*l(p).\nAnswer: -13*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -4*u**2 - 5*u - 20. Determine a(6).\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + 7d971?\nAnswer: 7d96c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 5 + u - 14 - 2 + 12. Determine x(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 7:44 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 341, 652, 963, 1274, 1585?\nAnswer: 1896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 2 u, and 1 f when four letters picked without replacement from ufrlurlrpptrurp.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (98076321\/(-198))\/((-8)\/58). Let k = 3591124 - g. Let i = k - -407\/8. Calculate the common denominator of -54\/11 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 66311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 20*m**3 - 2*m**2 - 3*m - 2. Let t be z(-1). Let u(k) = -9*k - 156. Calculate the smallest common multiple of 1\/((-1)\/(-2)) + 19 and u(t).\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3 - 214518*f**2 + 858060*f - 858056.\nAnswer: (f - 214514)*(f - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 201 is divided by 52?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/1243 - 1239\/2486. Which is the closest to 0.1? (a) -354 (b) u (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 + 2*m - 737. Let t be u(26). Sort -5, t, 5, 6, -4 in decreasing order.\nAnswer: 6, 5, -4, -5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b**4\/4 + 9*b**3\/2 - 9*b**2 + 6*b = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44)\/(-198)*(2\/(-1))\/6.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30230 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -2.2.\nAnswer: 6.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 898*i - 18930 = 893*i - 4*o, 2*i = o + 7559. List the prime factors of i.\nAnswer: 2, 31, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6587, -6591, -6595, -6599?\n\"Answer: -4*v - 6583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**5\/7 - 864*l**4\/7 + 47508*l**3\/7 - 91592*l**2\/7.\nAnswer: 4*l**2*(l - 107)**2*(l - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -28287.14 rounded to the nearest 10?\nAnswer: -28290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.2, 1, -3\/7 in ascending order.\nAnswer: -3\/7, -0.2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 14138081273 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eplephhhhzhelhe. Give prob of sequence llh.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 586 + 116 = 39*r. What is the remainder when 286 is divided by r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30.65382 - -0.01382. What is k rounded to the nearest integer?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 7*s**4 + 15*s**3 - 13*s**2 - 37*s + 30. Let h(z) = z**4 + z**2 - z. Let u = -20 + 18. Let j(n) = u*h(n) + w(n). Factor j(d).\nAnswer: 5*(d - 1)**2*(d + 2)*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318679 to the power of 1\/3, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z - 7. Let b be j(-5). Suppose -g - 6 = 3*i + 4, -4*i - 8 = 0. Let r = 6 + g. Which is smaller: b or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25523 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 9.453744 micrometers?\nAnswer: 9453.744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 360 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 220690 by 2.\nAnswer: 110345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/29? (a) -295 (b) 1 (c) -5 (d) -7\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*z**2 - 24*z + 3 wrt z?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (51 - 7526\/159) + 1917\/(-81).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**5\/15 + 976*s**4\/15 + 23002*s**3\/3 - 202972*s**2\/3 - 3835072*s\/15 - 2706176\/15 = 0. Calculate s.\nAnswer: -248, -2, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*a - 6*a - 21*a)*(-a**2 + a**2 - a**2) - 9*a**3 - 6*a**3 + 4*a**3.\nAnswer: 9*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*z - 25 = 49. Solve -5 - 5 = 5*x - z*v, 0 = 5*v for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29 + 37 - 75 + 30)*(x**5 + 2*x**5 - 5*x**5).\nAnswer: -42*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3626.105 * -0.6\nAnswer: 2175.663","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1508928 is divided by 336?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -107*h - 107*h - 12 + 19 + 189*h + 8 as f*h + u and give f.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of 0*w**2 + 2\/3*w**3 + 2 - 2*w. Factor n(m).\nAnswer: 2*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 569107 to the power of 1\/4, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 536 + -536.5. Which is the second biggest value? (a) 5 (b) 2 (c) f (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2026673 and 969.\nAnswer: 103360323","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 + 15*q**2 - 16*q + 4. Let r be m(-16). Solve 11*a - 12*a = -r for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 PM and 3:49 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 11.77564 hours?\nAnswer: 42392304000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -10.8 + 2.8. Let h = 7 + g. Which is the smallest value? (a) -5 (b) h (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(-1)\/42 - (-55 + (-918771)\/(-16758))?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -210119, -420229, -630337, -840443, -1050547?\nAnswer: -1260649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 6.91. Let z = 70 - 69.59. Let q = f + z. Which is the second biggest value? (a) -0.2 (b) -3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -1. Let n(q) = 3*q**2 - q**2 - q**2 - z*q**2. Let j(v) = v**2. Determine n(j(p)).\nAnswer: -p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 71*k - 23. Let c(x) = 6*x. Determine c(u(s)).\nAnswer: 426*s - 138","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62, -52, -28, 16, 86?\nAnswer: 188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that l**5 + 83*l**4 + 2398*l**3 + 28826*l**2 + 146785*l + 264275 = 0.\nAnswer: -31, -11, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/24 - 3) + (-3)\/(-24). Let v(f) = -426*f - 2. Let y be v(p). Suppose -4*m - 59992 = 5*z, z = m - 13278 + y. Round z to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 5*n = 125, 4*n = 16365*j - 16367*j + 60 for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 8) to base 11\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 4*q**3 + 1153052*q**2 + 32282204*q - 33435260 = 0.\nAnswer: -288235, -29, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 557 - 439. Suppose 121*g - f*g - 15 = 0. Solve 0 = -z + g for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -3*w**2 + 4*w - 5. Let v be s(3). Let x be 2\/v - (-18)\/30. Factor -1\/2*h + x*h**3 + 1\/2*h**2 - 1\/2.\nAnswer: (h - 1)*(h + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.08199735 + -0.082. Round i to seven dps.\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -125742 divided by 41914\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 + 7. Calculate the common denominator of ((-297)\/24)\/(-3) + -1 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 AM and 7:09 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 20862 to the power of 1\/2, to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*(4\/(-136))\/((-94)\/799)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 66393 divided by 27\nAnswer: 2459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(5\/4)\/y)**9*y\/(y\/y**(7\/4)*y)*y**(2\/45) assuming y is positive.\nAnswer: y**(137\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2020?\nAnswer: 2, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8 + -11?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120818*c**3 - 244171*c**3 + 122162*c**3.\nAnswer: -1191*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 42974 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*j**2 - j**4 + 5*j**2 + (-100 - 9*j**2 + 189 - 2*j - 92)*(0*j**2 - 2*j**2 + 4*j**2).\nAnswer: -19*j**4 - 4*j**3 - 6*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2205468*t**2 + 1102734*t**2 + 1102736*t**2.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -695*p**3 + 116*p**3 - 654*p**3.\nAnswer: -1233*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -23, -45, -89, -161, -267, -413, -605?\nAnswer: -849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18\/65 - -536\/2405. Let k = 5\/777 + n. Are k and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -372*t**2 + 6*t**3 - 2960*t + 394*t**2 - 298*t - 5*t**3 wrt t.\nAnswer: 6*t + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, y: 11}. What is prob of sequence yx?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/105430 and 157\/780.\nAnswer: 632580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1835316 and 24776766.\nAnswer: 49553532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3340630343.\nAnswer: 359, 853, 10909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24531429 is divided by 80?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -8*j - 3. Let u(d) = 7*d + 2. Let k(i) = 7*u(i) + 6*v(i). Let o be k(7). Solve 2*s = -o*s - 25 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16488 and 144.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -16779000 to the nearest 100000.\nAnswer: -16800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50*-10.\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 5*c = 40. Let y be 25 - 4\/(4 + c). Suppose 4*h - 8 = 0, -y + 0 = -n + h. Does 14 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + 2 - -1 - 23?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 >= -30\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3157.5 - 2203. Round r to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of o**6\/120 + o**5\/16 + 7*o**4\/48 + o**3\/8 - 201*o. Determine r so that y(r) = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-66)\/624 - (-15)\/65) + (-220)\/(-32). Let r(k) = 9*k**3 - 23*k. Let a(u) = 5*u**3 - 11*u. Calculate t*a(i) - 4*r(i).\nAnswer: -i**3 + 15*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18877, 17234, 12767, 4060, -10303, -31738, -61661, -101488?\nAnswer: -152635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-7\/5)\/n*n\/(n\/(n*n*(n\/n**(-22))\/n)))**(18\/11) assuming n is positive.\nAnswer: n**(1944\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 470828 and 27076.\nAnswer: 497904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 PM and 5:25 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, f: 8, u: 2}. Give prob of picking 2 u.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -24. Solve -3*k + 8 = -k, 0 = -l - 5*k + a for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 3:34 AM?\nAnswer: 8:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -130, -125, -116, -103, -86, -65, -40?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4261400 rounded to the nearest 10000?\nAnswer: -4260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 283 - 577\/2. Let p = -0.085 - 29.115. Let t = 29 + p. Sort w, t, 0 in ascending order.\nAnswer: w, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(3\/7)*v*v*(v\/(v*v*(v**(1\/9)*v)\/v))\/v*v)\/(v**(-2\/7)*v*v**(-18)*v) assuming v is positive.\nAnswer: v**(1109\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7579 - 4588. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30546851243 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84.705 months to decades.\nAnswer: 0.705875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 47*h - 314*h + 42*h - 61*h in the form j*h + d and give j.\nAnswer: -286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c - 56 = -15*c. Suppose -c = 5*p - 12*p. Suppose a - 2*a = -p. Solve -b + 3*b + w - 1 = 0, a*b + 19 = -5*w for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.22, -0.052, 0.2, 37, 1.4, 4 in descending order.\nAnswer: 37, 4, 1.4, 0.2, -0.052, -0.22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a microgram in nanograms?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*q, 3*q + 0 = 5*o - 1. Let t(k) = -o*k + 8172 - 8172. Let g(n) = -40*n**2. Determine t(g(f)).\nAnswer: 80*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -924.8 to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 - 1)*(9*p**3 - 28*p + 28*p)*(-2 + 3 - 3) + (-4 - 1 + 2)*(-173 + 173 - 5*p**3) in the form u + m*p + q*p**2 + h*p**3 and give h.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*h + 266*h - 293*h + 84*h**2 + 72*h**2.\nAnswer: 156*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*t - 5*t + 4*t + 0*t + 5*t - 3*t + 0 + t + 0 + (-2*t + t - t)*(2 + 2 - 5) + 12 - 13 + 100*t + 4 - 3 + 674*t.\nAnswer: 784*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -60, -111, -162, -213, -264?\n\"Answer: -51*l - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1427 and -21.\nAnswer: 29967","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -63833, -63522, -63211, -62900?\n\"Answer: 311*s - 64144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -80*y + 197382 - 191462 for y.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-3) + (-64)\/(-6). Let j = t + 4. What is the remainder when 28 is divided by j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24443 - 22922. What is the smallest common multiple of 78 and r?\nAnswer: 3042","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 2*h - 60, 0 = 4*h + 5*m - 73 - 53. What is the remainder when 166 is divided by h?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-112)\/1*160\/(-1120)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (75\/(-30))\/(3\/6). Let l be (-4 + (0 - k))*-13. Let b = 19 - 31. Are l and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - 7*a**2 + 9*a + 2. What is z(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -af6 (base 16) to base 10.\nAnswer: -2806","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 9:11 AM?\nAnswer: 4:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 197 + -1.77996.\nAnswer: 195.22004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.6? (a) 2 (b) -5\/14 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 4\/3, 16\/9 in descending order.\nAnswer: 16\/9, 4\/3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 12\/25 of a microgram?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3948 is divided by 179?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**4 - 5 + 5 + (-43*p**3 - 185 + 185)*(-12 + 12 - p).\nAnswer: 42*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*g - 6 - 1 = 98*g for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155*s + 427 = -142*s + 128 for s.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 12:23 PM?\nAnswer: 3:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, o: 1, p: 3, l: 1}. What is prob of sequence po?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -81.72, -39, -1\/2?\nAnswer: -81.72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*7.7273.\nAnswer: -15.4546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 286538858 to the nearest integer?\nAnswer: 659","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 66262.17 months?\nAnswer: 5.5218475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 3 = -4*n, -3*y = -3*n + 6. Suppose -3*r - q = -5 + 2, -2*r + y = -q. Let w = -12\/31 + 232\/279. Is w equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 20*k. Let m(a) = 45*a**2 - 31*a - 29. Give h(m(u)).\nAnswer: 900*u**2 - 620*u - 580","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 414 - 55. Is y a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6159543 divided by 473811\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 171210?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 9:24 PM?\nAnswer: 1:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, i: 2, r: 1, o: 1}. What is prob of sequence iir?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of -c**4\/12 + 8*c**3\/3 - 85*c**2\/2 - 3040*c. Calculate j(9).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -97 + 149. Suppose 0 = 2*n + 5*p - p - a, n = 2*p + 30. Suppose -2*k + n = -2. What is the remainder when 57 is divided by k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzzy when four letters picked without replacement from {z: 4, g: 1, y: 2, n: 3, c: 1}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 1.6. Which is smaller: x or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 7:53 AM?\nAnswer: 9:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 156 and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 9, p: 3}. What is prob of picking 2 p and 2 d?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooyy when four letters picked without replacement from oooooyyyyyooyy.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 210775?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 224, 894, 2010, 3572, 5580, 8034?\nAnswer: 10934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*n = -7*n - 636149 + 1705565. What are the prime factors of n?\nAnswer: 2, 4951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -159.4 and -5262.\nAnswer: 838762.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 6)*(10*n - 7*n - 24*n) + 52 + 51 - 109 + 2*n.\nAnswer: 86*n - 6","meta":{"dup_signals":{},"source":"polynomials__expand_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: Collect the terms in 3487063*p**3 + 3487043*p**3 - 6974112*p**3.\nAnswer: -6*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -81 + 80 - (-15 - (-3 - 1)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -183*m + 19445. Give k(106).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000067243 to six dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -159648?\nAnswer: 1\/53216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - 8*n**2 - 7*n - 3. Let d be s(-7). Suppose 4*w + 10 = -2. Let u be ((-5)\/70)\/(w\/(-6)). Which is the nearest to u? (a) 2 (b) d (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 221965?\nAnswer: 5, 103, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1033, 5, 398.\nAnswer: 0, 5, 398, 1033","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = -31*l + 75. Let o be 29\/l + 16\/(-72)*3. Solve -3*m - o = -3*y - 0*y, -5*y + 7 = 3*m for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 + 5*c**2 + 7. Let y be u(-5). Let d(q) be the third derivative of -q**5\/60 + q**4\/3 - q**3 + 41*q**2. Calculate d(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1753442 or 7013769\/4?\nAnswer: 7013769\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42515997?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 924 divide 8342796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 16\/31, 184, 4 in increasing order.\nAnswer: -5, 16\/31, 4, 184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 50 + -47. Let w be (1 - 6) + 15 + -6. Solve -s - v = -w*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -399.946827789 and 0.4.\nAnswer: -399.546827789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/7)\/((-6)\/(-42))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -936 - -5611\/6. Which is the third biggest value? (a) k (b) -3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 30\/119, -2\/7, -4 in decreasing order.\nAnswer: 30\/119, 0, -2\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3284291 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(243))**2 + 3 - 6*(2 + sqrt(243)) - (5*(sqrt(243) + -3*(3 + sqrt(243))))**2.\nAnswer: -26091 - 8154*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((sqrt(3267)*-2 + sqrt(27))\/(sqrt(72)\/(sqrt(8) - (sqrt(288) + sqrt(8)))))**2 + -1).\nAnswer: -238135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -0.5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sss when three letters picked without replacement from sss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.084, 0.4, -8\/3?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 10115154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 39479164, 39479150, 39479136, 39479122, 39479108?\n\"Answer: -14*x + 39479178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 6*j**2 - 2*j - 1. Let f = -76 + 78. Suppose -18 = a - 5*s, 5*a - 2*s + 18 = -s. Let z be f\/(2 + a - 1). Calculate v(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 99 + 81. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -t**3\/2 - 93*t**2 - 3005*t\/2 + 1596 = 0?\nAnswer: -168, -19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3523, -1052, -0.1 in decreasing order.\nAnswer: 3523, -0.1, -1052","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-8)\/12 + -2.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - a**5)*(4 - 2 + 1) - 2*a**4 + 2*a**4 - 2*a**4 + 2*a**5.\nAnswer: -a**5 - 2*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.173 + -0.027. Let m = 6.7 + x. Suppose -i = 3*i + 8. Sort -0.4, m, i in ascending order.\nAnswer: i, -0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + 161\/21)*(-19335)\/(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -9. Let a be (w\/4)\/(1\/12). Suppose 1 = 2*n - b, n + b = 4*b + 3. Solve 0 = -n*c + 3*c + a for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - (-39 - (52 + -16) - (-11 + -1))?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1.2 (b) 1\/3 (c) 2\/9 (d) -339\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*g - 89 - 47. What is the highest common divisor of 56 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2299 is divided by 50?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1714635874?\nAnswer: 2, 7, 227, 539533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13483394*m*v**3 + 168*m*v**2 - 208307*v**2 wrt v?\nAnswer: -80900364*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44815\/396 - 1016\/9. Calculate the common denominator of v and -97\/660.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(2 - 54\/26). Let s = 19 - c. What is the remainder when 9 is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 146 times -1\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 - 25 = -3*u. What is the highest common divisor of 65 and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -364 + 888*g + 104*g + g**2 - 994*g to r + t*g + v*g**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12926\/(3 - 106\/34). Let f = -770425\/7 - g. Let z = 190 + f. What is the smallest value in -2, z, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 PM and 3:50 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -669*x + 671*x + 4 = 5*h - 15, 0 = 6*h + 3*h - 3*x - 27 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (2 + (3 - -7 - 4))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2892 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 7 + 7*g**3 - 5*g**3 to n*g**2 + m*g + q + o*g**3 and give q.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.207 + 5.3. Let s = t - 0.11. Is s greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*o**3 - 5*o**3 - 11*o**3 + 39*o**3 - 8*o**3.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 15, 4, 77?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 8:13 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*m + 14*m + 15*m - 44*m + 0 - 3 = 0, -4*l - 2*m = 6 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 13 divided by -1579\nAnswer: -13\/1579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -10111111001111 (base 2) in base 9?\nAnswer: -17708","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 32 = 4*c - 3*c, 5*n + 2 = c. Suppose -37 = -3*p - i, 0 = 2*p - 5*i - 18 - 1. Let t = c - p. Solve 0 = -t*o + 3 + 2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34 divided by -54940\nAnswer: 17\/27470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 6 = 0, -4*b + 2*l - 178 = -6*b. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 18, 20, 3, -4, 68, -1 in increasing order.\nAnswer: -4, -1, 1, 3, 18, 20, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of 4*x**2 - 4*x**2 + 13 - x**2. Let n(m) be the second derivative of -m**4 + 2*m. What is n(k(g))?\nAnswer: -48*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 1 + (-7)\/140*4*145\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 345844 divided by 56.\nAnswer: 86461\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -3*f**2 + 360*f - 10800 = 0.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 12 = -3*m, 0 = -4*p - 4*m + 17 - 9. Suppose h + 30 = -4*h. What is the lowest common multiple of ((-2)\/h)\/(-1 - 19\/(-18)) and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x. Let p = -58 + 60. Let d be (-1)\/(-4) - 23\/(-4). Let t(z) = -p - 4 + 5*z + d. What is b(t(w))?\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.0801 (b) -2 (c) 0.02 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -16\/3104813?\nAnswer: -16\/3104813","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2498*j + 6. Let z(f) = -4*f + 10. Calculate c(z(n)).\nAnswer: -9992*n + 24986","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2 + 1 = 0. Let c be (-9 + 12)*(-4)\/r. Let k = c + -2. What is the third smallest value in -5, k, -1\/8?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 4*p**2. Let s(w) be the first derivative of 0*w + 1\/3*w**3 + 0*w**2 - 2. What is s(h(m))?\nAnswer: 16*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27*f**5 + f**4 - 22*f**3 + 486*f**2 + 5*f.\nAnswer: 1620*f**2 + 24*f - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s + 20 + 4 = 0. Let a(k) = -11*k + 3. Let c(l) = 20*l - 5. Let q(z) = s*c(z) - 5*a(z). Let u(y) = 2*y. Determine 3*q(x) + 8*u(x).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/130)\/(109263\/6149).\nAnswer: 2\/231","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22 + (39 - (16 + 5)) - 5) + (-7 - 1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12436 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 - 50*j - 818. What is v(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 4202 = -5*q + 27483, -4*q - 4*f = -25352. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 225\/649 - (-8)\/(-22). Which is smaller: 5 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 AM and 10:18 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4128\/430)\/(744\/6045)?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uhhjjhj. What is prob of picking 1 j and 1 h?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 549*s - 1086*s + 540*s.\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - 1) + 2 - -2. Solve n*x**3 + x**2 + 0*x**3 - 4*x**3 = 0 for x.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t. Let j(l) = -187*l. Determine j(c(f)).\nAnswer: 187*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of -3987*y**5\/20 - y**4\/3 - 56*y**3\/3 - y**2\/2 + 8*y + 125. What is the third derivative of f(d) wrt d?\nAnswer: -23922","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 - -15. Suppose -g = -3*r - 7. Which is the second smallest value? (a) 0 (b) r (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-25))\/((6\/9)\/(8\/12))\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pvv when three letters picked without replacement from cmmmpcmmmvvcmvmpmc.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 30675183 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12149?\nAnswer: 12149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240 + 68 = -2*t. Let i = -55 + t. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -390923 smaller than -390921?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -5*n + 5*w, 10*n = 29*n + 2*w - 78 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*y**2 + 0*y - 1\/2*y**3 + 0.\nAnswer: -y**2*(y + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.51581 less than -5?\nAnswer: -5.51581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 33748 (base 9) in base 7?\nAnswer: 122354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 2 = -4*v - 5*t, 1 = -v - 7*t for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*r**3 + 9 - 3 + 11*r**2 - 11*r**2.\nAnswer: 10*r**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -62\/1185 and 56\/(-70) - ((-250)\/12)\/(-5).\nAnswer: 2370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 2*m + 5, -2*m = 2*z - 14 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -551674616*d - 121*d**2 + 551674616*d + 4 - 44*d**2.\nAnswer: -165*d**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + -1 + -11 + 0. Let l(r) = 7*r + 3. Let o(y) = 15*y + 6. Let j(f) = g*l(f) + 6*o(f). Let a be j(-7). Solve 4*n - 6*n = a for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + -0.1. Let m = -3.4 - -1.4. Let r = m - -7. Which is the third biggest value? (a) r (b) -1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 88494?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4*2\/(-18))\/(12\/18). Is 2\/3 != a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2020221021 (base 3) to base 10\nAnswer: -44422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-697 + 8652 + 4609 - 4789 + 9260)*(-2*k - 3*k + 3*k) as q + y*k and give y.\nAnswer: -34070","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 6 * -1.02662\nAnswer: -6.15972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33 + -4. What are the prime factors of u?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 8195.\nAnswer: 2458.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1887594?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide (-1 + -9)\/((-5404)\/(-1358) + -4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*t**2 - 2*t + 23 - 23 + (0*t**2 + 3*t**2 - 4*t**2)*(-2 + 2 + 1).\nAnswer: 11*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from rkkiiikiiaiiariarrii?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 1. Let s be (3 - (m - -1))\/1. Suppose s - 5 = -2*l. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.3 + 1.32. Let b = 0.020008 - m. What is b rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -298596 divided by -2?\nAnswer: 149298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 267\/(-3471)*(179 - -42)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 494 divide 9865180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 2*l = -5*l + 69, a = 3*l + 12. Suppose 0 = a*v - v - 4004. Calculate the remainder when v is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iibbbqbiqbbbbqqb. What is prob of sequence bb?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 411962 and 116?\nAnswer: 23893796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 0)*((-9 + 2 + 0)*(0 - 1 - 1)*(0*c - 5*c + 4*c) + (2*c - 1 + 1)*(0 - 3 + 1) - 125*c - 16459 + 16459).\nAnswer: 429*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70156 + 12043368.692.\nAnswer: 11973212.692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 68 and 15759.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.76 - -0.2. Let h = b + 0.55999878. What is h rounded to 7 decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 333 (base 8) in base 4?\nAnswer: 3123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/8 of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -728 divided by -5?\nAnswer: 728\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 - 5. Calculate the smallest common multiple of d and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17*n**5 - 2*n**3 - 8*n wrt n?\nAnswer: -340*n**3 - 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m + 12800. Let k be l(0). Round k to the nearest 1000.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9302*4185\nAnswer: -38928870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 3 + 4 + sqrt(162)*5 + -3)**2.\nAnswer: 450*sqrt(2) + 4075","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/12 - (-2 - -2).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 201?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, 31.56, 0.5, -2, 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 19*q**2 - 22*q - 40. Let p be l(-20). Solve p - 4 = -v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.943046 - 0.056954. Let g be (-2 + 3)*(1 - -1). Let z be g\/12*(-6)\/4. What is the nearest to -9 in 1, z, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 + -5 - 2) + 4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 2*g + 9 = -57, -66 = -3*w - 4*g. Suppose -9*f + w = -6*f. Suppose -n - 10 = -f*n. Solve 5*j - 2*s + 7 = 0, -3*j - 6*s = -s - n for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-44)\/33)\/((-28)\/(-30))?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16142178*x**3 - 4711*x**2 - 1188*x.\nAnswer: -96853068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 359 (base 11) to base 15.\nAnswer: 1d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + b**2 + b - 1. Let k be m(1). Suppose -41 = -2*v + g + 5, k*g + 114 = 5*v. Suppose -3*y + v = -y. List the prime factors of y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from {v: 9, i: 10}?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-3)*(-6)\/(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -4*w**2 + w**2 + 10*w**2 - 4*w**2. Let q(k) = 2*k**2. Give q(n(a)).\nAnswer: 18*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 49.6\nAnswer: 14.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 92 + -77 - (-42)\/(-3). Let b be (1\/(-4))\/(15\/4). Is b greater than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -685*p + 1. Let k be q(-1). What is the greatest common factor of 14 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 201077296.2 rounded to the nearest one thousand?\nAnswer: 201077000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l**2 + 204 - 52 - 20*l + l**2.\nAnswer: -l**2 - 20*l + 152","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m - 4. Let s be o(5). Is -13 greater than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 1, -0.065.\nAnswer: -0.065, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*3*(-4)\/(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9869700 by 4925.\nAnswer: -2004","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 360538, 360543, 360548, 360553, 360558?\n\"Answer: 5*q + 360533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1854, -1526, -1202, -882, -566, -254?\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2)*((g\/(g**(-2\/11)\/g))\/g*g)\/g*g)\/(g*g**(1\/3)*g\/(g\/(g*(g*g**0)\/g*g*g)*g*g)) assuming g is positive.\nAnswer: g**(-71\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 102300 and 14091?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/40 + (0\/(-4))\/(-2) and 11\/150.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 PM and 12:08 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 488*t - 691. Let v be u(2). What is the highest common divisor of v and 589?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-768)\/(-5))\/1 - 10\/(-25)?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2 - 7278*y + 603720.\nAnswer: 3*(y - 2340)*(y - 86)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -3*k - 1. Let i(q) = -3*q. Let p(x) = 5*i(x) - 6*r(x). Let a be (-3)\/(-3) + -5*1. Determine p(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.66103023 - -1.661. Round r to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.217 + -1.217. Which is the third biggest value? (a) -0.3 (b) p (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -4*w**2 - 7*w + 6. Let u(x) = -x**2 - x + 1. Let r(k) = -b(k) + 2*u(k). Let v be r(-4). What is the first derivative of -10 + v - 2*i + 4 wrt i?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -1685976*s**3 + 2*s**2 + 10*s + 11. Let b be v(-2). Let k = 65517807 - b. Round k to the nearest 1000000.\nAnswer: 52000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = z - 13, -10 = -4*z + 2. Suppose -a = -0 + l. What is the units digit of 26 - (-5 - a - -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (17 + -2)*(-4)\/(-4). Suppose -2*f + 5*l + 27 + 0 = 0, 0 = -5*f + 2*l + h. Solve 5*u + 11 = -n, -2*u - f = 5*n + 8 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 257*m - 4*m = -54*m + 24560 for m.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g**3 + 85*g**2 - 260*g + 8141. What is b(42)?\nAnswer: -1015","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -202776169, -202776167, -202776165, -202776163, -202776161?\nAnswer: -202776159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 9*v. Solve 2*f + 2*f - 4 = v for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i**2 + 5*i**2 - 5*i**2. Let r(t) be the third derivative of -7*t**4\/12 + t**2. Give r(w(z)).\nAnswer: 28*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millisecond in microseconds?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -69*m**3 - m**2 + 78*m + 153. Give k(-2).\nAnswer: 545","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8 - 3)\/(2\/(-2)). Let o = -0.02 + 0.06. Let c = -0.36 - o. Put c, s, 0.3 in descending order.\nAnswer: 0.3, c, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-60)\/(-18)*-3*(-1)\/(-2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 501\/1681, 0.2 in increasing order.\nAnswer: -5, 0.2, 501\/1681","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d = -2*v + 18, -18 = 681*d - 683*d - 2*v for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4342 divided by -32\nAnswer: -2171\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59 - 881*j**2 - 902*j**2 + 1745*j**2.\nAnswer: -38*j**2 + 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 2*g + 60 = 0. Let x = g + 17. Which is bigger: x or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10032*g - 7624499 + 1750799 = 28998*g + 128*g for g.\nAnswer: -150","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-8)*-2*2. Let c be 0 - 2 - l - -10. Let r = c - 5. Solve r*i = -18 - 2 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilometer in centimeters?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5044 - -553. Let c = -5615.965 + j. Let m = c - -19. Round m to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -75135, -300531, -676185, -1202091, -1878243?\n\"Answer: k**3 - 75135*k**2 + 2*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1399513 - 6.95\nAnswer: -1399519.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8.483 + -6.8401. Let f = o + 117.7871. Let s = -120 + f. What is s rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 344 is divided by 116?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g\/(g**(-8)*g*g))*(g*g\/g**6)\/g)**(3\/4) assuming g is positive.\nAnswer: g**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11672, 11675, 11678, 11681, 11684?\nAnswer: 11687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -42 - -41.99999946. What is a rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 242 is divided by 197.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of 1\/20*m**5 + 0*m**3 + 2*m + 0 - 7\/12*m**4 - 13\/2*m**2. Let f(u) = -2*u**2 - 4. What is -7*f(o) + 2*x(o)?\nAnswer: 2*o**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -848 + 849. Sort k, 6, -4 in decreasing order.\nAnswer: 6, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 12 + -1a537?\nAnswer: -1a525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -193320137\nAnswer: -77328054.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 47599 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -3*o**3 - 2*o**2 - 4*o - 5. Give k(-2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -2*a - 779 + 2023, 3*a = 4*c - 1653. Calculate the greatest common factor of c and 1426.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 848760, 848755, 848748, 848739, 848728, 848715?\n\"Answer: -r**2 - 2*r + 848763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 520*u - 68 = -515*u, 58 = -7*y + 6*y - 4*u for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2*t + n = 0, 2*t = 5*n. Let y(c) = c**2 + c. Let j be y(-3). Solve -2*q + j = -t*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421.2913ml in litres?\nAnswer: 0.4212913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 32243403 to the power of 1\/2, to the nearest integer?\nAnswer: 5678","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/24*(-240)\/(-80).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2 - 16628*q - 1626570.\nAnswer: -2*(q + 99)*(q + 8215)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 125550 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 71.3 + -37.3. Sort f, 2, 0.3.\nAnswer: 0.3, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 - 5*b - 5. Let k = -5 - -12. What is the lowest common multiple of 6 and v(k)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -4*z**4 + 128*z**3 - 664*z**2 - 5760*z + 6300 = 0.\nAnswer: -5, 1, 15, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**3)\/m*m\/m**(-2\/5))\/((m*m**10)\/m**11))**(1\/2) assuming m is positive.\nAnswer: m**(-4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 2)*(y**4 - 4*y**4 + 2*y**4) + (-128*y**3 + 61*y**3 - 151*y**3)*(-5*y - y + 5*y).\nAnswer: 219*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*w = -26*n + 27*n - 29*w - 35, -11*w + 135 = 5*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1548161?\nAnswer: 1548161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**2 - 3*j**2 + 4*j**2)*(31*j**3 - 59*j**3 + 27*j**3)*(-3 + 3 + 1).\nAnswer: -2*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -112 - -192. Suppose 20 = -t*n + 84*n. Sort n, -3, 9.\nAnswer: -3, n, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 222186 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -335 - -4357\/13. Let i = 2.6 - 3. Which is the second smallest value? (a) 3 (b) i (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3333 and 639229.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*y + 471085 + 2772965 = 0. Is y a multiple of 267?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1032?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 468 = 4*a - 345, -5*v + 103 = 6*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 33*k - 50. What are the prime factors of v(10)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3)*g*g*g**(-12)*g**(-16)\/g*g**(-5))**(8\/3) assuming g is positive.\nAnswer: g**(-280\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 4 + (-1*sqrt(1053)*-2*1 + -1)**2.\nAnswer: -36*sqrt(13) + 4221","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -979, -3663, -8125, -14359, -22359, -32119, -43633, -56895?\nAnswer: -71899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -95824*h + 191496. Determine c(2).\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32.12157*-1.7.\nAnswer: -54.606669","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5595867.\nAnswer: 3, 47, 13229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29076 and 1185.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.012331 rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7653 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1483 >= -1542?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 286624?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 87986, 175972, 263956, 351938?\n\"Answer: -b**2 + 87989*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 651 and 12?\nAnswer: 2604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*d = -22*d + 736 for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 65.5266.\nAnswer: -196.5798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7664.\nAnswer: 2, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3120 (base 5) to base 2\nAnswer: 110011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 14901, 14900, 14899, 14898, 14897?\n\"Answer: -n + 14902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in -4, 2\/3, -1, 0.1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 57, -1, 4, 3, -3, 130, 78.\nAnswer: -3, -1, 3, 4, 57, 78, 130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -9*p**2 + 2*p - 2. Let l(j) = 8*j**2 - 2*j + 3. Let u(y) = -y**3 - 53*y**2 - 243*y - 147. Let g be u(-48). Calculate g*x(m) - 2*l(m).\nAnswer: 11*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4\/177, 1, -1\/5, -0.02, 0, 14, 1.7?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*s, -4*g = -2*s + 7 + 33. Let f = 1 - g. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 8) in base 4?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 1 = -d - 2, d = -2*n + 13. Suppose n*r - 51 = 265. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(77)*-6 - sqrt(77)*5*6)\/((sqrt(42)\/sqrt(3))\/sqrt(2)*1*1).\nAnswer: -42*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2184 (base 10) to base 14\nAnswer: -b20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/q**(-2\/17)*q**(-5)*q)\/(q**(1\/4)\/(q*q**(-8))))\/((q**(2\/7))**(1\/42))**(4\/21) assuming q is positive.\nAnswer: q**(-1917299\/209916)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-30)\/25*(-10)\/(-3). Let h be (-21)\/6 - (-2)\/p. Let s(w) = 974999*w - 4. Let b be s(h). What is b rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c. Let a(g) = g**3 + 3*g**2 - 5*g - 2. Let u be a(-4). Let q be u\/6*(-18)\/(-3). Let i(y) = 7*y**2 + 0*y**2 + y**q. Give i(p(m)).\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 897931 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 23313310 (base 4) to base 6\nAnswer: 1013044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -3*p**2 - 5*p - 126. Let o(v) = -4*v**2 - 6*v - 126. Let z(k) = -5*j(k) + 4*o(k). What is the tens digit of z(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 273903 (base 12) in base 15?\nAnswer: cc5b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/3))**(25\/3)\/(f\/(f**(2\/3)\/f*f)*f*f**(-2\/7)*f) assuming f is positive.\nAnswer: f**(-304\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 + -16. Suppose v*p = -10, 4*c + 2 = 3*c - 5*p. Does 6 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4215489390?\nAnswer: 2, 3, 5, 7, 71, 73, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, -5, -120, -0.73, -3 in descending order.\nAnswer: -0.73, -3, -5, -22, -120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1 + 159*4\/12 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.4 - -0.1. Let f = -1.452 + p. Round f to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3 - 692*n**2 - 498030*n - 55972800.\nAnswer: 2*(n - 736)*(n + 195)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 21 = -2*k, -2*v + 13 = -k + 1 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + 22*v**2 + 40*v + 6. Let r be o(-20). Suppose -5*z = 4*p - 71, 25 = 4*p - 3*z - 54. Suppose -p + 11 = -b. Solve -b = r*g - 2*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (4 - (-3 - -1 - -11) - -11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7 + ((-14)\/(-6) - (-4)\/6). Differentiate 1 - 7 - k*m - 13 + 3*m wrt m.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 - 16. Suppose -10*f + 53 = -5*f + 3*a, 0 = -v*a - 16. Let m(r) = f*r - 30*r + 16*r. Let l(k) = 7*k. Determine m(l(p)).\nAnswer: -7*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -129.0262 - -129. Let x = -0.0059 - i. Round x to three dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1569.26417 to the nearest one hundred.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -800825\nAnswer: 4004125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139*h - 4*m + 1268 = -135*h, 3*h - 5*m - 959 = 0. What are the prime factors of h?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*k + 193*k = 957435. Calculate the greatest common divisor of 58 and k.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1723475358?\nAnswer: 2, 3, 11, 791311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 - 0 - (-7 - 0 - (457 - 471)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 59*q - 8. Let h(r) = 1. Determine -b(a) - 6*h(a).\nAnswer: -59*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 0 + (13 - (10 + -8)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d**2 + 49*d + 14. Let z(a) = a**2 - 24*a - 7. Let v(y) = 3*s(y) + 7*z(y). What is the hundreds digit of v(36)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 1:14 AM?\nAnswer: 2:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -218.35 - 0.65. Let f = -124 - o. Let p = -101 + f. What is the third smallest value in 0.6, 5, p?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vrrv when four letters picked without replacement from {v: 3, t: 1, r: 5}?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/51)\/(j*(j*(j*j**(6\/7)*j)\/j)\/j*j))**(6\/35) assuming j is positive.\nAnswer: j**(-2726\/4165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/13))**(-31)\/(((f**0\/f)\/f)\/f)**(22\/7) assuming f is positive.\nAnswer: f**(424\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 9095 - 1952 = 0. Let v = d + 18838. Is v\/14 + 1\/2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3193 is divided by 2021.\nAnswer: 1172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**14\/(y*(y\/(y**(1\/2)*y))\/y)*(y*y*y*y**(-14))\/y*y**(-13)*y assuming y is positive.\nAnswer: y**(-19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -281*q + 1 - 1 + 280*q. Let k(a) = -33*a. Give v(k(c)).\nAnswer: 33*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 510 - 505. Put -0.5, x, -0.024 in ascending order.\nAnswer: -0.5, -0.024, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -438*d + 21896. Let c be l(50). Suppose 24 = -4*f - 0. Sort f, c, 3.\nAnswer: f, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z - 1. Let a(c) = c - 3. What is a(r) - 6*l(r)?\nAnswer: -11*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 2*t = 18, -22*b - 4*t - 30 = -24*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-51)\/((2\/(-177))\/(8\/12)). What is the highest common factor of c and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*p**5 + 48*p**4 + 16*p**3 - 40*p**2 - 36*p - 8.\nAnswer: 4*(p - 1)*(p + 1)**3*(5*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + g = 0. Suppose -v + 0 + 2 = g. Suppose 0*h + 10 = v*h. What is the remainder when 11 is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a4697 (base 11) to base 15\nAnswer: -30311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 2.177382 micrograms?\nAnswer: 0.000002177382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.4 + 0.5. Let l = 177 + -195.4. Let d = l + 18. What is the closest to -0.2 in d, 3\/2, q?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 34 (b) -2\/45 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/11, -9, -3, -0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -29 - 320*g + 124*g + 105*g in the form h + t*g and give t.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3432 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*v + 8*v + 2875 = 0 for v.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/(-9))\/((-2)\/(-18)). Find t such that -3*t**3 + t**2 + o*t**2 - 2*t**2 - 2*t**2 + 3*t - 3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 74 + -46. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8051717 rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1807 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p**2 - 3*p**2 + 0*p**2)*((-8*p**2 + 3*p**2 + 0*p**2)*(6*p + 10*p - 7*p) + 10*p**2 - 4*p**3 - 10*p**2).\nAnswer: -98*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)*-2*1 - sqrt(152))\/(sqrt(72) + sqrt(72)*1 + sqrt(72) + sqrt(72))*3*3.\nAnswer: -9*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 267581?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.882 times 0.5?\nAnswer: -7.941","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2*m + 3 = 0. Let z(g) = -9*g + 2. List the prime factors of z(m).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 1, 10, 3, -4 in descending order.\nAnswer: 10, 3, 1, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4592267 is divided by 270122?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5700166 is divided by 2580.\nAnswer: 946","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9 or -27424?\nAnswer: -27424","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24 + 76. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 AM and 4:46 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 21111002222 (base 4) to base 11\nAnswer: 1420366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 676\/234 - 12\/54?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 4*c**2 - 5*c. Let m(t) = -t + 4*t - t**2 + 0*t - t**2. Calculate -3*d(o) - 5*m(o).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - z = -0*h + 19, -6 = -3*h - 2*z. Suppose 954 = 4*k - 4*x + 298, -5*k = -4*x - 816. Suppose k = h*g + g. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -15 - 13?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2516920, 5033823, 7550728, 10067635?\nAnswer: 12584544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3800*3\nAnswer: -11400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-5 + (sqrt(468) + 0 - sqrt(468))*-5)**2.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 17, m: 1}. Give prob of sequence rrmr.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6638 + -19913\/3. Find i such that 2\/3 - 1\/3*i**2 + k*i = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 12*w**2 - 8*w + 16. What is t(12)?\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 - 2*n**2 - n - 2. Let z be y(-2). Suppose 3*a - 23 + 57 = -4*r, 5*a + 4*r + 46 = z. Is (158\/a)\/((-3)\/9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, z: 5, y: 1, a: 1}. Give prob of sequence yz.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68879133 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 53750 - 279*d - 1053*d - 54560 wrt d?\nAnswer: -1332","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -942*r**5 + r**4 - 886*r wrt r.\nAnswer: -18840*r**3 + 12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1))**(-16)*t**(2\/9)*t*t*t**(-5\/2) assuming t is positive.\nAnswer: t**(283\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -123 + 2*p - 9*p**2 + 167 - p wrt p?\nAnswer: -18*p + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**2 + 2*v**3 - 4*v + 2*v + 10*v in the form x*v + g*v**3 + a + w*v**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 + 7*a + 4. Let x be b(-7). Let i = 8 - -14. Determine w so that 23*w - 46*w**3 + 44*w**x - 16 + 14*w + i*w - 28*w**2 - 3*w - 10*w**5 = 0.\nAnswer: -1, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + 7*d**2 + 52*d + 27. Determine i(0).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g - 640 = 130. Is 22 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 19. Let s(q) = -52. Let w(z) = 11*d(z) + 4*s(z). Let c(t) be the second derivative of t**4\/12 + t**2\/2 - 2*t. Calculate -4*c(i) + 4*w(i).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of 0*q - 8*q**2 + 0*q**3 + 4\/105*q**7 + 0 + 0*q**6 + 0*q**4 + 1\/10*q**5. What is the third derivative of s(p) wrt p?\nAnswer: 192*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -666, -1415, -2164, -2913, -3662?\nAnswer: -4411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - 8*w**2 + 4*w - 10. Determine z(7).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 622700?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 2\/275105957?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 - 6*n**2 - 3*n + 6. Suppose 0 = d + 4 + 1. Calculate g(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, o: 11, a: 3, s: 5}. What is prob of picking 1 a and 2 s?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 24230255 (base 6) in base 8?\nAnswer: 2730133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-331726)\/(-3948) + -25 + -59.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - o + 2)*(0 + 0 - 1)*(0 + 0 + 2*o).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -47 + -0.38.\nAnswer: -47.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-874272)\/(-154))\/(-12) - (-1)\/11. Is i <= -472?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-475)\/(-100)*(-694 + 2)*-1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -4*v + 123, 3*j = 7*v - 311 + 92. What is the greatest common divisor of v and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1402100432 (base 5) in base 12?\nAnswer: -1232571","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 96.597945 rounded to 2 decimal places?\nAnswer: 96.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -134759 and -22654991?\nAnswer: 22520232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1414394 is divided by 2080?\nAnswer: 2074","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5581 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -6*u**3 - 10*u**2 - 5. Let k(v) = 7*v**3 + 11*v**2 + 5. Let m(f) = -5*k(f) - 6*n(f). Let c(p) = 2*p**3 + 14*p**2 + 14. What is 5*c(w) - 14*m(w)?\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 6. Suppose -5 = 2*o + k. What is the common denominator of -53*((-16)\/(-44))\/o and -37\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1351*i**5 - 297*i**5 - 619*i**5)*(0 + 3 - 1).\nAnswer: 870*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 - 6*s + 6. Let a(b) = b**2 + 6*b - 5. Let r(l) = -4*a(l) - 3*c(l). Determine r(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27239 is divided by 227.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26 and 220920687?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of 0 + 0*a + 1\/120*a**6 + 3*a**2 + 0*a**5 - 1\/6*a**3 + 0*a**4. Let h be s(1). Round h to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o - 1. Let f be (2\/6 + 0)*9. Let b be k(f). Differentiate -1 - 1 - b - 9*z**4 wrt z.\nAnswer: -36*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/19, -67, -0.5?\nAnswer: -67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2*f = -0*h - 5, -h = -f - 2. Suppose 3*d - h*r - 47399995 = -2*r, 0 = d - r - 15799995. Round d to the nearest 1000000.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 2)*(2*y**4 + y**4 - 2*y**4 + (4*y + 3*y**3 - 4*y)*(-19 - 2*y + 19)).\nAnswer: -10*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 + 37*y**2 - 16*y - 90. Give o(-37).\nAnswer: 502","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s - 5*s - 8 + 2*s + 2. Let k(u) = -u - 1. Determine 3*k(m) - w(m).\nAnswer: 2*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164653 is divided by 3430.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30*-1*11\/(-22).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 2, -117, 3060?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14455.\nAnswer: 5, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.056 - 3.044. Let n = -0.1 - g. Let b = 3 - n. Put -0.4, -1, b in descending order.\nAnswer: b, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 137 + -69. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2108000 rounded to the nearest 100000?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -123 - -150. Let t(g) = g**3 + 3*g**2 - 2*g - 4. Let j be t(-3). Solve -2*c + 4*c = -j*n - 12, 2*c + 5*n + v = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10\/11? (a) 1\/4 (b) 343\/6 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 2*z + 0*z)*(0*z - 3*z + 2*z) + 0*z**2 + 0*z**2 - z**2 + 13*z**2 - 7*z**2 - 2*z + 7 - 7*z**2.\nAnswer: -3*z**2 - 2*z + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/9210 and 157\/30?\nAnswer: 9210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 67*t - 68*t. Solve -3*w - s = 2*s - 6, 2*w + s = t for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3504426 and 454?\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(85)*-3)\/(sqrt(10)\/(sqrt(4)\/sqrt(2))) + (sqrt(68)\/(sqrt(32)\/sqrt(2)) + 3)**2.\nAnswer: 53\/4 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 7 = -1. Suppose -3*f = 3*u - 264, 4*u - i*f = u + 244. Calculate the remainder when u is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 80980838 divided by -36298\nAnswer: -2231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12192 is divided by 953?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25711.724 + -25772. Let r = y - -60. Let m = 0.276343 + r. What is m rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 = -2*n - 137. Let b = 163 + n. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 48\/72793 or 34?\nAnswer: 48\/72793","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.2 - -0.8. Let k = 2 - n. Which is the nearest to 0? (a) 8 (b) k (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1251458 and 4421378.\nAnswer: 3302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 126298?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1196911 is divided by 478.\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 636510053?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 40 - 18)*(2 - 2 + 2)*(-3 + 2*i + 3)*(-6 + 3 + 6)*(-4*i + 7*i - i) as n*i**2 + o*i + a and give n.\nAnswer: 528","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-3 - 32\/(-6))*3 is divided by (-3)\/(-3 - (-6)\/3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -8056*i - 8042. Give c(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1476 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 1. Let s(h) be the third derivative of -1\/6*h**3 + 25*h**2 + 0 + 1\/120*h**6 - 1\/60*h**5 + 0*h + 1\/24*h**4. Give s(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 5*s = -4*j - 8, 5*j - 3*s = 16. Let f(b) = -52 + 5*b**j + 52 + 7*b. Let q(h) = h - 262*h**2 + 531*h**2 - 268*h**2. Give -2*f(i) + 14*q(i).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53, -0.4, -0.3, 0 in increasing order.\nAnswer: -53, -0.4, -0.3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 171142 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/30 + (-339)\/(-18). Suppose -15*r + d*r - 192 = 0. Let c = -44 - -76. What is the highest common divisor of c and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3993)\/(-5445)*(-17 + -1)\/(-2).\nAnswer: 33\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107928994 to the power of 1\/3, to the nearest integer?\nAnswer: 476","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -189*u + 3930 + 39 = 0. Calculate the common denominator of -7\/4021 and u.\nAnswer: 4021","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 114 = 2*l + 2*f, l - 57 = -4*f. What is the greatest common factor of 114 and l?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*g, 3*f = 4*g - 207 + 65. Round f to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12679721 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 74187168 divided by 1956\nAnswer: 37928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14\/5490575 and -137\/2250.\nAnswer: 494151750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = 10*y - 16*y - 4*o, o = 3*y + 27 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -357979*b**3 + 225166*b**2 wrt b?\nAnswer: -2147874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o**3 - 176635*o**2 + 31284370*o - 61862240 = 0. Calculate o.\nAnswer: 2, 176, 35149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.25 + -2.25. What is the smallest value in s, 3, -16\/3?\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -19, -30, -29, -10, 33?\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 10, -14, -52, -104, -170, -250?\n\"Answer: -7*t**2 - 3*t + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h**2 - 22*h + 2. Give z(9).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of -5*r**4\/6 + 2*r**3\/3 - r**2\/5 + 23*r. Factor g(k).\nAnswer: -2*(5*k - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20834480?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*t**4 + 482*t**2 - 190*t - 6147148?\nAnswer: -24*t**3 + 964*t - 190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 171479 a multiple of 187?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000661789674 to seven decimal places.\nAnswer: 0.0006618","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3241325, -6482648, -9723971, -12965294, -16206617, -19447940?\nAnswer: -22689263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.1 - -0.2. Let d = f + 0.6. Sort d, -1\/4, -1\/3 in descending order.\nAnswer: -1\/4, d, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -13*h**3 + h**2 + 2. Let r(c) = -c - 4. Let x be r(-6). Let a be j(x). Is 10 a factor of ((-3)\/2)\/(7\/a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -4, 3, -6\/7, -2, -4.3, 5 in descending order.\nAnswer: 10, 5, 3, -6\/7, -2, -4, -4.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4442905?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23137751 is divided by 264.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*v - 4561062445508 + 4561062445508.\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, y: 1, e: 5, j: 1, v: 1}. Give prob of sequence je.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5429?\nAnswer: 61, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2652 and 19890.\nAnswer: 39780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - l - 87 = -2*l, 0 = 3*f - 2*l - 286. Let k = -42 + 29. Let h = f + k. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 11:17 PM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33 (base 8) to base 15.\nAnswer: -1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000207965822 to 7 decimal places.\nAnswer: -0.0000208","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 2:34 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2208771?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*v - 287 = 18 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6288\/39395 - 151268739\/24976430. Let w = r - 1\/317. Find the common denominator of w and -137\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.3, -13, -2, -4\/3 in decreasing order.\nAnswer: 3, 0.3, -4\/3, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -90 in -6.21, 1.62, 1?\nAnswer: -6.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*a - 2*a**3 - 41*a - 2*a**4 - 2 + 2 as z + h*a + i*a**2 + u*a**3 + n*a**4 and give h.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70458?\nAnswer: 2, 3, 11743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 106*t**2 + t - 1. Let n be q(1). Suppose -4*v = -n - 10. List the prime factors of v.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((312\/65)\/(-24))\/(7\/(-45)).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 8 - 8 - 4)*(9*n**3 + 31*n - 31*n).\nAnswer: -171*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 20950\/40 - 2\/(-8). Suppose g = 2*y + 2*y. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -5*u + 4. Find the second derivative of -9*x + 152*x**u - 154*x**5 - x wrt x.\nAnswer: -40*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of -2*s**5\/5 - 67*s**4\/3 + 214*s**3\/3 + 140*s**2 + 14*s - 6. Factor n(t).\nAnswer: -4*(t - 2)*(t + 35)*(2*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 733.\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zmz when three letters picked without replacement from wnqgqgmnzmzmnnnnqm?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 831.3384 decades?\nAnswer: 8313.384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156 = 3*m - 6*y, -381*m - 13*y + 12*y = -385*m + 40 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 14 = -4*t + 2*t, 4*t = 28*v - 184 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*x - l = -62*x - 5, -4*l = 5*x + 10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 4*h + 32. Calculate the smallest common multiple of 3 and a(22).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xk when two letters picked without replacement from {x: 1, g: 3, k: 1, h: 4, q: 1, i: 4}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -147*a**2 + 0 + 43 - 144*a**2 + 293*a**2 - 43.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112 + 2.3076.\nAnswer: 114.3076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2. Let f(u) = 1. Let x(z) = -3*f(z) + g(z). Let j(s) = -7*s - 9. Let d(a) = j(a) - 4*x(a). What is d(-4)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 62 = 4*c. Suppose w - 17 = 23. Calculate the remainder when w is divided by c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -60 * 1628.\nAnswer: -97680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 249, 2\/13, -0.3, 350, -1\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuuu when four letters picked without replacement from uuunjunnuuuduuuun.\nAnswer: 33\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -371, 3\/2, -1.03?\nAnswer: -371","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 15*x**3 + 13*x**3)*(4*x + 0 - 3 - 8*x).\nAnswer: 8*x**4 + 6*x**3 - 8*x - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 + 12. Let l(x) = x**3 + 15. Determine -5*a(y) + 4*l(y).\nAnswer: 4*y**3 - 5*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 2*g. What is the second derivative of g*u**2 + 2*u**5 - 5*u**5 + 7*u + 0*u**2 wrt u?\nAnswer: -60*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15522 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*w**5 + 21*w**5 - 11*w**5 + 0 - 5*w**5 + 0 + (-2 + w**4 + 2)*(4*w - 2*w - 3*w).\nAnswer: 15*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2670919376?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -115\/3 + 1153\/30. What is the nearest to 1\/9 in m, -0.1, 0.08?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1506496.\nAnswer: 2, 23539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 - 3*q + 2. Let g be n(3). Let x = 8 - 4. Determine t, given that 2*t**2 - 8*t**2 + 4*t + x*t**g = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 96855111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -12.6. Let y = -1.2 - i. Let q = -5.7 - -6. Put q, -0.3, y in descending order.\nAnswer: y, q, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -9, 9, 3, 0.2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 373 - 376.98. Round h to 1 decimal place.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1715 is divided by 823.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does -198076 = -198076?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 106496, 212941, 319362, 425747, 532084, 638361, 744566?\n\"Answer: -2*k**3 + 106459*k + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15166061, -15166069, -15166083, -15166103, -15166129, -15166161, -15166199?\nAnswer: -15166243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/105 and -23\/9534.\nAnswer: 47670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -60*f - 15. Let c = -2\/21 + -4\/105. What is the nearest to -2\/5 in 2, c, f?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0782291 to two dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2179840?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2651 - -3179. Does 33 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12490776?\nAnswer: 2, 3, 173483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 7*b - 14 = 26, 0 = -4*m - 13*b + 14*b + 8 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2625306*u**3 - 2743153*u wrt u.\nAnswer: -15751836*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*u**2 + 14*u**2 - 22*u**4 + (0*u**2 - u**2 - u**2)*(-3*u**2 - 10*u + 12*u + 2*u**2) to the form g*u**3 + k*u**4 + s*u**2 + h + x*u and give k.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 7:55 PM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k**3 - 84*k**2 - 86*k + 5. Let m be a(43). Put -0.04, -16, m, 3\/5 in decreasing order.\nAnswer: m, 3\/5, -0.04, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*j + 14 = -27*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 137 + 628 + h + 0*h + 0*h - 182 in the form b + o*h and give b.\nAnswer: 583","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -65400 or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 323?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 = 341*o + 204 + 2576 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 43734 and 240537.\nAnswer: 481074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1542959.\nAnswer: 11, 140269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 7920992?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - -5450663?\nAnswer: 5450667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-55))\/(186\/30 + -6)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34 + 38. Suppose -3*o - 5*c + 6 = -3*c, 0 = -3*o - 4*c + 6. What is the third derivative of -2*y**o + g*y**3 - 2*y**3 + y**3 wrt y?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 3:12 AM?\nAnswer: 2:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 8 = b - 5*v, 8 = 4*b + v for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*h**2 + 2*h**2 - h**2)*(1 - 14 + 4)*(2*h - 4*h + 0*h)*(-5*h + 7*h - 37*h) to the form k + x*h**3 + s*h + z*h**2 + p*h**4 and give p.\nAnswer: 1890","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/37)*i)\/(((i**(2\/19)*i)\/i)\/i*i))**(8\/9)*((i\/i**(1\/16))\/i**(-3))**(3\/5) assuming i is positive.\nAnswer: i**(524681\/168720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of 12*g**5\/5 - 15*g**4\/4 + 296*g + 250. What is the derivative of v(z) wrt z?\nAnswer: 48*z**3 - 45*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1224389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 833126?\nAnswer: 2, 7, 59509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66197*i + 2503*i**2 + 66197*i.\nAnswer: 2503*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 491 (base 11) to base 6\nAnswer: 2412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand i - i**2 - i + (-4*i - 4*i + 3*i)*(-4*i + 0*i + 6*i).\nAnswer: -11*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**3 + 9*h**2 + 5*h + 6. Let j be q(-4). Suppose -j*r - 84 = -8*r. What is the remainder when 40 is divided by r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (2*(sqrt(70) - 1*sqrt(70)))\/(sqrt(180)\/sqrt(2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 - n**2 + 6*n - 9. Determine d(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 36 = -16. Calculate the smallest common multiple of 64 and p.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - (-16 - (-20 - -13)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 346743097 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 9658*j**3 + 3 - 9623*j**3.\nAnswer: 35*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30 - (49 + -65)) + (105 - -4) + 5?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 AM and 12:40 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -287908, -1151615, -2591126, -4606441?\n\"Answer: -287902*x**2 - x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 24*s**3 - 2*s**2 + 3*s - 1. Calculate r(1).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 2*z - 11. Let v = -2 + z. Suppose -4*q = -v - 46. What is the highest common factor of 165 and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/27 and -163\/7878.\nAnswer: 70902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (4 + -2 + (-6 - -3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4374220?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -5*v + 144. Let w be (0 + 2)\/(4\/v). Suppose -75*f - 5 = -3*a - 73*f, -4*a + 5*f + 16 = 0. Sort w, 5, a.\nAnswer: a, 5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -87, -11304, 3, 4 in ascending order.\nAnswer: -11304, -87, -3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - g = 2*u - 19, 60 = 3*u + 3*g. Let a = 40 - u. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 406 and 531164.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 726.21 - 704. Let u = -1.91 - x. What is u rounded to zero dps?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -256*q**3 - 266*q**3 - 164*q**3.\nAnswer: -686*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.087025 - 10.086945. Let t = -10 - s. What is t rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(1300)*4 - (1*(sqrt(1300) + sqrt(1300) + sqrt(1300) + sqrt(1300)*-3))**2) + 3.\nAnswer: 5 + 40*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121 = 2*b + 3*s, 5*b + 4*s - 5*s = 345. Calculate the remainder when b is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161*n + 44350 - 186352 = 0. Calculate the greatest common divisor of 738 and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -112*u**3 - 12*u. Let s(f) = -2*f**3 + f**2 - 3*f. Calculate -k(o) + 4*s(o).\nAnswer: 104*o**3 + 4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 + 0.5178595.\nAnswer: 0.9178595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19)*2 + -3)**2 + 4)*-6 + 5*(sqrt(2736) + (sqrt(2736)*1 - sqrt(2736)))*5.\nAnswer: -534 + 372*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.36 + -0.26. Which is bigger: 72\/11 or h?\nAnswer: 72\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*b - 5616 = 15*b. What is the least common multiple of 21 and b?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 + 14*z + 18. Let c be v(-13). Solve 2*x = -c*q - 15, 3*x - 26 = -11 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17226 times -439\nAnswer: -7562214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-105)\/(-2590)*37)\/((3\/(-46))\/(-1))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3 + 0 + 4 - 2 + n. Let w(m) = m - 4 + 3 - 3. Let r(t) = 3*t + 48. Let y be r(-17). Calculate y*z(o) + w(o).\nAnswer: -2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oooh when four letters picked without replacement from {o: 19, h: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -3, 4, -4341 in descending order.\nAnswer: 10, 4, -3, -4341","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 228 + -321. Let t = 119 + x. Let a(i) = 3*i**2 + 3*i + 1. What is the remainder when t is divided by a(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*y + 196 = -42*y. List the prime factors of y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 4:20 PM?\nAnswer: 11:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8.3 - 142.7. Let r = -137.762 + -0.238. Let k = r - f. Which is smaller: 0.4 or k?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 657, 1127, 1409, 1503, 1409, 1127?\n\"Answer: -94*b**2 + 752*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gm when two letters picked without replacement from {i: 1, d: 3, s: 1, g: 3, m: 5}.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 3*r - 2*a + 14, 0 = -2*r - a - 10 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 5:17 PM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 b when two letters picked without replacement from bfp?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a millisecond in microseconds?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of -g**4\/8 - g**3\/3 + 5*g**2. What is the units digit of q(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 63225 by 5.\nAnswer: 12645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -16*f**2 + 3745*f - 26218. Determine a(7).\nAnswer: -787","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 10*v + 70 = 0. Let b(i) = -i - 9. Let j be b(-5). Let s be j\/v - 24\/(-15). Solve -3*p + x + 10 = 0, p + 4*x + 7 = s*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*z = -54*z - 50 - 12 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - -38?\nAnswer: 3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2275300986+-3.8\nAnswer: 2275300982.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + x. Let p(c) = -3*c - 3 - 7*c**3 + 3 + 1 - 2. Calculate 3*i(q) + p(q).\nAnswer: -4*q**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**2 - 83*x - 94. Give z(40).\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -123666, -123915, -124164, -124413, -124662?\n\"Answer: -249*t - 123417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 76525.9t in milligrams?\nAnswer: 76525900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 2 c when four letters picked without replacement from xccccxcccccc?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 4)*(6*g - 9*g - 14*g) to the form b + u*g and give u.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (135\/6)\/(-9)*(-20)\/(-1425)*3.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16884*c**4*s - c*s - 1205752*s with respect to c.\nAnswer: -67536*c**3*s - s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -33*m**4 + 78*m**4 - m**2 + m**3 + 0*m**2 - 38*m**4 + 3*m in the form w + z*m**2 + i*m**3 + d*m + a*m**4 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 3 + -4 - 8.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -633, -7, 29, 1, -0.1, 5 in increasing order.\nAnswer: -633, -7, -0.1, 1, 5, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and (-4 - -34)*4\/5?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 142*r**2 + 6*r - 9. Let n be x(2). Suppose -3*v + 176 + n = 0. Suppose -136 = -5*d + v. Is 7 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 67195 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*w + y + 38, -16*w + 12*w + y = 46 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -13*s - 22. Let w be u(-5). Suppose 15 = -c + w. What is the remainder when 52 is divided by c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.14 + 2.14. Let f = -5.7 + 6. Let k = -0.5 + f. Which is the closest to k? (a) r (b) 1 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, c: 3, g: 3, q: 2, w: 1, r: 1}. What is prob of picking 1 r, 1 q, 1 c, and 1 g?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*y = 12*y. Suppose -191 - 39 = -2*m - d, -4*m + 3*d + 470 = y. What is the tens digit of (m\/(-6))\/(20\/(-30))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 14. Let u = -1509.98 - -1510. Sort 0, m, u in decreasing order.\nAnswer: m, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 515\/(-15)*-24 + 1 + 0. Let p = c - 775. Sort 5, -3, p in descending order.\nAnswer: p, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 19*r + 80. Let s(i) = -918*i - 3842. Determine 6*s(t) + 289*x(t).\nAnswer: -17*t + 68","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of -i**6\/2 + 106*i**5\/5 + 2889*i**2\/2 + 3606. Find the second derivative of f(w) wrt w.\nAnswer: -60*w**3 + 1272*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -571\/2316 - 2\/579. What is the nearest to 0 in -4\/3, 3, y, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8444298, -16888600, -25332902?\nAnswer: -33777204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -19*x**2 - 2. Let n(m) be the first derivative of -7*m**2\/2 - 9*m - 22. Let v(q) = -3*q - 4. Let j(u) = 4*n(u) - 9*v(u). Determine b(j(c)).\nAnswer: -19*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**4 + b**2 - b - 1. Let p(f) = 2*f**4 + 5*f**3 - 13*f**2 + 3*f + 3. Let a(k) = -p(k) - 3*z(k). Factor a(c).\nAnswer: -5*c**2*(c - 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2 + -0.3. Let d = 0.029 - -42.971. Let x = -43.4 + d. What is the nearest to 2\/5 in g, x, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(36\/27)*(-75396)\/(-1098).\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 4*h - 465. Is 8 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 165024816 divided by -3438017.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1354*m**3*t - 34*m + 50025*t - 2 with respect to m.\nAnswer: -4062*m**2*t - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8811?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19313 and 434?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u - 3. Let w be n(-7). Determine m so that -1648*m**3 + 25*m + 19 - w + 5*m**2 + 1643*m**3 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 24\/(1*(4 - 40\/12)). Let x be -8 + m\/27*6. What is u in x*u - 2\/13*u**2 + 2\/13 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 - 64*b + 1075. Let u be s(38). Solve u = 43*a - 42 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_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: Which is smaller: -100 or -103?\nAnswer: -103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2941543289 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jqqbbjqqqzoqqq. What is prob of sequence zjb?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28 and 269.\nAnswer: 7532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-2))\/(1\/((-1)\/1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28)\/sqrt(4) + 1 - sqrt(56)\/(sqrt(8) - sqrt(8)*2).\nAnswer: 1 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 87, 154, 243, 360?\nAnswer: 511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 1982*x - 21782. Determine o(11).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 9:19 PM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(200) + sqrt(200) - sqrt(200)) + sqrt(200))*2)**2.\nAnswer: 3200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1059 or -1082?\nAnswer: -1059","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25438*w**3 + 5*w**2 + 41061*w.\nAnswer: 152628*w + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 833164.3mm to nanometers.\nAnswer: 833164300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 6*j. Let f(u) = u**3 - u**2 + 8. Let c be f(j). Let l = c - 1068. Round l to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6060 - -6069. Solve -3 = -4*d + a for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - n. Let v(u) be the first derivative of -7\/4*u**4 - 8 + 4\/3*u**3 - 7\/2*u**2 - 2*u. Let x(d) = -6*l(d) + v(d). Determine x(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**11)\/(z\/(z**(2\/27)\/z*z*z)))\/(z**(-2\/5)\/z*z\/z**1) assuming z is positive.\nAnswer: z**(1819\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2323.\nAnswer: 23, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -1680*q - 7. Is n(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -v**6\/16 - 3*v**5\/40 + 9*v**4\/16 + 7*v**3\/4 + 33*v**2\/16 + 9*v\/8 + 34. Factor l(g).\nAnswer: -3*(g - 3)*(g + 1)**4\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1341968986 to the power of 1\/3, to the nearest integer?\nAnswer: 1103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 471\/545 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2315 + -1636. Is 35 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (84\/10)\/((-10983)\/(-10460))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -655\/4 + 164. Suppose 1\/4*y**4 - 1\/4*y - 3\/4*y**2 + m*y**3 + 1\/2 = 0. What is y?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 4*v + 11, 2*n - 7*v + 2 = -10*v. Solve 2*j = q - 10, q = -4*j + n*j + 6 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 2:16 PM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35569 + 35574. Let h(g) be the third derivative of 0*g + 13\/2*g**3 + 0*g**4 - 31\/60*g**z + 3*g**2 + 0. Differentiate h(t) wrt t.\nAnswer: -62*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -65 + -52bd9?\nAnswer: -52c4e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5978 - -3983. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 468093077 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - j**2 - 2*j - 8. Let q be (-70)\/42*(3 - 0). Let g be m(q). Suppose -r - 5*w = -71, 3*w = -2*r + 61 + g. Is r a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 73143?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2 + 5469*r + 10950.\nAnswer: -3*(r - 1825)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(21\/18)*(-1)\/3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wi when two letters picked without replacement from iwv?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eleven quarters of a century?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u**3 - 12*u**2 - 11*u + 22. Let j be t(8). Suppose -25*s + j = 13*s. What is the third smallest value in s, -3, -70?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1600)\/(-30) - (-1080)\/405.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 501879?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 + 0.8. Let c = -2 + f. Let b = 2 + -3. What is the closest to b in c, -0.3, -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 434 and 280?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*c = -37*c. Let v(q) be the second derivative of 1\/5*q**6 + 0*q**4 + 5\/2*q**2 + 0 - 3*q + c*q**3 + 0*q**5. What is the derivative of v(b) wrt b?\nAnswer: 24*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30.1 - 30. Let f = -0.05 + 5.05. Sort f, 3, s.\nAnswer: s, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.096829323 rounded to two decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 81 = -313*g + 312*g, -2*g + 91 = -4*q - 17 for q.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1035.733 and -18.\nAnswer: -18643.194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 - 117*j - 103. Let a(u) = 2*u**2 - 235*u - 180. Give -4*a(d) + 7*m(d).\nAnswer: -d**2 + 121*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 98 + (5 - (4 + -11))\/(-8*12\/48)\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*v - 7*v + 15*v**3 - 11*v**2 + 3*v wrt v?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -27\/12044 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1464479.\nAnswer: 23, 41, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 331688605 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 o when two letters picked without replacement from ajfxjooofojoo?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t + 9*t - 27. Solve -4*c = -5*c - t for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of -25\/4*s**4 - 1\/4*s**5 + 0 + 11*s - 625\/2*s**2 - 125\/2*s**3. Let b(n) = 0. Calculate n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 + 17*d + 80. Determine n(-13).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 + 35*q**2 - 625*q - 49. Determine g(-48).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-7 + (-32)\/8)*5*56\/40\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/10059 and -139\/20118?\nAnswer: 20118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1003.225 - -987. Let v = a - -16. Round v to 2 decimal places.\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-1)\/(((-12)\/(-21))\/4).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8786 is divided by 2922.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 31*l - 14. Let f be b(9). Suppose c - f = -4*c. List the prime factors of c.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 - 6*w**2 - 6*w - 3. Let b be y(-5). Suppose -q + 16 = -4*k - 0, 3*k - 9 = 0. What is the remainder when q is divided by -1*(-3 + b) + 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/3 (b) 0.5 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 63248 and 4.\nAnswer: 63248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(9\/2))\/1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-51 + 47)*(-50)\/4*(-3)\/45\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -239\/21 + 35\/3. Is 0 >= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 2:06 AM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/(-26)*(2 - 4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(75)*-4 + 1 + sqrt(75))*4 - ((-2 + sqrt(75) + sqrt(75))*4 + 0))**2*-2.\nAnswer: -60288 + 4800*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 2*z + 24, 3*z + 414 - 432 = 0. Let g = 4586 + -59570\/13. Is g < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27742 (base 8) in base 12?\nAnswer: 7116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22133 = 530*s + 3307 for s.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a + 45. Determine v(-13).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f - f + 3*q + 12, f - 5*q = 12. Suppose -2*i - 1 = m - f, 3*m = -i + 58. Let z(n) = -7*n - 2. Calculate the remainder when m is divided by z(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/129584160 and -61\/142542576.\nAnswer: 1425425760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1418723167 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**0))**40*(q**(-9)\/q)\/(((q\/((q*q*q**10*q)\/q*q))\/q)\/q) assuming q is positive.\nAnswer: q**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z - 5. Let o be a(9). Suppose 0 = -o*n - n + 45. Calculate the remainder when 25 is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 = 5*w - 3615. What are the prime factors of w?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 12:57 PM?\nAnswer: 7:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 13020950?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 73*f**2 - f - 1. Let r(u) = -218*u**2 + 3*u + 3. Let c(k) = -17*m(k) - 6*r(k). Is c(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 + 89 - 125) + 1 + 1?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + -9. Let z(y) be the first derivative of 3*y + 1\/2*y**2 - n. Give z(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 31\nAnswer: 3.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -46214*h + 38045. Let l(w) = -9235*w + 7610. Let a(k) = -4*f(k) + 21*l(k). Differentiate a(m) wrt m.\nAnswer: -9079","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhdhhdddhhddhd. What is prob of picking 2 d?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -61 + -6?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2836, 3019, 3328, 3763?\n\"Answer: 63*q**2 - 6*q + 2779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 6.9634227 + 0.5\nAnswer: 7.4634227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -1062*h + 12781. Determine u(12).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5558*r**2 - 47 + 10994*r**2 - 5430*r**2.\nAnswer: 6*r**2 - 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2)\/n)\/(n\/n**(-9)*n))\/(n*(n\/(n\/(n*n**(-9\/4))*n))\/n*n**(1\/12)) assuming n is positive.\nAnswer: n**(-71\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*v - 92 - 124. What is the lowest common multiple of 460 and v?\nAnswer: 4140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1648 = 4*k - 2216. Suppose -54 + k = 8*p. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211002000002100 (base 3) in base 2?\nAnswer: 101100110000000010111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19756, 39604, 59666, 80050, 100864?\nAnswer: 122216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b5 (base 12) to base 8\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k - 5. Let h be g(6). Let m be -1*(26 + h + -2). What is m rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= 4\/82189?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 0*u + 3*u**2)*(11 - 11 - 5*u**3) + 0*u**5 - 2*u**5 + 4*u**5.\nAnswer: -13*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of 40*n**3\/3 + n + 6. What is the tens digit of f(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.58, 2\/13, -1\/4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -42311 + 42316. Solve 65 - g = -15*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 33 - 0. Suppose 4*c + 2*q = -2*q - 12, -c = -3*q + 11. Sort -2, c, p in ascending order.\nAnswer: p, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 10}. Give prob of picking 3 m.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 117309.4 days to hours.\nAnswer: 2815425.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6228.49 * 0.3.\nAnswer: -1868.547","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*a + 19*a = -7*a + 585 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 109\/201 in 3, -5\/4, 0.1501?\nAnswer: 0.1501","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -d + 275, 4*d - 1120 = -27*c + 31*c. Calculate the highest common factor of 57 and d.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -4. Let y = 16\/21 + -44\/21. Let v = 1383.954 + -1384. What is the second smallest value in n, v, y?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 219 + -983. Let w(b) = 55*b - 27. Let h be w(-6). Let t = h - n. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 AM and 11:58 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 13 - 8 = 0. Let v(m) = -3*m + l*m - m + m**2 + m. What is v(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 a factor of 2943155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23277, -23476, -23809, -24276, -24877, -25612, -26481?\nAnswer: -27484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10642, 21251, 31850, 42439, 53018?\nAnswer: 63587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -2\/5, -14\/47, -4\/7, -57792?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25 is divided by 1\/4 - (-7597)\/428.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -8*m**2 + 6*m. Let h = -4 + -1. Let d(v) = -14*v**2 - 2*v - 7. Let g(q) = -13*q**2 - q - 6. Let c(r) = -6*d(r) + 7*g(r). Determine h*j(o) + 6*c(o).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from ojmmqoejjmjqqjqjejo?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**2\/o*o)**(2\/65)\/((o*o\/(o**(-1)*o))\/(o**2\/o))*((o*o**(-2\/3)*o*o)**(-17))**15 assuming o is positive.\nAnswer: o**(-38736\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -174 and 55973?\nAnswer: -9739302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lfu when three letters picked without replacement from {f: 3, l: 1, u: 5}.\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 2*g - 28 = 0, 2*g = 3*v - 2*g - 44. Suppose -v = -5*b + b. Suppose 2*t + b*t = 50. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 12 = 5*q. Let v(y) = 3*y**2 + 2*y - 4. Let z be v(q). Let m = z + -13. What is the common denominator of 56\/9 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9*2 - (-4 - -2). Suppose 17*w + 136 - 272 = 0. Solve -4*g - y = -w*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 355*u + 22895 = 360*u + 5*v, -4582 = -u - 2*v. Is 4 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9751086*q**3 + 31915465 with respect to q.\nAnswer: 29253258*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -577 divided by 3054\nAnswer: -577\/3054","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1144978565 a multiple of 730?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 27 = -7*u + 6*u, 3*t - 27 = 5*u. Let n(i) = -4*i**2 + 5*i + 9. Let g(p) = -p**2 + p + 2. What is t*g(q) - 2*n(q)?\nAnswer: -q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2950 = -2*x - 4*r, x = -5*r - 1267 - 196. Let t = 7433\/5 + x. Solve -40 + 24*s - t*s**2 = 0 for s.\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of -f**8\/6720 + f**7\/840 + f**6\/144 - f**5\/40 - f**4\/12 + 2*f**2. Let t(w) be the second derivative of n(w). Determine t(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19.0509 + -0.0509. What is the closest to -2\/3 in 2, -3, j?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(120\/5))\/(60\/1320)\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5962181 <= 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87 - 42 = -5*n + 5*a, a = -3*n - 31 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1114.64438 to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/18 + (-12)\/(-54). Let n be -5 + 3 - -3 - -3. What is the nearest to r in 0.1, n, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w - 11*w + 4 = 0. Calculate the least common multiple of (-6)\/w*1 - -12 and 2\/6 - (-33)\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y + y + y + 2115 - 2115.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 352*f + 342. Suppose 0 = 18*y - 20*y + 704. Let w(l) = 24816*l + 24112. Let p(o) = y*h(o) - 5*w(o). Differentiate p(c) with respect to c.\nAnswer: -176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m\/m**(2\/5)*m)**(-37))**(1\/11)\/((m**(-2\/3))**41)**44 assuming m is positive.\nAnswer: m**(196442\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k = -865 + 61. Suppose 72*g = k*g + 585. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12)\/32*(-976)\/(-468). Let h = c - -3\/26. What is the closest to 0 in h, -10, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 take away -102237.3?\nAnswer: 102237.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(((l\/((l\/(l**(3\/4)\/l))\/l*l))\/l)\/l)*l**(-16\/3) assuming l is positive.\nAnswer: l**(-25\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**3 + 8*g**2 - 3*g + 21. Let c be o(-5). Let h be (-2)\/c - 39\/(-21). Find a such that 8\/3 - 2\/3*a**h + 2\/3*a**3 - 8\/3*a = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/35*(2 - (-7 - -5))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/8 of a kilometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -885965214688 - 16.\nAnswer: -885965214704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 PM and 4:48 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.31 times 10217?\nAnswer: -23601.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2 = -4*o, 17 = -o - 4*h - 1. Let j(g) = 5*g**2 + o*g**2 + g - 6*g**2 + 1. What is j(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 10:57 AM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -114, -122, -390, -1128, -2546, -4854?\n\"Answer: -35*y**3 + 80*y**2 - 3*y - 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -217*j - 6388 = -3133 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -811 + 813. Let i(y) be the first derivative of -3\/13*y**f - 7 - 2\/39*y**3 + 8\/13*y. Factor i(c).\nAnswer: -2*(c - 1)*(c + 4)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of -7\/3*x**3 + 0*x**4 - 1\/2*x**2 - 11*x - 1\/10*x**5 + 4 + 4\/15*x**6. What is the second derivative of m(g) wrt g?\nAnswer: 96*g**2 - 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of g**4\/24 - 83*g**3\/6 + 4*g**2 + 112*g + 1. What is d(0)?\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34\/23 + -194\/69. Which is the nearest to -2\/7? (a) 1\/12 (b) k (c) -2\/7 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 7*m - 3*r + 19, 3*m + 5*r - 21 = 0. Let q(a) = 28*a + 6. Let s be q(-2). Let o = 52 + s. Solve o*c = -m*c + 16 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*b + 399 + 4070 = -2281 for b.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 7947030 divided by -14555\nAnswer: -546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourty-three halves of a day?\nAnswer: 30960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(10)\/((sqrt(75)\/sqrt(3))\/sqrt(5)).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -2.048.\nAnswer: -2.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 285*h*m*w + 124*h*w - h - m**3 wrt m?\nAnswer: 285*h*w - 3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 15, 603 = 5*m - 0*a - 4*a. Is m a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - 91857537619.\nAnswer: -91857537618.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1153931234 + -1153931266.99999932. Let d = -33 - z. Round d to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - -a4?\nAnswer: a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/(-70) - 0 - 40\/70. Let n be 9\/108*8\/3. Which is the closest to x? (a) -2 (b) -0.1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 97*w**3 - 70227*w**2 - 710*w - 10189. What is x(724)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 711895.5 nanometers in millimeters?\nAnswer: 0.7118955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4642 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 - 23. Let b(j) = j**3 + 8*j**2 + 6*j - 5. Let f be b(z). Let n = f + -2. Which is greater: n or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 144 - 146. Is d at least as big as -0.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2 + 1756*n + 90846.\nAnswer: -2*(n - 927)*(n + 49)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31270 a multiple of 106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -15*h**3 - 263*h**2 + 124*h - 270. Determine d(-18).\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -398+3\nAnswer: -395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f**3*y**3 - 4*f**3*y + f*y**3 - f*y + 13*y**3 + 17*y wrt y?\nAnswer: -12*f**3*y + 6*f*y + 78*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*w**2*z**2 - 24*w**2*z + 45513*w**2 + 3*w*z**2 - w*z - 149*w - 3*z**2 + 5*z + 31 wrt w?\nAnswer: -4*z**2 - 48*z + 91026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*y + 68 = 13*y. Let r = 77\/3 + y. Calculate the common denominator of -1\/39 and r.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - -1111020320020?\nAnswer: 1111020320031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 59\/5 of a century?\nAnswer: 118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -73*m**2*s - 3*m**2 + 114*m + 12*s - 4182 wrt m?\nAnswer: -146*m*s - 6*m + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.21 + -0.01. Let r = 2.01 - m. Let z = 0.19000103 + r. What is z rounded to seven decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-72)\/(-7) + (-4)\/14 and 7\/2 + (-5)\/(-10)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 4*i + 28 = 7*i - 4*i - 28*g, -g - 88 = -4*i for i.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -656 from 1918960.\nAnswer: 1919616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1028*m - 1033*m + 2070*m)*(0 - 4 + 1).\nAnswer: -27*m - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -169\/126 and 97\/18834.\nAnswer: 395514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 PM and 12:04 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 23.78*-0.4\nAnswer: -9.512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29 + -28. Sort c, -0.1, -0.5 in increasing order.\nAnswer: -0.5, -0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1404.58 + -1405. What is the fourth biggest value in 3, 2\/13, 3\/4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -157704*q**2*r + q*r + 47557*q + r wrt q.\nAnswer: -315408*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (36\/(-63))\/((-1)\/14). Let x be 153\/36 + (-2)\/h. Solve -4*j + x = 12 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**(-36)*m*m\/((m*(m*m**(2\/21))\/m)\/m) assuming m is positive.\nAnswer: m**(-695\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - 3*o - 10. Let t(p) = -3*p**3 - 5*p - 21. Let h(r) = 5*l(r) - 3*t(r). What is the first derivative of h(n) wrt n?\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*q**2 + 282425*q - 188290 = 0. Calculate q.\nAnswer: -18829, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 125813 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -743 + 738. Let x(q) = -q**2 - q + 5. Let a be x(0). Put 7, n, a in descending order.\nAnswer: 7, a, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -32, -1\/3?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.6 and 0.02.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -294 + 309. Suppose w*t = -7 + 82. Solve 3*z + 17 - t = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -21*m**2 - m. What is s(1)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/5))**28\/(g*g**(-3\/2)*g*g*g**2*g*g) assuming g is positive.\nAnswer: g**(57\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 60, 67, 64, 45, 4?\n\"Answer: -f**3 + f**2 + 11*f + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26\/52)\/((-7)\/(-6))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -21969*j. Let n(k) = -120*k. What is n(p(m))?\nAnswer: 2636280*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42, -124, -368, -690, -1090, -1568?\nAnswer: -2124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -383 - -542. Is 13 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*a - 9*a + 14*a)*(4 + 8*a**3 + 51*a**3 - 3*a**3).\nAnswer: -168*a**4 - 12*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.47 + -3.53. Which is the biggest value? (a) 0.4 (b) d (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**2\/17 + 132*r\/17 + 2178\/17 = 0 for r.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 0 - (854 + -802)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2*k = 3*g - 684, 3*g - 5*k = 692. Let b be (-4)\/16 + g\/4. Suppose 4*o - b = -3*x + 3, 3*x = 0. Does 15 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 87\/7 + (-6)\/14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of -2*j**5\/5 + 7*j**3\/3 + 73*j**2\/2 + 7. What is the second derivative of v(l) wrt l?\nAnswer: -24*l**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 56?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 5*a - 26 - 41 = 0, 4*z + 12*a + 88 = -69 - 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1425 + -1365. Solve 0 = -59*o + n*o - 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**0)**(-17)\/(k**(-4)*k**(-5)\/k) assuming k is positive.\nAnswer: k**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -210.14 + 212. Let o = q + -2. Let h = -9.64 - o. What is h rounded to zero dps?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 143 or 146?\nAnswer: 143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1203?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 20042.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {k: 4, s: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 74557 - 74588.383. Let y = 288 + -256.8. Let s = o + y. What is s rounded to two dps?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o + 0 + 0)*(-2 + 0 + 1) + 2*o - 5*o + 0*o + 4*o + 4 - 6*o + 14 to h*o + c and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 AM and 10:51 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 0. Suppose 0 = -2*k + 3*n - 694, -3*n - 233 = 3*k + 838. Let y = 354 + k. What is the nearest to u in -0.4, y, -1\/10?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of 359*q**5\/30 - 3*q**4\/8 - q**3\/3 + 6*q**2. Let m be p(-7). Let k = m - 19743. What is k rounded to the nearest 1000?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31, -82, -157, -256, -379, -526, -697?\nAnswer: -892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7627 and 269838.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 e when two letters picked without replacement from {e: 1, c: 1, r: 1, a: 1, u: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + 9*l**2 - 7*l + 10. Let i be b(8). Let y = -18 + i. Suppose y = 6*a - 78 - 36. What are the prime factors of a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*r - 4*r**3 - 53*r + 17*r + 18*r.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.032 - 5.432. Let n = d + 0.4. Which is the third smallest value? (a) 2\/5 (b) n (c) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13277 is divided by 83?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 99239470 or 99239469?\nAnswer: 99239470","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -125243, -0.1?\nAnswer: -125243","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 187935 to the power of 1\/2, to the nearest integer?\nAnswer: 434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 6 = 3*p. Let b(u) = -u**3 - 5*u**2 - u - 2. Let m be b(-5). Sort 6, p, 0, m in ascending order.\nAnswer: p, 0, m, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 - 374*w - 744. Let j be d(-2). Let p(v) be the first derivative of -2\/57*v**3 - 1\/38*v**4 - 21 + 2\/19*v**2 + j*v. Factor p(z).\nAnswer: -2*z*(z - 1)*(z + 2)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 492508651 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13117 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 44, -1, 0, -35, -6, 5 in descending order.\nAnswer: 44, 5, 0, -1, -6, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 5*w**4 - 5695*w**3 - 1325630*w**2 + 2674000*w = 0.\nAnswer: -200, 0, 2, 1337","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 4 + 2*(-1 + sqrt(1331))*4)**2.\nAnswer: -352*sqrt(11) + 85188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 2*c - 163 - 17 = 0, 0 = -2*r - 3*c + 72. Let l = r - 27. What is the remainder when 16 is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -500021?\nAnswer: 6\/500021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 + 56 - 363)*(0*k + 4 + 7*k - 9*k).\nAnswer: 662*k - 1324","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -22733628 + 3?\nAnswer: -22733625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 31677 and 99096215.\nAnswer: 297288645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*y + 3*b = 26*y - 72, -90 = -4*y + 5*b. Let 6\/5*x**3 - y - 66\/5*x**2 + 42*x = 0. What is x?\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 12:39 AM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h**3 - 4*h**2 + 4*h - 3. Let i be d(2). Let z(u) = 10 - i - 8*u - 16*u. Is z(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -567 - -581. Suppose 22 = 4*i + n. Solve 0 = -2*b - 4*k - 2, b + 7*k - i*k = -4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29767933 divided by -2289841\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -21*j - 276. Determine y(-5).\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21296 is divided by 1251.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, z: 1, b: 1, d: 3, o: 5, q: 1}. What is prob of picking 1 t, 1 d, and 1 z?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -76039\/714 - -2228\/21. What is the common denominator of -7\/1054 and p?\nAnswer: 3162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3 + 4*d**3 + 0*d**3 + 5 with respect to d.\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-36)*11\/(22\/28)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1212112221210101 + -21?\nAnswer: 1212112221210010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 2451.\nAnswer: -2\/2451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4897667 a multiple of 1085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbfebfbebfab. Give prob of picking 1 b, 1 e, and 2 f.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**2. Let s(w) = w**2 + 2*w. Let l(c) be the first derivative of 92*c**3\/3 - 6*c**2 - 27. Let x(p) = -l(p) - 6*s(p). Determine x(y(k)).\nAnswer: -392*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 8:44 PM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2607389 and 76627.\nAnswer: 2071","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-14 + 3) - 12.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**4 - 4*h**3 + 32*h**2 + 48*h.\nAnswer: -4*h*(h - 3)*(h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -598, -384, -170, 44?\n\"Answer: 214*z - 812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 38 + -35. Suppose -x + 2*d + 3656686 = -f*d, -3*x - d + 10970090 = 0. Let m = x + 3304. What is m rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6588, -29, 0, 1, 36 in decreasing order.\nAnswer: 6588, 36, 1, 0, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1843728 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: What is next in -252, -962, -2132, -3762, -5852, -8402, -11412?\nAnswer: -14882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 - 21*u + 82. Let y be i(18). Is ((1715\/y)\/7)\/(1\/4) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 11124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 84\/(-36) + 1\/3. Does 13 divide -2 + 97 + w + 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f**2 + 14*f**4 - 6 - 604*f - f**2 + 3*f**3 + 605*f to m*f + r*f**3 + h*f**2 + p + c*f**4 and give c.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l + 9 = 5*l. Let s be (l\/2)\/(7*5\/10). What is the biggest value in -1, s, -7, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**2 + 3*l - 1 + 3*l**2 - 2*l**2 + (l - 2*l + 3*l)*(l - l - 2*l).\nAnswer: -2*l**2 + 3*l - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r and 1 g when four letters picked without replacement from ggrgrggggggrggg?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 5*m - 20 = -18, 0 = -5*m - 5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 21*g - 2. Is o(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 169898.72 * -39\nAnswer: -6626050.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 201122203?\nAnswer: 31, 6487813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -r + 14. Let y = 3 - r. Let a(f) = -f**2 - 9*f - 11. Let n(q) = q**2 + 8*q + 10. Let j(u) = -5*a(u) - 6*n(u). Give j(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -2*d + 16, 0 = -3*y + 2*d + 26. Suppose -y = -0*m + 3*m. Let k(f) = -11*f**3 - f**2 - 3*f - 1. Is k(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**5\/m*m**0)**(-5\/6)\/((m**1*m*m*m)**41\/(m**3\/m**(-5))) assuming m is positive.\nAnswer: m**(-478\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 319*u + 1. Let l(f) = -326*f - 1. Determine -6*l(k) - 5*w(k).\nAnswer: 361*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*h + 2*h + 455 - 1319. Solve h*d - 15 = 225 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, l: 1, u: 1, x: 1, j: 4}. Give prob of sequence ju.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 555 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000204523 rounded to 7 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**8)**15*g*g**16*g**(2\/15) assuming g is positive.\nAnswer: g**(2057\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ihoxilo. What is prob of picking 2 i?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 4*m**2 + 42*m + 59. Calculate p(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 18 = 12. Put -5, 3, w in increasing order.\nAnswer: -5, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7 - (-10 - -3))\/2. Solve i = -222*h + 226*h - 16 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 161706176 to the power of 1\/2, to the nearest integer?\nAnswer: 12716","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -7 - 17. Solve t = -2*h - 0*h + 4*b, 0 = 2*h - b + 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 + (-33)\/12)*0. Which is greater: z or 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 51 - 53.7. Let x = v - -2.2. Put 0.5, -0.3, 0.01, x in decreasing order.\nAnswer: 0.5, 0.01, -0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5110*r**4 + 4433*r**2 wrt r?\nAnswer: 122640*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-64 + 49 + 40)*(-5*a**2 + 3*a**2 + a**2)*(1 + 1 - 1)*(-5 - 2 - 2)*(6 - 3 + 3)*(-7*a**3 - 4*a**2 + 4*a**2).\nAnswer: -9450*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0129 + 5.9871. What is the third smallest value in q, -0.5, 3, 1\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of m**5\/20 - 11*m**4\/12 + 8*m**3\/3 - 3*m**2\/2 - 288*m. What is the remainder when f(11) is divided by 58?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 0. Suppose -1 + 5 = 3*q - 2*f, 2*q = -u*f + 6. Suppose -4*v - q + 6 = 0. Calculate the greatest common divisor of 8 and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*a**2 + 4*a**3 + 38 - 6*a**2 - a**2 + a**2 + a.\nAnswer: 4*a**3 + a + 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 4*k**3 - 4*k - 5. Let p(b) = -3*b**3 + 3*b + 5. Let f(w) = 2*a(w) + 3*p(w). Let i be f(0). Factor i*l - l**3 + 3*l**3 + 3*l + 8*l**2.\nAnswer: 2*l*(l + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -11. Suppose h = -13*r + 1106 + 545. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = 10*b - 27. Let i be 126\/38 - 4 - 2\/2. Which is greater: i or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 46345 - 28206. Let h = d - 489820\/27. Find the common denominator of h and 83\/24.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of x**8\/21 - 13*x**4\/12 + 10*x**2. What is the second derivative of z(n) wrt n?\nAnswer: 320*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13.79 - -0.21. Let n = -47959278.0000092 + 47959292. Let f = n - h. Round f to 6 dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.44 + 1.56. What is the second biggest value in 5\/2, -0.3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2*p - 5\/2*p**2 - 1\/2*p**3 + 9\/2.\nAnswer: -(p - 1)*(p + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 200*h + 4372. Give j(-21).\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5753?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 314146?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -43*b - 36*b + 80*b. Let z(g) = 7*g + 1. Let r be z(-1). Let v = -7 - r. Let h(t) = -2*t - 2. Calculate v*h(i) + s(i).\nAnswer: 3*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wlq when three letters picked without replacement from {w: 3, q: 1, l: 10, g: 1, n: 4}.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 289791 and 1005288.1.\nAnswer: 1295079.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 328003361?\nAnswer: 7, 59, 239, 3323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 14076777 divided by -363?\nAnswer: -38779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/11 and 23\/114?\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 34 = -2*c. Suppose 5*q + 7 = -18, 0 = -n + 2*q + c. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -o**2 + 6888*o = 0.\nAnswer: 0, 6888","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4770.4539 + -37892\nAnswer: -42662.4539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 14*n + 7. Let o(h) = 17*h + 5. Determine -4*c(b) + 5*o(b).\nAnswer: 29*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 93372354?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of -v**4\/4 + 4*v**3 - 21*v**2\/2 + 23*v + 22. Let u be f(10). Solve u = -4*s - 3 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 0.015, -111.1, 11\/3?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m + 3*m = 0. Suppose m = v + s + 234999, -5*s + 470005 = -4*v + 2*v. What is v rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 19489*a + 2. Let q(o) = o. Calculate q(y(h)).\nAnswer: 19489*h + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2a9 (base 14) to base 7\nAnswer: -1402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 849703 + p**2 - 2*p - 57*p**3 - 849703 as a + w*p + r*p**2 + d*p**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/42, 35, -5, 2, -3.\nAnswer: -5, -3, -1\/42, 2, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -220100021002 (base 3) to base 4\nAnswer: -1310332220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, u: 4, t: 9}. Give prob of picking 4 t.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/7))**(-24)\/(x**(-1\/6)\/((x\/((x\/((x\/x**(-7))\/x))\/x))\/x))*((x**2)**(3\/13))**(2\/19) assuming x is positive.\nAnswer: x**(3715\/10374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3849\/(-2)*(-1)\/(-3 - 3). Let s = 14041\/44 + p. Let u = 5409 - 54143\/10. Find the common denominator of s and u.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26.6 - -28.6. Let o = 17 + -50\/3. Suppose -r + 5*i + 17 = 0, -4*r = 4*i - 3*i + 16. Which is the second biggest value? (a) q (b) r (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 11*b - 1. Let c be o(2). Suppose 0 = -2*w - 4*k + 72, -w + c + 30 = 5*k. Let p = 22 - w. Let s(r) = r**2 + 3*r + 3. Give s(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -90*g - 7. Let k(q) = -13*q - 1. Let b(v) = 4*j(v) - 28*k(v). Let i(f) = -4*f + 13*f + 2*f. Determine i(b(a)).\nAnswer: 44*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 - -3 - -16)*1. Suppose 10*l + c - 35 = 0. Solve g = -5*v + 11, -l*v + g - 10 = 5*g for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*m**2 - 84189*m + 333516480 = 0. What is m?\nAnswer: -31583, 3520","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -14 (b) -157 (c) 2.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of -i**6\/120 + 7*i**5\/60 - i**4\/6 - i**3 + i**2. Suppose 12 = -3*z + 5*z. What is the units digit of u(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 37 - (3200 + -3213).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 710023.\nAnswer: 710023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - 5*f**2 - 6*f. Suppose -11*b = 14*b + 250. Let x(t) = t**2 + 11*t + 6. Let k be x(b). Determine h(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j - 1. Let o be l(1). Let q = 5 + o. Suppose -3*s - q = -4*s, -3*x + 3*s + 174 = 0. List the prime factors of x.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60725?\nAnswer: 5, 7, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 900 and 59600.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18.7 in 3\/8, 4, -194, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -418724 divided by 104681.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = -a - 3*m + 24, -m = a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -292 or 145?\nAnswer: 145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3717\/(-147) + 25)\/((-224)\/294).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0732 - -0.3458. What is y rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -22349 - 13696?\nAnswer: -36045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10126 and 12?\nAnswer: 60756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*y - 22*y + 3600 = 0. Is 31*((-6724)\/(-10) - y\/(-150)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - m = 4*m - 26, v - 3*m = -2. Suppose -3*f + x + 19 = -0*f, -5*f = -v*x - 20. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 + 3*b + 1. Let r(x) = -2*x**2 - 5*x - 2. Let c(n) = -2*r(n) - 5*u(n). Suppose -8*d - 26 = 6. Let j be c(d). Solve 3*v + 0*v + j = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 139.05435 months?\nAnswer: 0.115878625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1451.4 + 1451. Suppose -2*o + 3 + 5 = 0. Which is the nearest to 2? (a) -4\/9 (b) y (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2622 is divided by 146.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/34, 0.229, -3?\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from {z: 16, e: 4}?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -112, -122, -114, -70, 28, 198?\nAnswer: 458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 + 5*s**2 - 7*s - 3. Let j be t(-6). Suppose 189*n - 666 = -33*n. Solve -j*d - n*f + 21 = 0, 23 = 2*d + 3*d + f for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/((-2)\/(3 - 2)). Let d be c\/3*(-2)\/(-6). Let g(n) = -n**2 - 7*n - 1. Let v be g(-6). Solve -f + v = -d*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 113*v. Let n(g) = -3*g**2 - 3*g + 21. Calculate n(i(j)).\nAnswer: -38307*j**2 - 339*j + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, 7.6, 4, 8\/7, 79, 0.4 in increasing order.\nAnswer: -3\/5, 0.4, 8\/7, 4, 7.6, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -2, -17, -52, -113, -206, -337?\nAnswer: -512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 50\/40959 and -91\/1665?\nAnswer: 204795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-1\/6))\/m*m)**16 assuming m is positive.\nAnswer: m**(40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 35 or 1184?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 11*w - 61. Let r be g(6). Let h(s) = -s**3 + 9*s**2 + 5. Let z(t) = t**3 - 10*t**2 - 6. What is r*h(v) + 4*z(v)?\nAnswer: -v**3 + 5*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2730 divided by 455?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -33, -3, -2 in increasing order.\nAnswer: -33, -3, -2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000150917 rounded to 6 dps?\nAnswer: 0.000151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -43*i**2 - 2*i - 6. Let b(s) = -65*s**2 - 3*s - 9. Calculate -5*b(l) + 8*y(l).\nAnswer: -19*l**2 - l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -2858 greater than -2884?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*(h*h**(-2\/5))\/h*h)\/((h**(1\/2)*h)\/h)*h**3*h*h\/h**3*h*h**5*h\/(h**5\/h)*h*h*h**1*h\/h**0 assuming h is positive.\nAnswer: h**(101\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 245845, 245833, 245813, 245785, 245749?\nAnswer: 245705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 139028317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 7:12 AM?\nAnswer: 5:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1197 and 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(-1\/14)\/r)*r*(r\/r**(-10)*r*r)\/r)\/((r\/(r*r\/(r\/(((r*r**(9\/5))\/r)\/r))*r)*r)\/(r\/r**3)) assuming r is positive.\nAnswer: r**(971\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204*t - 4267802 = -4254134 for t.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -119*-23.\nAnswer: 2737","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 630875*k*l + 32679903*k + 22*l wrt l.\nAnswer: 630875*k + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(56)\/(sqrt(8)*-2)*-5 + -5.\nAnswer: -5 + 5*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -188*i + 4*i**3 - 3*i**3 + 2 + 185*i + (0 + 3 - 4)*(-4*i**3 - 6*i**3 + 2*i**3) in the form a*i**3 + u*i + t + w*i**2 and give a.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(38)\/(sqrt(50)*5) + 4*(sqrt(304) - sqrt(19))*-1).\nAnswer: -1794*sqrt(19)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from knkkiiaqk. What is prob of picking 1 n, 1 k, and 1 q?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 228*x - 5010. Let j be q(22). Solve -4*f - 15*r + 17*r - j = 0, -3*r + 16 = f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (7 - 25) + 36 + -46\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of h**5\/20 + h**4\/4 - 3*h**2\/2 - 3*h. Let c be z(-3). Let i = c + 7. Solve s = -i*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*c - m - 0, -2 = c + m. Suppose c - 7 = -2*t + z, 4*z = -8. Calculate the least common multiple of t and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 53689 or 53677?\nAnswer: 53689","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 25 - (-7 - -3 - 0). Suppose 0 = -8*s + o - 5. Solve -s = 8*x - 7*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8930 and 29589790?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 63 = 2*h. Let o be ((-12)\/21)\/(6\/h). Solve l = -d - 9, -o*d = -5*l - 2 - 15 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36911, -35962, -35013, -34064?\nAnswer: -33115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*s - 111*s + 260*s = -552 for s.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 7 = i - 1, 0 = i + w - 8. Suppose 4*q - i = 2*o, -4*o = 2*q - 6*o - 4. Let z = -2 - -1. Sort z, q, -2 in increasing order.\nAnswer: -2, z, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2886 divided by 9?\nAnswer: -962\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = 3*y + 4 + 5, 5*y + 129 = 2*m + 92 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 1:20 AM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {y: 5, a: 2, k: 3, n: 5}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1333*d**2*y**2 - 307*d**2*y - d**2 + 2*d*y**2 - 67*d + 307*y**2 + 3*y + 1 wrt d.\nAnswer: 2666*y**2 - 614*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**1)**(1\/9))**(-36)*((u\/(u*(u**2*u)\/u*u))\/u*u**(-2\/5))\/(u**4\/u**1) assuming u is positive.\nAnswer: u**(-57\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*((((q*(q*q*q**(-6\/7)\/q)\/q)\/q)\/q)\/q)\/q)*q)\/q**(-3))\/((q\/(q**(-23)\/q))\/q**(-6)) assuming q is positive.\nAnswer: q**(-162\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 117521580, 235043155, 352564726, 470086293?\n\"Answer: -2*a**2 + 117521581*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of v**7\/70 + 43*v**6\/12 + v**5\/30 - v**4\/24 + 1997*v**3\/3 + 2*v**2 + 3044*v + 3. What is the second derivative of s(n) wrt n?\nAnswer: 36*n**2 + 2580*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -21, -211, -719, -1701, -3313?\n\"Answer: -26*s**3 - 3*s**2 + s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22123200 (base 4) to base 10.\nAnswer: -42720","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 325 - 325. Let r(g) = g**3 + 2*g**2 + 205. Is 10 a factor of r(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -0*i + 5*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of g**6\/120 - g**5\/30 + 5*g**4\/24 - g**3\/2 + 4*g**2 + 3*g. Let b(l) be the first derivative of h(l). Is 25 a factor of b(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1119 - 995. Calculate the greatest common divisor of l and 620.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1028*h**3*p**2 - 3*h**3*p - 5410*h*p**2 + 28794462*p wrt p.\nAnswer: 2056*h**3 - 10820*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 222 - 222.0221. Let i = 46.1779 - v. Let w = i + -0.7. Round w to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 10 = 5*q, -4*h + 0*q = -2*q - 12. Suppose h*i - 28 = -4*o, -2*i - 4*o = -i + 4. What is the tens digit of (-12)\/(-18)*468\/i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/936 and 15\/44.\nAnswer: 10296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34 - -265. Let m = i + -230.777. What is m rounded to two decimal places?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 1:28 PM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 + -14. Let g = 55 + x. Let w(o) = -10 - 19*o + 3*o**3 + g*o - 2*o**2 - 4*o**3 - 4*o**2. What is w(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = -2*r - 2*z - 4, -4*r + 10 = 2*z for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d = -306 - 234. Let s be 126\/15*d\/(-9). Calculate the highest common factor of s and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (52\/234)\/((-505)\/606).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 21300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-32)*-12*2. Suppose 7*k - 41 = 4*k - 2*s, z*s - 54 = -4*k. Solve -r + k = -4*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-95424)\/(-26) - 30\/195. Suppose 3*v = 8*v - 5*r - n, -3*v - 5*r = -2226. What are the prime factors of v?\nAnswer: 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1355492830 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5*s + 0)*(2*s**3 + 0*s**3 + 0*s**3) - 2*s**4 + 6*s**4 + 6*s**4.\nAnswer: 20*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (7080\/649)\/((-48)\/132)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - 2*g**2 - 3*g + 3. Suppose 4 = -2*d + 8. Suppose 3*o = 4*s + 10, 0*o = 5*o - d*s - 12. Determine t(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*t = -55*t + 68*t + 70 for t.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1228157389 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-3)\/(-6))\/(4\/8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9726153.467 to the nearest 1000.\nAnswer: 9726000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 10. Suppose 38 - h = 4*p. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -1174?\nAnswer: -3\/1174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 257717304 a multiple of 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) 4 (b) 0.4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j + 2*k = 36, j - 5*k + 24 = 2*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 26483.19l in millilitres?\nAnswer: 26483190","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2438*r**3 + 5629*r - 4858*r**3 + 2420*r**3 + 4112*r**5 wrt r.\nAnswer: 82240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z. Let r(p) = p - 2. Let g(k) = -2*k - 12. Let u(n) = 3*n + 13. Let o(j) = 6*g(j) + 5*u(j). Let t(b) = 4*o(b) - 14*r(b). Calculate y(t(x)).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 - 10*p - 13. Let u be j(-8). Suppose z = 3*d + 4*z + 3, -u*z - 9 = -3*d. Suppose -d - 14 = -5*m. What is the remainder when 7 is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000279269 rounded to 5 decimal places?\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t - t + 5*t)*(-3 + 2 + 4)*(-5*t + 5*t + 2*t**3 + 3).\nAnswer: 18*t**4 + 27*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/28)\/((-4731)\/(-640262)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/4, 0, 1\/6, 2\/13, -5.21637?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 AM and 1:02 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-45)\/(-6))\/(288\/423408) - 3\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 443 * -403\nAnswer: -178529","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1072490 divided by 46?\nAnswer: -23315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 168621 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -992, -1113, -1234, -1355, -1476, -1597?\n\"Answer: -121*c - 871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -12, 0.25, -453, -5?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hoo when three letters picked without replacement from oohhhoohoooho?\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 127460 (base 14) to base 16.\nAnswer: 9af6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence am when two letters picked without replacement from {m: 1, a: 1, b: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -208 and 0.18.\nAnswer: -207.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = -3*i + 4, b = -i - 0*i + 4 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 6*b + 130 = 0. Suppose 5*u + g = b, g = -g + 2. Solve 6 + 4 = u*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32 - 12. Is x a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -387, -767, -1149, -1533, -1919, -2307?\nAnswer: -2697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -89\/21877225 or -1?\nAnswer: -89\/21877225","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 2. Let o be q + 2*(-3)\/2. Let p = o + 3. Solve p = 4*i - 2*i + 6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187)\/((sqrt(132)\/sqrt(4))\/sqrt(3)) + (sqrt(17) - sqrt(51)\/sqrt(3))*-2 + -5)**2.\nAnswer: -10*sqrt(17) + 42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of 8*p**8\/21 + 23*p**4\/24 - p**3\/6 + 120*p**2. What is the second derivative of t(f) wrt f?\nAnswer: 2560*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (((sqrt(152) - 1*sqrt(152))*1)\/(sqrt(16)\/sqrt(162)))**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 295 is divided by ((-444)\/(-518))\/(3\/35).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 8. Suppose l*r - 2*r = 0. Let j = r - -3. What is the smallest common multiple of j and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4628 - 13700\/3. Let g = c - 62. Let z = 0.01 + 2.99. What is the closest to g in z, 2\/9, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.12, 2\/3, -0.0433 in ascending order.\nAnswer: -0.12, -0.0433, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -2\/4563901?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -340 by -4.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-28))**(4\/9)\/(c*(c*c\/(c*c*c**(-19)))\/c*c\/c**33))**45 assuming c is positive.\nAnswer: c**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a + 118?\nAnswer: 10c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 5*i + 63, g + 53 = 3*g + 3*i. Let m = g + -16. Solve 2*b - m = -13 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 2)*(-366*z + 443967 - 443967).\nAnswer: 366*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 6316*m**2 - 3*m + 6560. Let s(r) = 12630*r**2 - 5*r + 13111. Let q(f) = -5*k(f) + 3*s(f). Find the first derivative of q(j) wrt j.\nAnswer: 12620*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}