diff --git "a/data/dm_maths/full_data_1/11133_11255.jsonl" "b/data/dm_maths/full_data_1/11133_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/11133_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: 0.12 times -0.4903\nAnswer: -0.058836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 827 by 1.\nAnswer: 827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*u**6 + 6225*u**4 + 35*u**3 + 773*u**2 + 389?\nAnswer: 360*u**3 + 149400*u + 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 40 = -4*m, -z - z + m + 5 = 0. Which is the third smallest value? (a) z (b) 3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117959*f + 117919*f + 117900*f - 353777*f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(70)*-5)\/(-2*sqrt(1210) - sqrt(10)).\nAnswer: -5*sqrt(7)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/6 in 2\/3, -0.1, -2, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -5*g**3 + g**2 + 2*g - 5. Let r be o(5). Let l = r + 2217. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 5:46 AM?\nAnswer: 1:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/45*3 + (-10)\/15?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 5860?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (99*d + 72*d - 51*d)*(d + d**3 - d) - 2*d**4 + 13*d**4 + 3*d**4.\nAnswer: 134*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 4*r - 34 = 0, 0 = -7*r + 9*r + 12. Put -108, -3, n in decreasing order.\nAnswer: n, -3, -108","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 336 to the power of 1\/2, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t + 8. Let l be o(-12). Let u(k) = k**2 + 3*k + 5. Calculate u(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/5 (b) 2 (c) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 285599 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2678 - -6091. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b**2 + 6*b. Let w be g(-5). Round w to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*p - p + 2*p + 9 - 7*p - 7.\nAnswer: 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -6 + -2 - (-4 + 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 22*r**3 - 42*r**2 - 16*r. Let c(v) = 14*v + 7*v - 26*v - 15*v**2 + v**2 + 7*v**3. Determine -16*c(h) + 5*k(h).\nAnswer: -2*h**3 + 14*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -35*t**2 + 651*t + 3307. What is h(-5)?\nAnswer: -823","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t - 35. Calculate the remainder when 310\/18 - (-2)\/(-9) is divided by x(-20).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2625397 is divided by 1220?\nAnswer: 1177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from otssooooosot. What is prob of picking 1 o, 2 t, and 1 s?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 18487288 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4589, -4121, -12831, -21541?\nAnswer: -30251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1333897964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 435 and 74040567.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 12:06 PM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 77500*m**2 + 7*m + 28. Let b be (-1 - (-55)\/45) + (-38)\/9. Let y be a(b). What is y rounded to the nearest 100000?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 + 2 + 3*b**2 - 3*b**2 + b**2 + 3. Suppose -m = 4*m. Let o be j(m). Solve -o*r + 4*g = -7 - 20, -r + 18 = -5*g for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31 (base 4) to base 7.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 59. Let w = -47 + b. Solve w*u - 2*u = -12 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2258 (base 12) to base 9\nAnswer: 5205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v. Suppose 22*w - 23 = 21. Let d(f) = -4*f - 1. Let u(k) = w*d(k) - 7*m(k). Calculate u(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28826 + -28841.109. Let i = b + 0.109. Let h = 21 - i. Are 1 and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, f: 2, s: 2, u: 3, x: 1, q: 1}. Give prob of sequence fsfx.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -28396\/3, 2\/5, -12, 31, -2\/11?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*y + 2*y. Let m(c) = c**3 + 8*c**2 - 3*c - 7. What is the remainder when m(-7) is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -105.99 + 98.2. Let n = s - 0.21. Let y = n + 8.0049. What is y rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 37*f**3 - 99 + 45 + 74 + 5*f wrt f?\nAnswer: 222*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 = -3*t + 2. Suppose -2*l - t = -5*s, s - 2*s + 5 = 4*l. Solve -1 = -o - r + s, -20 = -3*o - 5*r for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 2*p**2\/15 - 21726*p\/5 + 52136\/3 = 0?\nAnswer: 4, 32585","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 75163144 to the nearest integer?\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, t: 3, q: 1, v: 1, y: 1}. What is prob of picking 3 t and 1 y?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(3 + sqrt(1573) + 4 + (1 + sqrt(1573) - sqrt(1573)) - (5 + sqrt(1573) + -2 + 3))*4)**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 4*o = 0, 3*v + 2*o - 6 = 4. Suppose v*k - 3*h = k + 30, 0 = 4*k + 3*h - 26. Which is the closest to 0? (a) -2\/5 (b) 0.1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*v**5 + 8*v**4 - 16*v**3 - 8*v**2 + 12*v = 0. What is v?\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 2 - 2 + 0 - 1622976*d + 1622969*d.\nAnswer: -7*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33203 - -230111?\nAnswer: 323320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 740 - 112 = 0. Let n = -442 + w. What are the prime factors of (16\/20)\/((-8)\/n)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -40 - -98.5. Round h to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 157\/860 + -10\/43. Let k be 2 + (3\/(-3) - 2). Is k not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 183, 176, 147, 84, -25, -192, -429?\nAnswer: -748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + -179?\nAnswer: -17e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.4 + -4.39999958. Round a to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 - 3*d + 3. Let j be h(0). Suppose -a = j*a - 456. Does 19 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = 4*y + 19, -5*o - 5*y = -9 + 34 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -2*h - 22, 9*o - 4*o - 20 = h. Suppose -2*b = 52 - 48. Put b, -15, o, -4 in descending order.\nAnswer: o, b, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-40)\/44)\/(1096\/(-4521)))\/((50\/(-12))\/5)?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.082221 to 3 dps.\nAnswer: -0.082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 4 - 22*b + 7*b - 6*b as r + v*b and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 y when four letters picked without replacement from kkkiyiyjyykkykyvyk.\nAnswer: 49\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -203.65 - 15\nAnswer: -218.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 4*i - 16. Calculate the remainder when 17 is divided by k(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19233604933 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 189529619\/22 + -8623580. Let f = -8599 - v. Find the common denominator of f and -31\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19753.3+5\nAnswer: 19758.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*l = -21*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.9 + 3. Let u = -8.1 + v. Let z = u + 6. Which is the biggest value? (a) z (b) -2\/3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3086, -6146, -9206, -12266, -15326, -18386?\nAnswer: -21446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 2 + 8. Suppose -h = -2*h + p. Let n be (h - -14 - -1) + 3. Calculate the highest common divisor of 5 and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49, -105, -161, -217, -273?\nAnswer: -329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/9)\/(10\/(-15)) - 1. Let x be (-91)\/(-117) - (-4)\/18. Put x, 2, d, 207 in increasing order.\nAnswer: d, x, 2, 207","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**2)**43)**50*((c*c\/c**(-2\/7)*c*c)\/(c\/(c\/(c*c*c*c**(3\/8)*c*c*c*c)*c)))\/(((c**(-2\/9)*c*c)\/c)\/c**(-1\/2)) assuming c is positive.\nAnswer: c**(2165503\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -24813.584 * -3\nAnswer: 74440.752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168 is divided by 43?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/11440 and 21\/530920.\nAnswer: 11680240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t = 2*t + 1325. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96624 a multiple of 316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/60*2*(-77)\/(308\/40)*62?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - -19) + -9 + (-2 - 0)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -157*s - 325. Let c(h) = 78*h + 132. Give -5*c(q) - 2*z(q).\nAnswer: -76*q - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 AM and 5:32 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2*y + 1 = -7, 2*p + 2 = 5*y. Solve 2*s - 6*s = p for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -1.28 (c) 0.029\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*f = 18*f + 20 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + 2*d + (1 + 2 - 2)*(-d + d + 2*d) - d + 3 - 3 + 8 + 8*d - 8.\nAnswer: 11*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13135, -13136, -13145, -13168, -13211, -13280, -13381, -13520?\nAnswer: -13703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 64006, 128013, 192020?\n\"Answer: 64007*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-29\/3)\/(b*b**(-21)) assuming b is positive.\nAnswer: b**(31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 37718453 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 245531?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*z**2 - 828*z**3 + z**2 - 8*z**2 + 827*z**3.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 24175 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: Is 9891319 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24 - 23 + 89*n - 602*n**3 - 89*n + 3*n**2 to the form k*n**3 + g + q*n**2 + a*n and give k.\nAnswer: -602","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(605) + 1 + sqrt(605) + 0 - sqrt(605)) - (sqrt(1125)*1)\/(-3*sqrt(9)*1))**2.\nAnswer: 188*sqrt(5) + 44261\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Divide 9183894 by 87.\nAnswer: 105562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m - 9*m - 587 = 0. Does 50 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - -100084b4?\nAnswer: 100084b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 974605 (base 15) to base 12.\nAnswer: 24b4905","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 2:54 AM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of -z**2\/2 - 5*z + 36. Let f be u(-7). Let n be (f\/(-4))\/((-2)\/20). Solve n*m + 28 - 8 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3016 to the power of 1\/2, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -311 divided by -6.\nAnswer: 311\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 848 and 3604?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2373*x + 14734. Calculate h(6).\nAnswer: 496","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (9 + -5 - 200)*-6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16 - 2*r + 10 - 21 + 6*r as z + s*r and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 654044109 not equal to 654044109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/(-9))\/((-1)\/(-3)). Let d = 3 + g. Factor -r**2 + 8*r**d + 4*r - 2*r.\nAnswer: r*(7*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*f - 9855 = -9246. Calculate the least common multiple of f and 378.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 AM and 7:14 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -1288*n**2 + 18*n + 13. Let u(l) = -427*l**2 + 5*l + 4. Calculate 4*o(a) - 14*u(a).\nAnswer: 826*a**2 + 2*a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/15 in 0.1, -1\/6, -0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*p - 287 + 238 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.123 * -252.61.\nAnswer: 31.07103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (41 + 676 - 184)*(-3*p + 0*p + p).\nAnswer: -1066*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111 + -101000010101010111001011011?\nAnswer: -101000010101010111001010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*a**2 - a**3 + 0*a**2 - 3*a - 5*a**3 + 3*a + (4*a + 0*a + 5*a)*(-11*a**2 - 6*a**2 + 6*a**2) to z*a**2 + j + v*a**3 + q*a and give v.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5401708?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 233426701 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**12\/p**(4\/5)*p\/((p**5\/p)\/p)*p*p*p\/p**6 assuming p is positive.\nAnswer: p**(31\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 185616 to the power of 1\/2, to the nearest integer?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -5 - 15. Suppose 3*d = -1 + 10. Suppose 3*y - 20 = -4*j, -3*y + s = -d*j + y. Solve 2*b + 0*i = -3*i - j, 0 = 3*b + 5*i + 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -3*q**3 + 10*q**2 - 6*q - 6. Let x(l) = 9*l**3 - 30*l**2 + 17*l + 17. Let j(g) = 17*o(g) + 6*x(g). Find the third derivative of j(a) wrt a.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r + 40 = -6*r. Suppose -600 = -22*p + r*p. Let f = -20 - -30. Calculate the greatest common factor of p and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0292 to 3 dps.\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/5 (b) 4 (c) -2\/5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -28*r**5\/3 + 55372*r**4 - 328932236*r**3\/3 + 218231788300*r**2\/3 - 554419235000*r - 493039000000\/3 = 0.\nAnswer: -2\/7, 8, 1975","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (27\/(-20))\/(-9) - 2\/(-8). What is the closest to -1 in 5\/7, m, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + -8 + (13 - 6) + -10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (50*k**2 - 4*k - 9*k - 52*k**2)*(0*k + 4 - 5 - k) - 3*k**3 - 3*k**3 + 2*k**3 to i*k + q*k**3 + a + x*k**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 660563153 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -43323167.74 to the nearest 100000.\nAnswer: -43300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = n + 12 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 48603124 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -5. Let x(i) be the third derivative of 4*i**2 + 0*i + 0*i**3 - 1\/24*i**4 + 0 - 1\/60*i**5. What is x(q)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 5*j - 11, -3*z + 4*z - 5 = 2*j. Let w = 6 - z. Solve 0*a = -a + 4*l - w, a + l - 8 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-4))\/(18251\/3650 + -5). Suppose 5*z - c = 13*x - 8*x, -1805 = -5*z + x. Does 20 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yvsvsvyrsvvsvsssvvv. Give prob of sequence svs.\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 100 and 125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 41 and 656?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124 = 3*o - 7*o. What are the prime factors of o?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.6000054 + -0.6. Round l to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-9)\/(-2))\/((-38)\/(-16) - 2). Suppose -n*w = -15*w + 9. Solve -3*c - 2 = 2*p - 12, c = -p + w for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -249\/5*k + 57\/5*k**2 - 3\/5*k**3 + 39.\nAnswer: -3*(k - 13)*(k - 5)*(k - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51728?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18081\/(-1176))\/((-36)\/(-192))?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47159659.\nAnswer: 47, 1003397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.16 - 0.04. Which is the nearest to -3? (a) 4 (b) g (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 0*w + 2*w**2)*(-5 + 2 + 2)*(-w - 5*w + 4*w)*(2 + 0 - 19*w - 22*w).\nAnswer: -164*w**4 + 8*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) -483 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-5 - (-8 - -3 - -1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -v + 3 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-35)\/(-4) - (-1 - 35\/(-20)). Suppose -g = -20*z + 16*z. Let j = -9 - -19. Solve 0 = -z*b - 3*b + 3*a + 26, b - 3*a - j = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/3 + 1)*130\/20. Solve -3 + y = -5*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to 2\/2513?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -138176, -276342, -414510, -552680, -690852?\nAnswer: -829026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 712155?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*v + 75. Let n be v*((-9)\/(-6) + -1). Find the second derivative of -20*o + n*o - o**4 + 10*o wrt o.\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-26) - (-3390)\/(-390)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -403*b**2*h - 2*b**2*j - 49*b*h*j - 3*b*j - 125*j wrt h?\nAnswer: -403*b**2 - 49*b*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 - 12. Find the first derivative of 135 + w + 47*w**2 + 59*w**2 - 34*w**z wrt w.\nAnswer: 144*w + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -4*n + 19. Suppose 60 = -0*w + 4*w - 3*p, 0 = -2*w - 2*p + 30. Let a be r(w). Let g = a + 120. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 6*r**2 + 2*r + 12. Let z be f(-9). Suppose z*q = 482*q - 8. Solve -q*s = 20, 2*c - s = 4*c + 9 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000189599 to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3193058.\nAnswer: 2, 11, 145139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x - 3. Suppose 0 = -2*w - 13 + 3. Let o be f(w). Suppose -3*k + 4*g = g - 159, 2*k + g - 94 = 0. What is the greatest common factor of o and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + p + 230 = 260, -69 = 5*i - 3*p for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 5*b = -41, -2*b + 62 = 4*a + a. Suppose -16 = -8*p + a*p. Let j be 0\/p*2\/4. Let w(u) = u. What is w(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.41 - -2.51. Let z = r + -4.1. Which is smaller: -0.11 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23583, -23617, -23713, -23901, -24211, -24673, -25317, -26173?\nAnswer: -27271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 w when three letters picked without replacement from aaaaaaawaaaa.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -180 + 187. Calculate the highest common divisor of p and 203.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 8897, 17527, 25889, 33983, 41809, 49367, 56657?\n\"Answer: -134*a**2 + 9032*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 53560044?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -5*n**2 + 4*n**3 + 4 + 0 + n + 0. What is the remainder when a(3) is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 131582625 - 1?\nAnswer: 131582624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-8)\/3 + 1)*-3. Find the second derivative of -6*d - o*d**4 + 2*d**4 + d wrt d.\nAnswer: -36*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002558 rounded to 7 dps?\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9672*v - 14769*v + 7338*v.\nAnswer: 2241*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 equal to 4837?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.5 + 5. Let y be (20\/(-182))\/(3\/14). Let s = -2\/13 + y. Put z, s, 0.3 in increasing order.\nAnswer: s, z, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 110.470017684 - 110.47. Round y to 7 decimal places.\nAnswer: 0.0000177","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that v**3\/4 - 4*v**2 - 17*v\/4 = 0.\nAnswer: -1, 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (-3 - -10 - 10) - -3?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 0*s - 5 = 0. Let n = 7 - s. Let u(r) = 2*r - 1. What is u(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 83, 5, 34.\nAnswer: 5, 34, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34230?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11135.\nAnswer: 5, 17, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7356087682?\nAnswer: 2, 7907, 465163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 + 1)\/((-3)\/15). Suppose 0 = 4*y + 3*x + 7, 2*x + x + 15 = 0. Let s be (0 - -2)*y\/1. Solve s*r - 1 + 21 = 0, -2*r = b + d for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -163, 5, -37, 15 in ascending order.\nAnswer: -163, -37, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/4 of a hour?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -36*h**5 + 1134*h**4 - 530*h**3 - 130478*h**2 - 64490*h + 36000 = 0. Calculate h.\nAnswer: -9, -5\/6, 1\/3, 16, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nb when two letters picked without replacement from {n: 4, b: 2, e: 2, y: 2}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13\/84 or 1?\nAnswer: 13\/84","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1)**(-41)\/(g*g\/((g**(-1\/3)*g)\/g)*g*g)**(11\/3)*(g**1)**(-2\/39)*g*g**(1\/4)\/g*g\/((g\/(g*g\/g**0))\/g) assuming g is positive.\nAnswer: g**(-25127\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*s**3 + 11*s + 2*s**2 - 903*s**3 - 11*s + 2*s**2 as j*s**3 + k*s + h*s**2 + t and give j.\nAnswer: -893","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -5*s**3 + 6*s**2 + 6*s - 6. Let f(w) = w**3 + 7*w**2 + 6*w - 1. Let m be f(-6). Let z(u) = -u**3 + u**2 + u - 1. Give m*v(p) + 6*z(p).\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -21, -76, -4.\nAnswer: -76, -21, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2318004 and 108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5317?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15\/44 - -1\/132. Let p(d) = d**3 + 4*d**2 - 4*d + 7. Let f be p(-5). Is f at most s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 28805536790.7 and -8.\nAnswer: 28805536782.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -419*a**3*m**3 + 546*a**3*m**2 + a**2*m**3 + 13*a**2*m**2 - a**2*m + 2*a*m**2 - 6733 wrt a.\nAnswer: -2514*m**3 + 3276*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/3 (b) -0.5 (c) -4 (d) -90\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of -c**4\/6 - c. Let q(v) = -14*v - 2 + 9 + 54*v - 18*v - 18*v. Calculate r(q(s)).\nAnswer: -32*s**2 - 112*s - 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 360 and 2484567?\nAnswer: 99382680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/(280\/(-93312)) + 4\/(-14). Suppose 5*j - 4*i - 8177 = 0, 2*j - 5*i + g = 4930. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142 is divided by 37.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12229*j - 5092*j - 2487*j + 17123*j to v*j + c and give v.\nAnswer: 21773","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -2 - (8 + (31 - 24))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00630334764 rounded to 5 dps?\nAnswer: 0.0063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 21 = -k + 2*n, k - 2*n + 16 = 0. Let b(p) = 101 - 101 - 5*p**2 + 5*p + p**2. Let s(f) = 5*f**2 - 6*f. Let h = -176 + 171. What is h*s(i) + k*b(i)?\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of -k**5\/60 - k**4\/2 + 7*k**3\/3 - 3*k**2. Let p be m(-13). What is the units digit of (22 - (-4)\/4)*p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -ba1c - -6?\nAnswer: -ba16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3*d. Suppose 3*w = 3*z - 30, 4*z - 12 = z. Let b be (w\/(-4))\/((-3)\/(-4)). Let h(m) = -8 + 8 + 3*m + b*m. Calculate h(l(r)).\nAnswer: 15*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -1259.682249 to the nearest one hundred.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*n - 12 = -47*n + 138 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7855 is divided by 98?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 10 = 0, -c - c - 9 = 5*s. Let d = -3 - s. Let w = 49.8 - 50. What is the second biggest value in 4, d, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1388*a = -2*h + 1390*a - 4, 4*a = 12*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -234594, -469196, -703798, -938400, -1173002?\n\"Answer: -234602*p + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2*r = 172, 2*r + 3*r + 15 = 0. Let k be (-1 - -2)\/(g\/84 + 1). Let o = 197 - k. Is o a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.09 and 17.\nAnswer: -1.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -665.2891964 rounded to two dps?\nAnswer: -665.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9.4 - -1.5. Let v = -44.1 + q. Let c = 52 + v. Is c > -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 + 17*o + 33. Let n be i(-15). Let b be 100\/45 - 4\/18. Is (n*(-2762)\/(-24))\/(b\/8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/(-2))\/((-116)\/(-8)). Let r = t + -75\/116. Let m = 1 + -3. Which is the closest to -0.1? (a) 0.5 (b) m (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7907*k - 58509 wrt k.\nAnswer: 7907","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/1 - (43 - 37). Let a(o) = -o**2 - 6*o + 1. Let i be a(-6). Sort -3, n, i in descending order.\nAnswer: i, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32 (base 10) to base 9\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/7*q**3 + 0 - 128\/7*q + 32\/7*q**2 = 0 for q.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*h + h - 4*h)*(66*h - 25*h - 2*h) + h**2 + h**2 - 4*h**2 in the form d*h**2 + n + p*h and give d.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.09527794 to two decimal places.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2)*(4*r - 4*r + r) + (0*r - r - r)*(1 + 0 - 2) + 4 - 4*r - 4 + r + 0*r - 2*r + 5*r - 2*r - r.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 111 = 27. What is the remainder when m is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -174*z**3 + 15*z**2 + 13*z + 33. Is w(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 362*g**2 + 25748*g - 280*g**3 - 12873*g - 12875*g wrt g.\nAnswer: -1680","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 183572.\nAnswer: 2, 45893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7790029753 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -86.2574.\nAnswer: 86.2574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 610892012.\nAnswer: 2, 113, 167, 8093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 412 - 275232?\nAnswer: -274620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 32.77849 millennia?\nAnswer: 393341.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (77 - 77 - 29*g)*(4 - 5 + 0).\nAnswer: 29*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 - 2)*(113 - 17 - 18)*(-3 + 3 + t).\nAnswer: -546*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 - 5*d + 1. Suppose -11 = 3*i + 2*h - 0*h, -3*i - 3*h = 9. Let j be z(i). Let m be 65\/5 + 6\/(-3). Solve 2*c = m - j for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/204)\/(60\/80)\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.4 + 0.6. Let u = 19 + -17. What is the closest to -1 in 2\/11, c, u?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4839320 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -299 * -5.\nAnswer: 1495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((24\/(-8))\/(-12))\/((-18)\/16).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40\/(-12)*(0 + 1107\/(-6))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of 2*q**5\/3 + 143*q**2. Let x(o) = 3*o. Give x(z(y)).\nAnswer: 120*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/7? (a) 4 (b) -0.063 (c) 3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75351302 is divided by 12679.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 75*r**3 - 6355*r**2 - 1700*r.\nAnswer: 5*r*(r - 85)*(15*r + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 83678348 to the power of 1\/3, to the nearest integer?\nAnswer: 437","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -548*d + 108 = 538*d - 1088*d - 6*b, -4*b + 214 = -3*d for d.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1aa (base 12) to base 5.\nAnswer: -2044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -169*f + 3. Let k(j) = -286*j + 5. Let u(i) = -3*k(i) + 5*v(i). Let o(n) = 17*n + 9. Let x(l) = -8*l - 4. Let z(m) = -4*o(m) - 9*x(m). Give u(z(b)).\nAnswer: 52*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 PM and 9:57 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110*x**3 + 218*x**3 - 105*x**3.\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 14432 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 + 17*q + 51. Let f be h(-14). Let l(b) = -5*b + 5. Let u(w) = -10*w + 11. Give f*l(k) - 4*u(k).\nAnswer: -5*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5985 - -6374.9. Round m to the nearest 10.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 903 - 900. Which is the nearest to 0.1? (a) j (b) 4 (c) -1 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 + 13. Let d = j + 0. What is the tens digit of (-51)\/18*d*2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20900255 - 48290646.\nAnswer: -69190901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/3)\/((306\/(-17))\/(-54))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4\/45 - -2\/9. Let o = 0.9 + -1. What is the nearest to o in z, -2\/7, -4\/9?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 86284, -44?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 3604127 = -1675873. Suppose 87*f - 82*f = s. What is f rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of 1\/2*o**2 + o**3 - 2 + 0*o. What is the second derivative of m(s) wrt s?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -10*x. Let a(k) be the second derivative of -k**7\/2520 - k**4\/4 + 2*k. Let y(q) be the third derivative of a(q). Determine w(y(s)).\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 12*o - 1. Let x be h(1). Let u = x - 8. Let l = -90379 - -90382. Calculate the remainder when u is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 577616 is divided by 52.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5138 - -4?\nAnswer: 5143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 6*p**2 + 8*p - 22. Give u(6).\nAnswer: 242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -135 + 141. Let q be ((-3)\/(-2))\/(3\/6). Solve -r*v = -q*v - 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k**(2\/31)\/k)\/k))\/((k*k**(2\/25))\/k*k*k)*k**(-6)*k**(-3\/20) assuming k is positive.\nAnswer: k**(-16413\/3100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4 + -1 + sqrt(475))*-2)**2 - (-1 + 0 + sqrt(475) - (1 + sqrt(475) + -1))**2) + 5.\nAnswer: -200*sqrt(19) + 2004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 12 = -4*y + 74, 3*f = -y + 12. Let k be 1*9 - (0 + 1). Suppose 3*d + 3*g - 2*g - y = 0, 0 = d - 4*g + k. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**(-1\/19)*(j**(-9)*j)\/j*j*j**(-2\/61)*j**(-40) assuming j is positive.\nAnswer: j**(-54572\/1159)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1212 bigger than -1209?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*p + 3*p + 4*p - 3 - 1 + p + 1 + (1 + 1 - 1)*(0 + 0 - 2*p) - 2*p + p + 0*p in the form k*p + y and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 283486 divided by 3\nAnswer: 283486\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/2*(-14 - (-20)\/5). Suppose -q = -0*n - n - 3, k*q - 3*n = 25. Solve -q*o = -5*o - 6 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 - v**2 + v + 1. Let k(i) = 14*i**3 - 12*i**2 + 12*i + 12. Give 60*h(u) - 5*k(u).\nAnswer: -10*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = -23*j + 102. What is the third derivative of 28*o**3 - 3 - 4*o**2 - 2*o**3 + 37*o**3 - j*o**3 wrt o?\nAnswer: 342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 66 - 142262?\nAnswer: -142163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 2*k = 20, -3*k + 87 = 5*f. Suppose x - 270 + 768 = 3*c, 3*x + 339 = 2*c. What is the greatest common divisor of c and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 21. Suppose 2*n - 3*c + 9 = 0, 0*c = 3*n - 3*c + 6. Let s be 7\/k + 1 + (-2)\/n. Solve 2*z + j + 1 = 3, s = 3*z - 4*j + 19 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d - 3. Let z be ((-50)\/(-4))\/(12\/(-8))*-3. Let w(f) = 5*f - 130. Let l be w(z). Determine k(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -72*o**2 + 28*o - 28. Let x(n) = -13*n**2 + 5*n - 5. Let j(h) = 5*l(h) - 28*x(h). Let k(g) be the first derivative of -g**3\/3 + 2. What is k(j(w))?\nAnswer: -16*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/((x*x\/x**(-5))\/x))\/x**5)**(-13) assuming x is positive.\nAnswer: x**130","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/164 and -34\/1189.\nAnswer: 4756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3\/8 (b) 225 (c) 0.1 (d) -0.2417\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1132148.\nAnswer: 2, 383, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14233159, 14233155, 14233149, 14233141, 14233131, 14233119, 14233105?\nAnswer: 14233089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 - 15. Let t be a + 26247*-1*18\/(-27). Round t to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*i + 5462 - 10*i + 20*i - 5294 + (-2 - 4 + 5)*(3*i + 0*i - 2*i) to q + p*i and give q.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d and 1 b when four letters picked without replacement from {d: 4, h: 2, b: 1, k: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 280473.05 + -65.\nAnswer: 280408.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + 5 + -1 - 5) + 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 459.9 - 463.6. Sort c, -1\/12, 0.2.\nAnswer: c, -1\/12, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12830 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-43 - 45)\/(-5 - -1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rzuooudozzkoooouk. What is prob of picking 2 u and 1 z?\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-1\/2))\/f*f**(6\/11)*(f**(1\/3))**43 assuming f is positive.\nAnswer: f**(949\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 17 = 18*g - 21*g, g + 15 = 5*a. Suppose 3*p = 28 - 391. Sort p, 4, g in decreasing order.\nAnswer: 4, g, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rveriiffgivr. Give prob of sequence efr.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 38 + 370 = 0. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1681*r - 1867*r + 5 - 4.\nAnswer: -186*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2 + 88*r - 52*r - 3*r**3 - 30*r.\nAnswer: -3*r*(r - 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1260488*z + 1260734*z - 5658 = 0 for z.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 + y**2 - 8*y. Let m be ((-615)\/132 - (-6)\/8) + 3\/(-33). Determine x(m).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2099211 - 32*w**3 - 4541508 + 11778620*w + 36*w**3 - 8294723 + 3143086 + 13732*w**2 = 0.\nAnswer: -1717, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23 - 160\/7. Let m = 1.68 + 2.32. What is the closest to -0.1 in a, m, -7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39094966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2921 > 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c**3 - 179*c**2 + 451*c + 277. Let l be u(-92). Which is smaller: l or 1100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 + 44. Suppose 5*k = -7 - w. Let y = 116 + k. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of -3*o**2 + 0*o + 1\/60*o**5 + 0*o**4 + 0 + 0*o**3. Let p(g) = 2*g. Determine p(m(t)).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -197118 = -4108*n + 32930 for n.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 23 or 51150?\nAnswer: 51150","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191 - 374 = -34*w - 55. Solve 0 = -29*b - w + 44 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of -a**5 + 2*a**3\/3 + 99*a - 44. Find the first derivative of p(m) wrt m.\nAnswer: -20*m**3 + 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10004786?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -31*h - 895. What are the prime factors of d(-35)?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*x**2 + 1535069*x - 3727769?\nAnswer: -6*x + 1535069","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, y: 7, b: 9}. Give prob of picking 3 b.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7.058 and -2.084?\nAnswer: -14.708872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -9*y - 1. Let t be l(-1). Suppose -28 = 7*a - t*a. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 1 - 9 = 0. Is (151 + l)\/(2\/2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 425572823 != 425572823?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -866 + 8?\nAnswer: -859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5795, -2588, 6117, 23068, 51013, 92700, 150877?\n\"Answer: 458*r**3 + r**2 - 2*r - 6252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 2*i = -26, 3*i + 4 = -3*b + 64. Suppose -b*d + 32*d = 5950. Does 23 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 5:20 AM?\nAnswer: 12:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 673*j**2 - 2*j - 2. Is z(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11269\/48945 + 2\/3765. What is the second smallest value in d, 6, -1\/6?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107311 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 13067?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -7*v - 11. Let o be p(-5). Let h(q) = 32 - 9*q + 41*q - 44*q**2 + o*q**2. Let s(m) = 3*m**2 - 5*m - 5. What is -5*h(r) - 32*s(r)?\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, q: 5, v: 2, f: 2, w: 6, y: 1}. Give prob of sequence yv.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 46 - (-9 + 8 - -57)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -2*a - 5, -4*n = 2*a - 11 + 19. Let f be (-21 - -4)\/1*a. What is the highest common factor of 17 and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e90 + -3?\nAnswer: e8d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*b - 228 = -98*b. Suppose -126 = -5*j + 324. Suppose 4*n - 3*a - 321 = 0, n - 6*a - j = -b*a. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -43\/10 (b) 203 (c) -4 (d) -1 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -3*y + 473. Give i(156).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 321 is divided by 41?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - 27*y**2 + 46*y + 262. Does 94 divide z(27)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(98) + 0)**2 + (0 + sqrt(242) - (4 + sqrt(32))) + (-5 + -3 + sqrt(200)*1 + sqrt(200) + -1)**2.\nAnswer: -381*sqrt(2) + 979","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3218840 divided by -8?\nAnswer: -402355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -26317758 and -26317758 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -7137 divided by 5?\nAnswer: -7137\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from bbugtuttbbtbbtbbtbbt?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, b: 1, t: 2, n: 2, y: 1, f: 2}. Give prob of picking 1 n and 1 f.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -5 + -2 + 0 + 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*y - 21*y = -3*j + j - 20, -12*j + 3*y = 57 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 385 = 181. Suppose 4*m + 4*r - 1344 = 0, -5*r - 717 - d = -3*m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + 45\/(-10))\/(135\/(-20))?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5 = -f + 26, 4*r - 63 = -5*f. Differentiate -15*j + f*j + 0*j**2 - 1 + 3*j**2 with respect to j.\nAnswer: 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -1. Let j(s) = -9 + 9 - s. Let u be j(-2). Solve -p - 11 = -2*p + 3*n, -3*p + u*n + 19 = d for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-48))\/((-2)\/(-8))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -11. Let q = 10.1 - r. Suppose -6 = -t - 2*t. Which is the biggest value? (a) 0.2 (b) t (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3953 is divided by 26?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7114 + -7111. Which is the closest to -0.13? (a) h (b) -3 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-6) + 2\/3. Let c = -69 - -70. Find the common denominator of 14\/16 - o\/c and 77\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 521 - -933. Suppose 2*q - p = -512. Suppose 5*i - 2*w + 0*w = q, -w = 5*i - 462. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1048 - 15706\/15. Find the common denominator of -23\/30 and v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/4)*(g\/(g\/g**(1\/2)*g))\/g)**(-37) assuming g is positive.\nAnswer: g**(185\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 f when two letters picked without replacement from {t: 1, f: 1, c: 1, p: 1, j: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.03 - -0.03. Let m = 2742\/35 - 807\/10. Let v = m + 269\/126. Sort z, -1, v, -0.1.\nAnswer: z, -1, v, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 to the power of 1\/2, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**2 + 52*h - 56. Let w be v(-27). What is the common denominator of ((-44)\/(-1056))\/(w\/100) and 41\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 + 111*f**2 + 827*f - 1331. Give o(118).\nAnswer: -1213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34539 and 4260207?\nAnswer: 1191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -37 + 83. Let y = k - 39. Solve -36 = 2*r - 5*v - 11, r + 4*v = y for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-24) + 235963\/(-29556). Let x be 0 + 8\/(-4926)*7. Let j = x - b. Calculate the common denominator of 7 and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (144 - 144 + 6*l**2)*(-5*l + 22*l + 12*l + (4 - 4 + l)*(-1 - 2 + 5)).\nAnswer: 186*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 379*s - 1429?\nAnswer: 379","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.14 + -0.75. Let z = -0.2 - -1.62. Let h = z + n. What is h rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2 + 150*z + 153.\nAnswer: -3*(z - 51)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 25*c**2 + 2. Let r(j) = -424*j + 1273*j - 431*j - 431*j. What is r(l(v))?\nAnswer: -325*v**2 - 26","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 - 8*h**2 + 7*h. Let t(r) = -r**2 + 2*r + 7. Let u be t(0). What is x(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0429 + -13.0429. What is the third biggest value in -4, o, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, 31 in decreasing order.\nAnswer: 31, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) 97 (c) -3\/2 (d) -39 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*k + 6 = 18*k. Let n be (201\/k*4)\/(1*-2). Let y = -49 - n. What is y rounded to zero dps?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.265 - 0.205. What is the closest to -1 in -0.3, 0.9, b, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 647 = -15*c - 395. What is the greatest common factor of 12096 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1163.2 - 1166.2. What is the third smallest value in 0.2, -88, d, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208079 is divided by 83.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*a + 1695 - 337. Let o = -413 + a. Round o to the nearest 10.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.21 in -3, 65662, -0.01, 1?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 120, 127, 146, 183, 244, 335, 462, 631?\n\"Answer: h**3 + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**17\/(m\/m**(-16)*m*m) assuming m is positive.\nAnswer: m**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000009274 to seven decimal places.\nAnswer: -0.0000093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g**2 - 19082*g + 19082*g. Let m(s) = -1. Let i(u) = -121*u - 11. Let h(b) = -i(b) + 11*m(b). What is p(h(v))?\nAnswer: 29282*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/21072 and 65\/358224.\nAnswer: 358224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -3*o - 1. Let g(q) = -14*q + 66. Let r be g(5). Let l(u) = 6*u + 2. Give r*l(a) - 7*c(a).\nAnswer: -3*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 257 + 22*n**2 + 249 + 8*n**3 - 506 + 3*n**3.\nAnswer: 11*n**3 + 22*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3463 + 71*k + 3462 + 59*k.\nAnswer: 130*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -7*a**2 - 89*a - 5. Let z(d) = 20*d**2 + 265*d + 14. Calculate -17*f(o) - 6*z(o).\nAnswer: -o**2 - 77*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4*(-4)\/8 + 2. Let i(o) be the third derivative of z + 0*o**3 + 0*o + 11\/60*o**5 - 1\/12*o**4 + 3*o**2 - 3\/40*o**6. Let i(w) = 0. What is w?\nAnswer: 0, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*p - 11*p + 4*p + 2 + 3 to the form c*p + i and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 776?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 564766669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -19*i**2 + 17*i + 5. Let c(w) = -6*w**2 + 6*w + 2. Give 11*c(p) - 4*o(p).\nAnswer: 10*p**2 - 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 57731 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 190, -0.1, 2, -2\/53, -5, -4, 7.\nAnswer: -5, -4, -0.1, -2\/53, 2, 7, 190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 50 - 35. What is the highest common divisor of 195 and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 3:11 AM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 171 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1724 + -1724.4. What is the nearest to -1\/5 in -2, m, -8\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 + 10 = -l. Suppose 0*y = 3*y. Suppose f - 1 - l = y. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 AM and 11:54 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 16352867 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from awlwwlwwwwvrvwdvr. What is prob of sequence wa?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2437.03 + -2423. Let z = h + -14. Put -0.5, -2, z in ascending order.\nAnswer: -2, -0.5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 13) to base 11.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*p**6 - 3982*p**5 + 4*p**4 - 10*p**2 + 16*p + 3 wrt p?\nAnswer: -240*p**3 - 238920*p**2 + 96*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 11258400 to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 - 6*n - 1. Let r be o(9). Let i = r + -8. Let v(h) = -i*h - 17*h + 52*h - 15*h. Let a(b) = 14*b**2 + 3*b. Determine v(a(s)).\nAnswer: 28*s**2 + 6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/16*104\/130)\/((-3)\/(-12))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuyywcwyucujwjjj. What is prob of picking 3 u?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21056 - -23532. Calculate the greatest common divisor of 4 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = -o + 9, 10*t - 11*t - 4*o = -14 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**2\/3 + 129476*w\/3 + 11390230 = 0. Calculate w.\nAnswer: -64473, -265","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1314 and 175851.\nAnswer: 231068214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 4*s**2 - 3*s - 5. Let w(v) = 5*v**2 - 4*v - 6. Let x(q) = q**3 - 8*q**2 + q - 5. Let b be x(8). Suppose 2*m + 7 + b = 0. Calculate m*w(u) + 6*o(u).\nAnswer: -u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1366.1 + 1366. Which is the biggest value? (a) 28 (b) g (c) 4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-56)\/112 + 245\/42.\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 129402 = 2256606. Suppose 3*b - 173992 = 7*b. Let h = b - m. Round h to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2100 and 108?\nAnswer: 18900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 2*n + 405 = 0, 0 = 3*t - 0*n - 4*n - 217. Suppose 3*p - p + t = l, 5*l + 4*p - 423 = 0. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = -5*s - 5*q, 31 = -2*s + q + 77. Suppose 66*t - 162*t = -38*t - 348. Solve -5*g + 10 = -m, -g + m = t*m + s for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2142)\/1785*(-68)\/51.\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w - 7*w**2 - 1557*w**3 - 3*w + 2*w**4 + 1558*w**3 + 26 + 2*w to p*w**4 + a*w + t*w**3 + z*w**2 + f and give f.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (14\/(-18))\/(((-88)\/(-72))\/(-11))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ryir when four letters picked without replacement from riyirirrvrvinirtyyv?\nAnswer: 25\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 155115345 to the power of 1\/2, to the nearest integer?\nAnswer: 12455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 take away -474?\nAnswer: 476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 102 + 135. Which is greater: s or -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31 + -30.8. Let k = -12.88 + 14.88. Which is the third smallest value? (a) 0 (b) f (c) 21 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -16, 37, 0.2, 2, 0 in increasing order.\nAnswer: -16, -1, 0, 0.2, 2, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, a: 1, o: 1, c: 1, u: 2, x: 1}. Give prob of sequence uq.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1562, -5, 1, -7519, 3 in increasing order.\nAnswer: -7519, -5, 1, 3, 1562","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13663 = 24*z - 1553. What is the first derivative of 646*g**3 - 98 - 1228*g**3 + z*g**3 wrt g?\nAnswer: 156*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 96884110 to the nearest integer?\nAnswer: 9843","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14990612 is divided by 10317?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 258870 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4562 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - -1. Let q = 19 + -13. Calculate the highest common divisor of c and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 0)*(-27*f**3 + 13*f**3 - 41*f**3).\nAnswer: 110*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 2*d + 19 = 0, 148*v - 146*v + d = 12 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -3\/1393 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 60*f**2. Let m be u(1). Suppose -4*p + m = -28. Suppose 0 = 19*q - p*q. Solve 2*h + 4 = -q*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5\/16 (b) 4\/21 (c) 0.12 (d) 455\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2676 - -1368. Is 20 a factor of n\/(-21) + 6\/(-21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + (3 - 0))\/((-4)\/20). Let s be (-31)\/w + (-1)\/5. Let t = s - -38. Calculate the greatest common divisor of 33 and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -524, -25, 0.3, -0.06?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 431*q + 3112. Calculate l(8).\nAnswer: 6560","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1033 to two decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6, -5.941, 3\/139, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -6767.73293 to one dp.\nAnswer: -6767.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2082569 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 50*g**3 + 5*g**2 + 81*g**3 + g + 73*g**3 - 5*g**2 as c*g**3 + p*g + m*g**2 + z and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -4*n + 19, 3*n + 2 = 8*n + k. Let f(v) = -6*v**2 - 7*v - 10. Let g(c) = -4*c**2 - 5*c - 7. Let r(z) = 5*f(z) - 7*g(z). Give r(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 4*p**2 - 4*p - 9. Let z be n(-3). Suppose 32*m = z*m. Suppose m = 5*a + 2*j + 1, 0*a + 3*j = 3*a + 9. Put 5, a, 2 in descending order.\nAnswer: 5, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.12 and -730.\nAnswer: 1547.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -6 - 30*o**2 + 29*o**2 - 2*o**3 - 2 - 6*o. Let x be h(-2). Calculate the greatest common factor of x and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + -11 - 11 - -11?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 85*j + 1106. Let l be h(-13). Which is smaller: l or 57\/44?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -270? (a) -0.23 (b) 0.4 (c) -2 (d) -4 (e) 5.54\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -13*b**2 + 43*b - 3. Let w be t(3). Solve 0*c - w = 3*c - 5*k, -c - 3 = -4*k for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1805 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 18, 35, 74, 141, 242?\nAnswer: 383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -55*k**2 - 880*k. Let l be r(-16). Factor -4\/11*i**2 + 4\/11*i**4 + 2\/11*i - 2\/11*i**5 + l*i**3 + 0.\nAnswer: -2*i*(i - 1)**3*(i + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h. Let c(s) be the third derivative of s**4\/24 + 13*s**2. What is 3*c(y) - 2*m(y)?\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + 25*k**2 + 49*k + 73. Let p be w(-23). Solve 13 = -p*r + 1 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -470*o + 2*t = -465*o - 426, 0 = -o + 2*t + 82. Suppose -72 = -3*r - r. Calculate the lowest common multiple of o and r.\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z**3 + z**2 + 9*z - 4. What is the tens digit of r(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -371*c + 365*c + 126. Calculate the remainder when 146 is divided by c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -75, -68, -57, -42, -23?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 352 and -0.5.\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7844011 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 - w + 2. Let t(m) = -3*m**3 - m**2 + 2*m - 8. What is -t(h) - 3*v(h)?\nAnswer: 3*h**3 - 2*h**2 + h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3472, 8842, 14212, 19582?\nAnswer: 24952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, -0.0145, -0.5?\nAnswer: -0.0145","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 - -0.12. Let u = m + 0.08. Let t = -0.2 + 0. Which is the smallest value? (a) u (b) -1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2392.215 rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of -47\/12*n**5 + 0*n + 0*n**6 + 0*n**4 + 20*n**2 - 47\/70*n**7 + 0*n**3 + 0. What is the third derivative of i(c) wrt c?\nAnswer: -3384*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 174. Suppose 8*a + 126 - c = 0. Solve -6*x + 12 = -a for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 AM and 4:38 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llllllaallalaall. Give prob of picking 1 l and 1 a.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*p + 17369 + 10310 = -97459. Is 24 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 8:05 AM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -61946 >= -61943?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - -3 - 114\/10*470\/282 - 11?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -3*s + 14. Let p be c(-9). Suppose -3*d + 154 = -p. Is d a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -16*p**3 + 345*p**2 + 1373*p + 52. What is g(25)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -40 - -38.87. Let t = -1.382 - j. Let k = 0.391 + t. What is k rounded to two decimal places?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1807822440 to the power of 1\/2, to the nearest integer?\nAnswer: 42518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 + 6*h**2 + 7. Determine z(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3444+-139025\nAnswer: -135581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9055, 36198, 81503, 145024, 226815, 326930, 445423?\nAnswer: 582348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -27 and -6?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 19*b**2 - b + 1. Let l(o) = -o**3 - 7*o**2 - 8*o - 6. Let w be l(-6). Let x = -5 + w. Is h(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34023438473 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {x: 3, j: 2, q: 3}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of -s**4\/24 - s**3\/3 - 7*s**2. Let a be z(-3). Let o = -3 + 2.6. Put o, a, -4 in descending order.\nAnswer: a, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2635?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51, -82, -181, -384, -727, -1246, -1977, -2956?\nAnswer: -4219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000108518786 to 7 decimal places.\nAnswer: -0.0000109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 126 - 120. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -108.3 + 108. Which is the biggest value? (a) 5 (b) 35 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b + 0 + 0*b - 5*b + 2*b**3 - 2 as q*b + k*b**3 + y + u*b**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 13*i + 8*i - 53*i + 15*i + 13*i. Let t(r) be the third derivative of r**5\/15 - r**2. Determine t(k(w)).\nAnswer: 64*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((v*v**(-3))\/v)\/v)\/v**(-5)*v**(-6\/7)\/v*(v\/(v*v\/(v**(-11)*v)*v*v))\/v)**14)**(1\/51) assuming v is positive.\nAnswer: v**(-208\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum -83 and -1582.7622.\nAnswer: -1665.7622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v - 19 + 169 = 0. Solve -6*c - 18 = -v*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 4*d + 4 = 0, -4*c + 4 = -11*d + 10*d for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 165 divided by -16\nAnswer: -165\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -849 - -858. Suppose 2*n = t*n - 5005. What are the prime factors of n?\nAnswer: 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -469, -1886, -4241, -7528, -11741?\nAnswer: -16874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 - (14 + 4) - (1 - -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.12464 + -2229543.\nAnswer: -2229541.87536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -493453 (base 10) to base 14.\nAnswer: -cbb89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 956 is divided by 320.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(2\/7)*z**(-3\/5)\/z*(z*z**(2\/5)\/z)\/(z**(-1\/3)*z) assuming z is positive.\nAnswer: z**(-166\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 374 and 884?\nAnswer: 9724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -197, -169, -93, 55, 299, 663, 1171?\n\"Answer: 4*h**3 - 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 AM and 7:31 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 11 - 0\/(-2) - 0. Let i = -14 - -6. Let l = i + g. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*l**2*r**3 - l**2 + 75*l*r**3 + 38107*l*r + 8*r**3 wrt r?\nAnswer: -18*l**2*r + 450*l*r + 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 175 + -173. Let s(h) = 2*h**2 - 5*h + 6. Let i be s(z). Solve 15 = b - o + i*o, -10 = -3*b - 2*o for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1345773 and 7293.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**4\/5 + 236*h**3\/5 - 8854*h**2 - 3776*h\/5 + 707808\/5 = 0. Calculate h.\nAnswer: -219, -4, 4, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3*w = -50. Suppose 0 = -5*g - w, 8 = m - 3*g + g. Put -13, m, -3 in descending order.\nAnswer: m, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 50*j - 15. Let s be m(-5). Let n = -151 - s. Suppose 8*t = 142 + n. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 235 - (-54 - -81 - -88)?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-5))\/((195\/(-52))\/15). Let l = -8235 - -41199\/5. Suppose l*j**2 - 12\/5*j**4 - 12\/5 - 4\/5*j**5 - 4\/5*j + w*j**3 = 0. What is j?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 277332917.\nAnswer: 17, 16313701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 9*y - 72. Suppose 2*d = -3*d - 65. Let f = y + d. Solve 4*o - 4*a + 9*a = 5, -5*a = -f for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 749?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 + 9*m - 1. Let w(f) = f. Give v(p) - 2*w(p).\nAnswer: -p**2 + 7*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-55)\/(-1)*(-748)\/(-2057)*14\/(-8)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 570 and 65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 775 - 763 = 0, 5*q - b = 183. What is the remainder when 752 is divided by q?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 76 and 209.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/14*(-16)\/32.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 285 divide 26111288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, -0.01, -15?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 + 9*q**2 + 7*q - 3. Let i(o) = -o**3 + 12*o**2 - 13*o + 14. Let j be i(11). What is y(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwwgggwwwggggwgwg. Give prob of picking 1 g and 1 w.\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100011000011 - 100?\nAnswer: -100011000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 l when two letters picked without replacement from {d: 4, u: 8, l: 1, m: 5}?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2863 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 6. Let a(o) = -3 - x*o + 0*o + 3. Let f(i) = 14*i. Let d(n) = 5*n. Let j(k) = 8*d(k) - 3*f(k). Calculate a(j(c)).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13*j**2*t**4 + 53809*j**2 + 12080*j*t**4 + 4 wrt t.\nAnswer: 52*j**2*t**3 + 48320*j*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 2932 = 4*z, -2*z + 24*r = 25*r - 1468. What is the greatest common divisor of z and 931?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1763 is divided by 136?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 1055*h - 757. Let o be j(-5). Round o to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z + 1. Let j(q) be the second derivative of -5*q**3\/6 + q**2 - 4*q. Let p(h) = h**2 + 4*h - 3. Let l be p(-6). Let y = l - 8. Give y*j(a) - 4*c(a).\nAnswer: -a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 255030041 - 33?\nAnswer: 255030004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 54*k**2 - 26 + 14 + 118*k - 153*k.\nAnswer: -54*k**2 - 35*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/3 or -66.6?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/6*1 - (-44)\/(-66). Sort c, 2\/11, 3, 1\/2.\nAnswer: c, 2\/11, 1\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (-31 - -48) + -35 + -32.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/4*2*1\/4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eighteen fifths of a millennium?\nAnswer: 43200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 110 + -34?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -11*g**3 + 3*g**2 + 2*g - 7. Let k(i) = 4 - i + 3*i**3 - 84*i**2 + 3*i**3 + 82*i**2 + 0*i. What is -3*f(x) - 5*k(x)?\nAnswer: 3*x**3 + x**2 - x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 0.2, 0.448, 3, -1, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 800 divided by 4\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-51)\/(73\/((-24820)\/204)).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(11) + -4 + 5 + ((sqrt(132)*5 + sqrt(132))*5)\/sqrt(12).\nAnswer: -1 + 31*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + ((-4 - -11) + 18 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*c - 14 = -42*c - 46*c for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -4*p**3 + 2*p**2 + p. Suppose -4*s = -8*s - 4. Is 5 a factor of k(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 4:41 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 12 - 8 = 4*b, k - 5*b = 25. Suppose k = -4*f - 10 + 82. Calculate the remainder when 52 is divided by f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.0094 (b) -0.5 (c) -1 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*k - 6*k**2 + 4*k**2 - 2*k)*(-2*k + 4 - 4)*(-3 + 4 + 1).\nAnswer: 8*k**3 + 32*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 10. Suppose -4*p - 140 = -l, -l + p + 453 = o*l. Calculate the remainder when l is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.804023453 to two dps.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/35*(-6)\/(-8)*2)\/((-2034)\/(-172890)).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*p + 46*p = 50. Calculate the remainder when 298 is divided by p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1.7 (b) 74 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -49076.422 + 49117. Let z = v - 41. What is z rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1144*r**2 + 5 - 5 + 796*r**2 - 486*r**2.\nAnswer: 1454*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -37 - -43.1\nAnswer: 6.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 2\/15, -2, -4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170 - 194 = 3*f + 3*h, 2*f + h = -12 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 46 + 1713*x + 36*x**3 - 855*x - 858*x + 2*x**2 in the form v*x**2 + p + l*x**3 + o*x and give l.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 + 17*v - 30. What is d(14)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2999*d**4*o**2 - 3*d**4 + 1288396*o**2 with respect to d.\nAnswer: -11996*d**3*o**2 - 12*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of -13\/2*i**3 - 1\/60*i**5 - 43*i**2 + 0*i + 0*i**4 + 0 - 9\/20*i**6. What is the third derivative of p(a) wrt a?\nAnswer: -324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1882*x + 1882*x - 3782*x + 648 for x.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15968207 and 293?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3*r**3 + 294*r**2 + 4847*r - 45. Determine p(-21).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 12019, 18051, 24081, 30109, 36135?\n\"Answer: -k**2 + 6035*k + 5985","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f**2\/5 + 40248*f\/5 - 40249\/5 = 0. What is f?\nAnswer: -40249, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 10:37 PM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 19576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.4 (b) -62 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7775 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26429*i**2 - 43602*i wrt i?\nAnswer: -52858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 708603.3 months in millennia?\nAnswer: 59.050275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 9:20 PM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32 - 24. What is the smallest value in f, -2\/7, -2\/19?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 10, 4, -13, -18, 14 in decreasing order.\nAnswer: 14, 10, 4, -1, -13, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31639, 31632, 31625?\nAnswer: 31618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -7*n - 415. What is the units digit of (6\/(-6))\/(167\/n - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-6)*v)\/v**(-4))\/(v\/(v\/(v*v*v\/v**(2\/5)*v*v))*v)**(2\/3) assuming v is positive.\nAnswer: v**(-71\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c - 6*c + 72. Solve -f - 4*f - 2*h = -c, -3*h = 3*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30.9 - 99.9. Let j = -72.3 - f. Let x = -15 + 103\/7. Are x and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11032942 or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 30764?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (450\/(-125))\/((-6)\/(-15)) + 20.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - (-4 + 2))\/((-6)\/801). Let a(c) = 170*c - 1. Let x be a(-1). Let p = x - f. Calculate the greatest common factor of p and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*h - 29*a - 120, -4*a - 244 = -224 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-18))\/((-8)\/128) - (2 + 4)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u**2 - 10*u - 6. Let p be s(-4). Suppose -3*i - 5 = p*j - 3, -3*i - 1 = j. Solve -m = -3 - i for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 2, -4*a = -7*a + 4*q + 278. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - q. Suppose -n + 4*o - 142 = -6*n, q = -4*n + 5*o + 130. Does 30 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 285*c**5 - 3*c**4*u + 2*c**3 + 148*c**2*u - 68*c*u wrt c.\nAnswer: 17100*c**2 - 72*c*u + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -3*v**3 - 3*v**2 + 25*v + 68. Calculate the remainder when f(-5) is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 7. Let w(c) = c**3 + 4*c**2 - 4*c. Suppose 14*j = 5 + 9. Let h(b) be the third derivative of b**5\/60 - b**4\/24 + 3*b**2. Give i*h(o) + j*w(o).\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(704) - ((sqrt(704) + (sqrt(704)*2 - sqrt(704)) - sqrt(704)) + 4))**2 + (sqrt(704) - (sqrt(704) + sqrt(704)*3*-5))**2 + -4 + 5).\nAnswer: 158417","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4022481375)\/1820)\/(-9) + -6. Let c = -245567 + u. Find the common denominator of -53\/12 and c.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -326 + 318 + (-1 + (2 - 0) - 52)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + (sqrt(77) - -2*sqrt(77)))*-6 - sqrt(77))\/(sqrt(11) + (sqrt(1584) - -2*sqrt(1584))).\nAnswer: -25*sqrt(7)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 370 - 362. Let k be ((-72)\/10)\/(j\/20). Are -21 and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 72 = -f - 5*l, 0 = 5*f - 3*l - 294. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*a**4 - a**4 + 8 + 0*a**2 - 7*a**2 + 6*a**2 to t*a**2 + q*a + i + y*a**3 + w*a**4 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -683*b**3*c + b**3 + 3*b**2*c*i - 52*b**2*i - 3*c*i - 16 wrt c?\nAnswer: -683*b**3 + 3*b**2*i - 3*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.04 + -0.04. Let n = 1.31 - 0.91. Which is the nearest to -1\/4? (a) n (b) w (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191232 rounded to the nearest one thousand?\nAnswer: 191000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 1 + 14 - (-5 + -12 + 21)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**2)\/w*w**(-2\/7)*w**(-2\/11)\/w*((w*w\/w**(-5))\/w)\/w)\/((w**(-1\/4))**(-20)*(w*w\/(w**0*w))**(-2\/3)) assuming w is positive.\nAnswer: w**(-647\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 4 + 7 = 3*w, 14 = 8*w - 5*d for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 100 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 13*r - 160. Let m be i(12). Which is the closest to 9? (a) 1\/4 (b) m (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 15886, 31778, 47670, 63562?\n\"Answer: 15892*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 481193?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (20 - 11)*(-22)\/33 - 5. What is the closest to 7 in -0.3, h, -1, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -97*m - 16923. Calculate r(-172).\nAnswer: -239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b2b (base 14) to base 7\nAnswer: 6254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -3.8?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 144*n + 107*n**4 + 50*n**2 - 195*n**3 + 80*n**5 - 19*n - 147*n**4 = 0.\nAnswer: -1, 0, 5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6072.604 nanograms to grams.\nAnswer: 0.000006072604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2475 (base 11) to base 5.\nAnswer: 100403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.018 (b) -97 (c) 7\/2 (d) -240\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 978738 and 1570?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53 + 47 + 21 - 39.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -119155440 divided by 16\nAnswer: -7447215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**31\/(c\/(c\/c**(1\/2))) assuming c is positive.\nAnswer: c**(61\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38345?\nAnswer: 5, 7669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177675589.\nAnswer: 7, 13, 1952479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54\/(-10) + (-610416)\/63585.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 15*z**2 - 12*z + 24. Let s be w(-14). Let d = 5 - 1. What is the nearest to 2\/3 in d, s, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 20*q - 3040 + 2993 + 0*q**3 + 29*q**2 - q**3. Is z(22) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -14*z**5\/5 - 416*z**4\/5 + 1002*z**3\/5 - 140*z**2 + 128*z\/5 = 0?\nAnswer: -32, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.61831624 rounded to two dps?\nAnswer: 24.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.187 + 0.2. Let q = -3200 - -3199.983. Let x = q - w. Is x smaller than -2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3*p. Let g = -4 - -9. Let c(s) = 3*s. Calculate g*c(d) - 6*a(d).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5 + 4)\/(-5) - 48\/(-60). Which is the nearest to -3? (a) g (b) 8 (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -3\/5, -8, -13?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 2*w. Suppose s - 5*v = 6, w = s - 3*v - 4 - 0. Is (2 - s) + 70\/5 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 + 1. Let p(l) = -l**3 + 15*l**2 - 7*l - 13. Let d(c) = p(c) + 6*y(c). Let t be d(8). Let u = 7 - t. Does 2 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1274\/910*(-40)\/(-364)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 26514.063 to the nearest ten.\nAnswer: 26510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 16\/377975 (c) -0.5 (d) -1.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 + 22*a + 5. Let l(y) = 2*y**2 + 43*y + 9. Give -6*l(g) + 11*t(g).\nAnswer: -g**2 - 16*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 104 = 4*k, 0 = -3*i + k + k + 156. Is 13 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21251031, -21251029, -21251027, -21251025, -21251023?\nAnswer: -21251021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 698781 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 109 = 2*p + 106, 3*p - 21 = -4*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 47.3 - 48. Let b = -1.9 - -2. Is m at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 36089.2086 - 36099. Let r = -9.8 - y. What is r rounded to three decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 16*v = -27*v + 9440. Which is greater: v or 946?\nAnswer: 946","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 94635481 + -4637337567\/49. Let p = m + 4061. Calculate the common denominator of p and -38\/63.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -666 (base 11) in base 4?\nAnswer: -30132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10428221 by -313.\nAnswer: 33317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -3*x**3 + x**2 + x - 1. Let b be m(1). Let f(j) = 2*j**2 + 3*j + 1. Let w be f(b). Suppose s = w, -4*y - 2*s = 3*s - 251. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -305*o - 2086*o - 389*o.\nAnswer: -2780*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 390 = 5*q + 5*w, 13*q - 180 = 11*q + 4*w. Suppose 5*r = -x + 32, -q = -3*x - x + 3*r. Solve -2*j + 4*y = 6, 2*j - 3*y + 6*y - x = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + 11 + -22)*((-4)\/19)\/((-40)\/380)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2 - 88*h + 936.\nAnswer: 2*(h - 26)*(h - 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1589 a factor of 11478535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -5*b - 4. Suppose -61 = -9*o + b. Solve -d + 0*d - o = -i, -5*i = d - 17 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11479981 to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/61? (a) -0.2 (b) -23.29 (c) -1\/4 (d) 0 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 11461594?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n\/n**10)\/n)\/n)\/n)\/((n*n*n**(-6\/7)*n)\/n*n) assuming n is positive.\nAnswer: n**(-99\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 2706?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(38)\/sqrt(2) + sqrt(38)\/sqrt(2) + 4 + 5)**2.\nAnswer: 32*sqrt(19) + 140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r + 23. Let b be a(-10). Let q = b - 16. Is 90\/(-6)*29\/q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 7, k: 8, f: 3}. What is prob of picking 1 t, 1 f, and 1 k?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 plus 659.677265?\nAnswer: 615.677265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 0, 27.8, 6, 1\/9 in descending order.\nAnswer: 27.8, 6, 1\/9, 0, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -153*y + 8. Let h(p) = 175*p - 10. Let w(u) = -2*h(u) - 3*q(u). Let c(r) = -r. What is w(c(t))?\nAnswer: -109*t - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -299490 and 0.3?\nAnswer: -89847","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1469452 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 741\/(-4275) - (14894\/1650 + -9)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + o = 6, -4*w + 26*o - 24*o - 18 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d = 126 - 60 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112957 is divided by 37637?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 36978102?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 364\/(-156)*(-25)\/(-35)*-18.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -34.608 to one dp.\nAnswer: -34.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2221 (base 4) to base 10.\nAnswer: -169","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*w**2 - 1333*w - 14*w**2 - 3*w**2 + 452*w + 416*w + 465*w.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 55, 124, 229, 376, 571, 820, 1129?\nAnswer: 1504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*y - 90*y - 198*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1507 by 11.\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 0*y + y - 2*y. Let j(v) = 5*v. Let s(z) = -6*f(z) - j(z). Let i be s(3). Solve 5*o = 3*l + 25, 2*l - 6*o = -i*o - 16 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -40 - -28. Let s(q) = -2*q**3 - 41*q**2 - 17*q + 36. Let k be s(-20). What are the prime factors of ((-85)\/(-2))\/(f\/k)?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 503, 494, 485, 476?\nAnswer: 467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -12. Let d = -4.9 + o. Which is the nearest to 2? (a) -4 (b) 0.4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 281\/6 + -271\/6. Let j(s) be the first derivative of -s**4 + v*s**3 - 3 + 0*s + 0*s**2. What is the third derivative of j(d) wrt d?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -42 * 745389.\nAnswer: -31306338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1411858 + 184954787\/131. Let u = f + 271139\/1572. Let d = u + -183. Find the common denominator of d and -65\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*i - 42 = -3*u + 12*i, -4*i - 318 + 359 = -u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -43506621622.71499961 - -43506607638. Let l = u - -13984.654. Let q = -0.061 - l. Round q to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24317 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 6*c - c = -1, 0 = 4*l - 2*c + 36. Let s(j) = j + 11. Let y be s(l). Does 6 divide y - (-5)\/(15\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 18. Let o = z + -5. What is the remainder when 4 is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 + 9*i - 4. Suppose 4*l - 9 = 19. Let b be p(l). Let u be (b\/3)\/((-1)\/(-6)). Solve 3*a - 3*m = -2*a - 25, 4*a = -5*m - u for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of b**5\/90 + 22*b**4\/3 + 263*b**3\/9 + 394*b**2\/9 - 103*b + 22. Factor p(t).\nAnswer: 2*(t + 1)**2*(t + 394)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 998580 and 918?\nAnswer: 8987220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 41900 and 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + -105?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7001571*k**2 + 4366*k + 911.\nAnswer: 14003142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*o + 3*p, 7 = -3*o + 5*p - 1. Solve -o*g - 6 = 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-3))\/(-5)*(-2)\/(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -318*z + 9. Let o be s(-2). Let g = o - 314. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1617 - 1602. What is the greatest common factor of t and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5910 divided by 1182?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8936 + -5790. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7972 at least as big as 7967?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 4*x + 233, 5*n = x - 94 - 279. Let v = -70 - n. Let y be (5\/v + -4)*32\/(-6). Is y greater than or equal to 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -768 - -697. Let x = 95 + i. Calculate the lowest common multiple of 36 and x.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 90 = -o - 105, -5*n + 2*o + 10 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2219 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (5 - (-3 - -5))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 2*q - 2. Differentiate 5*g + g**2 - 2 - 5*g - q with respect to g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -10. Let t(o) = -3*o - 1. Calculate the remainder when 55 is divided by t(y).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8 (b) -4 (c) 6 (d) 1 (e) -1265 (f) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w - 1 - 7 + 0 + 1. Let y(t) = -t + 8. What is 6*b(p) + 5*y(p)?\nAnswer: p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2186733 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/9 - 8696576*h\/9 + 9453804265472\/9.\nAnswer: 2*(h - 2174144)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*a - 57*a = 28. Factor 2*v**2 + 10*v**2 - a*v**2 - 3*v**2.\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2533 - -3?\nAnswer: 2536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4303.2447469 + 0.1497469. Let u = 4282 + o. Let f = 21 + u. Round f to 2 decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -17 and -38.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37481089 is divided by 41.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4966 + -4884. Solve x - 74 = 4*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 AM and 4:41 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -10 + -1 - (-5553 + 5550)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u = 713201 - 713281 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/4 - 1224*x - 4897\/4.\nAnswer: (x - 4897)*(x + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 12 = 3*q, 41744*n + 9*q - 62 = 41749*n for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2*l - 7*l + 3*l)*(-5 + 0 + 3) as f*l + z and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -7231 plus 53406.11?\nAnswer: 46175.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 15\/10*(-2 + 4). Suppose -o = -i - 0*i. Let d(f) = 1036*f - 8. Let m be d(i). Round m to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 + 5*a**2 + 14. Let d be n(6). Suppose -442 = -6*p + d. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-3))\/(-10)*0\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -71 + 143. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 - 33*n + 72. Let d be b(31). Let h be d + -14 + (6 - 2). Solve h = p + 6*p + 35 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.952718mg in grams?\nAnswer: 0.000952718","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*c + 3*c - 140. Let j be (-6)\/4*c\/3. Is -2 at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4b0b865 + -5?\nAnswer: -4b0b86a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 70\/63 + (-2)\/18 + 0. Let x be (1 + -11)\/(3*6\/(-9)). Solve x*j - 21 = -h for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 9*f + 2 + 5*f)*(-3 + 8*f + 3).\nAnswer: -32*f**2 - 16*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 419744 and 112736.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -74632163 (base 8) to base 14.\nAnswer: -218c7ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-52)\/(-4) + (-2 - -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -29*q. Let g(w) = 36076*w**2 + 6. Calculate g(b(o)).\nAnswer: 30339916*o**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 2*x = l - 30, 0 = -3*l + 3*x. Let u(k) = k**2 - 24*k + 36. What is the remainder when u(23) is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -95*w - 3*w + 1372 for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 5*o = -145, 0*g + 5*o - 95 = -3*g. Let w = -625 + 635. What is the highest common divisor of w and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 909 - -3?\nAnswer: 90c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1b (base 16) to base 14\nAnswer: -1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/591 and -59\/1576.\nAnswer: 4728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 200322100 (base 5) to base 12\nAnswer: 322506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = -16*a + 8, -49*p = -5*a - 47*p + 18 + 8 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: -2363.6 times -1635\nAnswer: 3864486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3980 - 3360. Does 31 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168859985?\nAnswer: 5, 7, 1697, 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -18 (b) 2\/11 (c) -2 (d) -1\/4 (e) 6.815\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d - 6*d + 3*s = 25, -5 = -d + s. Let z be (d - 4)*(8 - 1). Solve -z = -m - 8 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146 is divided by 97.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 52*b**2 - 12*b - 1. Is 3 a factor of v(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - i + 1. Let v = 30 + -28. What is the units digit of n(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2122 = s, 0*a + s = 5*a - 10616. Suppose 3*t - 528 = 2*t - 2*f, 3*f + a = 4*t. Let j = t + -237. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -4 (c) 334 (d) 5 (e) 2 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 8 + 0 = 0. Let z(b) = -12*b - c + 4*b + 2 - 3. Calculate the remainder when z(-2) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*l**4\/2 - 11*l**3\/2 - l**2 = 0. What is l?\nAnswer: -1, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011001001 + -11001010001?\nAnswer: -110001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {c: 4, y: 3}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + m + 0*m)*(98 + 208 - 26).\nAnswer: 840*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 365 - 281. Differentiate -28 - 154*b - c + 20 - b with respect to b.\nAnswer: -155","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + (-3)\/(-9)*0. Let g(p) = p - 3. Let z be g(-17). Are q and z unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g + 13. Calculate q(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 238\/(-1176) - (-25)\/100\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 1698*j - 850*j + 52 - 11 - 850*j.\nAnswer: -2*j + 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3, 40, 97, 168, 247, 328, 405?\n\"Answer: -i**3 + 16*i**2 - 4*i - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 114028, 228049, 342064, 456067, 570052, 684013, 797944?\nAnswer: 911839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15719*a + 15471*a = 2728 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 58506 and 87318.\nAnswer: 17376282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 93*x**3 - 7 + 3*x - 82*x**3 in the form j*x**2 + y*x + f*x**3 + w and give f.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3)\/z**(8\/5))\/(z**(-2\/5)\/z)**(-2\/21)*(z**5\/(((z\/(z\/z**4))\/z*z)\/z))\/(z**(-8)\/z**(-8)) assuming z is positive.\nAnswer: z**(-41\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.481007 rounded to 3 decimal places?\nAnswer: -0.481","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -708376*b**6 + 1479*b**2 + 6 wrt b?\nAnswer: -85005120*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 953316.9 centuries in years?\nAnswer: 95331690","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*h + 26*h - 42. Solve 0 = 4*l - 5*l + h for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 526 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/7 of a week?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13431?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2 + 0.3. Which is smaller: -59 or n?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 + 0*u**2 - 3*u + 6 - 5*u. Let k be h(6). Let x be 27\/k + 2*1. Which is the third biggest value? (a) 1\/4 (b) x (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -6*f + 50. Let t be (14 - 2\/(-1))*(-4)\/(-8). Let k be s(t). Solve -5*h - 27 = -k for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, x: 4, q: 2, p: 5, j: 1}. What is prob of sequence jqcq?\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -170, -1339, -4512, -10691, -20878, -36075, -57284?\nAnswer: -85507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 102882810 a multiple of 255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2260*i**4 - 344 wrt i.\nAnswer: 9040*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 3427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 5950 to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2689, -5456, -8345, -11416, -14729, -18344?\nAnswer: -22321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42847.\nAnswer: 7, 6121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*l**2 - 2*l**2 + 4*l**2 + (-2*l**2 + l**2 - l**2)*(4 + 2 - 4) - 194*l**2 + 183*l**2 - 177*l**2.\nAnswer: -185*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, s: 3}. What is prob of sequence is?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + 2. Suppose 0 = 5*g - 3*f - 486, -5*g + 5*f = -2*g - 298. What is the remainder when g is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 388.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 - 18*d**2 - 9*d - 113. Determine o(-12).\nAnswer: -869","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4454 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m**4 + 152*m**3 + 5628*m**2 - 60496*m - 1617280 = 0.\nAnswer: -19, 20, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -5*a - 1. Let x(o) = 10 - 9*o - 12 + 0*o. Suppose -13 = -4*y + 11. Suppose t - y = 2*t. Determine t*x(m) + 11*j(m).\nAnswer: -m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 14*g**2 + 12*g - 7. Let v be l(-13). Suppose 0 = 18*a - v*a - 4080. Suppose 112 - a = -i. Does 14 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 951 - 824. Suppose 5*a - 2*r - 75 = -0*r, 4*a + 3*r = 37. What is the remainder when t is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32903 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -810*g*u**3 + g*u**2 + 541*g*u + 2*g - 3*u**3 + 1 wrt u?\nAnswer: -4860*g*u + 2*g - 18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -16*a + 24. Let f(x) = -2*x + 3. Let y(j) = -51*f(j) + 6*r(j). Let d(q) = -3*q + 5. Let b(i) = 9*d(i) + 5*y(i). Let t(g) = g. Calculate t(b(z)).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -376*(-642)\/(-301740)*10\/(-8)*6\/(-10).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a. Let o(q) be the first derivative of 3\/2*q**2 + 2 + 0*q. Determine o(z(f)).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 242856 divided by 60714?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(2\/23)\/n)\/n)\/((n**(-9)*n)\/n))\/((n*n\/(n*n\/(n*(n\/((n*n*n*n**(-11))\/n*n))\/n*n)*n*n*n*n))\/(n**(1\/4)*n*n)) assuming n is positive.\nAnswer: n**(307\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from gfgwggopgpwwopwfgo?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 11*f**3 + 42*f**2 + 63*f - 6. Let c(i) = -9*i**3 - 36*i**2 - 64*i + 5. Determine -7*c(z) - 6*r(z).\nAnswer: -3*z**3 + 70*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 15 divided by 15\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(1 + -4 - -5). Suppose 4*o - 1565 + 4733 = h. Let t = -27718\/35 - o. Which is greater: 1 or t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 906.4568km to millimeters.\nAnswer: 906456800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 55545 and 63?\nAnswer: 166635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 262326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 513*t - 307*t - 538803506. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 3*q - 4. Let l(c) = -6*c + 7. Let g(z) = -3*l(z) - 5*u(z). Let j be g(1). Do j and 7\/5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14668*k = 14855*k - 2616 - 750 for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 98*l - 6 + 99*l)*(7*l - 2*l**2 + 17 + 19 - 8*l).\nAnswer: -2*l**3 + 13*l**2 + 43*l - 252","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/4 and -31\/45.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 399 and 513.\nAnswer: 3591","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15307 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 1\/10 (c) -0.5 (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3781760 to the power of 1\/3, to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 66301 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*h + 19*h - 16*h + (3*h - 4*h + 0*h)*(-1 + 2 + 3) - h + 2*h - 4*h + 1 in the form r + o*h and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -7*o + 51. Let b be u(7). Suppose i - 44 = -4*f + 2*i, b*f - 4*i = 36. Let h(g) = g**2 + 3*g - 2. What are the prime factors of h(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -3*w. Let p(k) = -k + 12*k**2 + k - 24*k**2. Determine p(x(h)).\nAnswer: -108*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1969704 to the power of 1\/2, to the nearest integer?\nAnswer: 1403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121878843.\nAnswer: 3, 40626281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s - 3. Suppose 2*o - 2*b - 12 = 0, o + 4*b = 40 - 24. Let y(v) = 3 + o - 7*v - 8 + 10. Determine 9*k(p) + 2*y(p).\nAnswer: 4*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - -1) + -2 + 4. Suppose z - s*z + 3 = -w, 12 = 2*z - 5*w. Is ((-1)\/(-1) + 22)\/z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - 2. Let u be 0\/(k\/((-6)\/(-2))). Round u to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7 - (66\/330)\/((-1)\/(-35)). Let q = -4 + 5. Which is the closest to q? (a) r (b) -2\/17 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 3*l = -0*o + 18, 0 = 2*o - 3*l - 9. What is the closest to 32 in -5, -3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3623 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67 - (-6 - (46 - (-9 + 43))).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3648 and 24111?\nAnswer: 1543104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/46 and -49\/4.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 3, -0.5, -2\/479, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, a: 17}. What is prob of sequence qaa?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*p**3 - 11*p + 2 + 11*p.\nAnswer: 16*p**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 938*b**2 - 190*b - 2 wrt b?\nAnswer: 1876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 10*w**2 - 13*w - 15. Let g be x(-10). Suppose 4*n - 25 = g. Suppose -2*s + 35 = -n. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7301857483 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 4*a**2 - 34*a - 198. Let q be c(-5). Calculate the highest common divisor of 408 and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 - -0.9. Let d = -1\/1459 - 10195\/26262. Let s = d - -1\/6. Which is the nearest to s? (a) 0 (b) t (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -106 + 110. Find the second derivative of t*o - 20*o - 7*o - 13*o**2 - 8*o wrt o.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 7:36 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**3 + 1 - 2261*m**2 - 4*m**3 - 2*m**3 + 3*m**3 + 2260*m**2. Let z(p) = 6*p**3 + 3*p**2 - p - 2. Give -3*d(t) - z(t).\nAnswer: -3*t**3 + t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -3145 greater than -3147?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 8 + 6 = -2*y, -3*y - 4*g = -19 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -1. Let t(b) = -11*b + 48. Let l(u) = 5*a(u) + t(u). What is the remainder when l(0) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2503 is divided by 356?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - 182 + o + 152)*((-2*o - 2 + 2)*(0 - 5 - 2) - 1 + 1 - o).\nAnswer: 26*o**2 - 390*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - r)*(4*r**2 - 6*r**2 + 3*r**2 + (-3 - 2 + 3)*(3*r**2 + 0*r**2 - 2*r**2) - 518*r**2 - 339*r**2 - 25*r**2).\nAnswer: 883*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 439.2 or 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 5074?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together -9682835935 and 0.2.\nAnswer: -9682835934.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 99.09874 millilitres in litres?\nAnswer: 0.09909874","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*p + 13*p + 10, 0 = 4*t + 2*p + 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 72058 times 0.3?\nAnswer: 21617.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -8 (b) 4 (c) -2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -4*m**3 - m**2 - m + 1. Let q be -4*(-2)\/(-6)*-36. Let s = q - 47. What is x(s)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4*q + 3*q - 3*q)*(-3*q - 3*q + q) + 2*q**2 - 4*q**2 + 4*q**2.\nAnswer: -18*q**2 + 5*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3 = -2, -3*a = -2*i - 16. Let y = 243 - 239. What is the second biggest value in a, y, -2\/15?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5860 + 93721\/16. Let v be (14 - 8)\/((-20)\/122). Let b = 1603\/30 + v. Calculate the common denominator of q and b.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66568481.\nAnswer: 7, 17, 73, 79, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + 1)*-6*5.\nAnswer: -30*sqrt(7) - 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1093222, -1093121, -1093020, -1092919, -1092818?\n\"Answer: 101*y - 1093323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -28696, -28706, -28716, -28726, -28736?\n\"Answer: -10*x - 28686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 5*b + 13. Let o(m) = 16*m + 40. Let q(i) = 8*l(i) - 3*o(i). Let j be q(-5). What is the greatest common divisor of j and 264?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 12 = -32. Let t be -2 - -7 - (0 - -3). What are the prime factors of -3*(-6)\/j*t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rh when two letters picked without replacement from hrurr.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - 3b?\nAnswer: -3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 905300, 1810616, 2715932, 3621248, 4526564?\nAnswer: 5431880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2479 and 134.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1127\/2 - 532. Let r = -31 + p. Let c = 24952.5 - 24953. Sort 2\/11, r, c in increasing order.\nAnswer: c, 2\/11, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i**2 + 652*i + 15*i**2 - 631*i to the form z*i**2 + b + k*i and give z.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -4 (b) 0.091 (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 16) to base 5\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 56, 109, 194, 317?\nAnswer: 484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 1 - 14\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 - 4*r - 2. Let w be d(-2). Suppose 4*y = w*y + 4. What is the highest common factor of y and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102)*-1*3 - -1*(-2*sqrt(102) + sqrt(102) + sqrt(102)))\/(-4*(sqrt(384) + (sqrt(384)*4 - sqrt(384))*4)))**2.\nAnswer: 153\/173056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.061, 0.4, 4, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19362 divided by 1383.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 246*v + 5 = 251*v. What is the smallest common multiple of v and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -73*p**3*y**2 - 11*p**3*y + 96*p**3 - 91*p**2*y**3 wrt y?\nAnswer: -146*p**3 - 546*p**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 377, 762, 1147, 1532, 1917?\nAnswer: 2302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 53272988807 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 114, 241, 368, 495?\nAnswer: 622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 + 8*s. Let k be y(-8). Suppose -2*t + k*t = 0. Does 13 divide -2 - (t + -36 + -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -5*x**2 + 3*x - 1. Let u(j) = 4*j - 1. Give b(i) - 2*u(i).\nAnswer: -5*i**2 - 5*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1359 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.9 - -1. Suppose 5469 = -3*g + 1722. Let x = g + 88677\/71. Sort x, h, 1\/3, 0.4 in increasing order.\nAnswer: x, h, 1\/3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 334236493 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (((-988)\/(-16320))\/13)\/(6\/(-148)). Let r = d + -1\/360. Let f = 0.1 - 1.1. What is the third biggest value in -2\/3, r, 4\/9, f?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v and 1 w when four letters picked without replacement from ugwgvvgugwsuwwuwzwvu?\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -25*n - 1. Let o(w) = 48*w + 2. Determine 2*o(i) + 5*z(i).\nAnswer: -29*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 754.824 weeks?\nAnswer: 7608625.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*s = 23*s. Let h(j) be the second derivative of s*j**2 + 16*j + 1\/6*j**4 + 0*j**3 + 0. Let m(r) = -19*r. Calculate m(h(f)).\nAnswer: -38*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*l**3 + l**3 - 3*l**3.\nAnswer: -12*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + -5. Let u(y) = -2*y - 3. Calculate the lowest common multiple of ((-8)\/r)\/4*15 and u(-5).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 755438450*p**2\/7 - 20056920*p + 931896.\nAnswer: 2*(19435*p - 1806)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -23 + g + 5*g - 7. Let r(o) = 37 - 16 - 15 - o. Let y(m) = -4*k(m) - 21*r(m). Let c(x) = 3*x + 5. Give -4*c(b) - 3*y(b).\nAnswer: -3*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1677936 and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 6*w + 4*w + 4 = 0, 3*p - 28 = 4*w for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, o: 1, t: 1, c: 1, j: 1}. Give prob of sequence lo.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1096692 to the power of 1\/3, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 1063*c - 679. What is h(2)?\nAnswer: 1447","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 86527 + -57739. Suppose -4*k = 4*q + h, -k = 5*q + 22361 + 13636. What is q rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6914.\nAnswer: 2, 3457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -15, 1, 0.01687, 3\/2?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7899*j - 7894*j - 3065. Is 5 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -128796691 and 1859890?\nAnswer: 130656581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -4. Let q = 2 - t. Let s = -1 + 3. Sort s, 5, q in increasing order.\nAnswer: q, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/9))**35\/(o**(-7)*o**(2\/9)))**20 assuming o is positive.\nAnswer: o**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g + 136 = 1354. Suppose v - 123 = -116. What is the greatest common divisor of v and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5583261 centuries to months.\nAnswer: 669.99132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from vmmmmvv?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6596593187 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2050599\/110 + 18641. Calculate the common denominator of s and 37\/175.\nAnswer: 3850","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/((-7)\/12 - (-5)\/15). Let k(x) = 18*x + 8. Let p be k(q). Let u = p - -71. Is u a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -9659 (b) 5\/6 (c) 0.1 (d) -15 (e) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2 - 8664*m + 4485440.\nAnswer: 4*(m - 1310)*(m - 856)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -9*i**2 + 40*i + 29. Let q(l) = -8*l**2 + 38*l + 17*l + 32 - 15*l. Let j(x) = -5*q(x) + 4*r(x). Find g such that j(g) = 0.\nAnswer: -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -748819.288 rounded to the nearest ten thousand?\nAnswer: -750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 20 = 2*y + 4*c, 0 = -4*y + 5*c + 40. Suppose -976 = -y*b + 614. Calculate the remainder when b is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ntnn when four letters picked without replacement from nnntnnnnnnnnn?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28*(-34)\/1904)\/(11\/1 + 0)?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 324 and 403932.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - 11*x**2 + 5. Let k be n(11). Suppose 0*q - 2*q + 174 = 4*j, 0 = -2*j + k*q + 105. Suppose 0 = z - 22 - j. Is z 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 1:42 AM and 4:29 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159 = 9*c - 4*c - 2*c for c.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence he when two letters picked without replacement from uuuuehlkthulkt.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2386 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 256*l**4 + 1900992*l**3 + 1080427248*l**2 + 212244177204*l + 14030081547300 = 0.\nAnswer: -6825, -801\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 403 is divided by 144.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of t**4\/2 - 17*t**3\/3 + 21*t**2\/2 - 8*t + 106. What is the remainder when v(8) is divided by 50?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 20056.234 and -15193996?\nAnswer: 15214052.234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/6 - (-34 + 0). Suppose 0 = 5*n - 4*i - 85, 3*n - 25 - x = 4*i. Calculate the remainder when 24 is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 > -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 5*y = -4 - 4, -2*r - 2*y = 0. Suppose -r*g + 7*g = 80. Let d = 8 + g. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -80 divided by 4\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 376*k**3 - 1156*k**3 + 508*k**3 + 329*k**3.\nAnswer: 57*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 687732330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.51001015 - 0.51. Round z to 6 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 + 39 + (-7 - (1 + -4))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -82292805 times 1?\nAnswer: -82292805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 + 12*y**2 + 11. Let m be t(-12). Let b(n) = -n + 42. Let d be b(15). Let k(i) = -11*i - m*i + d*i - 4*i. Let a(v) = v. Give a(k(r)).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 365.031 + 1.969. What is the third smallest value in q, -1, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 + 2)*5\/(-10). Suppose 2*c + q + 7 = n, 2*c + 10 = -c - q. Let o(s) = -s**3 - s**2 + 2. Calculate o(c).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -503*o**2 + 241*o**2 + 245*o**2 - 145*o**2 + 220*o**2.\nAnswer: 58*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -4*l - 8*x - 14*x, -7*l + 5*x - 4 = -19*l + 16*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 + 0. Suppose y = 3*s + s. Solve -s*k = -10*k - 20 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18549 is divided by 1685.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 5*s + q = 7, -2*s - 2*q + 2 = 0. Let m be (-231226)\/(-4) + 3\/s. Suppose v + 1195 = -m. What is v rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15775.1 + -15775. What is the second smallest value in y, 1, 0.06, -12\/7?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1252\/(-3)*9\/(-6). Suppose 176 = -d + a. Let w = -301 + d. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0011148164 rounded to 6 decimal places?\nAnswer: 0.001115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 393981361 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + 1)*(-12)\/(-8). Suppose 3*j = 3*f + 6, -2*f - 2*j - z + 11 = 0. Let w be f + -2 + (1 - 0). Is 0 bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.5 + 0.3. Let y be (2 + -1)*(-5)\/3. What is the closest to 2 in v, -3\/2, y?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s\/(s\/s**(-15)))**(-20))**(-35))**(-3\/20) assuming s is positive.\nAnswer: s**1470","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 4 - 4)*(-3*u + 0*u + u) + (11 - 1 - 1)*(-2*u + 2 - 2).\nAnswer: -26*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -8571, 3, 0 in ascending order.\nAnswer: -8571, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 537472 a multiple of 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*s + 14*s = 232 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1140.5760125 rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 139.45649 to one decimal place.\nAnswer: 139.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -d (base 15) in base 4?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-6)*3*(27 - 27). Let d(w) be the first derivative of l*w**2 - 1\/3*w**3 + 0*w + 8. Let r(j) = 24*j**2. Determine d(r(m)).\nAnswer: -576*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136660?\nAnswer: 2, 5, 6833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -746*s - 4. Let f be n(-3). Suppose -3310 - f = -8*v. Suppose 0 = 5*b - v - 1402. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.267 + 5.453. Let c = 4 - t. Let b = c + -0.28. What is the smallest value in b, -4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 74 + (-62 - -38 - 13) - -107\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 6 = -0*g. What is h in 2 - 5*h + h**2 + 4*h - g*h = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64570730 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 290 is divided by 95?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5631531?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.1 and 7\/20159 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 + 3*k**2 + k + 3. Let u(p) = 0*p**3 + 4*p**3 - 6*p**3 + 3*p**3 - 11 + 9*p**2 + 7*p. Let v be u(-8). Calculate q(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of -973*n**6\/30 - 1141*n**5\/30 - 5037*n**2. What is the third derivative of b(z) wrt z?\nAnswer: -23352","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = -5*o + 6, -241 + 249 = -4*n + 2*o for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d**5 - 29644*d**4 + 2*d**3 - 1373*d**2 - d - 344.\nAnswer: 120*d**2 - 711456*d + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y*y*y**(-2)*y)*y**(-5\/8)*y)**(-16)\/((y**(-1))**(-36)*(y*y\/y**(1\/8)*y)\/(y\/((y**3*y)\/y))) assuming y is positive.\nAnswer: y**(-503\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + 281. Let x = -54 + j. Is 14 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 AM and 8:48 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (222\/(-9324))\/((-8)\/96)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.6196 less than -0.4?\nAnswer: 1.2196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 284*3.64\nAnswer: 1033.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of d**6\/120 + d**4\/12 - d**3 + 2. Let q(u) be the third derivative of p(u). Differentiate q(i) wrt i.\nAnswer: 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + 2 + (1 - -4). Let i be -2 + (-2 - -13) - 4. Solve 0 = v - i*l, v - l + 5*l + g = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 591 a factor of 3146359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -251960\/3 - -85250. Let r = -1118 - 161. Let y = r + j. Find the common denominator of y and 41\/11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -60 + 5*k**2 - 5*k**3 - 44*k - 2*k + 43*k + 43*k = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 315 and 840.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 PM and 12:50 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2963 plus 16488636.24?\nAnswer: 16491599.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1943 is divided by 195.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47, -92, -137, -182, -227, -272?\nAnswer: -317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 15. Let v = 16 + f. What are the prime factors of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.066604843 take away -11.9?\nAnswer: 11.966604843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/2 + 3*v\/2 + 119.\nAnswer: -(v - 17)*(v + 14)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/334767?\nAnswer: -1\/334767","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2386*h + 2386*h + 8 + 36*h**4 + 0*h**2 - h**2 wrt h.\nAnswer: 864*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.053535 + 9254.\nAnswer: 9254.053535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/2 + 3520 + -4. Let k = -1922 + t. Suppose -5*u - u = -k. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 400424324?\nAnswer: 400424333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + -22214*(-1084)\/(-4). Let h be t\/14 + (-12)\/28. What is h rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 - 18. Suppose k*c + 6*c = 0. Let n(u) = u**2 - 3*u - 29. Let y be n(8). Sort -4, y, c in descending order.\nAnswer: y, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + -24374?\nAnswer: -24370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 43279*q. Let f(a) = -2*a**2. Calculate f(o(l)).\nAnswer: -3746143682*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 406\/174*(-1 - 2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + 6*f**2 - 8*f + 1. Let h(k) = k**2 + k. Let o(s) = -3*h(s) + i(s). Let j = 12899 + -12903. Calculate the remainder when o(j) is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*z - 30562 = -26743 for z.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6880 and 18205760.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11021 - 2011021221001?\nAnswer: -2011022002022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of 44*d**7\/105 - 19*d**3\/2 + 2*d**2 + 53. Differentiate v(m) wrt m.\nAnswer: 352*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 42 + -25. Let t = j + -16. Which is the third smallest value? (a) -1\/9 (b) t (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 4)*(-75*u**4 - 6*u**4 - 32*u**4).\nAnswer: 113*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -63671, -63809, -63947, -64085, -64223?\n\"Answer: -138*u - 63533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (161130642\/2253)\/(3 + 177). Let q = x + 2569\/751. Let h = 2019\/5 - q. Calculate the common denominator of h and -145\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 64 and 2272.\nAnswer: 4544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.13 (b) 18\/157 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f + 2. Let z be t(3). Suppose 0 = -2*o + z*x - 6, -4*o = o + 4*x - 18. Let u be 3925*o\/(-4)*-8. Round u to the nearest 1000.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39464373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i - 5. Let m be o(-5). Let u be (-102)\/4*(m + -2). What is the greatest common factor of u and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 195, -61, 4, 20 in increasing order.\nAnswer: -61, -2, -1, 4, 20, 195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 57\/5 of a century?\nAnswer: 114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2911, -5821, -8731, -11641, -14551, -17461?\nAnswer: -20371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 168515610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101001 + -101111?\nAnswer: -1011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.32 and -35.7?\nAnswer: -82.824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -2*d + 395, 239*d - 244*d + s + 986 = 0. Solve -5*x + 201*t - d*t = -13, 5*t - 40 = -5*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4958*p + 4*p**2 + 9921*p - 4963*p.\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/5 (b) -0.019 (c) 3461\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*g + 5*r, 2*r + 6 - 2 = -2*g. Let x(d) = -2*d - 3. What is x(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -57?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7*(305\/(-45) - (-2)\/(-9)). What is the remainder when 90\/14 - (-21)\/k is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -29349*s + 2643*s**2 + 29330*s + 32 - 2644*s**2. Give j(-16).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l - 4 + 6 + 10*l**2 - 1. What is the remainder when 34 is divided by x(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 253 and 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -269*d - 112 = -1188. Solve -5*u - 27 = -b - 0*u, -5*b + d*u = -30 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5800, 5499, 5198, 4897, 4596?\n\"Answer: -301*f + 6101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22132320 - -1?\nAnswer: 22132321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*o - 10*o + 9 + 2*o**3 - 18*o in the form d + k*o**2 + y*o + x*o**3 and give d.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 5 = 7. Suppose v*h = -5*k + 115 - 8, 4*k + 20 = 0. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18053*d - 16874*d = -8253 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 34*q + 30. Let i be n(-12). Let l be i\/78 - (-2)\/(-13). Let u(m) be the second derivative of m**4\/12 + 2*m**3\/3 + 7*m**2\/2 - 28*m. Calculate u(l).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 6 + 7*n)*(-3 + 3 - 3*n**2) as j*n**3 + i*n**2 + g*n + w and give j.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0421 rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, 10, 105\/8, 5, -0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (1 - 0 - (-31 + 47))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7959 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yydddyddlddlddyl. What is prob of picking 2 d and 1 y?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/765332 and 41\/16071972.\nAnswer: 16071972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3102 + 888. Is 15 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4690662 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a micrometer in nanometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = y + 30. Let j = y + 112. Let k be (-74)\/j + (-8)\/36. Is -1 smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 210 + -207. Solve -o = 5*l + 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5.75 at most as big as -17.04?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1375*y + 910.\nAnswer: -1375","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -2072028400 to the nearest 1000000.\nAnswer: -2072000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000110011010010111 (base 2) to base 9.\nAnswer: -478552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -845 or -570?\nAnswer: -845","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6604 + 79349\/12. Let y be ((-3)\/((-27)\/(-6)))\/((-2)\/(-3)). Calculate the common denominator of w and (y\/(-5) + -1)*(-357)\/(-112).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -3*q + q**2 - 1 + 16*q**3 + q + q. Let m be d(-1). Let a = 22 + m. What is the greatest common factor of 35 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57, -60, -343, -792, -1407, -2188?\nAnswer: -3135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-34 - ((-6 - -8) + (5 - 10) - -10)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 8) in base 6?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*p + 4515 = 5946 for p.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) -166 (c) -4 (d) 20 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 - x + 1. Let t(i) = -i + 1. Let d(n) = t(n) - y(n). Let z(s) = 8*s**2 + 10*s**2 + 10*s**2 - 34*s**2 + 5*s**2. Determine -5*d(g) + 4*z(g).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 61 - 143. Let b = y - -205. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 341394, 1365776, 3073078, 5463300, 8536442, 12292504?\n\"Answer: 341460*l**2 + 2*l - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -11, -15, -23, -41, -75?\n\"Answer: -y**3 + 4*y**2 - 9*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 170187 + -170141.0018. Let b = g - 46. What is b rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w - 1. Let y be x(8). Let v = -4 + y. Solve v*u = -9, 2*k - u - 8 = -1 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 14, 33, 44, 47, 42, 29, 8?\n\"Answer: -4*k**2 + 31*k - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7820659991 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 32, 50, 74, 104?\nAnswer: 140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 430283064 and 36?\nAnswer: 1290849192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 410 and 1126870?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 5*i**2 - 19*i + 3. Let a(k) = k**2 - 5*k + 1. Let j(z) = 4*a(z) - r(z). Let n(p) = -3*p**2 + 6*p - 5. Give -5*j(d) - n(d).\nAnswer: 8*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4865 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 - 10*f**2 + 10*f - 5. Suppose 5*v = -16 + 61. Let a be w(v). Is (a\/(-6))\/(2\/(-75)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/42)\/(-2) + (-31 - 4136\/(-132))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 6. Let n be (h\/(-5))\/((-1)\/(-5)). What is the derivative of 3*o**2 - 3*o**n - 3*o**4 + 3 wrt o?\nAnswer: -12*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.52803 rounded to 2 decimal places?\nAnswer: -0.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 45\/14?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111100 - -100000101011110?\nAnswer: 100000010100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -11, 1.\nAnswer: -11, -4, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 709*q**4 - 2*q**2 - 71 wrt q?\nAnswer: 17016*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - -3 - (-2)\/(-2). Suppose f = -0*c + 3*c - 18. Let n(d) = -7*d + d - d - c*d. Let h(j) = 9*j. What is -7*h(i) - 5*n(i)?\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 AM and 4:48 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-1) + 12\/4. Suppose n*z = 8*z. Which is the smallest value? (a) -2\/15 (b) 0.2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**2 + 393327584*f - 9669161770954816.\nAnswer: -4*(f - 49165948)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*a*u**2*x - 2500831*a*x**2 + u**2*x**2 - 2*u**2*x - 348*u**2 + 32*u*x**2 - 3*x**2 wrt a.\nAnswer: -4*u**2*x - 2500831*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 + 9*f**2 - 2*f + 18. Let p be m(9). Solve -5*r + p = -15 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -31202693, -31202694, -31202695, -31202696, -31202697, -31202698?\n\"Answer: -f - 31202692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -543*i**2 - 328.\nAnswer: -1086*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 223580510?\nAnswer: 2, 5, 22358051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11659 divided by 131?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z - 4. Let j be q(-4). Let t be (-1 + j - 14) + 3. Calculate the remainder when 49 is divided by t\/(-24)*(20 + 0).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - (32 - 19)) + 80 - (-1 + -7 + -3)\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14 - 2215.4.\nAnswer: -2201.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 21*i**2 - i - 1. Let o be y(-2). Suppose -401 = -4*g - o. Suppose 5*x - g = 4*s, -x + 11 = -0*x - 2*s. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3449 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 19706 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2\/4 + 2343*j\/4 + 212667\/2.\nAnswer: 3*(j + 287)*(j + 494)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(42)\/sqrt(3))\/sqrt(7) + -3)*1)**2.\nAnswer: 12*sqrt(2) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 337764?\nAnswer: 2, 3, 7, 4021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 25 + 20 + 20 - 64 - 18*d in the form h + y*d and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18941\/184 + -835\/8. Find the common denominator of 64\/3 and t.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 5. Which is the nearest to -2\/7? (a) 0 (b) -0.5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*n + 7285 = -59*n. Which is smaller: -234 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oygjz. What is prob of sequence gy?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3326 + 3408. Calculate the remainder when 263 is divided by t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 + 36. Calculate the remainder when 55 is divided by n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 171.33826 - 281775.\nAnswer: -281603.66174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 36 = -124. Let k be 2\/(-10) + g\/10. Let z be (k\/(-3))\/((-21)\/9). Put z, 1, 0 in increasing order.\nAnswer: 0, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 7 - 80 = -2*d, -2*d = 4*s - 84. Suppose 0 = 5*p - d - 34. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6195 + 6217. Put 5, 0, i, -5 in descending order.\nAnswer: i, 5, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 - 6 = -6*u. Suppose u*t - 7 - 3 = 0. Suppose 5*p - 71 = -c - c, 4*c + t*p = 134. Is 18 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (76\/114)\/((-80)\/1920)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, d: 8}. Give prob of picking 2 d.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 127b99b2 - 4?\nAnswer: 127b99aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 304 + -3410432?\nAnswer: -3410123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 11971+-7592800\nAnswer: -7580829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 0 - 1)*(0*v + 0*v - 2*v**5).\nAnswer: 16*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25*i - 96*i - 568 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/4 of a litre in millilitres?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24403122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.008493455 to six dps.\nAnswer: 0.008493","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of -7*p**6\/6 - 59*p**5\/20 - 7*p**4\/3 - 2*p**3\/3 + 14*p. Solve s(l) = 0 for l.\nAnswer: -1, -2\/5, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 170*c**3*z + 5*c**3 - 2*c**2*z**2 - c**2 + 60*c*z**2 + c*z - 9*c + z**2 - 336 wrt c.\nAnswer: 1020*c*z + 30*c - 4*z**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, y: 4}. Give prob of sequence hyh.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -84152, -84160, -84168?\n\"Answer: -8*n - 84144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 6*w**4 + 1061932*w**3 + 46991021766*w**2 + 313226283240*w = 0.\nAnswer: -88491, -20\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 3832.096 to the nearest 100.\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (-27)\/42*16.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 47 = -4. Let l = a - 29. What is the smallest common multiple of 20 and l?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -4*c**2 - 25778240*c - 103112896 = 0.\nAnswer: -6444556, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -20905.345 times 2\nAnswer: -41810.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + (sqrt(325) + 1 - sqrt(325) - sqrt(325)))**2 + sqrt(13))*-1.\nAnswer: -209 + 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -109 or -108?\nAnswer: -109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -245*l + 4*i - 4 = -242*l - 29, -3*l + 5*i = -20 for l.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/11 (b) 0.023 (c) -2 (d) 0.1 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 21265323 (base 7) to base 13\nAnswer: 4b6c63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*w*y**3 - 151429*w*y**2 + 1447*w*y + 49*w + 3*y**3 - 6*y**2 + 66*y + 2 wrt y?\nAnswer: 24*w*y - 302858*w + 18*y - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59, -71, -103, -167, -275?\nAnswer: -439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fihfhhhehifhfet. What is prob of sequence ti?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*y - 43 - 17. Determine q so that 6\/7*q**4 - 39\/7*q + 6\/7 + 78\/7*q**y - 39\/7*q**5 - 12\/7*q**2 = 0.\nAnswer: -1, 2\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 992 = 4*k + 296. Suppose 4*s + 126 = -k. Let a be (24\/(-10))\/3*s. Calculate the greatest common divisor of a and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 6*p + 7. Let k be j(-7). Let v be (12\/21)\/((-10)\/k). Solve -5*h + 3 = -v for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 827104715 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -2*v + 296, 5*v = -3*u - 83 - 76. Let f be (-2 + u\/2)*1 + 0. Which is smaller: -161\/5 or f?\nAnswer: -161\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 16 = -x, -2*v + 15 = 3*x + 2*x. Do -1\/165 and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) 0 (c) -0.3 (d) 4\/2165151\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1648.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 + 2*s - 11. Let o = -2753\/8 + 343. Find the common denominator of o and l(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -110*t + 94. What is z(1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 846, 9494, 18142?\nAnswer: 26790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1194345744 divided by 20927\nAnswer: -57072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 375 and 240.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118126 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-2)*a)**(-42)*(a\/a**1)**26 assuming a is positive.\nAnswer: a**(-168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 21731, 21671, 21569, 21425, 21239, 21011, 20741?\n\"Answer: -21*m**2 + 3*m + 21749","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w**2 - 146*w + 1426. Let s be d(-80). Suppose -4*h + 5*q + 262 = 0, 0*h - 4*h - 4*q = -280. What is the greatest common factor of h and s?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*a**2 + 3*a**3 - 80*a**2 - 4*a**3 - 2*a**3 + 0*a**3 + 0*a**3 + (2*a - a**2 - 2*a)*(3*a - 5*a + a) + 119*a - 119*a - 30*a**3.\nAnswer: -32*a**3 - 72*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(3\/2)*(-6)\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4901890 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, r: 6, k: 3, m: 2, l: 2, o: 1}. Give prob of sequence kml.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 234906 is divided by 29355.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.011 times -277\nAnswer: 3.047","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 349205460.\nAnswer: 2, 3, 5, 521, 11171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of j**8\/80 + 3*j**4\/4 - 19*j**3\/3 + 1. Let p(t) be the third derivative of m(t). Find the first derivative of p(v) wrt v.\nAnswer: 84*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-28) - 675*(-486)\/2520 - (-4)\/7?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-2*sqrt(16) + sqrt(144)\/(1*sqrt(9)))\/(-6*-2*sqrt(392)).\nAnswer: -sqrt(2)\/84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -14eeb + 25?\nAnswer: -14ec6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.1 times -211038?\nAnswer: 443179.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 2 + 4)*(-1 + 1 - 2*b) + 275 + 524*b - 275 to v*b + g and give v.\nAnswer: 526","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 327*z**2 - 1. Let i be p(1). Let n = i - 195. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - ((2 - (-36 + 18 + 7)) + -11)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/18 and (-13)\/572*(1 + -3)*-101.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*o = -26*o. Factor c + o + 1\/2*c**2.\nAnswer: c*(c + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - -6. What is the remainder when -3 + (-41)\/(-13) + -3*1244\/(-78) is divided by a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/52)\/(-4)*-2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4685 - 4637. Solve -3*w - z = -3, 46*w = h*w + 3*z + 5 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**18\/(j*(j\/(j*j\/(j*j*(j\/j**(-2\/31))\/j*j*j)))\/j)*j**(-5\/11)*j**(6\/17))**(1\/4) assuming j is positive.\nAnswer: j**(21498\/5797)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -3*o**2 - 12*o - 19. Let k(c) = c**2 + 6*c + 9. Let h(a) = -5*k(a) - 2*v(a). Calculate h(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in 4\/7, -1, 0, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2610, 2928, 3246?\n\"Answer: 318*f + 2292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8314 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 15047 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 PM and 1:29 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1304.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/6 and 1\/8509.\nAnswer: 51054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 750 is divided by 264?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9878617.\nAnswer: 7, 53, 26627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 94.\nAnswer: 1\/94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/24)\/(2\/(-36)). Let z(r) = -998*r + 998*r + h*r**2. Let t(a) = -15*a + 2. Give t(z(v)).\nAnswer: -45*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*d**4 + 41*d - 41*d + (-d**4 + 4*d**4 - 4*d**4)*(-3 + 4 - 4) as c*d**4 + u*d**2 + a + z*d**3 + h*d and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 12 + 6 = -3*a, -j + 9 = -2*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 128147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + -4. Which is the biggest value? (a) q (b) 0.4 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 1. Let n = d + 0. Let w = 0.5 + -0.6. Which is the closest to 2\/3? (a) w (b) 0.2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-258)\/(-120) + 3\/(-4). Let w = -381\/5 - -76. Let k be ((-1)\/((-15)\/(-18)))\/((-75)\/(-250)). Which is the closest to 1\/4? (a) u (b) k (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1077133?\nAnswer: 193, 5581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17*a**2*n**2*y**2 - 2*a**2*n*y**2 + 2*a**2*n + 104*a + 413*n**2 - 30*n*y + 9*y**2 wrt y?\nAnswer: -34*a**2*n**2 - 4*a**2*n + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 538\/(-24) + (-8)\/(-12) and 92\/(-12)*6\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 10549687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -352618 divided by -14.\nAnswer: 25187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*(x**1\/x)\/x)**(8\/7))**8*((x*x*x**(1\/7)*x*x)\/(x*x\/(x\/(x*x*x**(-1\/2)))*x))**(-5\/8) assuming x is positive.\nAnswer: x**(-45\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 739595938?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (25\/(-10))\/((-6)\/4)*45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 895960615?\nAnswer: 5, 11, 113, 144161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 247\/438 - 29\/73. Which is the nearest to 4? (a) 0.1 (b) 0.3 (c) f (d) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.2, 0, 1\/16, -2\/17?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.138 (b) 5\/4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, y: 3, n: 5, k: 6, r: 1, w: 2}. What is prob of sequence xx?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50727375 is divided by 319?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-1\/24))\/(g\/(g**6*g))*g*g*g**(7\/8)*(g*g\/(g\/(g**(2\/41)*g))*g)\/g assuming g is positive.\nAnswer: g**(2923\/246)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -0*r - 3*i - 2, 2*i - 4 = -2*r. Suppose 5*o - 136 = 3*q, 1 + 5 = r*q. What is the remainder when 111 is divided by o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4821\/20 + 241. Let y = 9\/20 + g. Let q be (4\/12)\/(-8 - -7). Put y, 0.1, q in descending order.\nAnswer: y, 0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 559*l - 1116. Let h be j(2). Let d(s) = s**2 - 3*s + 2. Let i(o) = -o**2 + 2*o - 2. Determine h*i(f) + 3*d(f).\nAnswer: f**2 - 5*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 537?\nAnswer: 535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 87 (b) 43950 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18413?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 122 = -7*y, -12 + 30 = -m - 5*y - 68 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -81 - -80.922. Let n = 41828 + -41827.9220053. Let d = l + n. What is d rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -595 + 3?\nAnswer: -592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5969 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (315\/(-15) - -19)*(-10)\/8?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 641755 and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-2185))\/((-81)\/(-1539))?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of -z**2\/2 + 5*z - 3. Calculate the least common multiple of m(-7) and 14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + 6*g**2 + 16*g + 16. Let p = -21 + 29. List the prime factors of u(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of c**6\/120 - c**5\/5 - 13*c**4\/12 - 14*c**3\/3 - 22*c**2. Let o be r(14). Sort -5, -1, 3, o in ascending order.\nAnswer: -5, -1, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15503 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -257 + 255. Calculate the remainder when 51 is divided by 1037\/122 - (-1)\/v*-1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5478000 rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 57 divided by 50\nAnswer: 57\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of -3 + 21*3*(-4)\/(-6) and 13.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1383287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.3 + 4.7. Let p = -4.1 + q. Let c = p - -2.3. What is c rounded to zero decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -bc?\nAnswer: b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 161374 a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14172, 14197, 14222, 14247?\nAnswer: 14272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17952\/4488*(-17)\/2?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 30*z**2 + 27*z + 118. Calculate f(31).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 3*r = -2*f + 5, f + 3*r - 13 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 + 5190*c - 6734151. Let k(b) = b**2 - 5190*b + 6734133. Let r(o) = 7*k(o) + 6*w(o). Factor r(y).\nAnswer: (y - 2595)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 177, 173, 169?\nAnswer: 165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.1, 17270, 2 in decreasing order.\nAnswer: 17270, 2, -2.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (87\/15 + 14774\/(-1780))\/((-30)\/(-3))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 644 and 4240?\nAnswer: 682640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 9. What is the units digit of j - (-41 + 2)\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10783 is divided by 833?\nAnswer: 787","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1011.8244 + 1012. Let p = 0.19 - g. What is p rounded to 3 decimal places?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (580\/32)\/(-29)*(-8)\/10*1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9 + 6019\/663)*17\/6. Let b = -55.1 - -7.1. Is b less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/(-10)*(2 - 7). Suppose 3 = -5*k + 43. Let t = k + h. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -a + 7*n - 8, 3*a + 3*n = 21. Suppose 2*w + a = 4*w, -w = 4*m + 10399. Round m to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -550, -1521, -3140, -5407, -8322, -11885?\n\"Answer: -324*d**2 + d - 227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-0.897.\nAnswer: -3.588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2756 and 530?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jv when two letters picked without replacement from zdjgrvd.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + w - 92 = -4*q, 5*q - 12 = 13 for w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9 - ((-6 - -3) + 6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26550335700 rounded to the nearest 1000000?\nAnswer: -26550000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -347861*d - 10182. Let f be g(138). Round f to the nearest one million.\nAnswer: -48000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -6\/4681 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 85 = -20193*u + 20196*u, -f - 19 = -3*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 22\/55*(-1345)\/(-2). Let z = o + -138. List the prime factors of z.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 128 = -4*v. Let c(y) = -2*y + 31. Let r be c(13). Suppose 276 = 2*h + r*f + 91, h - 3*f - 65 = 0. What is the highest common divisor of v and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 + 1 + 20 - 3. Let w = 14 - z. Solve w = 2*m - 5*m - 9, 2*m - 3 = 3*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1796 - 1789. Is h greater than 161\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -108, -55, 40, 183, 380?\n\"Answer: j**3 + 15*j**2 + j - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + 2 + -1 - -3. Suppose -f*z - 4 - 2 = 0. Which is smaller: -4 or z?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 423511 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 243 - 232. Suppose 2*m - 4*m + r = -66, 0 = -5*m + 4*r + 165. What is the highest common divisor of x and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24446819 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 38855 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 339*g + z = 338*g + 3, -36 = 4*g - 4*z for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -3*p**2 - 30*p + 75. Let i(s) = 5*s**2 + 60*s - 150. Let z(y) = 11*f(y) + 6*i(y). Factor z(m).\nAnswer: -3*(m - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -1 + -33 + 32?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 11254030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s + 6 - 4, -3*x - 4 = -4*s for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6345967 is divided by 105766.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 6 = 74. Does 40 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100010110001 - -1000?\nAnswer: 100010111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 2 = 3*t + 8, 5*t = 4*o - 6. Solve o*u + 4 = 4*v - 2*v, -5*u + 21 = 4*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 41404787 to the nearest integer?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3678*s**3 - 79*s + 1 - 1 + 79*s.\nAnswer: 3678*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a + 4*a + 219654*a**3 - a.\nAnswer: 219654*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*z = -17*z - 5*z. Solve z = 2*b + b - 15 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 - 8*g + 5. Let f be v(-8). Suppose 5*h = f*b + 35, 9 = -h - 2*h - 3*b. Solve 5*o = -h*m - m - 31, 5*o = -25 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**2\/4 - 682*v + 2729\/4 = 0.\nAnswer: -2729, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 - 2 - 12*f + 14 - 1. Is n(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -16. Let k(m) = -3. Let b(x) = 11*k(x) - 2*y(x). Let w(n) = -n - 3. Let c(a) = a**2 - 4*a + 4. Let f be c(3). Determine f*w(j) - 3*b(j).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*i**2*x**3 + 2309017*i**2*x**2 + 2*i*x**3 + 4*i*x**2 + i*x + 2657*i + 16*x**2 + 24 wrt i?\nAnswer: -6*x**3 + 4618034*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 925 less than -3942.7?\nAnswer: -4867.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b2 + -35400?\nAnswer: -354b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-9)\/m**(-3\/5))\/(m**0)**(-4\/11) assuming m is positive.\nAnswer: m**(-42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 + -30. Which is smaller: 270 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -2*i**2\/7 - 34*i\/7 + 276\/7 = 0.\nAnswer: -23, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 0.4?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -3*c**2 + 1. Let j be f(1). Let s(x) = -5*x + 57. Let n be s(11). Suppose 5*g - 2*h + 25 = 0, 0 = 3*g + n*h - 1. Is j greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -3371183.03?\nAnswer: 6742366.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 19*g + 2 - 18*g + 5. Let m be b(-3). Calculate the highest common divisor of 28 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 1 + 1, -5*g + 4*q + 64 = 0. Let u(s) = s**3 - 12*s**2 + 3*s - 10. What are the prime factors of u(g)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30926 is divided by 3436.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 4*w - 3*w**2 + 3*w - 35 + 14 + 15. Determine t(5).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 - c**2 + c - 2. Let w = 14 - 14. Suppose 4*x + 8 = -w*x. Calculate l(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 4*a - 44. Let w be c(12). Solve 2*h + 24 = -5*p, -5*h + 1 = -w*p - 5 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dh when two letters picked without replacement from wdhwwwdwwwdddwdww.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-77*q**3 + 153*q**3 - 75*q**3 - 2*q**4)*(0 - 2 + 0)*(-3*q + 5*q - 4*q).\nAnswer: -8*q**5 + 4*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**3 - 1488*c**2 - 10563*c.\nAnswer: 3*c*(c - 503)*(c + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by 28\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c. Let y be t(5). Suppose w + 4*q - 41 = 0, -3*w + w + 4*q + 94 = 0. Calculate the highest common divisor of y and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - -66)*(-2 + 10). Suppose 0 = -4*j + z + 908. Suppose -4*w + 4*r + 496 = r, 0 = 3*w - 5*r - j. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 112.\nAnswer: -3\/112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2000*x + 3. Give n(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1849454125 to the nearest integer?\nAnswer: 43005","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 29892469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 - -11. Let h(d) = -d**3 + 3*d**2 + 3*d + 1. Is h(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 3:35 AM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x**3 - 520*x**2 - 508*x + 1032 = 0 for x.\nAnswer: -129, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -85019.161 rounded to the nearest ten?\nAnswer: -85020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-37)\/185*(-10)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 53171 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 0.1 (c) -4 (d) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3361, -3599, -3995, -4549, -5261, -6131?\n\"Answer: -79*g**2 - g - 3281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 140861557 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12341 a factor of 2741546517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6543674 nanograms to micrograms.\nAnswer: 0.0006543674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*m - 45*m + 20*m + 2464*m**2.\nAnswer: 2464*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 1:13 PM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 5*r**3 - 2*r + 1. Let o be m(1). Let f = 9 - o. Find the third derivative of 1 - 1 + q**f + 2*q**2 wrt q.\nAnswer: 60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3138593063 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 i when four letters picked without replacement from innninnnininin.\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (10\/(-40) + (-7)\/(-4))*44. Let m = 70 - n. Differentiate 8 + 3 - 6*i**4 + 4*i**m with respect to i.\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**2 - 7240*h - 7235.\nAnswer: -5*(h + 1)*(h + 1447)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of 4*n + 5\/2*n**2 + 5\/6*n**3 + 0 + 1\/4*n**4. Let y(m) = m**2 + 2*m + 2. What is 2*k(c) - 5*y(c)?\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 PM and 10:59 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5790 and 33389.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 53*f**2 - 794*f + 8071. What is the tens digit of j(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35.694 + -36. Let l = 33.34 - 33. Let t = v + l. Round t to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*k**6*y**2 + 3*k**4*y**3 - 14*k**2*y**2 - 2*k**2 + k*y**3 wrt k?\nAnswer: -600*k**3*y**2 + 72*k*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 b when three letters picked without replacement from {a: 1, f: 4, y: 2, b: 6}?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -12. Let z = -8 + t. Suppose -g + z*g = -3*a + 100, 4*g = 4*a - 144. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1745 or 1746?\nAnswer: 1746","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24348 = 21*j + 7296. Suppose 15*r + j = 7817. List the prime factors of r.\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -49.1 - -49. Let n be 16\/6 - 2\/(-10 - -22). What is the fourth biggest value in 0, -2\/9, n, p?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 3\/4, -20, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g - 528 = 297. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 4:18 PM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 + (-16)\/(-4) + 180. Let v = x - 1313\/7. Let o = -22\/65 - -7\/13. What is the closest to -3 in o, -0.5, v?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 864971 to the power of 1\/2, to the nearest integer?\nAnswer: 930","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1065 (b) -4.17 (c) -24 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125 = 3*u - 202. What are the prime factors of u?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*b**6 + 820*b**5 + 121259*b**2 wrt b?\nAnswer: 1440*b**3 + 49200*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -320 = -4*y - 3*h - 298, 5*y - 24 = -2*h for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-192)\/(-10))\/(90\/300)*(-2)\/(-8). Suppose 359 = -3*g - 2*o + 2127, 2356 = 4*g + 3*o. What is the greatest common divisor of g and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.12 (b) -1 (c) 4 (d) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 - 23. Let j(i) = 6*i - 3. Let p(w) = -1. Let x(d) = j(d) - 2*p(d). Give x(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/6*(-2736)\/(-5320) + 20\/(-7). Sort g, 1, 12, -10 in increasing order.\nAnswer: -10, g, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p - 10. Let d be j(-13). Suppose d*i + 4*l - 1189 = 0, -2*i - 3*l + 1188 = i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 AM and 2:51 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of (-6)\/48 - (-3042)\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/9 (b) -8 (c) 3 (d) 0.404\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 126 - -54. Suppose -5578 - 126107 = -433*z + 50175. What is the greatest common divisor of z and l?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 7682\nAnswer: 7682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 43*n*q**2 - 599*q**2 wrt n?\nAnswer: 43*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 5. Suppose 8 = -12*a + 44. Let v = 0.066 + 0.034. What is the closest to u in v, a, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243) + sqrt(243)*-2)**2 - -5*(-1 + sqrt(3))) + -2 + sqrt(36)\/(-2*sqrt(12)) + (sqrt(243) + 2 + 2 - 3*(sqrt(243) + sqrt(243) + 2))**2.\nAnswer: 369*sqrt(3)\/2 + 6315","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 52 = 19*x - 28. Which is smaller: x or 1\/3515?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 108604.99474217.\nAnswer: 108607.99474217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -114 and -417341?\nAnswer: 47576874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 7 = -r - 4, -5*n = 2*r - 18 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 5. Suppose -o*q = -5*q + 7. Calculate the remainder when q is divided by (4 - 2)*(1 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 21*z + 32. Suppose 11 + 24 = -3*i + 2*g, -4*i = -4*g + 40. Let c = i - -28. Is w(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367526927 to the power of 1\/3, to the nearest integer?\nAnswer: 716","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126170 is divided by 25234?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 5*g + 3652 = 3833, 2*g + 82 = 4*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*y + 886 - 863 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 17965648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**5*b**(2\/9)*b**(-7)\/b*b**(1\/9) assuming b is positive.\nAnswer: b**(-35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/(5\/6) - 33\/6. Sort 0, s, -4.\nAnswer: s, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 3*p**3\/7 - 4125*p**2\/7 - 156732*p\/7 = 0.\nAnswer: -37, 0, 1412","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 74*a**2*p**4*v + 2*a**2*p**2 - a**2*v + 3*p**4*v - p*v wrt p?\nAnswer: 1776*a**2*p*v + 72*p*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/2 in 0.3, 25, -0.05, 4, -30?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*j + 76*j - 12*j to c*j + p and give c.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -94, -255, -482, -781, -1158?\nAnswer: -1619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4160065 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*f + 255 = -33*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -60*r + 3. Let q(j) = -30*j + 2. Let p(s) = 5*q(s) - 3*z(s). Let w be 6\/(-9) - 33\/(-9). Is p(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 - 42 - h**2 + 2*h**2 + 16.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - 9.7. Let n = w + -1.2. Which is the nearest to n? (a) -2\/9 (b) -5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 4*r**2 + 29*r - 5. Let c(m) = -2*m**2 - 13*m. Let k(q) = 5*c(q) + 3*s(q). Give k(-11).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -33 + -3919?\nAnswer: -394c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9707)\/1394 + 8 + (-2)\/2. What is the closest to 0 in w, 0.3, 0.5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 273 is divided by 44?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in -3\/4, 0.9, -0.2, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of w**5\/35 + w**4\/28 - w**3\/21 - w**2\/14 - 11. Solve v(u) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 9*m**2 - 14*m - 78. Let z(n) = -4*n**2 + 9*n + 40. Let a(b) = -3*d(b) - 7*z(b). Solve a(r) = 0 for r.\nAnswer: -2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen halves of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 618748193.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32881 + 32881. What is the closest to p in 0.3, -2\/9, -0.04, -3\/2?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -4*q**3 + 66*q**2 - 60*q - 2. Let m(z) = -22*z - z - z**3 + 13*z**2 + 11*z. Let h(b) = -11*m(b) + 2*x(b). Factor h(l).\nAnswer: (l - 2)*(l - 1)*(3*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (28\/(-4))\/(0 + -1). Let b(f) = f**3 - 6*f**2 - 6*f - 10. Let z be b(x). Sort z, 0.2, 2 in descending order.\nAnswer: 2, 0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -330, -327, -324?\n\"Answer: 3*y - 333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m**3 + 9*m**2 - m - 6. Let q be c(4). Calculate the remainder when (-38)\/(-228) - (-119)\/q is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1460*m - 195*m - 878*m - 204*m - 209*m.\nAnswer: -26*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 2350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-255)\/1326*42 - (-10 - -1)?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4138 + -1892. Is i a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 2838?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 49 - 42. Let j = q + -5. Suppose j*b - 78 = b. Does 26 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-8))\/((-36)\/48).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12911860*a*z**3 + 745*a + 2969 wrt z.\nAnswer: 38735580*a*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5934264*x**6 - 2761981*x**2?\nAnswer: -712111680*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 3)*(-3*y - 3*y - 5*y) + (-2*y + 0*y + 3*y)*(-2 + 2 - 1).\nAnswer: 21*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 195\/6*(-104)\/(-65)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/136 and 121\/72.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, 5, 24, 47, 74, 105?\nAnswer: 140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54 divided by -18.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of -3*w**2\/2 + 279. Let z(p) = 1371*p**2. Calculate d(z(x)).\nAnswer: -4113*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2763 a factor of 19531647?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**2 + 29*z + 39. Determine s(-13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 476*l**2 - 4*l - 79. Let i(p) = 2*p + 1. Let z(t) = -b(t) - 2*i(t). Let u(v) = -25*v**2 + 4. Calculate -77*u(y) + 4*z(y).\nAnswer: 21*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28*a - 20*a**3 - 10*a**3 - a + 18*a**3 wrt a.\nAnswer: -72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -347, 18, 383, 748, 1113?\n\"Answer: 365*n - 712","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(7 + -9) - 1. Sort 2, r, 3, -3 in ascending order.\nAnswer: -3, r, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -152, -140, -128, -116?\n\"Answer: 12*q - 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*g + 305 + 87. Let x = -47 - g. What is the lowest common multiple of 12 and x?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, -4, -18, 14, 73 in descending order.\nAnswer: 73, 14, -2, -4, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(3\/9*-1). Suppose 5*d + 4*t = 22 + 5, -d = u*t - 12. Let w be d\/(-5) - (-63)\/5. What is the greatest common factor of w and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1149572 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/((m\/m**18)\/m))**45*m**(-29)*m**(1\/22))**(7\/3) assuming m is positive.\nAnswer: m**(127211\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -5*o + 45, 0*x = -o - 2*x - 6. Let i(q) = -q**3 + 4*q**2 + 6*q + 2. Let h be i(5). Let t = 12 - h. What is the lowest common multiple of o and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of 2*u**3 - 34*u**2 - 320*u. Give h(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 3, 6, -3, -4 in ascending order.\nAnswer: -15, -4, -3, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -55, -100, -163, -244, -343, -460?\nAnswer: -595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, g: 1, f: 1, l: 4, m: 3}. What is prob of picking 1 f, 1 g, and 2 m?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156122?\nAnswer: 2, 251, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z - 1103 = -1067 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 60515.36 grams?\nAnswer: 60515360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -266 = -1112*g + 1074*g for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 AM and 4:53 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.6 + 1.55. What is the third biggest value in n, -4, 0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) + -1 + sqrt(320) + sqrt(5))**2*-2 + (sqrt(20) - (2 + sqrt(2420))).\nAnswer: -2894 + 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24 - -23. Let t(z) = 9*z**2 - z. Determine t(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + -1 + -3 + 9. Suppose 1 + n = j. Suppose 5*z - 19 = f, 0*f + 31 = 5*z - 4*f. Solve -8 = -j*l + z*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-4)*-12*87\/(-174).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - 5*o + 0*o)*(-2*o**2 + 6*o**2 - 3*o**2) + (3 + 0 - 5)*(12*o**3 + 29*o**3 + 36*o**3).\nAnswer: -156*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 0 - (-6 - -12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -264, -1\/2, 7\/3, -31?\nAnswer: -264","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 2*s**5\/7 + 4*s**4 + 16*s**3\/7 - 1024*s**2\/7 - 3072*s\/7 = 0.\nAnswer: -8, -4, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 - 13. What is the least common multiple of s and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 816 and 2885886?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -77\/9 (b) 0.3 (c) 0.06 (d) -0.08 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 57 - 57. Suppose 38 = 3*r - t*r - 5*a, -5*a + 10 = 0. Let g(j) = 10 - 10 - r*j. Let c(w) = w**2. Calculate g(c(i)).\nAnswer: -16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2547389 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1278 + 15782*m**2 + 565 + 713.\nAnswer: 15782*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 3*b**2 - 5*b - 5. Let y(s) = 12*s + 8*s - 14 + 8*s**2 - 34*s. Determine -14*g(u) + 5*y(u).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 68398177 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 2*y**5\/9 - 92*y**4\/9 - 496*y**3\/9 - 236*y**2\/3 - 34*y = 0.\nAnswer: -3, -1, 0, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -492804000 to the nearest 1000000.\nAnswer: -493000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1622 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -163650, -334314, -504978?\n\"Answer: -170664*o + 7014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 - (25 + (13 - 44))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + 631?\nAnswer: 630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1503 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38, -67, -98, -131, -166, -203?\nAnswer: -242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11.26472 + 0.01472. Let m = -0.25 - 0. Let t = m - s. Which is smaller: 0.2 or t?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-954)\/36)\/53*1*10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 326665 + 111?\nAnswer: 330106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 225\/35 + 21\/3*-1?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence blb when three letters picked without replacement from aadabaabdadlfadaabad?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 4:20 AM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -485*t + 195 = -488*t. What is the third biggest value in -4, t, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -14\/253 and -15\/92.\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w**(1\/14)*w)*w**(-12))**45)**(-2\/41) assuming w is positive.\nAnswer: w**(7605\/287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -169*f**2 + 9*f. Give u(3).\nAnswer: -1494","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -8*o**2 + 5*o**2 + 5*o**2. Let q(j) = -2*j**2 + 2*j**2 - 3*j**2. What is n(q(x))?\nAnswer: 18*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3919 = 2*w - 959. Let s = w - -3137. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20\/(-24) + (-28763)\/(-42)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 463374 is divided by 5092.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -108693 divided by 2787.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 46*k**3 + 5*k**2 - 5. Let t(d) = -23*d**3 - 2*d**2 + 2. Let x(f) = -2*f**3 - 21*f**2 - 52*f - 2. Let o be x(-4). What is o*z(l) - 5*t(l)?\nAnswer: 23*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**5 + 13*v**4 - 81*v**3 + 155*v**2 - 124*v + 36 = 0 for v.\nAnswer: -18, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*h**4 + 355*h**3 - 11 - 355*h**3 with respect to h.\nAnswer: 44*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5448.521l in millilitres?\nAnswer: 5448521","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -8*u + 45. Let v = -214 - -220. Let y be z(v). Let a(m) = -2*m**2 - 5*m - 3. What is a(y)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-5)*s)\/(s*s**(1\/15)) assuming s is positive.\nAnswer: s**(-76\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -1. Let o be t\/2*-2*-13. Suppose 3*j - 5*f - o = 10, 4*j = 5*f + 48. Is 9 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 159 = -5. Let x = m + -17. Suppose -x*g = -g - 156. Does 10 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 578*w**2 - 870*w.\nAnswer: 1156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 334 is divided by 48?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9402 - 18723 + 9321 - 12*g**3.\nAnswer: -12*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1136, -1151, -1172, -1199?\n\"Answer: -3*f**2 - 6*f - 1127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7855863751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18257967 and 393843.\nAnswer: 7431","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + -1)\/(1\/(-1)). Solve 4*c + h = -3*f + 20, 0 = -f + 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + 6*v**2 + 2*v + 9. Does 161 divide w(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of 0 - 48*s**2 + 0*s**3 - 1\/70*s**5 + 0*s + 1\/420*s**6 + 0*s**4. Factor v(i).\nAnswer: 2*i**2*(i - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76956 is divided by 46?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 4*z**3 + 1184*z**2 - 12140*z + 30600 = 0.\nAnswer: -306, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.27 - 7.27. What is the third smallest value in 16, s, -3?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, k: 1, o: 4, x: 3, h: 2}. What is prob of sequence oho?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 AM and 3:51 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -733*y + 1093 - 1093 + 239*y - y + 3 - 3 + (3*y - y + 0*y)*(5 - 2 - 2) + y + 4*y - 3*y in the form z*y + t and give z.\nAnswer: -491","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6239988 a multiple of 1251?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (52\/(-48))\/((-7)\/((-42)\/(-2))).\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 500 = -m. Suppose -196 = -0*w - 5*w + 2*k, -5*k = 2*w - 90. What is the greatest common divisor of m and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2415 - -36616. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of w**5 + 20*w**3\/3 - 6*w**2. What is the derivative of q(a) wrt a?\nAnswer: 120*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (7 - 7)*(-5)\/25. Suppose 5*l + 5*u - 48240 = -z*u, 2*l + u - 19291 = 0. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/4864 and -9\/753536.\nAnswer: 28634368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5163460 to the nearest integer?\nAnswer: 2272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 140 divide 55059?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b0 + 528?\nAnswer: 438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -184 + 186. Let y(j) be the second derivative of 6*j + 0 - 4*j**c - 1\/2*j**3. Differentiate y(u) with respect to u.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3\/10, -35\/9, 1, 0.12, -0.1?\nAnswer: -35\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 4 = 3*i - 4*b, 4*b = 16. Let d be (0\/i)\/3 - (0 - 18). Suppose 23*z - d*z = 660. What are the prime factors of z?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2723 + 18*q**2 - q**3 + 3*q**3 + 2725 as z*q**3 + p*q**2 + r*q + w and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 851571318 to the power of 1\/2, to the nearest integer?\nAnswer: 29182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1*((sqrt(7) + -2*sqrt(112) - (3 + sqrt(21)\/sqrt(3)))**2 + 4 + sqrt(49)\/(sqrt(21)\/sqrt(3))).\nAnswer: 49*sqrt(7) + 462","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10303444 (base 5) to base 7.\nAnswer: -514362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*j*m**3 - 476*j*v**3 - 481*j + 15*m**3*v**3 + 8*v**2 wrt v?\nAnswer: -2856*j + 90*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.05 (b) -2\/11 (c) -4 (d) 2\/25 (e) 2\/27 (f) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - u = 3*i + 16, 3*u - 22 = 2*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 4 (c) -65\/6 (d) 0.1 (e) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 13 - 1809*p + 228*p.\nAnswer: -1581*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 + 219*v + 3061. Let j be s(-15). Put j, -2, 134, 6, 5 in increasing order.\nAnswer: -2, j, 5, 6, 134","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2165800 is divided by 11050?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38, 334, 1076, 2444, 4618, 7778?\nAnswer: 12104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.118, -3\/10, 1?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -5*q**2 - 31*q - 226. Give c(0).\nAnswer: -226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 58*x**2 + 6*x - 19. List the prime factors of p(5).\nAnswer: 3, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 432*o - 1 + 1 + 650*o + 0.\nAnswer: 1082*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*m = -63*m + 287546. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/2)\/((-1)\/(-34)). Let s be (-110)\/6*(w - 957\/55). Factor -4*t + 2*t**3 + s*t**2 - 16\/3.\nAnswer: 2*(t - 1)*(t + 4)*(3*t + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12657154.\nAnswer: 2, 19, 397, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 5*j - 4340 = 0. Round j to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7130*o = 387*o + 144151 + 78368 for o.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 88 - 51. Is 16 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*j - 4*j + 3*j)*(0 + 8 - 2) + 5 + 19*j - 7 + 10*j as d + o*j and give o.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.189688607 and 0.3.\nAnswer: 0.110311393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22\/391 - 35991\/34408. Calculate the common denominator of -97\/44 and s.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 + 6*t + 3. Determine z(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1 (b) 2037 (c) -6.4 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, c: 3, o: 1, j: 5, x: 8, w: 1}. Give prob of sequence bjo.\nAnswer: 1\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*x + 393*x = -9396 for x.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 169 + -88. Suppose -d*i = -80*i - 7. Suppose -15*p - 4 = -17*p. Put 1, p, i in descending order.\nAnswer: i, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 264 and 6.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1066 by 111.\nAnswer: -1066\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -129 + 1797\/14. Let d = y - 113\/42. Calculate the common denominator of d and -26\/57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 230, 444, 642, 818, 966?\n\"Answer: -n**3 - 2*n**2 + 227*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.20591 to three decimal places.\nAnswer: 0.206","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*o)*(3*o**4 + o**4 - 3*o**4) + 9592*o**5 - 3240*o**5 - 4944*o**5.\nAnswer: 1410*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-16)\/16)\/(3\/27))\/1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of h**2\/2 - h + 9. Let n(v) = 17*v - 4. Let a(g) = n(g) - 5*u(g). What are the prime factors of a(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from {j: 4, n: 6}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13628843*f**2 - 1796081*f + 3?\nAnswer: 27257686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ura when three letters picked without replacement from paaaauprruauuap?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gmj when three letters picked without replacement from hhhhhjjhjhgmhhjhjhg.\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 + (14 - 18) - 2) + -2 - (-24 - -1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((t + t - 4*t)*(-4*t - 2*t + 5*t) + 5*t**2 + 0*t**2 - 3*t**2)*(-2*t + 1 - 1)*(1 + 2 - 1).\nAnswer: -16*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from drddjrdrrprggg?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.34 + 0.14. Let r = 5 + -6. Which is the closest to -2\/3? (a) p (b) r (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27261 and 30057?\nAnswer: 1172223","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -6. Is l\/(-6) + 400\/12 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 163\/15 - 32\/3. Sort -1, c, -0.2 in descending order.\nAnswer: c, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiieiiiieeiiei. What is prob of sequence ii?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 869, 2610, 5219, 8696, 13041, 18254, 24335?\n\"Answer: 434*q**2 + 439*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7)\/7 + (-5)\/(105\/(-27)). Put t, -2\/11, -0.2, 216\/13 in decreasing order.\nAnswer: 216\/13, t, -2\/11, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 - 13*c. Let t(i) = 5328*i**2 + 1560*i. Calculate 120*k(m) + t(m).\nAnswer: 5208*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10204164*z - 69*z**2 - 143*z**2 - 10204067*z.\nAnswer: -212*z**2 + 97*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/12312 and -83\/5364?\nAnswer: 1834488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 7:29 PM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 74 and 602064.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 210.2064 * -1\nAnswer: -210.2064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1353899 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 215*f - 114*f - 109*f.\nAnswer: -8*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 477.78 to the nearest 10.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -7, -43, -105, -205, -355, -567?\n\"Answer: -2*w**3 - w**2 - 19*w + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(3*(-25)\/(-30)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 46\/10 - 4\/(-10). Is 13 a factor of 2\/c - (-189)\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + (0 - -1) + (-13 - -16). Solve m = -j + 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(5\/2255*55*(3\/(-5))\/3)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l - 4. Let s(q) = -167*q - 16. Calculate 4*c(w) - s(w).\nAnswer: 163*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (239\/1195)\/(1\/6415) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 315 and 207.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of -7*j**4\/24 - 3*j**3 + 14*j**2. Suppose -5*z = 10 + 5. Let v be c(z). Solve -g + 5*w = 2*w + 11, -v*w = -3*g - 9 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41122 (base 9) in base 5?\nAnswer: -1331244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -4*o**2 + 3*o - 3 + 3*o**2 - 2*o**3 + 4*o**3 - 2*o**2. Let h be k(2). Suppose -2*c + h = 1. Solve 2*u + v - 2 + 6 = 0, -7 = c*u + v for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(3\/4)*i*i**(-2\/11)\/i*(i*i*i**2\/i)\/((i**7\/i)\/i))**(2\/103) assuming i is positive.\nAnswer: i**(-63\/2266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -10 - 8 - 12 + 0 + 24 + 2*g. Determine y(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 3*l - 9 = 0, 2*l - 7 + 1 = 5*n. Let c(m) = -5*m - 7. Let i(v) = 11*v + 15. Suppose 0 = -2*u + 2 - 20. Let h(k) = u*c(k) - 4*i(k). Calculate h(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 3*k. Let t(m) = -143*m**2. What is t(o(u))?\nAnswer: -1287*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143472 = 12*q + 14196. Is 57 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 + 26. Suppose -20 = 2*o - 3*q, -5*o - q + 0 = 33. Is 16 a factor of r\/(-6)*o*4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 + 4*k**2 + 5*k + 3. Let m be -3 + (-1 - 1 - -10). Let n be s(m). Find the second derivative of 0*l**n + 2*l + 5*l**3 - 4*l**3 + 3*l**3 wrt l.\nAnswer: 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 + 12. Let t(a) = -8 + 5 + 2*a**3 + 3*a**3 + 5*a**2 - 5*a - 4*a**3. What is t(v)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4776 divide 386459592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3105*a**3*g**3*m**2 + a**3*m**2 - a**2*m**2 - 16583*a*m**2 + 2*g**3*m**2 wrt a.\nAnswer: 18630*g**3*m**2 + 6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 22.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -8088250, -32352958, -72794130, -129411760, -202205842, -291176370?\n\"Answer: s**3 - 8088238*s**2 - s - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4741170, 4741172, 4741174, 4741176, 4741178?\nAnswer: 4741180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zjkjcjzfzzzukzffz. Give prob of sequence jk.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35 (base 7) to base 3.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-28)\/245 - 2\/(-5). Let y = -200 + 180. Which is the biggest value? (a) 0.1 (b) i (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1458.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -296*u - 260*u + 9418 = -2*u for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4350547 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**9\/w*w\/(w**(-24)\/w*w)*w*w**(-2\/25)\/w*w**11)**(-45) assuming w is positive.\nAnswer: w**(-9882\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000206871357 rounded to 6 dps?\nAnswer: 0.000207","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 - 40 = b - 5*c, -14 = 5*b + 2*c for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 PM and 1:12 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + (9 - (-10 + 27)) + (0 - -1).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3788517 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -16*z. Let u(x) be the third derivative of 0*x**4 - 1\/30*x**5 + 0*x**3 + 0*x + 0 + 28*x**2. Determine u(p(o)).\nAnswer: -512*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 9. Let w(h) = i + 1 - 7*h**2 - h**2 + h**3. Is w(8) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, w: 1, x: 1, v: 1}. Give prob of picking 1 w and 1 c.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 96864137 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 7*i**2 - 7*i - 3. Let p be n(-6). Suppose -2*k = -3*f - 7, p*k = -0*f + 3*f + 12. What is the least common multiple of 77 and f?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -84, -1.32881, 7 in increasing order.\nAnswer: -84, -1.32881, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -z + 160, -4*z + 4*s = -0*z - 740. Suppose 5*y - z = 5*o, o - 29 = -2*y + 49. What are the prime factors of y?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3004\/760 - (3 - (0 - 1)) and -47\/171.\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 20.4 to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 874.6907.\nAnswer: 437.34535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -56 - -103. Calculate the remainder when t is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2340323057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + 9\/6 + 35\/(-10). Let l(n) = -8*n + 7*n + z*n - n. Let i(c) = -3*c + 1. Calculate i(l(o)).\nAnswer: 6*o + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6450788, -6450800, -6450820, -6450848, -6450884?\n\"Answer: -4*f**2 - 6450784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 16*y - 46. Let o(m) = -5*m + 15. Let w(q) = 2*i(q) + 7*o(q). Suppose d + u + 10 = 0, u = -5*d - 19 - 31. What are the prime factors of w(d)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -73, -52, -31?\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -19*m - 48. Let k(o) = -o**3 - 3*o**2 + o - 3. What is k(m)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r**3 + 4*r**2 + 4*r. Let q(o) = 3*o**3 + 8*o**2 + 8*o + 1. Let d(x) = -5*i(x) + 3*q(x). What is d(5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.5664 times -5\nAnswer: -7.832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z**3 + 31146031663 + 5*z**3 + 2*z**3 - 31146031663.\nAnswer: 5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4627971 = -4*h + 3*p + 4627928, 9*p - 49 = 4*h for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/173288 and -93\/16.\nAnswer: 346576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*i + 162 = 43 - 91 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 744893 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -15 + -3770?\nAnswer: -3785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = -z + 4, 89 - 61 = 3*z + 2*l for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19480939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 - 0.8. Let n = t - 1.4. Let d = n + 1.9. Which is the smallest value? (a) d (b) -4\/5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.8 and 44.1.\nAnswer: -35.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*d + 7*d + 8*d + (1 - 5 + 3)*(-d + 3*d + 0*d) in the form t + n*d and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 plus 292157.6?\nAnswer: 292167.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 414*k - 414*k - 4*k**2.\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 64489376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 17*l - 1. Let d(f) = -18*f + 1. Let s(o) = -3*d(o) - 4*i(o). What is the remainder when (-53 - -803)\/(-50) + 139 is divided by s(-3)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -87.08155 + 58.08312. Let i = -29 - j. What is i rounded to four dps?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -3 + (-10 - 60) + 2 + 9?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -4*c - 42. Let n(f) = 10*f + 29. Let o be n(-4). Let x be a(o). Is ((-1)\/x)\/(21\/(-28686)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = -y - 18, -275*r + 270*r = 21*y - 15*y + 32 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 213 - -10?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b - b - b + (-2 - 2 + 3)*(-5 - b + 5) + (-1 - 3 + 6)*(2*b + 0*b - 4*b) + 2 - 2 - 4*b as w + i*b and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/5)\/((-12)\/180*-6).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -708 rounded to the nearest ten?\nAnswer: -710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -5*s + 1. Let c be z(-1). Let w(j) = -j**2 + 2*j**2 - c*j - 2*j**2 + 1. Suppose 5*y + 28 = 4*o, 2*o + 3*o = -4*y - 6. Give w(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1458.3 - -1458.12. Which is the biggest value? (a) 0 (b) -0.2 (c) p (d) 1 (e) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 + 4*c**2 + c + 3. Let d = -11 - -7. Let b be m(d). Let i = 6 - b. List the prime factors of i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13286 - 13288. Which is the closest to -2? (a) 0.022 (b) -2\/3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 17 = -5*u, 3*r - 6*r - 14 = -4*u. Solve 0 = -4*t + 3*t + r*x + 2, t - 5*x - 8 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of 2091*j**5\/20 - 2084*j**2 - 461*j - 1. Differentiate u(m) with respect to m.\nAnswer: 6273*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*1*sqrt(8208) - ((sqrt(8208) - sqrt(8208)*2)*5 + sqrt(8208) - sqrt(8208)))\/((sqrt(18) + sqrt(18) + 2*sqrt(72))\/sqrt(6)*-1).\nAnswer: -8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -25 + 5ac6?\nAnswer: 5aa1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3447 or 3442?\nAnswer: 3447","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 + 19*a - 10. Let g be k(16). Suppose 0 = 36*u - g*u + 958. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1\/3, -5, 9\/5, -2, 5, -2\/9 in decreasing order.\nAnswer: 5, 4, 9\/5, 1\/3, -2\/9, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 235 + -262.5. Round z to 0 decimal places.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 115\/30 + 1\/6. What is the tens digit of 52 - -2 - 0\/a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -12\/7381?\nAnswer: -12\/7381","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 + -2840787158760.6.\nAnswer: -2840787158760.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of 921*w**2\/2 - 1696*w - 6997. What is the derivative of t(p) wrt p?\nAnswer: 921","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 - -0.0392. Let v = d + 0.06. What is v rounded to four decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -90 + 89.9998697. Round z to six dps.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -390 by -6.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -69 - 77 + u + 33*u**4 + u**3 + 144 to the form o*u**3 + r + h*u**2 + w*u + k*u**4 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 o when two letters picked without replacement from {d: 2, x: 3, o: 5, r: 5, n: 4}.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {x: 5, s: 7}.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w + 100. Suppose 0 = 2*k - 4*y + 76, -6*k = -2*k - y + 138. Let r = 34 + k. Calculate the remainder when v(r) is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/13, 0, 2\/11, -4, -10?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -7*s + 49. What is y(11)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - 7. Let l = -20.2 - -20.2. Which is the closest to l? (a) -1\/6 (b) 0.5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22418857*q**3 - q**2 - 14217062*q wrt q.\nAnswer: 134513142*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tz when two letters picked without replacement from {z: 2, t: 1, w: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 - 122*t**2 - 9*t + 39. What is h(0)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.41 times -84694?\nAnswer: 34724.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*(11 - 1) - 2. Calculate the common denominator of 3 + (-15 - (17085\/110)\/(-17)) and 1418\/(-1260) - c\/28.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - 7*w**2 + 5*w + 14. Suppose 0 = -2*n + 12*n - 60. Let c be v(n). Suppose 0 = -7*z + c*z - 72. What is the highest common factor of 18 and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2342335 take away -0.7?\nAnswer: -2342334.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2030738 is divided by 2409?\nAnswer: 2360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -25*(0 + (-1)\/(-1)). Let p be (-130)\/f + (-1)\/5. Suppose 10 = p*g - 0. Let s(i) = i + 2. What is s(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = t + 1243, -13*t + 10*t - 297 = -p. What are the prime factors of p?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 2\/11, 3, -0.4, 0.02 in descending order.\nAnswer: 3, 1, 2\/11, 0.02, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -47a9 (base 12) to base 14\nAnswer: -2d0d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j and 1 u when four letters picked without replacement from {u: 3, j: 5, a: 1}?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-118)\/2832 - 73\/(-24). Solve -y*v + 2*j = -7*v + 16, 0 = 3*j + 6 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -733, -724, -709, -688?\nAnswer: -661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4 + 14*r**3 + 14*r**3 + 15 - 12 + 2*r wrt r.\nAnswer: 168*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, s: 1, u: 1, i: 1, y: 2, j: 1}. What is prob of picking 1 u and 1 i?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 35\/32, 37, -5 in increasing order.\nAnswer: -5, 35\/32, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*l**3*t**3*y**3 - 4*l**3*t**3 - 5*l**2*t**3*y**2 - l**2*t**3*y - 40*l*t - t*y**3 wrt l?\nAnswer: -42*t**3*y**3 - 24*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90 = -566*n + 584*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3038916?\nAnswer: 2, 3, 253243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 + 17.3. What is the second biggest value in 4, 6, y?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 3*z - 15. Suppose -5*v - z = 0, w = 5*w - v - 39. Calculate the remainder when 16 is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of 8339*h**4\/24 + 17*h**3\/6 + 2*h**2. Suppose 2 - 5 = r. Let p be c(r). What is p rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gcc when three letters picked without replacement from {r: 2, g: 2, c: 2, f: 1, s: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34 + 31. Which is the biggest value? (a) s (b) -5 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 51 - 0 - (-4591 + 4518).\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123094 is divided by 61534?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -136, -10.253, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1894344 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = 5*o + 6, -2*o + 4*w - 1142 + 1130 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 199 + -170. Suppose -v - 351 = -4*w. What is the biggest value in 0.2, 3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.1 - 2.9. What is the third biggest value in p, 5, 5\/3, -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*k - 16*k - 46208 = 0. What are the prime factors of k?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 36624 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3944*s**2 + s + 43106 wrt s.\nAnswer: -7888*s + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -3. Let l(c) = c**2 + 16. Let o = -38 - -27. Let d(z) = o*u(z) - 2*l(z). Find the first derivative of d(b) wrt b.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 623482794?\nAnswer: 2, 3, 11, 107, 29429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/4*(-10)\/360*-16?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*y = -1498 + 1218 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -x, -i + 4*x + 37 + 29 = 0. What are the prime factors of i?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 12:59 PM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8240*t - 7474 wrt t?\nAnswer: 8240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7787280 and 1045?\nAnswer: 1627541520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5833, 11735, 17635, 23533, 29429, 35323?\n\"Answer: -u**2 + 5905*u - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 128030 a multiple of 295?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -644c (base 13) to base 10\nAnswer: -13922","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1044979?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176213.\nAnswer: 176213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 3*j**2 + 2*j. Let f be s(1). Let n = 1 + f. Let w = 17 - 12. Solve w*p + 2*b = n*b + 20, 5 = 2*p - b for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((3\/(-99))\/(35\/(-210)))\/(18\/22). Which is the second smallest value? (a) -0.1519 (b) m (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2299376068?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-387)\/5 - 263687\/(-77555).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 PM and 6:48 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 401 = -112*j + 1409 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149384 is divided by 4268.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2605*a**4 - 2600*a**3 + 5*a**2.\nAnswer: -5*a**2*(a + 1)*(521*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(4\/15)\/y)**50*(y\/y**15)**(1\/23) assuming y is positive.\nAnswer: y**(-2572\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/21 of a week?\nAnswer: 57600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1895380*1.\nAnswer: -1895380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 PM and 8:59 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 44174601 to the nearest integer?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 33 - 17. Suppose 4*r - g = -4*s, 0*s + 3*r + 37 = 4*s. Suppose s*n - 19 = 93. Solve 0 = -3*d - d + n for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18.1 + -18. What is the second smallest value in i, -0.3, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48 and 66?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11994 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -58 + 58.002. Let x = 4.002 - j. Let g = 0.1 - -0.1. Which is the third biggest value? (a) g (b) 0 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 140, -1\/2, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.14 in -0.2, 0.054, -3\/4, -9, 642?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 23 = -3*h - 4, -5*j = -3*h + 25. Let d(r) = 2*r - 2. Let s(l) = -7*l + 7. Let p(z) = 22*d(z) + 6*s(z). Give p(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 809.161 rounded to zero dps?\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x. Let i(h) = -5*h - 9. Let y(q) = q + 2. Let z(a) = -4*i(a) - 18*y(a). Calculate z(w(b)).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, 3\/2, 5, -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 265 and 187090?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + (-1 - 0) + (-18 + (26 - 49) - 118)?\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3385, 3350, 3293, 3214, 3113, 2990?\n\"Answer: -11*c**2 - 2*c + 3398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 0*y + y + 119 - 40 - y**3 + 0*y. Is a(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -151, -28, -15, -8.\nAnswer: -151, -28, -15, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/(-45) + (-6)\/27. Solve -3*u = 9 - n for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 18, 35, 64, 105, 158, 223, 300?\n\"Answer: 6*d**2 - d + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15815.7541 rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4318\/9 + -479. Suppose 1627 = w + 278. Let d = w - 12104\/9. Find the common denominator of d and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -1025*z - 103558. Determine o(-101).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 243 + 53 = 0. Let v be 3*(-1 - 3)*3\/(-18). Suppose 0 = v*j + 3*j - r. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11 and 53573?\nAnswer: 589303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.9 - 0.1. Let r = -0.8 - 2.2. What is the second smallest value in r, 4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/70657 and -64\/3.\nAnswer: 211971","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -110 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 4*c = 0. Solve 12*u + 9*u**2 - 4*u - 3*u**4 + 6 + c*u**4 - 3*u**3 + 7*u = 0 for u.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -96718, -96724, -96742, -96778, -96838, -96928, -97054, -97222?\n\"Answer: -u**3 + u - 96718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 AM and 2:22 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -105 + 99. Let m(r) = -3*r + 14. Let j be m(u). What is the highest common divisor of j and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05835 times 34?\nAnswer: -1.9839","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 826704 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -107 - -149. Is ((-12)\/9)\/((-2)\/l) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x = -20*x + 35950. What is the hundreds digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8.52341 - 6356.\nAnswer: -6364.52341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12.171 + -13.171. Sort -5, 26, g, 1.\nAnswer: -5, g, 1, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71.33812 millennia to months.\nAnswer: 856057.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 296 + -297. Let v = 35\/24 - 4\/3. Sort o, v, 2\/9 in decreasing order.\nAnswer: 2\/9, v, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3850 divided by 5\nAnswer: -770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 10. Suppose q*o - 42 = 2*o. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 195 divide 2922465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/120*-25*(-4)\/((-16)\/6)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 827683572.\nAnswer: 2, 3, 68973631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-62)\/(-12) - 5) + (-10)\/(-12). List the prime factors of (-298)\/4*(-5 + (4 - j)).\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 - 14. Let l(z) = 4 - 20 + 3*z - s*z + 0*z. Let j be l(18). Solve -2 + 10 = 5*t + j*c, 2*t + 5*c = -1 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**2 - 4*s**2 + 2*s**2)*(-3*s + 6*s - 62 + 9159*s**2 - 9162*s**2).\nAnswer: 6*s**4 - 6*s**3 + 124*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*y**2 + y**2 - 10 - 3*y**2 + 0*y**2 to the form f*y + g*y**2 + r and give r.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.05 - -0.05. Let j = w + 2. What is the closest to -2 in 1\/4, 2\/3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -0.2. Let z(i) = -7*i**2 + 508*i - 1529. Let y be z(3). Which is the nearest to y? (a) m (b) -1\/7 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-6)*3\/(-5).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 PM and 7:26 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1887, 7352, 16449, 29178, 45539?\nAnswer: 65532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 46. Suppose o - 5*s + 1 = -o, 3*o + s - i = 0. Is o < 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 1, 7.5, -26, 0.07, 0.3?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 109 + 65. Suppose 0 = j - 5*b - 68, w = -j + 2*j + 5*b. Does 16 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*t = 2*t + 30. What is the first derivative of t + 4 - 22*z + 4*z wrt z?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 46*g - 153. Give m(4).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -73 (base 14) to base 6\nAnswer: -245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11592 - 25.\nAnswer: 11567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 5*m = 785, t - 3*m = m - 163. Let c(p) = 2*p**3 - 3*p**2 + 2*p - 3. Let z be c(4). Let g = z + t. What is g rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6803, 13037, 19271?\nAnswer: 25505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 119231500 rounded to the nearest one million?\nAnswer: 119000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -155177, -155570, -155963?\n\"Answer: -393*a - 154784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - 2. Let g(j) = j**2 - 3*j - 1. Let b be g(i). What is the least common multiple of (3\/b)\/(3\/198) and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39 and 107250026?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(2\/7)*q*q)\/q**(-7))\/(q**(2\/3)\/q**4) assuming q is positive.\nAnswer: q**(286\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6065 is divided by 692?\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -2\/9, -0.2, -1.1, 10.22, 3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -153762*a*u*y**3 - a*u*y**2 + 22*a*u*y - 2*a*y**3 + 2*a*y**2 - a*y + 5*u*y**3 - 38340*u*y - 3*y**3 wrt y.\nAnswer: -922572*a*u - 12*a + 30*u - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1)\/(-6))\/((-1)\/(-2))*786 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4)\/(sqrt(12)\/sqrt(6)) - (-4 + sqrt(8)\/sqrt(4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 89433*k - 3. Let p(x) = -3*x**2. Give t(p(u)).\nAnswer: -268299*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 90 * -0.5\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*104*(-11)\/33*429\/286.\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, -108, 3 in ascending order.\nAnswer: -108, -4, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004209865 to 5 decimal places.\nAnswer: 0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 + 0)*(-y + 4*y + 1 - y) - 7*y - 58*y - 12*y as j*y + c and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 35\/20) + (-6)\/(-8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2092*i**2 + 70. Let u(h) = 3500962*h**2 - 117152. Determine 5*u(c) + 8368*w(c).\nAnswer: -1046*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -45 (b) 0.2 (c) 0.1 (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -7, -9, 3, 2, -3 in descending order.\nAnswer: 3, 2, -3, -4, -7, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(500)*1*-4 + sqrt(500) + sqrt(500))*5.\nAnswer: 600*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 a when two letters picked without replacement from sba?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -34877197*p**4 - 24621223 wrt p.\nAnswer: -139508788*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide (-511)\/(-14) + (-2)\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 40, 28, 30, 52, 100?\n\"Answer: b**3 + b**2 - 22*b + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 28\/3, -2\/3, -4, 4, -2\/101, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -11, -1\/3, -6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 11.3247004.\nAnswer: 56.623502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 + 27. Suppose 2*m - 3*b - 12 = -0*m, 2*b = 3*m - i. Let l be m - 1\/(2\/4). Are -2 and l non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**4 + a**3 - a**2 + a - 1. Let r(i) = -320*i**5 - 565*i**4 - 240*i**3 - 5*i**2 + 5*i - 5. Let s(f) = r(f) - 5*u(f). Solve s(m) = 0.\nAnswer: -7\/8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -671, -1343, -2015?\nAnswer: -2687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -175 by 25.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -85707 by -321.\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 125979229 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -2 (b) 0.4 (c) 3 (d) -1\/20 (e) -10\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24587712?\nAnswer: 2, 3, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 593*z**3 + 52*z**2 - 3*z - 2.\nAnswer: 3558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -37, -82, -157, -268, -421?\nAnswer: -622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 29104.9 + 0.35099\nAnswer: 29105.25099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/4 and 2*1 - 322\/(-21) - -3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15210 and 232245.\nAnswer: 6038370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 3*g - 0*g - 5, -t = 2*g - 4. Let x = 15 - 9. Suppose -2*d + t = -x. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 101907388?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + -4123023?\nAnswer: -4123023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 0*a - 67*a + 9*a + 9 - 16*a. Let k be b(-6). Round k to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*r - 27 - 43 = 26 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 10:36 AM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -43\/380 - -5\/19. Let g(n) be the third derivative of 0*n + 0 - 5*n**2 - w*n**5 + 0*n**3 + 1\/24*n**4. What is the second derivative of g(q) wrt q?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -1.17. Let d = 0.052 + 0.118. Let z = d - n. Which is the biggest value? (a) z (b) 0.5 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*k**4 + k + 2*k**4 - 30*k**3 + 25*k**3 as y + x*k**2 + n*k**4 + a*k + j*k**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + 6*b**2 + 6*b + 5. Let o be x(-4). Let z be 2*2*o\/4. Suppose -3*r = -4*r + z. What is the greatest common divisor of 130 and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 5*g = 9, 0 = -2*l + 4*g + 45 - 9. Suppose -5*k = -8 - l, 26 = 2*o - 3*k. Calculate the highest common factor of o and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1450052 or 426?\nAnswer: -1450052","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (38\/(-4))\/((-199)\/398)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -4*m + 4941. Let w be m\/(81\/30 + -3). Is 8 a factor of (-6)\/(-57) - w\/190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence magf when four letters picked without replacement from {a: 3, g: 1, m: 1, f: 1, j: 1}.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 3156829.3 to the nearest 100000.\nAnswer: 3200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 275 and 54501931?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 15\/20 + 0 + (-136465)\/28. Let s = h + 341253\/70. Find the common denominator of 43\/35 and s.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -10261?\nAnswer: 10261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 e when two letters picked without replacement from {j: 12, e: 3}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*l**2 + 5 + 3 + 4*l**2 + l + (0*l**2 - 2*l**2 + l**2)*(6 - 4 - 4) - 32*l + 32*l + 4*l**2 to the form a*l**2 + d*l + x and give x.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 4*u + 8 = 0, 2*u = 13 - 9. What is the closest to -0.11 in l, -1\/7, -0.3, 3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*n**3 + 43096471161586*n**2 - 43096471161586*n**2.\nAnswer: 26*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1967.999995897 - 1968. Round p to 7 decimal places.\nAnswer: -0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31.51*-5\nAnswer: 157.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.08 + -5.92. Let q = -32.2 + 26. Let s = m - q. Put 2\/5, 3\/5, s in increasing order.\nAnswer: s, 2\/5, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**3\/2 - 73*x**2 + 2*x + 292 = 0. What is x?\nAnswer: -146, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h**3 + 9*h**2 - 8*h + 9. Let n(v) = v**3 + 4*v**2 - 4*v + 4. Let b be ((-1)\/2)\/((-21)\/(-105))*(-108)\/(-30). Determine b*n(o) + 4*g(o).\nAnswer: -o**3 + 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = 17 + 229. Let t = 54 - i. Suppose t*z - 245 = 8*z. Does 10 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 1. Suppose v*w - 2*w = -8. Suppose -42 = -2*o - 5*y, -25*y + 22*y + 50 = -5*o. Sort o, w, -11 in increasing order.\nAnswer: -11, o, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3301*n**2 - 19*n + 380*n + 3303*n**2)*(8 - 7 - 2*n + 5) to d*n + t*n**3 + i*n**2 + j and give d.\nAnswer: 2166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*h = -17*h - 102. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 3 (b) 2\/21 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 PM and 11:30 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z + 9. Give f(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1\/8, -0.2, -3\/4?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 73 = -3*t, -4*p + 7 = -2*t - 39. Let s = t - -36. Is s\/6 + 5\/((-30)\/(-2253)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -711 or -142652\/201?\nAnswer: -711","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*s - 20*s - 8*s - s - 2*s + s - 2*s - 2 + 2 + (0 + 3 - 1)*(0*s + 3*s - s) - 1 + 2*s + 1 + 0*s - 5*s + 5*s - 7*s.\nAnswer: -26*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2894*y + 2891*y = 2*z - 153, -2*y = -5*z - 121. Calculate the remainder when 622 is divided by y.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -4*h. Suppose -5*a + h*a + 15 = 0. Suppose x + x - 154 = -4*d, -4*x - a*d = -313. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 2\/5, -0.31 in descending order.\nAnswer: 2\/5, 1\/3, -0.31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12\/(-20) + 8765\/25?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -7*j**2 + 2*j + 1. Let p(q) = 8*q**2 - 2*q - 3. Determine 3*o(b) + 2*p(b).\nAnswer: -5*b**2 + 2*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*n - 4*n + 4*n)*(1609*n - 3254*n - 4974*n) to the form x*n + q*n**2 + l and give q.\nAnswer: -13238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - -1)*-4 + 858\/66. Solve d*h - 12*h = 12*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -167 + 55 + (55 - -67)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.00428 * 0.04.\nAnswer: -0.0001712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/4)\/((-4)\/(-272)). Let k = a - 29. Suppose -4*n = -n - 12. Calculate the remainder when k is divided by n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 8 = 4*l, b = -3*l - 3*b - 25. What is the tens digit of (1\/l)\/(3\/(-5229))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 109952505 and 6345?\nAnswer: 109952505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o and 1 g when four letters picked without replacement from ogooooooooooogog.\nAnswer: 33\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7465 and 1021212?\nAnswer: 1493","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h**3 - 2*h + 10*h**2 - 15*h**2 - 169 + 11*h**2 + 207 in the form c*h**3 + l*h + t*h**2 + b and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 4*m**4 - m**3 - 4 - m + 3*m**2 + 2*m**4 + 2*m**4 to w*m**3 + l + z*m + y*m**2 + j*m**4 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) -0.2 (b) -3 (c) -0.2102\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25872 and 11616.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -s - 6, 0 = -5*a - 2*s - 1 + 3. Let v be 14\/(-28) - (-81)\/a. Let o(f) = 65*f - 40. Let t(w) = 5*w - 3. Calculate v*t(r) - 3*o(r).\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 74 + -54. Differentiate 17 + a + 5*t - 56 with respect to t.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -5*a**2 - 2*a - 2. Let r(m) = 3*m**2 + m + 1. Let h(b) = 3*i(b) + 6*r(b). Let t(c) = 162*c. Determine t(h(u)).\nAnswer: 486*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 10) + 18 + (-3 - 1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2612 is divided by (-822 + 821)*(-642)\/1?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 7 + (0 - 0)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 3 - 1)*(-2 - a + 2 + (-3*a + 3*a + 2*a)*(1 - 3 + 1) - 3 + 0 - 2*a + 1) to the form j*a + m and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-195)\/52)\/5*-4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -393, -784, -1175, -1566, -1957, -2348?\n\"Answer: -391*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*w - 118405 = -612*w - 56639 for w.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-603)\/15)\/(5232\/8720)\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2424058.\nAnswer: 2, 7, 13, 19, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c*o**4 + 17*c*o**3 + 27*c - 4*o**4 + 6*o**2 + 2 wrt o?\nAnswer: 24*c*o + 102*c - 96*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 63*f**3 - 147*f**2 - 66*f**3 + 145*f**2 + 32*f**4 + f in the form p*f**2 + r*f**4 + y + b*f + q*f**3 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + 0*j - j)*(-278*j - 442*j + 127*j)*((3 - 3 + 2*j)*(-3 + 3 - 2) - 2*j - j + 2*j).\nAnswer: -2965*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4864.7 - -4865. Sort 0.1, 2, -0.3, w, 86 in decreasing order.\nAnswer: 86, 2, w, 0.1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 - 8*h + 4. Let b be j(7). List the prime factors of b - (-38)\/(-4)*-2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 327284029 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 - 5*y**2 - 5*y - 2. Suppose 0 = -2*o - o - 12. Calculate x(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -351 + 393. What is the remainder when 835 is divided by m?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 2*d + 3*d + 34, 49 = 5*b + 2*d. Let j be (-3)\/b - 22\/(-12). Is 1 at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/47 and 1\/141.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of 13*g**2\/2 + 3*g + 1. Let a = 10 + -6. Let d be x(a). Calculate the greatest common factor of d and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -34, -552 in decreasing order.\nAnswer: 5, -34, -552","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 + -18. Solve -t = 5*n - 2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -0.0576, 17754 in decreasing order.\nAnswer: 17754, -0.0576, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 4*k + 2*k - 2*k - 3*k + 9. Let g be m(-4). What are the prime factors of -1*3*(-9 + g)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -21*y - 5. Let a(v) = v**2 - 8*v + 13. Let n be 31\/3 + (-3)\/9. Let d be a(n). Suppose 0 = b + 2*b - d. Let j(l) = -4*l - 1. What is b*j(u) - 2*x(u)?\nAnswer: -2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0 and 334.174.\nAnswer: 334.174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - 3*u**2 + 8*u + 7. Calculate a(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 6, x: 7}. What is prob of sequence ee?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 8*h - 36. Let x(r) be the first derivative of -5*r**4\/2 - r**3\/3 + r**2\/2 + r + 4. Let a be x(-1). Is 12 a factor of f(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.228460963 or -1?\nAnswer: 0.228460963","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 74 - 40. Suppose -212 = -4*o - 4*f, 3*f + 249 = o + 4*o. What is the highest common factor of y and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 29756802?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -95\/4964366 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4526*u**3 - 1672*u**2 - 2 wrt u.\nAnswer: -27156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/224 and 123\/40?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 310861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 - v + 17. Let l be n(-10). Let y = l - -103. Let d be ((-12)\/y)\/(3\/62025). Round d to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 6 (c) -0.42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*g**3 + 114 + 203 + 15*g**3 - 25.\nAnswer: -2*g**3 + 292","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of -s**5\/5 - s**4\/12 - s**3\/2 - 9*s**2\/2 + 151*s + 1. Let p(x) = 7*x**3 + 2*x**2 + 5*x + 17. Calculate 3*p(n) + 5*r(n).\nAnswer: n**3 + n**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttttvttttgtcttbgv. Give prob of sequence bcc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8963205.5 and -0.5.\nAnswer: -4481602.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30*(19 + (-444)\/20 - (2 - 10))?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**4 + 0*h**4 + 0*h**4)*(-6 + 1 + 19)*(0 + 5 - 4).\nAnswer: 14*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + 15\/(-20))*4. Let d = j + 91. What are the prime factors of d?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + b. Suppose 9*o - 7*o - 10 = b. Solve -11 = -o*i + 4 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 167061, 668267, 1503597, 2673045, 4176605, 6014271, 8186037?\n\"Answer: -a**3 + 167068*a**2 + 9*a - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137413472?\nAnswer: 2, 7, 19, 83, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 15, 39, 61, 81, 99, 115, 129?\n\"Answer: -j**2 + 27*j - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 161*p**2. Let s(v) = -1455884*v**2. Determine z(s(j)).\nAnswer: 341255313654416*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*2*sqrt(3) - (sqrt(12) + -2).\nAnswer: -12*sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1018?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 21*h**2 + h. Give f(-1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 656*h. Let f(p) = -p**2 - 1. Give g(f(y)).\nAnswer: -656*y**2 - 656","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 2*(sqrt(117) - (sqrt(117) + sqrt(117)*-1*-1 + sqrt(117)))\/(sqrt(36)\/sqrt(4)*3))*-6 + 2.\nAnswer: 8 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**4 + 32392*u**3 + 262342797*u**2 + 524296930*u - 2098224200.\nAnswer: (u - 2)*(u + 4)*(u + 16195)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6423 + 9010. List the prime factors of p.\nAnswer: 13, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -2*x**2\/3 - 1008*x - 381024 = 0.\nAnswer: -756","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, d: 10, b: 7}. Give prob of sequence db.\nAnswer: 35\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -174092 + 13?\nAnswer: -174079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 2*l - 28, 3*l + y = 6*y + 44. Solve -5*o - 12 = 4*x + l, -20 = 5*x + 5*o for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -140645, -281287, -421929, -562571?\nAnswer: -703213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 13 + (3 - -2) + (-179 - -182)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 6*n + 13. Let z be o(-2). Let s(x) = 5*x**3 + 16*x**2 - 5*x + 7. Let t(r) = -r**3 - 3*r**2. Let k(f) = z*s(f) + 4*t(f). What is k(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 84.66298 days?\nAnswer: 7314881472000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/(-2))\/(2\/(-12)). Let k be d + -2 - (-7)\/(-9). Put -2, 5, k in decreasing order.\nAnswer: 5, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + 0)*1 + 0)**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(39\/(-6)) + (-32)\/(-130). Let c = -224.7 - -229.7. Let m = -0.3 + -2.7. Put c, m, -2\/7, z in descending order.\nAnswer: c, z, -2\/7, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + (4 - (-1641)\/156). Let k = n + -62\/13. Calculate the common denominator of -23\/4 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 168\/(45 - -123)*3\/(-17)?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**4\/4 - 3*l**3\/4 + 13*l**2\/4 + 51*l\/4 + 9 = 0.\nAnswer: -3, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 - 10*p + 5. Let w be j(10). Suppose w = -s + 17. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - -14. Find the third derivative of -k*o + 3*o**2 - 111*o**6 + o - 5*o**6 - 10*o**2 wrt o.\nAnswer: -13920*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of -i**6\/24 + i**5\/4 - 5*i**4\/8 + 5*i**3\/6 - 5*i**2\/8 - 3*i - 5. Let j(h) be the first derivative of f(h). Factor j(t).\nAnswer: -5*(t - 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11690857 and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/b**(-5))**(2\/117) assuming b is positive.\nAnswer: b**(14\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/(-8)*14432\/(-81180)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -4*f**2 - 35*f - 9. Give p(-8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 506 - 502. Suppose 5*n + 400 = 5*f, 6*f + 2*n = t*f + 176. Calculate the greatest common divisor of 63 and f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -81 + 69 - (37 - -37)?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33)\/(-330)*110\/154.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 6*r**2 + 2*r - 5. What is j(-6)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -50, -52, -64, -92, -142, -220?\n\"Answer: -i**3 + i**2 + 2*i - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-42)\/6)\/(-147))\/(4\/(-48)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v = 14*v + 12026. Let t = v - -2777. Factor -1064*c**2 + 21*c + t*c**2 + 9*c.\nAnswer: -5*c*(c - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*l**2 + 12312 - 24614 + 2*l + 12311 to u*l**2 + w*l + z and give z.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -995 at least as big as -983?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 56*z - 71*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*b**2 - 4*b**2 + 0*b**2)*(-1621 + 5725 + 10581 - 1624)*(-2 + 0 + 4)*(-2 - 2 + 7) in the form o*b + v + h*b**2 and give h.\nAnswer: -78366","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 103 + -103. Factor -z**3 + 1\/2*z**5 + 0 + p*z**4 + 1\/2*z + 0*z**2.\nAnswer: z*(z - 1)**2*(z + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k + 1. Let n(w) = 2*w**2 - 5*w - 3. Let l(x) = -n(x) + 4*t(x). Let q = 11271 - 11268. Calculate l(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 20 = 0, 379 = 4*w - c - 529. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 - 13*o + 19. Let n be s(-14). Put n, 4, -3 in decreasing order.\nAnswer: n, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 300285093?\nAnswer: 3, 17, 151, 38993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1641 - 1591. Calculate the remainder when 89 is divided by a.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25\/10*((-32)\/15)\/8\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*m**2 - 11*m**2 + 6*m**2)*(-4*m - 5 + 5).\nAnswer: 76*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 380, 384, 390, 398, 408, 420, 434?\n\"Answer: j**2 + j + 378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 10983, 21933, 32925, 43959, 55035?\n\"Answer: 21*u**2 + 10887*u + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 34 - 23 - (-16 - (8 + (-4 - 1)))\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1600*y + 1 - 1119*y - 3*y**2 - 2511*y.\nAnswer: -3*y**2 - 2030*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 4*m = -1725879 + 4935899, -4*r = -3*m + 4280015. Round r to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -581703*a + 6398731. Calculate v(11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 477317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 - m. Let o(z) = -15*z**2 - 10*z. Let h be (-120)\/(-18)*-1*9\/6. Determine h*d(y) + o(y).\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 162481?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 20, -2, 2, 9, -5\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 496, 4690, 11680, 21466, 34048?\nAnswer: 49426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = 2304*m - 2305*m - 22, -4*m = 5*r - 29 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 168018*c**3 - 83676*c wrt c?\nAnswer: 1008108*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (271 - 69 + 662 + 0 - 4 + 2 - 1 - 2 + 5 + (1 - 5 + 3)*(3 + 2 - 3))*(-3*b + 2*b + 0*b)*(b + 6*b - 4*b).\nAnswer: -2586*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3084 (base 9) to base 5\nAnswer: -33023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lobl when four letters picked without replacement from oolollllobo.\nAnswer: 5\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hmemmhemmhhmehhem. What is prob of picking 3 m?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -3*w**4 - 1311*w**3 - 3915*w**2 - 3909*w - 1302 = 0.\nAnswer: -434, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 10 = -2. Suppose -2*b + 117 = d*v + 29, 4*v - 140 = 3*b. Let r = 43 - v. What is the highest common factor of 22 and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49704802?\nAnswer: 2, 7, 607, 5849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 87.861 + 0.139. Let m = 43 - l. Let z = 40.9 + m. Round z to 0 dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g*g\/(g*g**(-2\/25)*g)*g)\/g*g))\/((g\/(g*g**(2\/7)*g))\/g))\/(g**(-2\/3))**22 assuming g is positive.\nAnswer: g**(8858\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26744970?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04273 + -15659339?\nAnswer: -15659338.95727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**1*c)\/((c*c\/(c*c**4))\/c*c))**(-4\/5) assuming c is positive.\nAnswer: c**(-16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 27*(((-94)\/(-846))\/((-1)\/12))\/(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3138 by 6.\nAnswer: -523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/25 in 0.5, 4, -1\/13, -13, -0.332?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 45540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 + 9*n**2 + n - 7. Let t be c(9). Suppose 5*j = 10*j - 30. What is the remainder when 2 - t\/((-4)\/42) is divided by j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 469 - 495. Suppose -2*k = 5*o - 25, -5*k + 3*o - 4 = -4*k. List the prime factors of (4 + m\/k)*-15.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 17363 - 34724 + 21*c**2 + 17357. Let y(d) = -d**2 - 1. Determine -n(w) + 4*y(w).\nAnswer: -25*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-2 - -4) + 5 + -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81558.36ms to hours.\nAnswer: 0.0226551","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 38149 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (745\/2980)\/(-3*3\/(-864)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3941544 is divided by 1505.\nAnswer: 1454","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -417 = 7*d + 5*o, 0 = -2*d - 232*o + 179*o - 377 for d.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 2*i = i + 255, -2*g - i - 175 = 0. Let z = g - -163. What are the prime factors of z?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50820 divided by 2?\nAnswer: 25410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -0.1, 0.1, -4275, -5, 283?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -635789, -2543172, -5722147, -10172714, -15894873, -22888624?\nAnswer: -31153967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*c = 139*c - 273 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -0*f - 100. Let y = f - -29. Let u be 1*(-3 - -2) + 8. Is y >= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -17*i + 32. Let y(w) = -17*w + 17. Let g(c) = -4*p(c) + 3*y(c). Calculate g(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = 2*o + 6*p + 2, -2*o - 6 = 2*p for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -103189\/4 - -26133. Let j = -329 + q. What is the common denominator of j and 107\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39 divided by -39\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -352.56 to the nearest 10.\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1\/48, 3\/4, -3, -26, 2\/65 in decreasing order.\nAnswer: 3\/4, 2\/65, 1\/48, 0, -3, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1396947198.\nAnswer: 2, 3, 433, 547, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26098 + 26491. What is the lowest common multiple of 5 and a?\nAnswer: 1965","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2903.186 - -0.08.\nAnswer: -2903.106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 120 and 96?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*g - 86 + 76 + 10.\nAnswer: -7*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 9\/3 + -52. Let f be ((-40)\/x)\/(2\/20). Suppose -j + f = -1. Is j not equal to 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-1))\/(2\/(-12) + 164\/(-492))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 21*o**2 + 30*o - 105. Determine i(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -294 and -296 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 3*w = -0 + 5, -3*w = -15. Suppose 0*s + 40 = j*s. Does 5 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -87 + 75 - (1 - 31).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + 5*sqrt(275) + -5.\nAnswer: -5 + 26*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -10\/3, 18, -1, 0.8, 0.12 in descending order.\nAnswer: 18, 0.8, 0.12, -1, -10\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -206063 (base 9) to base 12\nAnswer: -5aaa9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -90, -193, -294, -393?\nAnswer: -490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*q**3 + 2117*q**2 + 10098*q wrt q?\nAnswer: 18*q + 4234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17739?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -22810 (b) -2 (c) 4 (d) -2\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 20487632 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 923268522 to the nearest integer?\nAnswer: 974","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - ((-124 - -296) + -82)?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*i = 114 + 64 + 88 for i.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*y + 5*y + 0*y)*(1252 + 284 + 2617) to the form w + z*y and give z.\nAnswer: -4153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12757 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12725826*x**4 + x**3 + 7973467*x**2?\nAnswer: 305419824*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 412 - 431 = -5*k + 14*w, 5 = 4*k - w for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2080 and 582059920?\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2050)\/35*(-12)\/(-10). Let o = p + 70. Which is the smallest value? (a) o (b) 0.3 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s + 4. Let z be (10\/(-4))\/(78\/12 + -7). Let l be 267*((-1)\/z)\/(3\/(-5)). Let d = l + -85. What is j(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -253*i - 18252 = -280*i. Calculate the remainder when i is divided by 250.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z**3 + 48*z + 1 - z**2 + 2*z**4 - 19*z - 25*z to o*z**4 + j*z**3 + i*z**2 + h + t*z and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 139 + -41. Let a = -90 + m. Which is smaller: 1\/2 or a?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -58765*l + 9975. Let w(s) = 177*s - 30. What is 12*m(n) + 3990*w(n)?\nAnswer: 1050*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u - 2099 + 1064 + 1035 + 4*u.\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 + 13. Let q = 549\/65 + -43\/5. Put 1\/4, q, j in ascending order.\nAnswer: j, q, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 200 = -q - t, -5*q = -2*t - 1012. Is q a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 9*y + 219. Let o(b) = -22*b - 548. Let m(n) = -12*g(n) - 5*o(n). Let v(k) = 2*k**2. Calculate v(m(l)).\nAnswer: 8*l**2 + 896*l + 25088","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 70257 a multiple of 141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -33476 take away -234?\nAnswer: -33242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + 1\/(-1) + (-1 - 2). Let k be 4\/(-12)*(-24)\/(-82). Is g >= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/4 (b) 16\/3 (c) 7679 (d) -5 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*q - 289 = 3*q. Solve -q = -r - 16 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.611 + 3.611. Let r = 2.3 - 2. Which is the nearest to w? (a) r (b) -1 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17675 - 1.\nAnswer: -17676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ho when two letters picked without replacement from {o: 4, h: 2}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of 123*b**4\/4 - b**3 + 4*b**2 - 38. Find the third derivative of x(m) wrt m.\nAnswer: 738","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165*x - 12312 = -45*x + 95*x + 571*x for x.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 - 65 - (63 + -97).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 1325 = 2*v, i + 9*v = 5*v + 287. What is the greatest common factor of i and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71849 divided by 2.\nAnswer: 71849\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 102\/85 + (-8)\/(-10). Suppose -5*g + o*g + 2661 = 0. Suppose -14*l + 3855 = g. List the prime factors of l.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y + 7. Let c be v(7). List the prime factors of (-4)\/c - (-651)\/49.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 0 + 20\/(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*c**2 - 11*c**2 - 515*c - 97*c**5 + 3*c**2 - 107*c + 13*c wrt c.\nAnswer: -1940*c**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 329621, -62, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 4*q + 12 = -0, 5*q + 32 = 3*r. Suppose 0 = -r*g - 8. List the prime factors of (-23)\/(-2) + g\/4.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 - m. Let r(g) = g**3 - 11*g**2 + 18*g + 2. Let z(i) = -i + 3. Let v be (-25)\/4 + (-2)\/(-8). Let l be z(v). Let p be r(l). Calculate w(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 59 + -56. Solve s*t = 5*q + 13, 4*q + 2 = -2*t - 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.059 + 6.94. Let n = u - 0.001. Round n to 1 decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.007 - 3.96. Let m = 971 - 972.047. Let q = m + v. Which is the nearest to 0.1? (a) 4 (b) -5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85 divided by 160.\nAnswer: 17\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of g**3\/3 - 3*g**2\/2 + 7*g. Let d be i(11). Let x = 13 + d. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-592)\/(-111)*(-3)\/30*(-1125)\/20?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x + 69 = -6*x. Let z be ((-72)\/(-28))\/(((-18)\/56)\/(-3)). Solve 3*h - z = -3*p, -p - h = 3*p - x for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 49 = -l + 41, r = l - 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - ((-7 - -4) + -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 14, 25, 36?\n\"Answer: 11*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -1 (c) 0.0169 (d) 0.3 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.152 and 2.\nAnswer: 2.304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.4789 rounded to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 489.1068 decades in years?\nAnswer: 4891.068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 90 and 750?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 18 - 8. Suppose 3*n - 470 = -0*n + l*u, 0 = 3*n - 4*u - 472. Suppose -g + n = 5*g. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2908, -0.04338, 3\/17?\nAnswer: -2908","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -w**3\/5 - 26*w**2\/5 - 8*w + 192\/5 = 0.\nAnswer: -24, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 u when two letters picked without replacement from kuseskueksss?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 - 10 - 3*g**2 - 25*g**2 to m + n*g + l*g**2 and give l.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4465904 is divided by 127597.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z**4 + 64*z**3 - 9212*z**2 + 8712*z + 54720 = 0. What is z?\nAnswer: -57, -2, 3, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.7 - 53.7. Let y = 304670953.9999909 - 304671006. Let i = p - y. What is i rounded to 6 dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-34)\/6 - 252\/(-42). Let q be 0\/2 + 4\/(-14). Which is smaller: b or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -3*p**2 - 158271*p + 97013934 = 0.\nAnswer: -53363, 606","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 9, c: 10}. What is prob of picking 3 c?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3804573 or 3804572?\nAnswer: 3804573","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.87 rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express s + 0*s + 0 - 4 + (2 + 3 + 1)*(6*s - 3*s + 2*s) + s - s + 6*s in the form f*s + q and give f.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 9*v**2 + 8*v - 1. Is h(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 110600?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 2*r = -0*r + 18, 0 = -2*r - 8. Let d = -2 + 5. What is the third derivative of -i**3 - 3*i**6 + n*i**2 - 5*i**2 + i**d wrt i?\nAnswer: -360*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5304*u + 5309*u - 143425. What is the thousands digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(2)*1 - (-4 + sqrt(200) + sqrt(200)).\nAnswer: -17*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/34471 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2 + 85377*z + 124137342.\nAnswer: 3*(z + 1537)*(z + 26922)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8544 = -12*c - 12*c. Let r = 371 + c. Calculate the remainder when 447 is divided by r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1563949?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 162 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**2\/9 - 283936*d\/9 + 10077456512\/9 = 0. Calculate d.\nAnswer: 70984","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 87 and 1305.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.64492122 times -5\nAnswer: -3.2246061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5564 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 192\/(-512)*(-2)\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*j**2 - 232*j.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seven quarters of a meter?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 643 is divided by 213?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 - -10. Let d = 11 + w. What is the remainder when (-4)\/(12\/(-8) + 1) is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -14, 1, 7, 6, 3.\nAnswer: -14, -6, 1, 3, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 2 = h - 4, -2*w + 2 = -5*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 4. Let v(f) = -f**3 + 7*f**2 - 6*f + 3. Let z be v(6). Let h = -17\/5 + z. Which is the smallest value? (a) 0 (b) m (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 934561060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 164\/(-8) + 20 - 26\/4. Let d(n) = n**2 + 9*n + 10. Give d(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + (1 + 7 - 2 - (-1 - -13)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3905\/7008 - 46\/73. Find the common denominator of m and -97\/30.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((207\/(-322))\/(12\/16))\/((-3)\/(-4))?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 12 - 31?\nAnswer: -1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 4 - 4 + 13 + 10*l**2 + 7.\nAnswer: 10*l**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bo when two letters picked without replacement from wofowwkbwwoffffwf.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4974366?\nAnswer: 2, 3, 41, 73, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 145*g**3 + 43*g - 43*g.\nAnswer: 145*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -140643728 divided by -4.\nAnswer: 35160932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 18\/30 + (-186)\/(-15). Let r = 13 - o. What is the nearest to 0 in 4, r, -0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 AM and 11:27 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c + 8*c = -24. Solve -2*y + 8 = c for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 365 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3492*p - 324*p**3 - 3492*p + 318*p**3.\nAnswer: -6*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 + 1)*(-3*w + 3*w - 2*w) + (0*w - 3*w + w)*(458 - 709 + 650).\nAnswer: -806*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -2, -504, 21, -3 in ascending order.\nAnswer: -504, -5, -3, -2, 0, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*b**2 - 43*b**2 - 24*b**2 + 18*b**2.\nAnswer: -118*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 366073 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of g**3\/3 - g - 1. Let b = -37 + 43. Is w(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4b7b1 (base 13) in base 9?\nAnswer: 232614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134 is divided by 132?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 2*f + 30, -d + 14 = -2*f - 0. Let l be 2 + (-6 - -2)\/d. Which is the third biggest value? (a) -5 (b) -0.09 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) + -5 + sqrt(13))**2 - (4 + sqrt(117))**2)*4.\nAnswer: -256*sqrt(13) + 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fn when two letters picked without replacement from {n: 10, f: 10}.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 0 + 0*n**4 + 0*n + n**2 + 1\/2*n**5 - 3\/2*n**3 = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of -t**2 - 9894. Let o(z) = -324*z**2 - 9*z - 9. Let y(l) = 81*l**2 + 2*l + 2. Let n(s) = -2*o(s) - 9*y(s). Calculate n(q(j)).\nAnswer: -324*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 3)*(11718*k**2 + 233747 - 233747) + 3*k**2 + 0*k**2 - 2*k**2.\nAnswer: 23437*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30.6 + -30.155. Let t = -10.555 - u. Which is the second smallest value? (a) -5 (b) t (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 141250, 137126, 133006, 128890, 124778?\n\"Answer: 2*u**2 - 4130*u + 145378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 1790?\nAnswer: 14320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j = -10*j + 2. What is the highest common factor of 8 and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -420*u**3 - u**2 - 683*u?\nAnswer: -2520*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.6 - -2.9. Let i = 4.06 + -4. Let u = i + -5.06. What is the closest to 2\/3 in 0.5, g, u?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 3*s**2 - 117*s + 3651. What is the ten thousands digit of h(-116)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15b17c (base 15) to base 2.\nAnswer: -100000000010101101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 55 and 159850?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -23*n**3 + n**2 - 5*n. Let o(m) be the third derivative of 11*m**6\/120 + m**4\/12 - m**2 + 19*m. What is -2*b(z) - 5*o(z)?\nAnswer: -9*z**3 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 197.6 - 198.6. Which is the nearest to h? (a) 1\/9 (b) 26\/5 (c) -3 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(-5)\/(-60)*12?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104 is divided by 40?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/(-7) - 1) + (-1387)\/(-133). Let u be 1*v - (-5 + 0). Calculate the highest common factor of 12 and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4 - -5 - (4 - 6). Let t = 1.5 - 5.5. What is the second biggest value in t, -1\/2, c?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2 = -3*f, 5*v + 3*f = -0*v + 16. Let b(a) = -4 - v*a - 2*a + a + 4*a. Determine b(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k + 55. Let p be s(6). Suppose -40 = g - o, -g - 4*o = g + 110. Let b = g + p. Is b a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 253940064 and 1344.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 29, 43, 57?\n\"Answer: 14*u + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (16\/(-6) - 0)*(-30)\/120. Let r = -14.1 + 14. Is z > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 7:46 AM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -103 (base 4) to base 12.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -94, -0.04, 2 in increasing order.\nAnswer: -94, -0.04, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -185, -165, 87, 577, 1311?\n\"Answer: q**3 + 110*q**2 - 317*q + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-1 + 2*sqrt(704))*3 - -4*(sqrt(275) + (sqrt(275)*1)**2*6)*-6.\nAnswer: -39605 - 72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 25 - (-1 - (4 - 3)). Let c = a + -24. Solve 0 = -c*h - 5*i + i + 35, -15 = 2*h - 5*i for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4087?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - a**2 + a + 15. Determine r(0).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -23 - 26dc9?\nAnswer: -2700c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*y = -14*y + r - 66, -4*y - 4*r + 40 = 0. Solve -y*x - 335 = -349 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50474, 100949, 151424, 201899, 252374, 302849?\nAnswer: 353324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (56\/(-42))\/(44\/(-18)).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23966 is divided by 30.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-7 + -1 - -4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (-12)\/33)\/((-12)\/(-2) + 3690\/(-492))\nAnswer: -8\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 4*a**2\/9 + 386794*a\/9 + 193396\/9 = 0.\nAnswer: -96698, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*(210\/12)\/(-7))\/(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 19440*s**2 - 10*s - 2. Let r be a(7). Let x = r - -1507604. Suppose 60092 = -3*b + x. Round b to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*o + 79*o = -6, 4*o = -k + 71809. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.280255763 rounded to 3 decimal places?\nAnswer: -2.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4\/3 (b) 5 (c) 1 (d) 2\/105\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 106341001 to the nearest integer?\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 9, m: 10}. What is prob of sequence mmm?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -338, -340, -352, -380, -430, -508, -620?\n\"Answer: -x**3 + x**2 + 2*x - 340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 5*v**3 - 1. Let a be h(1). Suppose a*r = -r - 10. What is the closest to 1 in r, 2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 825 divided by -5.\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1830\/(-17385) - (0 - (-18)\/190).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -3*n, 2*n + w - 12 = -0*w. Suppose 2*h - 4*q = 6*h - n, 4 = 4*h - 3*q. Which is the nearest to -2\/7? (a) h (b) 0.4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/7))**47)**(-2\/15) assuming l is positive.\nAnswer: l**(-188\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + -2 + 1 - 2. Let h(s) = -s**3 + 8. Let p be h(m). Suppose 4*z - 48 = -p. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (21*y**2 + 109*y**2 + 40*y**2)*(2*y - 3*y - 2*y) - 5*y + 2*y**3 + 5*y to i + j*y**3 + l*y**2 + o*y and give j.\nAnswer: -508","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/53944 and 69\/9790.\nAnswer: 24005080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2622 (base 9) to base 8\nAnswer: -3654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-141)\/(-2))\/((-2)\/(-4)) is divided by 80\/(-128) + (-4648)\/(-64)?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 16*m + 4. Is 10 a factor of a(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-21)\/((-21)\/2)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-42)\/(-28) + 3\/(-2). Solve -2*p - 2 + 6 = i for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 22187*z + 5568908. Calculate u(-251).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 5*d - 13, 3*i + 0*d - d = 5. Let m be i\/((1 - 3)\/2). Let x be (-15)\/(-25) - (-2)\/(-5). Which is the third biggest value? (a) x (b) -4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 111 (b) -5 (c) 50\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*f + 3*f. Let r(j) = -1 - 2 - 10*j + 3. Let w(x) = 3 - 3 + 7*x. Calculate f*r(a) - 7*w(a).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (30 - (-10)\/5)*-49. Let f = c + 2241. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttrrtrrrt. What is prob of sequence trt?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 4*n + n + 19 = 0, -76 = -4*k - 4*n. Calculate the least common multiple of k and 7.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(1053)*5 - sqrt(1053)))**2 - sqrt(1053))*-2*-5.\nAnswer: -90*sqrt(13) + 6065280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 310.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -848, -853, -870, -905, -964, -1053, -1178, -1345?\n\"Answer: -m**3 + 2*m - 849","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w + w - 4*w)*((22 - w + 27 - 2)*(5 - 5 - 8*w) + 933 - 933 - 26*w**2).\nAnswer: -36*w**3 - 752*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5707197 is divided by 3851?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 4:10 AM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 3 + 29*c**4 - 3*c**3 - 27*c**4 as w*c + h + i*c**3 + a*c**2 + p*c**4 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, t: 1, g: 1, x: 3, k: 3, m: 2}. What is prob of picking 1 d and 1 x?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 8 + 5 + 62*x**2 + 60*x**2 - 121*x**2 + 10*x. Let s be u(-14). Which is smaller: 67 or s?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7648700 is divided by 29?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -4. Suppose 0 = -t*y + 2*y. Suppose -3*l + 0*l + 99 = y. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 262 - 263. Sort 0, 29, -4, j in descending order.\nAnswer: 29, 0, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 20 = -4*c, -25*j + 12 = -26*j + 4*c for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + 1001011?\nAnswer: 1001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/144*2*-2*16\/(-24)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - 9*u - 5. What is o(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -314 divided by 148?\nAnswer: -157\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 390506 or 390508?\nAnswer: 390506","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 116227 (base 8) to base 14\nAnswer: 10875","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002769642 to 5 dps.\nAnswer: -0.00277","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 94747600459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2636 + 118627\/45. Let w = -4\/9 - z. Suppose p - 3*l + 1 - 10 = 0, 3*l = 2*p - 12. Which is the fourth smallest value? (a) 1 (b) p (c) w (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 35347.0015739 - 35347. Round z to 4 dps.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - c = -100, 0*a + 80 = 4*a - 5*c. Let l = -16 + a. Solve 0 = -5*s + 3*w - 0 - 6, 3*s - 2*w = -l for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-4)*(-15)\/660\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011 + 10001101010010?\nAnswer: 10001101100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 86611 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/6*(-102)\/(-4). Let k = -12 + s. Suppose f + k*x + 21 = 0, 0*f + 3*x = -5*f + 5. Calculate the smallest common multiple of 2 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j + 2. Let z be (2*1)\/(5\/5). Let n be d(z). Is 38\/(n + (-2)\/(-1)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 2 (c) 182 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 59, 2, 10, 11, -11, -29 in decreasing order.\nAnswer: 59, 11, 10, 2, -3, -11, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4639.5 and 4?\nAnswer: 18558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -1, -0.3, -8.6, -73, -0.5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 + 21*o + 48. Let f be w(-4). What is the greatest common divisor of 7 and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/12 and -37\/214460.\nAnswer: 643380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 14970.86 rounded to the nearest 100?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 667 - 666.5. What is the smallest value in -0.02, y, 0, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -20, -49, -96, -161?\n\"Answer: -9*n**2 - 2*n - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 2152489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3088.99998595 + 3089. Round s to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 664679, 2658408, 5981295, 10633346, 16614567, 23924964, 32564543?\n\"Answer: i**3 + 664573*i**2 + 3*i + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 1 = -4*o, 5 - 38 = 16*d + o for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35914, 143654, 323222, 574618, 897842?\nAnswer: 1292894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 28.01 to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -220 (base 3) to base 8\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zuzuuzzvuuzzzvzzzzuu. Give prob of picking 1 u, 1 z, and 1 v.\nAnswer: 77\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/(i\/((i**(-1)\/i)\/i))))**(-43)*(i*i**(-1))\/(i*i\/(i**(1\/5)\/i*i)))**(-2\/91) assuming i is positive.\nAnswer: i**(1738\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 15*z**2 - 18*z - 30. Let l be m(-16). Let w(d) = -3*d + l*d + 4*d + 2*d. Let i(j) be the second derivative of 3*j**4\/4 + 3*j. Give i(w(b)).\nAnswer: 225*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 - 49*u**2 + 99*u - 2442. Calculate d(48).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -249*r + 243*r + 12. Let b(a) = a + 1. Let z(x) = -2*x. Determine r*z(n) + 3*b(n).\nAnswer: -n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 48 = 9*h. Is (-1)\/(3\/h) + 5977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k + 5*k**2 - 2*k + (6*k - 2*k + 0*k)*(3*k + k - 3*k) + 2*k**2 + 250*k - 250*k + 13 to f*k + d + m*k**2 and give d.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -39 times -3\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 12828 and 3508.\nAnswer: 16336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 5*n - 1. Let d(z) = 81*z - 15. Let h(w) = -2*d(w) + 33*i(w). Calculate h(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34325 (base 9) to base 13\nAnswer: a53b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -62\/9 and 101\/828?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 641 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7004368?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -110327, -220678, -331029?\nAnswer: -441380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*8.6818\nAnswer: -1.73636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2505*q**2 - 350 + 695 - 2504*q**2 - 345.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6707 - 2392 + 5689 + 3067)*(-2*a**5 + 0*a**5 - 2*a**5).\nAnswer: -52284*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, c: 3}. Give prob of sequence ac.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 3*q + 3*q - 24, -q + 12 = 2*j. Which is smaller: -2\/20525 or q?\nAnswer: -2\/20525","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -19*b + 165. Let n be d(9). Let f be n*(-13)\/(234\/84). Solve 0 = 5*r - f + 3 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.25969, 2, 1 in decreasing order.\nAnswer: 2, 1, -0.25969","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h + 7. Let p be w(-3). Suppose -16 = -p*r - i + 18, 2*i = 4*r - 40. Solve -6 = 3*o + r for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of -10505*(663\/85 - 9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of 14 - 5\/12*n**4 - 4*n + 0*n**2 + 10\/3*n**3. Let b(f) be the first derivative of t(f). Solve b(h) = 0 for h.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - (-6 + -2)) + (-6 - -3)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**2. Let m = 36 - 36. Let j(c) be the first derivative of -1\/2*c**2 - 4 + m*c. What is d(j(b))?\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yj when two letters picked without replacement from yaajjjjyaajaajjajy?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105*((-1293)\/15)\/((99\/18)\/(-11))?\nAnswer: 2, 3, 7, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -123701*t*u**2 - 21065*t*u - t - 7*u - 2 wrt u?\nAnswer: -247402*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of -s**5\/60 - 738*s**2 - 1. Let p(j) = -190*j**2. What is p(q(t))?\nAnswer: -190*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -9883, -40248, -90855, -161704?\n\"Answer: -10121*n**2 - 2*n + 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -66 - -63. Suppose -2*v - 6 = -3*v. Let k = v - 19\/3. What is the closest to k in 3, z, 6?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 0*z + 5*b = -18, -2*b - 6 = z. Let h be 8\/z*(-84)\/(-8). Let a = 40 - h. 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: Let s = -24.6 + 518.6. Let u = 489 - s. Sort -2\/3, u, 2\/7 in descending order.\nAnswer: 2\/7, -2\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide (-12)\/(-40)*-2 + (-58412)\/(-20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -8*y. Let n(o) be the second derivative of -11*o**4\/12 - 28*o + 2. What is x(n(d))?\nAnswer: 88*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -3\/37, 1 in ascending order.\nAnswer: -3\/37, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38 + 5651*o**2 - 5640*o**2 + 38.\nAnswer: 11*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -285444 + 142737 + 142707 + 283*i.\nAnswer: 283*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((4 - 7) + 2 + -2)*-3. Let n be (1 - (-86)\/(-5))*(-10)\/2. What is the highest common divisor of j and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/113 (b) -0.1 (c) 0 (d) 0.1 (e) 13554\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 14*y + 17*y + 1429, 2*q - 3*y - 707 = 0. What is the remainder when q is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -78, -177, -252, -243, -90, 267, 888, 1833?\nAnswer: 3162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 - -5.2. Let u = 5.6 - t. Let r = u + 0.7. Round r to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 176\/5 + -4219\/120. Let b = x - 7\/24. Sort -1\/6, b, 0.22 in ascending order.\nAnswer: b, -1\/6, 0.22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x + 10. Let d(i) = -2*i - 20. Let s(q) = q**3 + 6*q**2 + 3*q + 7. Let z be s(-6). Let v(y) = z*g(y) - 6*d(y). What is the units digit of v(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*v**2 + 268*v - 1136 = 0. What is v?\nAnswer: -71, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 120770 and 12.\nAnswer: 724620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2221943253?\nAnswer: 3, 740647751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15884 + 15883.6. Let c be ((-5)\/4)\/((-9)\/(-12)). Sort k, 0.18, c.\nAnswer: c, k, 0.18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/2)\/(210\/140)*(-6)\/8?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d**3*o**2 + 11*d**3*o + 154*d**3 + 7*d**2*o + 222*d*o**2 wrt d.\nAnswer: 6*o**2 + 66*o + 924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8534394 divided by 258618?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31912?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -350 + 561. List the prime factors of b.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000010010110100111010 - -11110?\nAnswer: 10000010010110101011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48, 38, 28, 18?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 325, 322, 319, 316?\n\"Answer: -3*t + 328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zxzztzzzdzzz. What is prob of sequence zx?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1518 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -1004 to the nearest 10.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 3*t + 90. Let p be k(-29). Solve -5*g + 2*g = -p for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-0.17\nAnswer: 0.034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**0\/f)**(28\/9)*(f\/f**0)**(-1\/30) assuming f is positive.\nAnswer: f**(-283\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {e: 5, l: 11}?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 40*o + 30*o - 112*o - 1 - 4 + 30*o. Let u(x) = -x + 1. Determine -b(n) - 5*u(n).\nAnswer: 17*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**4 - 8*i**3 + 12*i**2 + 32*i + 16.\nAnswer: -4*(i - 2)*(i + 1)**2*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -27364, -54733, -82102, -109471, -136840, -164209?\n\"Answer: -27369*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 - (6 - (-3 - 0 - -6)) - -10?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.9 + 5. Let v = 0.1 - n. Let d = 4 + -5. Which is the nearest to v? (a) -0.4 (b) -1\/2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 4*l + 15 - 15.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 77.1 rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 3*g**4 + 1791*g**3 - 72882*g**2 - 312924*g - 320040 = 0.\nAnswer: -635, -2, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 2) to base 16\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110 = 17*j + 365 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or 235?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -91500 * 0.089.\nAnswer: -8143.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10 + 19*a**3 + 24 - 10*a**4 - 19*a**3 wrt a.\nAnswer: -40*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, s: 7, m: 1, g: 1, j: 5}. Give prob of sequence jjmk.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h. Suppose 0 = -2*v - 3*v + 15. Let o(b) = 3*b + v*b**2 - b - 2*b. What is w(o(m))?\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2682)\/(-30) + 3\/5 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -3*m + 2898, -1920 = -4*i - m + 3876. Which is greater: 1448 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((sqrt(108) - sqrt(108)*4)**2 - sqrt(108)) - ((sqrt(108) - (1 + sqrt(108)))**2 + sqrt(108))*-4)*5.\nAnswer: 90*sqrt(3) + 4880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-30)\/(-20) + 2626211\/2. Let y = -1893107 + t. What is y rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 AM and 9:17 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 45 - 45 + 11*q + (1 - 1 - 2)*(2*q + 2*q - 5*q) in the form b*q + w and give b.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 763 divided by -13680.\nAnswer: -763\/13680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h**2 + 11*h + 14. Give k(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 469 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -8*p. Let c be o(-2). Suppose 3*m = -m + c. Let l(y) = -4*y**2 - 4*y - 1. Let i(w) = -5*w**2 - 5*w - 1. What is m*l(f) - 3*i(f)?\nAnswer: -f**2 - f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89 - 83 + 172 + 2*w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2098 a factor of 127875198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 5*f = 7268 + 12182, 5*f = -3*b + 11670. What are the prime factors of b?\nAnswer: 2, 5, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (672 - 47 - 241 + 735)*(7*z**2 + 4*z**2 - 4*z**2)*(-1 + 2*z + 1).\nAnswer: 15666*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)\/(sqrt(4) - (sqrt(4) - 1*sqrt(4))*-6).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 390 and -16.\nAnswer: -6240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 17993032 to the power of 1\/2, to the nearest integer?\nAnswer: 4242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)\/(sqrt(9)*-2) - ((sqrt(51)\/sqrt(3) + 2)**2 - sqrt(17)))*3.\nAnswer: -63 - 21*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 334304415 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (38 - 8)\/(2 - 2\/4). Let z be 4\/(-5) - ((-1736)\/m + -1). Calculate the greatest common divisor of 522 and z.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 27*h**2 + 1217*h + 14. Calculate n(-46).\nAnswer: 1164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z**2 + 2*z - 24. Let c be w(0). Let m be -8*7*(-4)\/c. Do -9 and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 0*i + i)*(-5*i + 5*i - i**3) - 5484*i**4 + 11723*i**4 - 5510*i**4.\nAnswer: 728*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9527?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 7, w: 2}. Give prob of picking 1 w and 1 z.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of l**4\/4 + l**2\/2 - l + 10. Let r be i(1). Solve 7 = -4*p - r, p = t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1071 to 2 dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = q + 6, 680*p - 682*p - 2*q = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -4209.2\nAnswer: 8418.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 360535 - 359773.276. Let u = -762 + o. What is u rounded to two dps?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*p - 84 - 1\/3*p**2.\nAnswer: -(p - 21)*(p - 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000958134 to five dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 4*n**2 - 217088*n + 2945449984 = 0?\nAnswer: 27136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, 0, -0.2, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-5))\/((-234)\/(-260))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gvcdsdg. Give prob of picking 1 d and 1 c.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/4, 0, 0.1, 2, 0.2, -6376?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*(-4)\/24*-102. Let y = z + 140. What is the units digit of (30\/15)\/(2\/y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 39 - 37. Let z be g*1 + 17 + -15. Solve -z = -5*x + 3*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 16*r**2 - 61*r + 10. Let b(h) = -13*h**2 + 62*h - 10. Let g(q) = -6*b(q) - 5*z(q). What is the units digit of g(-32)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-38)\/(-6))\/((-16)\/48). Let v be (10\/105)\/((-2)\/(-6)). Which is smaller: v or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1422*p**4 - 2*p**3 + 114*p**2 + 14587167*p wrt p.\nAnswer: 17064*p**2 - 12*p + 228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 + 6*p**2 + 5*p - 60. Let l be j(6). What are the prime factors of 6 - (-325 + l\/6)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = -5*y - 3*p, -4*p + 5 = -2*y + 3 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1491 and 36062817.\nAnswer: 1491","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -5*b + 5*b - b + 0 + 1. Let a(u) = 3*u**3 + 6*u - 11. Let f(d) = a(d) + 6*r(d). Differentiate f(o) wrt o.\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011001 + 1011101?\nAnswer: -111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -4*v - 198 + 59, -5*c + 3*v - 167 = 0. Let h = 44 + c. Suppose -5*n + 2*y = 4 - h, 2*y - 9 = -n. Solve 2*d = n*d - 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 + 9*v + 4. Let b be n(-9). Suppose b*t = -t + 90. Let g be 4\/t - (-11)\/(-9). Do -4\/9 and g have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -11*m + 12*m. Let n be (-20)\/2*(m - -5). What is the second derivative of -n*t**2 - 1 + 23*t**2 + 6*t + 1 wrt t?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-1\/2)*p*p)\/p**(-4))\/(p\/p**0)**(-15\/7) assuming p is positive.\nAnswer: p**(121\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - s**2 - 5*s. Let h be n(6). Suppose 5*d - 2*d = h. Is d a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 20 = -2*x. What is the remainder when (-2)\/9 - (-238)\/18 is divided by x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13327320 divided by 4?\nAnswer: 3331830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -712 + 710. Put 20, j, -2\/7 in decreasing order.\nAnswer: 20, -2\/7, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6*((-12)\/9)\/4. Let f = -5\/2 + w. Suppose 2*p + 4 = -2*p. What is the nearest to p in -5, 0.5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5954?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) - (sqrt(132) - 2*(sqrt(132) - (1*sqrt(132) + sqrt(132)) - sqrt(132) - sqrt(132))) - sqrt(132)) + sqrt(132) - sqrt(132))\/(-1*sqrt(768)).\nAnswer: 7*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6896328 is divided by 275851?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.543517 kilometers in micrometers?\nAnswer: 7543517000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 98 + 26 + -118 + 97.\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1827 and 48024?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 11 + 3. Suppose -5*t + 1502 = -o, r*o - 294 = -t + 4*o. Let z = -182 + t. Does 19 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 8 + -5 + -28 + 2 + -4.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 56\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1492 (base 15) to base 8.\nAnswer: -10474","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -7. Suppose -42 + 50 = 2*n. Suppose -n*s + 15 = -5. Which is the nearest to 1? (a) o (b) s (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 7528*h - 2542587 - 3*h**2 + 24683 - h**2 - 1471437 + 447417 = 0. Calculate h.\nAnswer: 941","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n**3 + 93*n**2 + 257*n - 186. Give f(49).\nAnswer: 402","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111890458.\nAnswer: 2, 73, 766373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 - 12*l**2 + 14*l + 6. Calculate m(-13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 7*a - 8. Let d be c(4). Suppose -y = -7 + 2. What is the greatest common factor of d and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 2:55 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m\/m**(-1\/37)))**(-24))**18 assuming m is positive.\nAnswer: m**(-15552\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 + 29*k**2 + 102*k + 639. Give q(-26).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 71 and 26.\nAnswer: 1846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1155, -6094, -14805, -27288, -43543, -63570?\nAnswer: -87369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 105118\/24 - (-29)\/3480*10. What is the greatest common divisor of t and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 4. Let w(u) = -u**2 + 6*u - 3. Let h be w(5). Suppose -7*a + h*a = 2*r - 24, 0 = b*r + 2*a - 36. Is 11 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 240 and 423888?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-63)\/(-46))\/3 + (-3436)\/(-79028)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i + 15. What is s(0)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1000 - -110013322?\nAnswer: 110012322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1422 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: Calculate the remainder when 134 is divided by 40.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of o**5\/30 + 4*o**2. Let n(v) = -1287*v + 104. Let q(a) = 37*a - 3. Let p(d) = -3*n(d) - 104*q(d). Calculate x(p(l)).\nAnswer: 338*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -7*u + 3. Let c(r) = 71*r - 31. Let v(z) = 4*c(z) + 44*j(z). Suppose -4 + 1 = 3*p. Let k be v(p). Calculate the greatest common divisor of 8 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 234 + -117. Let l = 102 - w. Which is greater: l or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 2*y + 322, -45 = -2*h - 3*y + 597. Calculate the remainder when h is divided by 66.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 201 (b) 4 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -570*f**5 - 13*f**4 + 77435*f**2 wrt f.\nAnswer: -34200*f**2 - 312*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21415087.\nAnswer: 17, 61, 107, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 152954085*-4\nAnswer: -611816340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of 4*n**2 + 0 - 1\/2*n**3 + 1\/12*n**4 - 9*n. Let d(p) be the first derivative of u(p). Calculate d(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -375354 and 480 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2181162 is divided by 272642.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 37709\nAnswer: 3\/37709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1045)\/(-171) - 18\/3.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 - -14. Is -10 < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10+-21251900762\nAnswer: -21251900752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.110841 millimeters in micrometers?\nAnswer: 4110.841","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6806 - 1944 = -17*t. Let i = -419 - t. Is -133 <= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -17*h**2. Let t(c) = 3092*c. Determine b(t(k)).\nAnswer: -162527888*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -102312 + 10?\nAnswer: -102302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwrrwrrwwrwrrrrrwrr. Give prob of picking 3 w.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2343 + 4833*p - 2413*p - 2422*p + p + p - 3*p + (1 + 5 - 4)*(3*p - 2*p + 0*p).\nAnswer: -p - 2343","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/(-36)*(-2 - -35). Let o be a - 8 - (-1 - 0). Is (12\/o + -392)*-1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 61 (b) -1\/2 (c) 3 (d) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*r + 42 = -22*r for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (6 - (12 - (-9 + 3))).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 8 + 1 + 7 + 0?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2202793.4 and 34467.\nAnswer: -2168326.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -4*c + 3. Let z(u) = -6*u + 6. Let s(j) = -5*j + 5. Let a(f) = -7*s(f) + 6*z(f). Let l(n) = 6*a(n) - 2*i(n). Let g(p) = 5*p. What is l(g(t))?\nAnswer: 10*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 535696?\nAnswer: 2, 7, 4783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -11*x + 1. Let r be v(-1). Let d be 36*3\/r*2. Suppose -3*m - d = -3*q - 6, -q = -3*m - 2. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 5:47 PM?\nAnswer: 7:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 3*p + 34 = 28, -a + 4*p - 9 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -6*n**3 - 4*n**2 - 20*n. Let x(h) = -5*h**3 - 5*h**2 - 19*h + 1. Let j(t) = -6*g(t) + 7*x(t). Let k be j(12). Put -1, k, 1 in descending order.\nAnswer: 1, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0974 - 0.0994. Which is the nearest to -0.1? (a) -0.1 (b) k (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 15\/(-6) + (-1)\/(-2). Let s be 1 - (1\/1 + n). Suppose -5*f + s*f + 9 = 5*q, -4*f + 41 = -3*q. Solve 2*u + 0*u = f for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 7) to base 14\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*l - 12 = -4*f + 11*l, 5*f - 3*l - 15 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is y in y**5\/4 - 33*y**4\/4 - 91*y**3 - 156*y**2 + 360*y + 756 = 0?\nAnswer: -6, -3, -2, 2, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iniicicnncc. What is prob of sequence nci?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/3 (b) 2 (c) -312 (d) 0.011\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 11:33 AM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r - 2*r**2 - r + 829 - 126 - r.\nAnswer: -2*r**2 - 4*r + 703","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/3))**(-24)\/(u\/((u\/(u*u**(1\/6)))\/u))**(-2\/19) assuming u is positive.\nAnswer: u**(-443\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 - 14*r**2 + 13*r. Let w be m(13). Sort w, -4, 3, -1 in increasing order.\nAnswer: -4, -1, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1773, -1994, -2215, -2436?\nAnswer: -2657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*i**3*s**3 + 3*i**3*s**2 + 34*i**3*s + 2*i**3*y - 84*i**2*s*y - 2721*i*s**3*y + 17*s**2 + s*y wrt s?\nAnswer: -72*i**3 - 16326*i*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 2*c + 8, 0*d - d = 5*c - 2. Suppose -d*t = -7*t - 35. Let q(u) = u - 3. Let v(g) = -g + 2. Calculate t*v(z) - 5*q(z).\nAnswer: 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 7:01 AM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, -201, -2, 1\/6, 0 in decreasing order.\nAnswer: 4, 1\/6, 0, -2, -5, -201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 18715380 to the nearest ten thousand.\nAnswer: 18720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1540 and 57793.9.\nAnswer: 56253.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.30821 rounded to 3 dps?\nAnswer: 0.308","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -19*y**3 - 2*y**2 - 6*y + 15. Let x be d(4). Let s = -116 - x. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 211 - 191 - (1 - -15)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/63 and -48.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12194684 to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17949410 is divided by 135980?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 + 11*h**2 - 9 - 5*h**2 + 9*h + 0*h**3. Suppose 84 - 35 = 7*x. List the prime factors of y(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence npqn when four letters picked without replacement from mmiqmmmninmp?\nAnswer: 1\/5940","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 342 - 52. Let d = f - 178. What are the prime factors of d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 - 2*k. Let z be p(1). Let c be z\/(3 - (-294)\/(-99)). Let v = -17 - c. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1086*h**3 + 117*h**2 + 12*h - 167579940 wrt h.\nAnswer: -3258*h**2 + 234*h + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/4131168 and -69\/37420?\nAnswer: 20655840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 1388?\nAnswer: 6940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 - 11*u**2 - 20*u - 3. Determine k(-8).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0892 - -2.0892. Let y = 0.09 - 4.09. What is the closest to -9\/5 in m, 6\/5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 15, -3, -17, -15, 15?\n\"Answer: 2*r**3 - 10*r**2 - 2*r + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 8. Let l be ((-3)\/25)\/(30\/4). Let i = l - 232\/1125. What is the nearest to z in 2, 5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 5:03 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -14 and -19046.\nAnswer: 266644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -237 - 39. Let u be -12 + d\/(-24) + (-22)\/(-4). Solve 0*n + u*n - k = -4, -5*n = -2*k + 8 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1314, 1344, 1402, 1494, 1626, 1804?\n\"Answer: x**3 + 8*x**2 - x + 1306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*g - 4. Suppose 0 = 3*p + 31 - 1. Let l be (4\/p)\/((-2)\/(-20)). Which is the nearest to g? (a) -0.2 (b) -3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184*z = 22*z + 131*z - 134800. What is the highest common factor of 4720 and z?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 1, 2\/21, -2.66, 0.2, 4.2, -3?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 3*f - 16)*(-2*f**2 - 27578*f + 0*f**2 + 24028*f).\nAnswer: 6*f**3 + 10650*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a year in months?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z = -20*z + 35002. What is the thousands digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 - 6)*(0*s - 6*s + 2*s)*(-2 + 0 - 3)*(-4 + 0 + 3)*(-1 + 1 - 1) as i*s + a and give i.\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z**3 + 35*z**2 - 29*z - 77. Let y(o) = o**3 + 1. Let g(u) = k(u) - 3*y(u). Calculate the remainder when 449 is divided by g(34).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 647914 is divided by 640?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 118, 1140, 4032, 9766, 19314, 33648, 53740?\n\"Answer: 162*i**3 - 37*i**2 - i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -28650 from 514158.934.\nAnswer: 542808.934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 2*d = 8, 3*d + 3 = -2*a + 4. Suppose -a*t + 4*g = 9*g - 89, -2*t = -2*g - 54. Is 16 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3641143?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -24757101.5 to the nearest 1000000.\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, v: 2, e: 1, w: 1}. What is prob of sequence eg?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 271196163 is divided by 442.\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together -11 and -86975.\nAnswer: -86986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**1)\/o)**41\/(o**5)**(15\/4) assuming o is positive.\nAnswer: o**(89\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1850 + 1084.9. 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: Expand (-k**2 - 3 + 3)*(-4 + 4 - 1) + 12*k**2 - 5*k**2 - 14*k**2 - 1.\nAnswer: -6*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32 - -2. Let q = 348.8686 + -314.88. Let a = q - j. What is a rounded to 3 dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 7:54 AM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*t - 37*t = 404 - 92. Let y(q) = -q**3 - 4*q**2 + 3*q - 6. Calculate y(t).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-10) - ((-454)\/(-10) + (-19 - -34)\/15).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, y: 7, b: 3, o: 1, k: 2}. What is prob of sequence yygk?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 - -0.1. Let t = 0.02 - -7.88. Let l = -8 + t. Which is the closest to z? (a) l (b) 5 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 7, 3847952.\nAnswer: 6, 7, 3847952","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**2 + 2 - 2)*(7*l**2 - 3*l**2 - l**2) - 9*l**4 + l**4 + 0*l**4 - 3*l**4 - 4*l**2 + 4*l**2.\nAnswer: -8*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 PM and 9:05 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 + 9*f - 6. Suppose 0 = -5*n + 3*g + 44, -3*n + 4*g - 9 = -6*n. Determine y(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6085 minus 1430?\nAnswer: -7515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rsjh when four letters picked without replacement from {r: 1, j: 1, s: 1, h: 1, z: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 137091 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11135 and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 b when three letters picked without replacement from bbbblwbbbbqlbqqb.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 70 - 1. Let x = z - 64. Solve -g + x*g = -20 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -4 (b) 0 (c) 3 (d) -39 (e) 21\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 0.2, 27, 200, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 76370149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14108 * -37697.\nAnswer: 531829276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 - 24 = 26*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2*j = 8. Suppose 0 = b + j*b. Suppose -363000 = -b*i + 3*i. Round i to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18*-9\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 965 > 867?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3754160*p**4 - 4*p**3 + 55176090 wrt p.\nAnswer: 15016640*p**3 - 12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12749 + 17941. What are the prime factors of r?\nAnswer: 2, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25298 divided by 5?\nAnswer: 25298\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -8 - 10 + 12*h - 8 + 9. What are the prime factors of w(7)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(2\/5))**(-2)\/(o**3\/(o\/(o\/o**(-3\/7)))) assuming o is positive.\nAnswer: o**(-218\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qtooqqutq. Give prob of picking 1 o and 1 t.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11157 + 559?\nAnswer: -106a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 33*l - 2240. Calculate n(68).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 45*o - 41*o - 4*d, 5*o = 3*d + 26 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/20 and -73\/71388380.\nAnswer: 71388380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 14546, 29208, 43868, 58526, 73182, 87836?\n\"Answer: -q**2 + 14665*q - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = -6*g + 9*g + 26, 4*g = k - 18 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - 8*n**2 + 16*n - 2. Let z be t(4). Let h be (z\/5)\/((-16)\/400). Solve -q + 17 = 3*q - 5*c, h = 4*q + 2*c for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 17, 85, 205, 383, 625, 937, 1325?\n\"Answer: c**3 + 20*c**2 + c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = -4*f - 6513 + 6530, 0*f + 0*g + 2*g + 1 = f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a milligram in micrograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 31241434 + 33?\nAnswer: 31242022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2*y + 1 + 16 = 0, -6 = 2*y. What is the common denominator of 17\/15 and -2 - (7\/(-7))\/((-12)\/w)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 62*n - 80*n - 90 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-38)\/(-84)*-2 - (-1)\/1\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -286320, -572649, -858978?\nAnswer: -1145307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -2, 62, 172, 328?\nAnswer: 530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 167\/2 + -1173\/14. Which is the closest to 0? (a) t (b) 2\/9 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*p - 0. Let k be 2*(-1)\/(6\/(-15)). What is the third derivative of -3*n**2 - n**p + 3*n**3 + k*n**2 wrt n?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l + 2 - 2*l - 2*l + (1 + 2 - 5)*(1103*l - 550*l - 557*l + 113).\nAnswer: 6*l - 224","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3097 + 4519. What is the hundreds digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 32 + (-5 - 5).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14*(-9)\/(-108)*(-28)\/(3724\/57)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**2*p)**44\/(p**(-2\/5))**(10\/7)*((p**1)**41)**(-14) assuming p is positive.\nAnswer: p**(-4014\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2 = 3*m - 7*m, 4 = 2*t - m. Suppose -3*d - 5 = 4*l, 2*l = -3*d - t*d + 15. Solve 6*j = 5*x + j - d, -2*j = 2 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7572)\/(-17717) - 63\/147. Does 0 = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 57*r**2 - 57*r + 57. Let t(v) = -7*v**2 + 7*v - 7. Let m(o) = -33*t(o) - 4*u(o). Suppose -4*a - 6 = -7*a. Does 9 divide m(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28 + -24.6. Let t = i + -3.59. Let z = -4.81 + t. What is the second biggest value in -0.2, -10, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(12\/(-8)) - -33. Suppose -4*b + 104 = -4*h, 4*h + o - 8 = b. Calculate the highest common factor of b and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 2) to base 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7173, -4, -0.1, 0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 n when two letters picked without replacement from {n: 7, e: 1, p: 1}?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (16 - (7 - -7)) - -40\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + 2 - (11 + -5 + 2). Let d = y + 115. Let j(r) = -d - 2*r + 109. Let m(h) = 5*h**2. Determine m(j(q)).\nAnswer: 20*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 - 3*s - 42. Let w be h(0). Let q = -39 - w. Let t be -3 + q - ((-15)\/(-12) + -1). What is the nearest to t in 8, -4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.743 - 1.257. What is the nearest to 1 in -2\/9, z, 92, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 118 - 104. Solve -5*r = 2*r - o for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4109608459314 and -1.\nAnswer: -4109608459315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 5*a = -13, 3*z = a + 24 - 10 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 166 divide 527634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 6 = l, -2*m + 4*m - 4*l = -4. Let h be m\/(-1) - (4 - 2). Which is smaller: h or 0.1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, -9, 13 in increasing order.\nAnswer: -9, 2, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*d + 26*d - 39*d**2 - 22*d - 3*d**3 to the form j*d + g*d**2 + z + s*d**3 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 5 = 40. Let t = -56 - -57. What are the prime factors of t*(236 - y\/3)?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6\/25 of a micrometer?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u - 22815*u**3 + 22805*u**3 + 18*u - 13*u.\nAnswer: -10*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 2 (b) -0.5 (c) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 832996 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*u = -20*u - 201*h + 198*h - 29, -2*u + 19*h = -110 for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/9 (b) 23 (c) -2\/7 (d) 0.06 (e) 2\/5 (f) 1\/223\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -5*p. Let v(t) = -t + p*t - 2 - 1 + 2. Calculate v(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1119*o - 109?\nAnswer: 1119","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22836 - -22837. Is o greater than or equal to -1\/249?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-32)\/(-3 - -1) + 39\/(-39). Solve 0 = -7*f + 4*f - u, 5*u = y for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 37 - (-54 + 55 + -10 + -4 + 3)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x**2 - 30*x - 40. What is m(-13)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**2 + 254977424*d - 8126685843709472 = 0. Calculate d.\nAnswer: 63744356","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1001110 (base 2) to base 5\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 413204.8 decades to millennia.\nAnswer: 4132.048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ae when two letters picked without replacement from {z: 1, a: 4, k: 1, e: 4}?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36823 + 85546 = 5*h + 8*h. What is the hundreds digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 312 and 108.\nAnswer: 2808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1887*g**4 + 2*g**3 + 12179?\nAnswer: -7548*g**3 + 6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 41 = -4*g, -2*g - 16 = f + 3*f. Let o = -3 - g. Suppose -i = -4*s + 30, 2*i = -8 + 4. Calculate the greatest common factor of o and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 9 = 2*k - 1, 0 = 3*k - 9. Let d be -10*1\/170*r. Factor -d + 2\/17*h + 12\/17*h**2.\nAnswer: 2*(2*h - 1)*(3*h + 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*j = 6*j + w - 17, -5*w = j + 19 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of 0 + 0*d**3 + 1\/21*d**5 - 35*d**2 + 0*d + 1\/420*d**6 + 25\/84*d**4. Factor f(t).\nAnswer: 2*t*(t + 5)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 5 = 3*m. Let d be 5*8\/10 + m. Solve d = k + 2 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 6. Suppose 0 = v*a + 3*a. Let q be (-2)\/(-5) + 16\/10. Which is smaller: a or q?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7796?\nAnswer: 2, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 978493.2 litres to millilitres.\nAnswer: 978493200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 1734 - 294 = 0. What is the highest common divisor of i and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*w - 27 = 87*w + 12. Solve w*l - 8*n = -12*n - 11, -3*l + 2*n = -19 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2076?\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -68 times -0.89\nAnswer: 60.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 4*g, -4*g = -5*u + 4 - 1. Let t = -5 - -9. Suppose -4*f = 5*m - 8 - 9, t*f = -2*m + 14. Do f and u have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 127217 (base 10) to base 5\nAnswer: 13032332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -16*b**5 - 10028*b**4 + 124760*b**3 - 309180*b**2 + 61776*b + 276048 = 0. Calculate b.\nAnswer: -639, -3\/4, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2682852 divided by 2498.\nAnswer: 1074","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1650?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39452372, -39452374, -39452376, -39452378, -39452380?\nAnswer: -39452382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1020.0204 - 1020. Let v = n + -0.1204. Let s = -0.1 - 0.1. Which is the smallest value? (a) v (b) -4\/9 (c) -2\/9 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + 15)*(-2 - -3). Suppose -6*t + 128 = -t + x, -138 = -5*t + 4*x. What is the highest common divisor of m and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -90 - -113. Suppose -98 = -p - 5*r, 2*p - 214 = -6*r + 2*r. What is the remainder when p is divided by k?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*r + r = 0. Let z(f) be the third derivative of -5*f**2 + 0*f**5 + 0 + 1\/40*f**6 + r*f + 0*f**4 + 2\/3*f**3. What is the derivative of z(n) wrt n?\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -750, 12, -1, -5 in ascending order.\nAnswer: -750, -5, -1, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-1*(sqrt(147) + -2) + (sqrt(147)*-2*4 - ((1 + sqrt(147) - sqrt(147)) + -1)))**2*1.\nAnswer: 336*sqrt(3) + 732","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/2996 and 37\/8.\nAnswer: 5992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 127, 148, 183, 232, 295, 372, 463?\n\"Answer: 7*n**2 + 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 + 5*d**2 - 9*d - 8. Let j be k(-6). Suppose 0 = -3*v + 8*v + j. Let f = 21 + v. Solve 2*q = 5*m - q - f, 4*q - 28 = -4*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c**5 - 61*c**4 - 123*c**3 - 79*c**2 - 13*c = 0. What is c?\nAnswer: -13, -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**3 - 2616*q**2 + 239004*q - 2673736.\nAnswer: 4*(q - 547)*(q - 94)*(q - 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 122 - 126. What is the closest to -9\/2 in -3, 0.3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.08 + 0.42. What is the biggest value in -4, -1\/2, -0.2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 1 = 37. What is the units digit of (s\/30)\/(2\/(-30))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 0.3 (b) 3 (c) 572738 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 252, 1573, 3940, 7359, 11836?\n\"Answer: d**3 + 517*d**2 - 237*d - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 125, -3, 3, -319, 228 in increasing order.\nAnswer: -319, -3, 3, 125, 228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - 7. What is the highest common divisor of n and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 + 43 = 2*f. Which is the second smallest value? (a) f (b) 5 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -84012, -168037, -252072, -336123, -420196, -504297, -588432, -672607?\nAnswer: -756828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47945 is divided by 13890?\nAnswer: 6275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 AM and 2:59 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/546453 and -38\/262843893?\nAnswer: 262843893","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.6 in 92, 3, -14, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 0, 0 = -5*l - 3*o + 8*o + 250. Let z(i) = -145 + i + l + 48 + 45. What is z(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 6*n**2 + 6*n + 5. Let g be y(-5). Let o = -7.6 - -5.9. Let z = o - -1.6. What is the closest to 2\/5 in z, 0.2, g?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -611.82 to the nearest integer.\nAnswer: -612","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, j: 7, q: 2}. Give prob of picking 1 j, 1 q, and 1 v.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3878 + -2918. Calculate the smallest common multiple of 33 and n.\nAnswer: 10560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 106 + -152. Let w = u - -26. Is ((-64)\/w)\/(2\/10) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -941 = -6*a + 655. Let k(d) = 539*d - a*d - 272*d. Let o(g) = -48*g + 2. What is k(o(b))?\nAnswer: -48*b + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 AM and 12:36 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/90 and 392\/294 + 604\/(-405).\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, l: 1, j: 1, y: 1, n: 2, m: 1}. Give prob of picking 1 m and 1 n.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -13, -0.5, -2\/21, -4?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1015\/1258167 + -1\/579. Let l = n - 30416\/6519. Calculate the common denominator of l and ((-201)\/138 + 1)*4.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 6233 - 6233 + v. Suppose 0 = -h - 0*h + 6. Suppose -q + c + h = q, 5*c = -2*q - 6. Determine r(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from daadyddyadaadddaaad.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 43237104 a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 2*q - 40, -56 = -6*q + 2*q - 4*v. Sort -8, q, 3 in decreasing order.\nAnswer: q, 3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 6*f - 1. Let t = -31 - -35. Let d(i) = i. What is t*d(s) - j(s)?\nAnswer: -2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 17*w**2 + 17*w + 19. Let t(l) = -8*l**2 - 8*l - 9. What is 6*c(q) + 13*t(q)?\nAnswer: -2*q**2 - 2*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 AM and 2:21 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13 and 10407?\nAnswer: 135291","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1009735?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 19*t = 160 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/3 (b) 1805\/4 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1418046065 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 9:17 PM?\nAnswer: 8:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.078 - -9.172. Let b = -6.3 + y. Let p = 3.4 - b. What is p rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 2*a - 3*a + 5 = 0, -2*x = -5*a - 16. Let o(r) be the first derivative of 0*r**2 + 1\/3*r**x + 2*r + 1. What is the derivative of o(n) wrt n?\nAnswer: 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 w when two letters picked without replacement from wuuuwwujjujuwu?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 811186320.\nAnswer: 2, 3, 5, 7, 113, 4273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 51 + 38 = 3*n, 2*n = -2*y + 38. Let q(x) = 27*x - n*x + 60*x. Let h be q(2). Calculate the highest common factor of h and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -0.37 (c) 269\/244\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -457292 > -457256?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -39, -0.1, 0.3, 0, 3?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -123 + 123.3. Suppose -2*y + 3*o - 9 = 0, 0*o + 20 = -3*y - 2*o. Let d be (2 + 10\/(-4))*y. Sort -5, q, d in descending order.\nAnswer: d, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 2*sqrt(13)*5)**2 - -4*(sqrt(52)\/((sqrt(4) - (sqrt(4) - sqrt(8)\/sqrt(2))) + sqrt(4)) + sqrt(13)).\nAnswer: -14*sqrt(13) + 1301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 - 10*n - 3. Let q be c(10). Let r be q - (5*-2 + 2). Let j be (-10 - -2)\/(-3 + r). Is -4 > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 6. Suppose 10 = s*l + 1. Suppose l*h = o - 6*o + 28, -4 = -h + o. Solve -5*d - h = 9 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 2574 = -u - 11*u. Calculate the remainder when u is divided by 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 72*p + 2. What are the prime factors of i(1)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 5*p - 56, 2*c - 41 - 13 = -5*p. Suppose 0 = -p*g - 12*g + 2574. Is 9 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1881 and 742583061?\nAnswer: 1881","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 379188 and 216?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w + 2. Let q be k(-6). Let g = 15 + q. What are the prime factors of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02887048128 rounded to 5 decimal places?\nAnswer: -0.02887","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**3 - 3*j**2 - j + 1. Let p(s) = -3*s**3 + 5*s**2 + 2*s - 3. Determine -5*i(d) - 3*p(d).\nAnswer: -d**3 - d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 915910 and 650.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -228*u**3 + 2*u**2 + 3*u + 2. Let h be s(-1). Suppose h*i + 112 = 233*i. What is the least common multiple of i and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -341*o**2 - 48*o**3 + 182*o**3 + 162*o**2 + 179*o**2.\nAnswer: 134*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - g - 1 = 0, 5 = 17*a - 19*a - 5*g for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -213 times -0.117\nAnswer: 24.921","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/7 and ((-12)\/56)\/((-1)\/(-2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1429*w - 1704*w + 270912 = 1100*w for w.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.152 from -37346765.\nAnswer: -37346764.848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -181*v**3 + 11*v**2 - 15*v**2 + 4*v**2.\nAnswer: -181*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 141888 and 131520?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 - 5*j**2 + 2*j + 4. Let g be z(-5). Let t = -2 - g. Suppose t*v + 2 = -2. Which is smaller: v or -2\/13?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y**2 - 4*y**2 + 5*y**2)*(4*y + 0*y + 2*y)*(-1 + 0 + 0).\nAnswer: -30*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7888 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 77\/5 (b) -1 (c) -3\/4 (d) 218\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 58 = 41. Let k = c - -27. Let m(u) = -u. Let t(d) = -3*d - 2. Give k*m(z) + t(z).\nAnswer: 3*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of -c**5\/60 - c**4\/6 - c**3\/2 - 3*c**2. Suppose 15 = -3*o + 3*b, -9 = o - 3*b - 0*b. What is h(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-3)\/(j**24*j))\/((j*j**(-3\/2))\/j*j*j**(6\/11)))**40 assuming j is positive.\nAnswer: j**(-12340\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*p = -221 + 455 + 506 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11563 is divided by 39.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (10 + -7)\/((-1)\/(-9)). Calculate the highest common factor of t and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*n + 29*n - 21*n - 59055. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - q. Let b(r) = -8*r - 14. Let f(h) = b(h) + p(h). Calculate f(10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9345829?\nAnswer: 2671, 3499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2362, -1377, 398, 3071, 6750, 11543, 17558, 24903?\nAnswer: 33686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 25977260 and 40.\nAnswer: 51954520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54 - 9 - 7 - -5 - 4 - 9.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1033508575.\nAnswer: 5, 11, 719, 5227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -288 - -311. Calculate the remainder when 114 is divided by t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*(0 - 2\/(-1)). Suppose v*x - 4*t = -7 + 27, 0 = -4*x + 3*t + 15. Suppose -n + 61 = 5*k, -3*k + k + n + 30 = x. Does 7 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.33 - 1.53. Suppose -204*h - 4*h = 3383 + 985. What is the third biggest value in 1\/2, h, j?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*t - 100*t - 878 = 3090 + 4498 for t.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h**2 + 17*h - 23. Let r(i) = -i**2 + 8*i - 11. Let k be (-10)\/6 - 2\/6. Let c(l) = k*y(l) + 5*r(l). Find w, given that c(w) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 22, 29, 48, 85, 146, 237, 364?\nAnswer: 533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 - i - 146. Give o(-11).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2010 (base 8) to base 4.\nAnswer: -100020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89b (base 12) to base 11.\nAnswer: a56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(1053))*-4 + sqrt(1053) - sqrt(1053))**2 + 1 - (sqrt(117)*1*-3)\/((sqrt(270)\/sqrt(5))\/sqrt(6) + sqrt(9)).\nAnswer: 1731*sqrt(13)\/2 + 16993","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -39632*r + 39677. Give c(1).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/21 + 530\/1456 + 18\/(-48)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145885356269 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(143) - -3*sqrt(143)*1)\/sqrt(11) + ((sqrt(52))**2 + -1 - (-1 + sqrt(637))**2).\nAnswer: -584 + 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - 6*d + 3. Suppose -n - 5*u = 22, -2*n - 27 = 5*u - 8. Calculate the smallest common multiple of a(n) and 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5242626*v**2 - 2*v + 4710853 with respect to v.\nAnswer: 10485252*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of -o**5\/180 + 37*o**4\/36 - 1369*o**3\/18 + 44*o**2. Factor x(l).\nAnswer: -(l - 37)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**5\/11 - 38*s**4\/11 - 248*s**3\/11 - 576*s**2\/11 + 864\/11 = 0. What is s?\nAnswer: -6, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -3*m + 5*f - 2*f, 2*f = 5*m - 86. Let j be (-112)\/(-24) + m\/(-24). Solve -4*u - 4 = v, 5*v - j*u - 7 + 27 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 74.7447 to one decimal place.\nAnswer: 74.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 20661685.1 rounded to the nearest 10000?\nAnswer: 20660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 8529 - 22131 = 0. Is f a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -105 by 6.\nAnswer: -35\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -270*h + 474*h - 2448 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.281 - -0.219. Suppose 53 = -2*t - 3*f - 2*f, 0 = 5*t - 5*f + 115. Let b be (t\/(-28))\/(6\/4). What is the smallest value in n, b, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17.500171 + 17.5. Round f to five dps.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1466127580 to the nearest integer?\nAnswer: 1136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = 117 + 51. Let m = l - -32. Solve 4*h - 36 = m*r, -4*r - 2*h - 40 = -7*h for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 64190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 5, 0.5, -6 in ascending order.\nAnswer: -6, -0.3, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.02, 1\/2, 4, -0.069, 1.6 in descending order.\nAnswer: 4, 1.6, 1\/2, 0.02, -0.069","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.5 - 2.6. Let s = 5 - 20. Let g = 16 + s. What is the second biggest value in i, g, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1977?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.08 (b) -0.2 (c) -11\/4 (d) 6 (e) 0.15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*r**2 + r - r + 32*r**2.\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-9)*n**(-3\/7)*n)\/((n\/((n**(1\/12)\/n)\/n*n))\/n**(2\/17)))**(2\/89))**(2\/45) assuming n is positive.\nAnswer: n**(-2921\/285957)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1447 + 14819 + 1163 = 9*j. Calculate the least common multiple of j and 70.\nAnswer: 22610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2225836557.\nAnswer: 3, 7, 163, 72251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 130 + -128. Suppose -g*u = 2*j - 88, -j + 5*u = -3*j + 73. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 285603581.\nAnswer: 23, 41, 83, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -29731767 and 299?\nAnswer: 29732066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 521416406 to the nearest integer?\nAnswer: 22835","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-4)*((-128)\/20 - -7)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*r**2 + 230*r**2 + 260*r**2.\nAnswer: 405*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.191 - 0.009. Let t = 5.2 + k. Let b = -2 + -3. Put b, 1, t in decreasing order.\nAnswer: t, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of -7*t**4\/24 - 3*t**3\/2 + 2*t**2. What is the remainder when a(-6) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 5963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + 27*p**2 - p + 30. Let m be a(27). Let c = 155 - m. Calculate the highest common divisor of c and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -53076536*m**3 + 100*m**2 + 9073*m wrt m.\nAnswer: -318459216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 + (-9)\/15)\/(6\/20). Let m be (-15)\/u*(-22)\/55. What is the smallest value in -16, m, -5, 2?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 8915*j**2 + 714*j - 4327. Is z(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) - sqrt(156)*-2*-3)\/(sqrt(4) - 1*sqrt(144)))\/(5*(-2*sqrt(363) + sqrt(363) - (sqrt(72)\/sqrt(6) + sqrt(3)))).\nAnswer: -sqrt(13)\/70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 3*p + 66 = -p, -4*u = -2*p + 54. Let y be (-52)\/u - 4\/(-6). Calculate the highest common factor of y and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64202*l = 64192*l + 40. Suppose y**l + 29\/4*y + 6*y**3 + 45\/4*y**2 + 3\/2 = 0. What is y?\nAnswer: -3, -2, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59694*h - 59905*h - 2 + 119597*h.\nAnswer: -2*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 2134 divide 251050529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 12. Let i(l) = l + 3. Let a(w) = w + 4. Let c(f) = 3*a(f) - 4*i(f). Give c(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -101013150835766349 - -101013147058109824.20000133. Let n = f - -3777656492. Let r = n + 32.8. What is r rounded to 7 dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 494 is divided by 119?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from heirrghn. What is prob of picking 1 n and 1 h?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(0 + 9))\/(3\/9)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(((-12)\/(-15))\/(-1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -119.428 bigger than -2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/72688 and 19\/944.\nAnswer: 72688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7741704?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 200752 + -200583.357. Let o = 169 - t. Let l = 0.38 - o. What is l rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-114)\/(-1558)*1*4\/6.\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 78 and (783\/(-216))\/(3\/(-12)) + 2\/(-4)?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29035 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of s**9\/1512 + s**6\/18 + 2*s**3 - 13*s. Let v(a) be the second derivative of h(a). What is the third derivative of v(n) wrt n?\nAnswer: 120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/6*(-3)\/(-12)*-1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 502180795 to the power of 1\/2, to the nearest integer?\nAnswer: 22409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + p = 8*i + 11, 4*p - 8 = -2*i. Let a be ((-1)\/i)\/((-1)\/(-10)). Suppose 4*h + 2*t - t = 56, a*h = -3*t + 63. Is 2 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 936 and 1152?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 65 - 61. Solve -2*k + 9 = 5*g - 17, -4*g - f*k = -28 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 minus 0.70911?\nAnswer: 14.29089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/496 and 1 + 8 - 6039\/330.\nAnswer: 2480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -444*b**5 + 4244*b**4 + 2796*b**3 - 11844*b**2 - 12880*b - 2928 = 0.\nAnswer: -1, -1\/3, 2, 366\/37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -347*n**3 - 8*n**2 - 8*n + 1591. Let f(r) = 347*r**3 + 6*r**2 + 6*r - 1588. Let w(z) = -4*f(z) - 3*v(z). Differentiate w(g) wrt g.\nAnswer: -1041*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -12*l**2 + 22*l - 11. Calculate v(2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17432, 34803, 52054, 69125, 85956, 102487, 118658?\nAnswer: 134409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -155*z - 171*z + 348*z - 670 - 672 for z.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y**2 - 5*y**2 + 6*y**2 - 18*y + 13*y - 2. Let g be h(-3). Solve 24 = g*i + 4 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, -1, -25, 2\/391, -104, 47?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 12:38 PM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/7 (b) -50 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 637542 is divided by 43.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1585.\nAnswer: 5, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(225)\/(-1*sqrt(9)))\/sqrt(5) + (sqrt(2160)*2)\/sqrt(3) - (2 + 2 + (1*sqrt(720) - (sqrt(5) + -1 + 5))))**2.\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(76)*1 + sqrt(76) - (sqrt(76) + 4*-1*sqrt(76) + sqrt(76)))*-4)\/(-2*sqrt(100) - sqrt(100) - (sqrt(4) + sqrt(20)\/sqrt(5)*3)).\nAnswer: 20*sqrt(19)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c\/(c**15\/c))*c**1 assuming c is positive.\nAnswer: c**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 10 = -2*k + 4*k, -4*k - 2*t - 4 = 0. Let o = -121\/45 - -26\/9. Which is smaller: o or k?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 442d2 (base 15) to base 3\nAnswer: 102000011222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 33618755 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*l + 15*l + 10*l - 27*l.\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -210 times 47685\nAnswer: -10013850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 63493632 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - p - 3*l = 4, 2*l - 2 = 0. Let f be -1*11*-1*1. Let s = p + f. Solve -4*r - 3*h = 20, s*r - 8 = -h + 5*h for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3 - 0.7. Let z = -11.4 - -12.89. Let h = z + -0.49. Which is the nearest to n? (a) h (b) -1 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -1264.\nAnswer: 379.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*a, 4 = -3*j + j + 4*a. Suppose 2 + 22 = 6*v. Suppose -9*r = -v*r - 60. Solve 0 = 7*u - j*u - r for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from vovveco?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.874986 take away 15?\nAnswer: -3.125014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yxxx when four letters picked without replacement from iiizxxxzyzxzgxx?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10012 + -11?\nAnswer: -10100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of -3*v**4\/8 - v**3\/2 + 3*v**2. Let u be c(8). List the prime factors of (4\/3)\/((-5)\/u).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 c, and 1 a when three letters picked without replacement from {c: 4, i: 2, a: 2, p: 6, s: 4, e: 2}.\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f + 10. Let z be h(-6). Suppose -2 + 14 = z*w. Let u(j) = 2*j**2 + 4*j + 3. Let a(t) = -2*t**2 - 5*t - 4. Determine w*u(x) + 2*a(x).\nAnswer: 2*x**2 + 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g. Let o be l(4). Suppose -4*b + 24 = o*p, p + 6 = 2*b + 3*b. Suppose 38 = 3*a + 4*u, -4*a = -3*a + u - 11. Solve -b*n - n = -a for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26 - 24. Find q such that -u*q + q**4 - 2*q**3 + 7*q**3 - 9*q**3 + 5*q**2 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n - 12, l - 6*n = -4*n - 9 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -364441953, -728883909, -1093325865?\nAnswer: -1457767821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 611592610 and 1252.\nAnswer: 626","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 2*a. Suppose p + 2*p = a. Suppose 0 = -g - 4*j + 79, 2*g - 182 = -p*j + 4*j. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o**2 - 61817*o**3 + 2*o**2 + 61819*o**3.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 3*s - 3*s)*(2*s + s + s) + 2 + 6627*s**2 + 2*s + 16 - 6625*s**2.\nAnswer: -2*s**2 + 2*s + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - (-1 - 1 - 1). Suppose 7 = 5*y + g. Let m = 0 - -3. Solve 4*w + 3*q + 12 = -y, -10 = w + m*q for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*b + 324 = 96. What is the smallest common multiple of b and 219?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -5, 0 = 6*k - 3*k + 2*r - 3494. Does 54 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((33\/12)\/11)\/(3\/(-12))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 31810210 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 + 5*i + 4. Determine c(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 7 = -8. Let p = 1 - c. Suppose 1 = p*w - 3. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -3*p**3 + 2*p**2 + 2*p - 3. Let o be d(-3). Calculate the greatest common factor of o and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11995307 and 746.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*y + 0*y + 0*y)*(4 - 4 + 2) + 6*y - 3*y - 2*y + (0*y + y + y)*(0 + 0 - 12))*(776 - 776 - 16*y + (-3 + 6 - 2)*(-4*y - y + 2*y)).\nAnswer: 361*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 v, and 1 s when three letters picked without replacement from sjvjsijijdai?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36594909 is divided by 2915.\nAnswer: 2914","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 4*h - 4 = 0, 2*r + 0*h = -h - 5. Let z = r + 7. Find the third derivative of z*v**2 + 4*v**4 - v**2 - 3*v**2 wrt v.\nAnswer: 96*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*1.16.\nAnswer: 0.232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -962*b - 155 + 470 - 155 - 158.\nAnswer: -962*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -7*c + 2 + c**2 - 5 - 2*c**2 - 1. Let l be p(-5). Let x(g) = -g**2 + 4*g + 5. Give x(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*w - 109*w + 12 = 0. What is the closest to -4\/7 in 3\/7, w, -5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 6*z**2 + 4*z + 4. Let w be 0 - (4 - (-1)\/1). Suppose l - 4 = -5*a + 15, 4*l - 2*a - 10 = 0. What is the remainder when o(w) is divided by l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -526 - 1150 + 101 = 225*q for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 64650 + 1?\nAnswer: 64651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 196 and 1722?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 937*d + 99331. Calculate a(-106).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 70*a - 75*a - 2*j + 6, 0 = 5*a + 4*j - 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 15, -5 in descending order.\nAnswer: 15, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x. Let n(t) = 80*t. Let c(i) = 3*i. Let r(d) = -d**3 + 3*d**2 - 2. Let v be r(2). Let u(z) = v*n(z) - 55*c(z). What is u(w(f))?\nAnswer: -10*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2061536 by 22408.\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.255174 rounded to 1 dp?\nAnswer: -9.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + 2 - 2)*(-6*b**4 - b**4 + b**4 + (-4*b + b + b)*(0 - 2*b + 0)*(0*b**2 + b**2 + 4*b**2)).\nAnswer: 14*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 0.4, 1, 379.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*a = 26*a + 33*a - 98 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-501)\/(-501))\/(3*1))\/((-3)\/(-33))?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3. Let x(w) = 3*w**3 + 2*w + 2. Let i(d) = -30*d**3 - 21*d - 21. Let q(n) = -2*i(n) - 21*x(n). Give 5*q(k) + 12*z(k).\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 3)*(2 + 0 + 0 - 2 + 4 - 1 + (3 + 1 - 3)*(4 - 5 + 3) - 2 + 1 + 2 + 1898 + 1424 - 1027)*(0 + b + 0).\nAnswer: 2301*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**2. Let h(g) be the third derivative of 4*g**2 + 0*g + 1\/24*g**4 + 0 + 0*g**3. What is h(j(o))?\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19*i**3 + 94*i**3 - 6*i - 217*i**2 + 47*i**3 + 6*i wrt i.\nAnswer: 732","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 12537539, 12537528, 12537517, 12537506, 12537495?\n\"Answer: -11*q + 12537550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.7? (a) -0.4 (b) 16 (c) 2.7 (d) -6\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-0.15.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(175)*5)\/(sqrt(45)\/(sqrt(18)\/sqrt(2))))\/(-1*(((sqrt(448) - (-1*sqrt(448) + sqrt(448)))*-5 + sqrt(448) - sqrt(448)) + sqrt(448) + sqrt(448))).\nAnswer: -5*sqrt(5)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -133111 + 31?\nAnswer: -133020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 471715919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one fifth of a meter?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 1 = -5*o + 4, -4*o = -12 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 14*n**2 + 2*n - 11. Let t(b) = -9*b**2 - b + 7. Let r be (-30)\/10*(-16)\/6. Determine r*t(p) + 5*l(p).\nAnswer: -2*p**2 + 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.004046568 to one dp.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72 and 832?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/t**(2\/3))*t)\/t**(-5\/2))\/(t**(-1\/3))**(-19) assuming t is positive.\nAnswer: t**(-13\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*x + 25*x - 11*x - 10*x.\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixth of a millennium?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*b = 32*b - 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 3:08 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4062, -4085, -4134, -4209, -4310, -4437?\n\"Answer: -13*p**2 + 16*p - 4065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 5800*q = 5804*q - 4, -4*j + 14 = -q for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2807.\nAnswer: 7, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5179 is divided by 185.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 18*r**2 + 144*r + 2\/3*r**3 + 360 = 0.\nAnswer: -15, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1677 - 2800 = -28324*q + 28525*q + 14555 for q.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1266412707 divided by 3.\nAnswer: -422137569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -361 - -356.02. What is t rounded to one dp?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxx. Give prob of sequence xx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.13, 7, -3\/10, 8\/169 in increasing order.\nAnswer: -1, -3\/10, 8\/169, 0.13, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 646141.2 millilitres?\nAnswer: 646.1412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - (-1 - (8 - 2)). Suppose -t*l = 4*l - 23969. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(1331) + -2 + sqrt(11) + -5 + ((sqrt(88) - (sqrt(88) - (sqrt(88) + -1*sqrt(88))))*-5)\/(-1*sqrt(968)))*-6)**2.\nAnswer: -9504*sqrt(11) + 61380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 136 + -81. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0009847 rounded to four decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (26\/14 - 2)*(-11 + (5 - -3))\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of -a**6\/720 + 7*a**5\/60 + 5*a**4\/12 + 3*a. Let t(r) be the third derivative of d(r). What is t(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1600 divided by -16.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 36 - 23 + 2*p**2 + 12*p - 3*p**2. Determine z(13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 5*q - 30 = 0, 7*a - 6*a = -4*q + 11. What is the third biggest value in 4, -2\/47, -4, a?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5366*a = 5850*a - 30976 for a.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33402 - 10664. Does 192 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 9) to base 14\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*v - 2*v - 2*v)*(-v + 0*v + 3*v) - 2*v**2 - v**2 + 5*v**2)*((-4 + 6*v + 4)*(3*v - 7*v + 3*v) + 35*v + 4 - 35*v + v**2).\nAnswer: 70*v**4 - 56*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27 + 34. Suppose -3 = 5*l - 2*l, n - 3*l = -s. Let f(w) = -w**2 - 11*w - 6. Calculate f(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(684) + sqrt(684)*-2)*-5 - 3*sqrt(684)*-4)*4)**2.\nAnswer: 3162816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -140 + 1650?\nAnswer: 1510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 + 22. Let l = 1 - 2. Let c = l + 1. Solve 3*m = -m + 5*q - 16, -o*q = c for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -12840 + -2?\nAnswer: -12842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**5\/3 - 12*o**4 + 1482*o**3 + 108*o**2 - 13311*o = 0. What is o?\nAnswer: -87, -3, 0, 3, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2529743*a*m**3 + 45884*a*m**2 - 14*m**2 - 3*m wrt m?\nAnswer: -15178458*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + m = 46 + 170, 0 = 3*w + 3*m + 333. Let g = w + 114. What is the second derivative of -t - 3*t - 2*t + 35*t**g - 5*t**5 wrt t?\nAnswer: 600*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*f**2*r*y - 13459*f**2*y**3 + 2*f**2 + 5*f*r*y**3 + 4*f*y**2 - 2*r - 2*y**3 - 4 wrt f?\nAnswer: -6*r*y - 26918*y**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + 2*w**2 + 3*w + 67. Let y be h(5). Let f(d) = -d + 2. Let k be f(0). Let s be 7\/y - (k + -1). Solve s*r = 4*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 9*w - 30. Let h be f(3). Let i(b) = -5 + 1 + 4 + 4*b + 3. Give i(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.1 + 2. Let b = -41171 - -64267929\/1561. Let n = -1553\/6244 + b. What is the nearest to 1\/3 in q, -0.4, n?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide (-48)\/(-22) - 10\/55 - -17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10087.\nAnswer: 7, 11, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*x = -30*x + 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 5*x - 157, -2*m + 0*x + 2*x + 56 = 0. Let y = 37 - m. Let u be (-24)\/96 + 13\/y. Solve 3*c = -0*n + n + 15, -5*n = -u*c + 15 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/44))**(1\/79)\/(o**(27\/2)\/o*o*o\/o**(1\/25)))**(1\/36) assuming o is positive.\nAnswer: o**(-1256599\/3128400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 499*g**2 - 2504*g + 24. Determine j(5).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 - 9 = -9*h. Suppose 3*l + 3*b - 1208996 = 7*b, 0 = -5*l + h*b + 2014995. What is l rounded to the nearest ten thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + 123*q**2 + 1191*q + 18. Let l be t(-9). Which is the biggest value? (a) 0.2 (b) 5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -18734446, 1, 0, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -144, -148, -156, -168?\n\"Answer: -2*j**2 + 2*j - 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-3)*z**4\/z)**(13\/3))**(-7\/6) assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 14*g**2 + 10*g - 8. Let x be o(1). Suppose 0 = -0*m - 2*m + 50. Let q = m - x. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 2*o - 5*o - 57 = 0, -4*y + 3*o = -48. What is the third derivative of 4*w**3 - y*w**3 - 7*w**4 + 14*w + w**2 - 5*w wrt w?\nAnswer: -168*w - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 338357*x**3 + 941294*x**2 wrt x?\nAnswer: 2030142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7572886333 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110010110110001 + 1000?\nAnswer: 110010110111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -393\/559 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 2*r**4\/19 - 4*r**3\/19 - 54*r**2\/19 - 104*r\/19 - 56\/19 = 0.\nAnswer: -2, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2153222 is divided by 1075?\nAnswer: 1072","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -253 + 251. Which is the nearest to 0.1? (a) -4 (b) -1.9 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*u**2 + 0*u**2 - 2*u**2)*(39409*u - 1858*u + 17914*u + 4 - 1581*u - 4) to the form d + x*u + y*u**3 + l*u**2 and give y.\nAnswer: 107768","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 32*v**2 + 16*v - 4755. Let l(q) = 16*q**2 + 5*q - 2375. Let w(a) = 7*l(a) - 3*y(a). What is the first derivative of w(r) wrt r?\nAnswer: 32*r - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of -u**6\/2520 + u**5\/168 - u**4\/28 - 11*u**3\/6 - 13*u. Let z(k) be the second derivative of x(k). Let z(h) = 0. Calculate h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + j = 96, -3*q = -8*q + 5*j + 120. What is the least common multiple of 11 and (4\/q)\/1 - 119\/(-5)?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 882 or 1?\nAnswer: 882","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooo. Give prob of sequence ooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/7 + 13766*w**2\/7 - 57648665*w\/7 + 9471930700.\nAnswer: -(w - 5945)**2*(w - 1876)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 271 + -275. Let t = 4.4 - 4. What is the closest to 2\/17 in t, r, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1985550 - 9*u + 1985550 + 5*u.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 PM and 7:55 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -822 - 0.3.\nAnswer: -822.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -2362347.\nAnswer: 2\/2362347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*p = -33*p. Suppose p*a + 5*a + 15 = 0. What is the second biggest value in a, -12, -4\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -12*f**2. Let n(i) = -3*i**2 + 2*i. Let g(x) = -13*x**2 + 20 + 9*x - 20. Let o(y) = 2*g(y) - 9*n(y). Determine o(b(w)).\nAnswer: 144*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 448*s**2 - 14*s**3 + 13*s**3 - 462*s**2.\nAnswer: -s**3 - 14*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4*382*(-5)\/40. Suppose 3*j - 44 - w = -p, -3*j + 5*p + 211 = 0. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 47\/80 + -3\/16. Let o(z) = 2*z + 14. Let p be o(-11). Let v be 651\/147 - p\/14. Which is the nearest to -0.2? (a) -1\/3 (b) u (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 3*z**2 - 57*z + 1. Give o(19).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 - 4*r - 8. Let f(h) = h**2 + h + 1. Let y(j) = 3*f(j) - s(j). What is the tens digit of y(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2 + 8*o**2 + 17*o + 27 + 10*o - 7*o**2. Let n be l(-26). Let v(f) = -f**3 - 2*f**2 + 3*f**2 - 5*f**3. What is v(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 5006317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3753 and -1.83.\nAnswer: -0.686799","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1698 * 0.1.\nAnswer: 169.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 376 = -5*x. Let g = x - 91. Suppose -z = -g*z. Solve z = 4*b - 3*q - 6, -3*q - 2*q + 19 = 3*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - 2*s**2 + s + 2. Let z be x(-1). Let i(a) be the first derivative of -2 + 4\/15*a**3 - 1\/5*a**2 + z*a - 1\/10*a**4. Factor i(c).\nAnswer: -2*c*(c - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-455)\/182*(1 - 1\/5). List the prime factors of ((-3)\/6)\/(m\/580).\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + j**2 - 5*j - 2. What is the least common multiple of 74 + ((-30)\/(-4) - 2)*(25 + -27) and i(-3)?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/8))**(-32)*s**32\/s**(1\/2) assuming s is positive.\nAnswer: s**(71\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0)*(1 - 4 + 2)*(-1 - 1 + 8)*(6*l**2 - 4*l**2 - l**2)*(-l**2 - 5*l**2 + 1 + 8*l**2).\nAnswer: 24*l**4 + 12*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 j when four letters picked without replacement from {j: 2, x: 2, z: 9}?\nAnswer: 36\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/3))**(-35)\/(h**(-1\/3))**(-2\/9))\/(((h\/h**(-2\/5)*h*h*h)\/h)**15*(h*h**(4\/5))\/(h*h*h\/(h**(-6)*h))) assuming h is positive.\nAnswer: h**(-7633\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2\/5 - 43746*z\/5 + 159476043\/5.\nAnswer: 3*(z - 7291)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 112274 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((-3 + sqrt(52) + 2*-3*sqrt(13))*2)**2.\nAnswer: 96*sqrt(13) + 869","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -43 - -42.99794. What is c rounded to 4 dps?\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 495 and 3124?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -22, -9, 38, 137, 306, 563, 926?\n\"Answer: 3*x**3 - x**2 - 5*x - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (189\/(-756))\/((33\/(-8))\/3)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -589960*v - 9698840.\nAnswer: -589960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 2 u, and 1 i when four letters picked without replacement from {u: 5, i: 1, z: 6, r: 3}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 7 + 167. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5821 - 8728057005?\nAnswer: -8728057004.4179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*i - 0*j + j + 12, -i = -2*j - 10 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -399*i**4*r**2 - 26*i**4*r + 6*i**2*r + 5784*r**2 wrt i.\nAnswer: -9576*i*r**2 - 624*i*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 + 3*n. Let v be s(3). Let h = 10 - v. Is h smaller than 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60 and 207274220.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1180 a factor of 8852360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 676\/(-8)*(-41)\/(-246)*12\/(-52)*8?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-10 - (20 + -15 - 32)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -194*d + 4254 = -191*d + 3*q, 5744 = 4*d - 5*q. Calculate the remainder when d is divided by 708.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12122112201 (base 3) to base 5\nAnswer: -12024310","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -4*a + 10. Suppose -n = -a*n - 16. Which is greater: n or -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 250 and 201340?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 469567 a multiple of 154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1327370\/(-224885) + 0 + -1 + 7.\nAnswer: 4\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32 + 18. Let t = -11 - v. Suppose -98 = -t*g + 10. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 19*o**2 + 148*o + 2712. List the prime factors of d(-23).\nAnswer: 7, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7789 is divided by 460.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 141 = -3*f. Let m = f + 86. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*m**2 - 11*m**2 - 5*m**2 + (-4 + 1 + 4)*(2*m**2 + 0*m**2 + 0*m**2)*(-16 - 15 + 13) in the form u + q*m**2 + l*m and give q.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 11:01 AM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 109106*k*n**3 + 9*k*n**2 - 271*k*n - k + 4*n**3 + 8*n**2 + 731*n - 7 wrt n?\nAnswer: 654636*k*n + 18*k + 24*n + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -59*i + 64. Calculate the lowest common multiple of u(1) and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -210 (base 7) to base 15\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 43.99999776 - 44. Round u to 7 decimal places.\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8886751?\nAnswer: 1787, 4973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 8) + -13 + 24.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + 16*j**2 - 41*j - 9. Let g be x(-18). Calculate the greatest common factor of 57 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -v**5\/6 - 14215*v**4\/6 - 11220322*v**3\/3 + 11227430*v**2\/3 = 0.\nAnswer: -12406, -1810, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 47693440 to the nearest integer?\nAnswer: 6906","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -57 - -64. Calculate the remainder when 29 is divided by o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -4373*h. Let l(m) = -113*m - 1. What is f(l(a))?\nAnswer: 494149*a + 4373","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**2\/4 - 39*k\/4 - 135\/2 = 0. What is k?\nAnswer: -30, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-1\/41)*y)\/y)**(2\/3)*(y**(2\/23))**26 assuming y is positive.\nAnswer: y**(2776\/943)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27 + 31. Suppose -2*a - 144 = t*a. Is -24 less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 40\/12*1\/((-20)\/(-72)). Let r(q) = 11*q**3 - 3*q**2 + q + 3. Let z be r(1). Calculate the greatest common factor of o and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7520\/(-30) - 2\/6. Let h = 250 + z. Is -1\/3 != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 0*t - 4 = t, -5*t - 10 = 0. What is the least common multiple of 6 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 6 + 1 + (8 - 7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 12\/5)\/(30\/(-75))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80.98 rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 905953104 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (465\/(-5) + -6)\/(60\/440*-11)?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 540 and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1259 divide 4310816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -3*y - 26, -s = -y + s + 6. What is the nearest to 1 in 0, 1\/5, y, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -21. Calculate the highest common factor of y and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6554 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -7\/4 (b) 2\/45 (c) -1\/15 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (30\/20)\/((-2)\/(-24)). Suppose -g = -13*v + 12*v. What is the third derivative of d**5 - 6*d**5 - 8*d**5 + 3*d**5 - v*d**2 wrt d?\nAnswer: -600*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 523271?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 1:07 AM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -3*g + 2. Suppose -4*t = t. Suppose -4*l + 22499980 = 5*f, 5*f + g*l = -t*f + 22499975. Round f to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**3 - c**2 + c**2)*(12 - 2 + 2) + (2*c**2 - 2*c + 2*c)*(-1 + 1 - 5*c) + (9*c + 9 - 9)*(-1 - c**2 + 1).\nAnswer: -31*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 2*w = 59, -6*w + 5*w - 97 = -4*o. Let r(b) = -17 - b + 55 - 15 - o. Let c(v) = 194*v. Give c(r(h)).\nAnswer: -194*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1910 >= -1910?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1947)\/110 - 105\/350?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -457 (base 8) in base 13?\nAnswer: -1a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 2\/1185?\nAnswer: 2\/1185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*w**4 - 17180*w**3 + 3*w**2 + 227990695*w?\nAnswer: 24*w**2 - 103080*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 w when four letters picked without replacement from {q: 2, w: 18}?\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-29)\/(-29) + 0 + 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -20*s + 2149. Let u(g) = -77*g + 8597. Give 23*o(k) - 6*u(k).\nAnswer: 2*k - 2155","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-10) - 42\/(-30). Let b = 14 + -16. Let s be 6\/b - 24\/(-7). Is i <= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*j - 4073 + 1483 = 0. Let b = -1.5 + 1.3. Are j and b non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 380490185 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/2*(-10)\/30?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 23*c**2 - 125*c - 16. What is x(6)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 38*v + 178 wrt v.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 65 = 85. Put -54, -3, u in descending order.\nAnswer: -3, u, -54","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -4*f - 31. Let p be m(-9). Let w = 19 - 9. Let i = w - p. Solve -5 = -q + 5*a + i, 0 = -2*q + 5*a + 10 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19593\/(-311)*4\/(-14)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence faf when three letters picked without replacement from {y: 3, n: 1, a: 5, f: 2, r: 1}.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -26 * 562\nAnswer: -14612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 18138382 to the power of 1\/2, to the nearest integer?\nAnswer: 4259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 66, 47, 4, -75, -202, -389, -648?\nAnswer: -991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + 0*d + 4*d**2)*(-30*d + 27*d + 2 + 11).\nAnswer: -12*d**3 + 52*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of d**4\/30 - 13*d**3\/5 + 38*d**2\/5 + 152*d - 1. Determine l, given that o(l) = 0.\nAnswer: 1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffff. What is prob of sequence ff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, y: 2, n: 1, c: 2}. What is prob of sequence ncu?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = t + 54*l - 53*l + 1, 0 = -4*t - 2*l for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 6:43 AM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24 + 39. Solve 0 = 2*u - 5 + c for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14280928 to the nearest integer?\nAnswer: 3779","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jmmjjmmmmjmjmmqmjm. What is prob of sequence mm?\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -222.03622 - -223.3172883. Let s = 1.281 - l. Round s to 5 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**3\/9 - 24*o**2 - 648*o = 0. What is o?\nAnswer: -54, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6198519 divided by -2066173?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + -215?\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.26 - -0.74. What is the biggest value in w, -0.3, -7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -4 + (1 - -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/4*(4 + 0). Let r(t) = -t**2 + 2. Let a(d) = -3*d**2 + 5. Let m(s) = z*a(s) - 5*r(s). Let n(u) = 3*u. Give m(n(v)).\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 28.048 in -2\/5, -5, 0.1, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**1*j)**(-3\/4)*j**(3\/5)\/((j**(1\/5)*j)\/j)*((j**(-1))**(-15))**(-1\/62) assuming j is positive.\nAnswer: j**(-1297\/620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7080750 and 2596275?\nAnswer: 77888250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -64\/9 and 37\/99748764.\nAnswer: 99748764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, f: 5, w: 1, o: 3, v: 4}. What is prob of sequence owf?\nAnswer: 5\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 60 by 13907.\nAnswer: 60\/13907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + -320a?\nAnswer: -320b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3668 and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8033 is divided by 268.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of -u**7\/420 + u**6\/45 - u**5\/12 + u**4\/6 + u**3\/3 - 3*u**2. Let a(n) be the first derivative of d(n). Factor a(t).\nAnswer: -2*(t - 2)*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 418661 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 24450*p**3*x**2 - 324916*p**3 - 15*p**2 + 3*x**3 + 19*x**2 - 2 wrt x?\nAnswer: 48900*p**3*x + 9*x**2 + 38*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 97 - 70 = -5*r, 3*j = -r - 19 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 19. What is the remainder when 386 is divided by b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z = -26*z - 33*z - 455 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1.4652, 2\/5 in ascending order.\nAnswer: -5, 2\/5, 1.4652","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**2\/3 + 120*y + 2700.\nAnswer: 4*(y + 45)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -97 + 96.5. Which is the biggest value? (a) j (b) 0.1 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {d: 3, e: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1230.57 - -1231. Which is the nearest to 0.1? (a) -0.2 (b) -1\/6 (c) m (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c\/(c*c**2*c))\/c*c\/c**5)\/(c**(2\/3)\/c*c*c\/((c*c**1*c)\/c)*c) assuming c is positive.\nAnswer: c**(-23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178*x = -2694 + 736 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 2*o**2 + 3*o - 3*o + (-23*o - 7 + 7)*(-17*o + 11*o - 13*o) to the form q*o**2 + i + l*o and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 96*t = 94*t + 11, -2*t - 7 = i for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 + -18. Let c = -248 + 251. What is the closest to -1\/4 in c, -1\/3, z?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 4*b - 2. Let n be f(8). Let j = 4 + -3. Let p be (33\/(-22))\/(j\/(-4)). Calculate the greatest common factor of p and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -73 + 65. Let z(s) = -5*s + 5. Let t(d) = -7*d + 8. Give i*z(m) + 5*t(m).\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 12:21 PM?\nAnswer: 12:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136) + sqrt(136)*-3)\/sqrt(8)*6.\nAnswer: -12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.268 + 0.218. Let z = 6 + f. Let s = 0.05 + z. Which is the third smallest value? (a) -1\/3 (b) -2\/7 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28579 and 27.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.921449 and 0.4.\nAnswer: 1.321449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7765?\nAnswer: 5, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/((-32)\/(-6)) + 2249\/1300. Which is bigger: 2 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*n**2 + 71*n + 8217 - 3982 - 4233.\nAnswer: 5*n**2 + 71*n + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 10, -m = -4*p + 2*p + 15. Calculate the smallest common multiple of p and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 89, 103, 143, 209, 301, 419?\nAnswer: 563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of 4*b**7\/105 + 4*b**3 + 16*b**2. Find the first derivative of u(g) wrt g.\nAnswer: 32*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -108 by -27.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 + f - 3. Let p(s) = -s + 17. Let h(b) = -o(b) - p(b). Let n(y) = 27*y. Calculate n(h(a)).\nAnswer: -27*a**2 - 378","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*-1*sqrt(209) - sqrt(209))\/(-5*sqrt(176)))**2.\nAnswer: 171\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand p - 2*p**2 - p + (-11 + 11 - 5*p**2)*(0 + 1 + 1) + p**2 + 0*p**2 - 2*p**2.\nAnswer: -13*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -79.182 to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -1 - l**3 - 5*l**2 + 22*l - 22*l + 6. Let d be c(-5). Suppose -d*n + 16 = -219. List the prime factors of n.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 489 = -2*m + 477, 3*g - m = 8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of -1\/24*j**4 + 31\/2*j**2 + 0*j - 2 - 5\/3*j**3. Let q(b) be the second derivative of i(b). What is q(-9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2, -13, -34, -55, -70, -73?\n\"Answer: c**3 - 9*c**2 + 5*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53, 16, -115, -388, -851, -1552?\nAnswer: -2539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 173891 by 40.\nAnswer: 173891\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*h**2 + 3 - 3)*(2 - h - 2) + h**3 - 5*h**3 + 3*h**3)*(11*h**2 + 54*h - 54*h).\nAnswer: -33*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1388, -2768, -4148, -5528, -6908, -8288?\n\"Answer: -1380*o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 769b - 35b?\nAnswer: 7340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35360 divided by 5.\nAnswer: -7072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-14)\/(-3)*(-54)\/(-21). Suppose 28 + k = 2*t. Suppose -2*q = -3*u - 2, 5*q + 1 - 48 = -3*u. Calculate the remainder when t is divided by q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 563 is divided by 47?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x - 1. Let s be q(5). Suppose -11*d = -s*d + 4. Let g be (d\/5)\/(12\/(-60)). Solve -4 = g*l + 2*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 16*g + 30 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of 2*d**5\/5 - 3*d**3\/2 - 8*d. What is the second derivative of f(m) wrt m?\nAnswer: 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-3)\/4)\/(-3))\/((4\/(-96))\/(197\/6501))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 49255 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 34, 60, 94, 136?\n\"Answer: 4*t**2 + 14*t + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4621 greater than or equal to 73772?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**3\/8 + 351*d**2\/4 - 13689*d\/2 + 177957.\nAnswer: -3*(d - 78)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*k = 3*k - 130 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2213 + 15492\/7. Let t = -1 - -1. What is the third smallest value in 10, t, z?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -743*r - 28 = -736*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 PM and 10:57 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.76 + -7. Let q = 1\/103 - 42130\/309. Let n = q - -136. What is the nearest to p in -4\/3, -2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29189 divided by -40?\nAnswer: -29189\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 2 - (-4 + 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 518*k**3 - 527*k**3 - 10*k + 19*k - 3*k - 6*k.\nAnswer: -9*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 7*v**2 + 5*v + 5. Let y(j) = -68*j**2 - 47*j - 49. Let l(c) = -c**2 - c. Let x(u) = -2*l(u) - y(u). Give -49*k(g) + 5*x(g).\nAnswer: 7*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fva when three letters picked without replacement from {v: 2, z: 9, a: 8, f: 1}.\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1411 and 3071.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 967577?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 - 6*q + 4. Let v be u(-6). Suppose -v*h = -2*h. Suppose -3*r + h*s = -5*s - 90, 3*r - 111 = -2*s. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-176)\/66*(-21)\/2. Suppose -i*j = -17*j - 52030. Round j to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, 1\/4, 0.59, -3\/2, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-126)\/9)\/((-1232)\/(-1144)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/2 or 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-51)\/(-51)*4*-1. Let w(a) = 8*a + 1. Calculate w(u).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -155 (b) -0.11 (c) -0.05 (d) -7\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -50 + 50. Let k be -2 + 1 - (-18)\/14. Let f = -533\/1211 + 2\/173. Which is the closest to 0? (a) v (b) f (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -343, -681, -1021, -1363, -1707, -2053, -2401?\n\"Answer: -b**2 - 335*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-5)\/124)*((-2145)\/1144)\/(9\/12)\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j**(4\/5))\/(j*j*j*(j*j\/(j**0\/j)*j)\/j) assuming j is positive.\nAnswer: j**(-16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5\/(-2) + 1)*-2. Let m = 441 - 441. Suppose 2*q - 8 = 0, 2*k + q - 5*q + 14 = m. Sort -5, h, -1, k in ascending order.\nAnswer: -5, -1, k, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-329)\/49 - -7)*(-18)\/(-108).\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 - 16*g + 21. What is k(12)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + 6*b**2 - 4*b - 5. Let s = -63 - -57. Is w(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5 + -2 + -1*3. Suppose z = -6*k + 37 - 13. Find the first derivative of 0 - k*s**3 - 5 + s**3 - 2*s**3 wrt s.\nAnswer: -15*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 4 + (-4 - 11).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1114 is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of -2*f**5\/5 - f**4\/6 - 5*f. Find the third derivative of y(p) wrt p.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12826 and 43672?\nAnswer: 5284312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2264935.2ns in minutes?\nAnswer: 0.00003774892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 557046092?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + 10. Suppose i + z = -i - 5*s, -5*i + 5*s = -30. Is i equal to -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -3037.\nAnswer: 303.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 0*i - 1 - i + 1. Let f(v) = v + 15*v + 9*v + 18*v. Determine f(c(b)).\nAnswer: -43*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n - 15. Give u(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -1. Let z(f) = 2*f + 16. Let h(g) = 44*a(g) + 2*z(g). Let v be h(-3). Let m = 1 - 25. Is m greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 AM and 11:46 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of m**4\/6 - m**3\/3 - 11*m**2. Let n be j(5). Let l = n + -9. Solve -3 = -4*z + l for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0*2*(-1)\/(-4). Let b be 1*s*3\/(-6). Suppose 0 = 3*v + w - 40, b = 3*v - 6*v - 2*w + 35. Is v a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/53 in -2\/9, 1, 0, -0.5, 0.002?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of -23*b**4\/12 + 1699*b. Let q(s) = -41*s. Determine q(a(j)).\nAnswer: 943*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 67 = 8. Suppose -y = -9 - l. Let r = 38 - y. Does 5 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/624 and 115\/2028?\nAnswer: 8112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**3 - 30*z**2 - z + 35. Let n be m(15). Find the first derivative of -14 + b**2 + n*b**2 - 2*b + 135 + 6*b**2 wrt b.\nAnswer: 54*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -302219 by 3.\nAnswer: -302219\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/9 of a week in minutes?\nAnswer: 24640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 355131556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23968?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -699 divided by 5?\nAnswer: -699\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6775, -8627, -10481, -12337, -14195, -16055?\nAnswer: -17917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -819807*x = -819727*x - 3120 for x.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 + n + 7. Let r(j) = j**2. Let o(v) = m(v) - 2*r(v). Let h be o(-3). Let x be -2 - (9 + -1)\/(-2). Sort h, -3, x in descending order.\nAnswer: x, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35 + 36. Is 67\/p + (6 - (-4 - -8)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 PM and 6:39 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 542 - 1344. Let m = -287 - o. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((((sqrt(117) - (1 + sqrt(117))) + sqrt(117))**2 - sqrt(117))*3 - (-2 + (sqrt(468) + 1)**2)).\nAnswer: -39*sqrt(13) - 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -9*z + 11. Let u(g) = -5*g + 6. Let d(k) = 11*u(k) - 6*x(k). Let t(n) = -30*n. Give t(d(f)).\nAnswer: 30*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 AM and 4:37 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/16 - (-3 + (-25)\/(-8))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5\/16, -4, 2, 0.022?\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 - (4 + (-4 - 11232)). Let t = k - 15180257\/1352. Let r = t + 8123\/14872. Which is bigger: -2\/7 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 528494225 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of q**3\/3 - 21*q**2\/2 + 10*q - 21. Is 28 a factor of c(23)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 25214849?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 29917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 9) in base 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 - -22. Let a(y) = -y**2 + 11*y - 8. List the prime factors of a(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3504.5 - -3506.5. What is the nearest to 1\/131 in 3, -2\/3, 0, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 c when two letters picked without replacement from {c: 1, x: 2, b: 2, y: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 6*y - 8. Let s = -27 - -31. Let w be (-2)\/6*s\/18. Is y greater than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -2*v - i - 38, -5*v - 9*i - 5 = 2*i - 15 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 81*j**2*m**2 + 11*j**2*m - 13*j*m**3 + 242936*m**3 wrt j?\nAnswer: 162*j*m**2 + 22*j*m - 13*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**3\/5 + 22*q**2 + 18850*q - 1976350 = 0.\nAnswer: -235, 145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 2:36 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i + 28. Suppose 5 = -3*r + 119. Calculate the remainder when r is divided by m(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 + 4*u**2 + 13*u - 55. Is m(-18) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -6. Let b be m*((-42)\/8)\/(-3). Solve -b*l - 16 = -3*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 233 + 4 + -4 + -3.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/((-6 + 4\/((-168)\/(-250)))*1). What is the greatest common factor of 259 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05 + 3920345.\nAnswer: 3920345.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1445, 7, -5, -18 in decreasing order.\nAnswer: 7, 1, -5, -18, -1445","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 5) in base 7?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9144770113 + 108310657087109\/11844. Let r = -2\/2961 + j. What is the common denominator of r and (-362)\/(-36) + (-4)\/2?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 9*v = 0. Suppose 2*k - 5*f = -2*k - 5, 3*k + 3*f = 3. Let i be (k - v) + (-10)\/(-35). Which is smaller: 1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 14) to base 6\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-4))\/((-3)\/16).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1083 (base 15) in base 10?\nAnswer: -3498","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n - 3. Let l be x(-5). Let f(h) = h - 9*h - 15 - h**l - 5*h. Calculate f(-11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i**2 + 1. Let t = 16 - 10. Suppose -k = -t - 3. Let n(b) = -b**3 + 8*b**2 + 9*b - 2. Let y be n(k). Determine v(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1694990 divided by -8921?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 7961*c - 23892. Give b(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*q**4 + 0*q**4 - 27*q**4 + (4*q + 6*q - 5*q)*(4*q**3 + q**3 - 7*q**3) to the form p*q + t*q**4 + f*q**2 + i*q**3 + x and give t.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, f: 4, k: 3, j: 5, s: 1, l: 3}. What is prob of sequence lfsk?\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1391535371 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3\/4, 5, 38, 1\/4, 0.027?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -321 - -326. Solve j - 9 = -p for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 3 - 5. Let b = 4161\/170 - 462\/17. What is the common denominator of b and 2 - (u + (-14)\/(-12))?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7389*-0.32.\nAnswer: -2364.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/40 of a meter?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 k when two letters picked without replacement from {q: 1, n: 1, y: 1, k: 1, b: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 8:48 PM?\nAnswer: 3:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**4 + l**4 - l**4 + (-4*l**4 + 5*l**4 + 3*l**4)*(-3 - 14 + 3) + (0*l - 2*l**4 + 0*l)*(-3 + 6 + 3).\nAnswer: -67*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(512)\/sqrt(4).\nAnswer: 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = 4*j + 2*q + 10, 0 = -2*j - 0*q - 2*q - 8 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -7*m**2. Let z(g) = 17*g. What is x(z(q))?\nAnswer: -2023*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4 and 844840452.\nAnswer: 844840456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 + 32*h**2 + 26*h - 28. Determine c(-31).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of h**7\/210 + 7*h**4\/24 + h**2. Find the second derivative of q(u) wrt u.\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -1446\nAnswer: 1\/723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 3*y = -2 - 13, -2*x = -y + 9 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 251*a - 780157*a**2 + 4*a**3 + 780157*a**2 - 3*a**3.\nAnswer: a**3 + 251*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/8 or -0.04?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1257 - -1259. Which is the closest to s? (a) -2\/21 (b) 2 (c) 0 (d) 0.37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -54161 or -595775\/11?\nAnswer: -54161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 781536 or 59?\nAnswer: 781536","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2021614 to the nearest integer?\nAnswer: 1422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 12*h + 6*h = 0. Let a be -3 - (h + (-3 - 0)). Solve a = -3*v + 2*m - 11, m + 7 = -v - 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8957 + -8940. Suppose 5*p + 72 = 3*i + 6, 3*p = 3*i - 60. What is the greatest common divisor of m and i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 3*t = -2*g - 18, 15962*t - 15969*t = g + 24 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -269, -272, -273, -272, -269, -264, -257?\n\"Answer: x**2 - 6*x - 264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.05 - -0.08. Let o = g - 0.33. Let m = 175 - 1226\/7. Which is the nearest to 1? (a) -4 (b) o (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = w + 13, s = -3*w + 4*s - 9. Suppose 0*y = -2*y - 2. Is -2*36*y\/w a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-21)\/9)\/((-3)\/459). Let r = s + -155. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of d**5\/10 + 32*d**4\/3 - 199*d**3\/3 + 134*d**2 - 944*d. Factor v(j).\nAnswer: 2*(j - 2)*(j - 1)*(j + 67)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 18*d + 150 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 11 - 14 + 12 - 13*v - v**2. Let z be p(-14). Let d = -100 + 397\/4. Put d, 0.3, z in descending order.\nAnswer: 0.3, d, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.086 and -15551.4.\nAnswer: -15551.314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 13) to base 3.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sbsssbss. What is prob of sequence bs?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.1 and 1\/128 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 230\/(-69) - 1\/(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1622 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 75 = 0, 4849*j = 4844*j + 4*x - 35 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 155 + 290 = 2*z, 2*o + 2 = 0. Is 16 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q\/(q\/(q**(-8)\/q*q))*q*q*q*q**7)\/(q*q**(-10)*q*(q\/q**(-3))\/q) assuming q is positive.\nAnswer: q**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1101752.3596781 - -1101752. Let c = 0.3599 + k. What is c rounded to 5 decimal places?\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/19780 and -103\/202014?\nAnswer: 46463220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 - 16*c - 129. Give l(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + (0 - -26)\/(16\/(-88)). What are the prime factors of ((-4470)\/4)\/3*p\/175?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1110? (a) 10 (b) 4 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5252, -11049, -16838, -22619, -28392, -34157, -39914?\n\"Answer: 4*c**2 - 5809*c + 553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 - 32. Let j = 169 - q. Suppose 2*b = 2*i - j + 52, 5*i - b - 315 = 0. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*v**2*y**2 + 2*v**2 + 23*v*y - 3*y**2 wrt v?\nAnswer: -20*y**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50665 is divided by 186.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/2*90\/(-120).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 505380, 1010218, 1515056, 2019894, 2524732, 3029570?\nAnswer: 3534408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2241 + 2312304?\nAnswer: 2314545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 918584197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 537726731?\nAnswer: 163, 173, 19069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2369575 - 98683382.\nAnswer: -101052957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*w**2 + 7*w**2 + w**2)*(-w**2 + 0*w**2 - 2*w**2) + 2*w**4 - w + w + 21*w**4 + 8*w**4 - 54*w**4)*(7 - 1 - 3).\nAnswer: -114*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24072 - -24054. Sort a, 3, -2, 13 in descending order.\nAnswer: 13, 3, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158089786 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: Convert 564.4951 days to nanoseconds.\nAnswer: 48772376640000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 1 + -1 - (175 - 183)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/((-6)\/(2 - -1)). Suppose n = -5*w + t - 0*t + 98, 4*w = 5*t + 91. Let y = 956 - 919. Calculate the remainder when y is divided by w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29 + 15. Suppose 52 = -2*i - 2*i. Let p = i - q. Let z(w) = -2*w**3 - 2*w**2 + 2*w - 1. Determine z(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 41 - 439*o**3 - 26 - 15 + 110*o**3 - 292*o - 2*o**2 wrt o.\nAnswer: -1974*o - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y = -9*y - n + 1, 0 = 2*y - 5*n - 23. Suppose 3*i = -3, i - 2 = -y*g + 1. Which is the fourth smallest value? (a) -1\/2 (b) 5 (c) g (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -30, 1, -2\/21, 6, -0.535?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -318 or -282?\nAnswer: -318","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (2*sqrt(1331) - sqrt(11)) + 3 + -2.\nAnswer: -2 + 21*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 128706?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 77\/5 of a litre?\nAnswer: 15400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/8450*(-689)\/106?\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - (-14 - 13)) + (-511 - -597).\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15\/4 + 5\/4*w**2 + 5\/2*w.\nAnswer: 5*(w - 1)*(w + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -n - 2*y + 19, 5*y - 7 = 2*n + 10 - 28 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 5*o = 4*o + 100, 0 = -2*m + 3*o + 23. Solve 0*l + 57 = m*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*d**5 - 4782*d**4 + 1805430*d**3 + 81663828*d**2 - 641090913*d + 941159490 = 0. Calculate d.\nAnswer: -47, 2, 5, 817","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-5) - (-19)\/95. Suppose 2*i - 3 = m + 7*i, -4*m - 3*i - 12 = g. Let v(t) = -t**3 - 2*t**2 + t - 3. Let o be v(m). Is 5 less than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 31 - (6 - 11492\/(-572)). Let 2\/11*y**3 - 20\/11*y**2 + n*y - 36\/11 = 0. What is y?\nAnswer: 1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -49*j. Let c(v) = 4*v. Let t = -233 + 230. Calculate t*a(q) - 35*c(q).\nAnswer: 7*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert a51c54 (base 14) to base 4.\nAnswer: 111101031002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 15 = 5*t, 4*t - 29 = -4*a - 41. What is the least common multiple of 114 and t?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -10*a + 13. Let j(l) be the first derivative of -l**2\/2 - 5. Let k(f) = 5*f - 9. Let g(p) = 2*j(p) - k(p). Give -7*g(n) + 5*t(n).\nAnswer: -n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -2*u**3 - 480878*u**2 - 279362910*u - 40622661234 = 0.\nAnswer: -239857, -291","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0\/(-1))\/(-2 + 4). Let u(a) be the third derivative of 1\/24*a**4 + y*a**3 + 0 + 2*a**2 + 0*a. Let v(j) = -3*j**2. Determine u(v(l)).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 0. Let r = -778 + 775. What is the second smallest value in y, r, 4\/3, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11.06 + -0.06. Let j = 2.6 + 5.4. Let i = j - h. Sort 8, -1, i.\nAnswer: i, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 + 138*t**3 - 112\/3*t - 434\/3*t**4 + 98\/3*t**5 + 58\/3*t**2 = 0.\nAnswer: -2\/7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 take away -684?\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c + 12*c - 21 = 0. Suppose 4*r = 5*m + 26, -13 = 2*m - 4*r + c. Let w be (0 + 2 + m)\/(-1). Solve -f = -w + 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -0.8 (c) -2.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11670 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -138*g**2. Let u(w) = 99*w. Give f(u(n)).\nAnswer: -1352538*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -8957 (base 10) to base 7\nAnswer: -35054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 0.9 (c) -2 (d) 17 (e) 10\/7 (f) 40\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2041*n - 129031 = -3611 + 84803 for n.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.22552 + -95.22962. Let k = 95 + m. Round k to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 741226 to the nearest integer?\nAnswer: 861","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 1. Let p = 131 + -61. Suppose -6*q + p = 22. Which is the fourth biggest value? (a) z (b) q (c) 0.2 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.113 + 9183.6510524?\nAnswer: 9183.5380524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = 7*k - 8*k + 2, -4*k - 5*n = -8 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 509 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7283400 - -218482429\/30. Let x be (-8 - -1)*(-284)\/(-3). Let q = x - u. Calculate the common denominator of 101\/16 and q.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ot when two letters picked without replacement from {b: 10, o: 1, t: 7}.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 4*h + 9 = h, 2*n + 9 = -3*h for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 4*u = p - 24, -32 = -5*p + 2*u. Let n = p - 6. Suppose n*j = -2 + 6. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 - -19. Let j(o) = o**3 + 11*o**2 + 4*o - 11. Let f be j(-11). Let q = -54 - f. What is the least common multiple of z and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1909049 (base 10) to base 7\nAnswer: -22140512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 262 = -236. Let k = -82 + c. Which is greater: 2\/109 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1518\/77 + -20)\/(2\/28). What is the smallest value in y, -1.2, -2, -0.1, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7\/2? (a) -4\/9 (b) -1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -203\/544050 and -64\/19251.\nAnswer: 12513150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 80213 or 4251254\/53?\nAnswer: 4251254\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -8*n**4 + 38*n**3 + 96*n**2 + 22*n - 16. Let g(l) = -7*l**4 + 39*l**3 + 97*l**2 + 21*l - 16. Let j(u) = -6*g(u) + 7*p(u). Let j(t) = 0. What is t?\nAnswer: -1, 2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w - 10*w - 6*w)*(w - 2 + 2) + 2*w**2 + 3 - 3.\nAnswer: -17*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3 - -1. Let l = n + -0.7. Which is smaller: l or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -152 - -60. Let q = n + 91.9999959. Round q to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8816884 is divided by 701?\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4929.\nAnswer: 3, 31, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -11*j. Let i(n) be the second derivative of -11*n**4\/12 + 30*n - 12. What is i(d(h))?\nAnswer: -1331*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2799.48l?\nAnswer: 2799480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*u = -102*u - 6 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -328, -332, -334, -334?\nAnswer: -332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 3*t**3 + 20*t**2 + 8*t - 577. Let b(u) = -4*u**3 - 32*u**2 - 13*u + 865. What is -5*b(n) - 8*x(n)?\nAnswer: -4*n**3 + n + 291","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -7*1837\/(-77) + -10. Are 160 and t nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -185850 by -12390.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 61 + -70.1. Let n = -0.098 - 8.602. Let g = t - n. What is the closest to 1 in 3, g, -7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 77*f + 4. Let v be a(10). What is the hundreds digit of ((-11)\/3 + 3)*v\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 895229, 1790578, 2685925, 3581270?\n\"Answer: -l**2 + 895352*l - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a - 6479 = -2*a. Let b be (-55)\/(-19) - (-62)\/a. Solve -b = 2*f - 9 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 170*w + 8. Is 16 a factor of n(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 835 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(3 + sqrt(675))**2.\nAnswer: 450*sqrt(3) + 3420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (-6)\/12 - ((89 - 57) + -21).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 12:26 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -1\/380754 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/5 - 83149*j\/5 - 332516.\nAnswer: -(j + 20)*(j + 83129)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/2)*f**(1\/2))**(-4\/31)\/(f*f*f*f**(2\/9)*f**7)**(1\/51) assuming f is positive.\nAnswer: f**(-92\/459)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -2\/7*r + 0 - 6\/7*r**2 - 4\/7*r**3 = 0?\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -131030?\nAnswer: 131013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -44\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100000 (base 2) to base 13.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 356 by 6.\nAnswer: 178\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*a - 2 + 2)*(-7 + 7 + 18*a**3) - a**4 + 3*a**2 - 3*a**2.\nAnswer: 143*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3540.1869 - 3540. Let d = f + 0.0261. What is d rounded to two decimal places?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*p = -30*p + 2. Sort -16, p, 1 in decreasing order.\nAnswer: 1, p, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 40*y + 9. Let n(b) = 832*b + 0 - 822*b + 2. Calculate -4*k(m) + 18*n(m).\nAnswer: 20*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -56, -0.0102, -1, -59.\nAnswer: -59, -56, -1, -0.0102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z + 15 = 4*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 840 divided by 168\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1014, 1688, 2350, 2994, 3614?\n\"Answer: -v**3 + 681*v + 334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -137*t - 48. Let d(s) = 689*s + 239. Let r(u) = -2*d(u) - 11*i(u). List the prime factors of r(3).\nAnswer: 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**3 + 41651418538*g - 41651418538*g.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 3*n = -5*g + 973, 0 = -g + n + 197. Suppose 0 = g*u - 197*u + 368. What is the greatest common factor of 230 and u?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 PM and 1:07 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4071445 - -35032.\nAnswer: -4036413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 - (-37)\/((-111)\/72).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 65*l**4 - 848*l?\nAnswer: 780*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 297 divided by 27\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 3*x**4 + 231*x**3 + 3687*x**2 + 15429*x + 11970 = 0.\nAnswer: -57, -14, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-2) + 9\/6. Suppose -3*c - 4*p + 0 = -16, 3*p = x*c - 5. Put c, 2, 1 in decreasing order.\nAnswer: c, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 2*g + 235 = 0, 3*u - 55 - 86 = -4*g. Suppose 4*i + u = 5*f, -5*i - 3 = -f - 2. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -704830, -1409660, -2114490, -2819320, -3524150, -4228980?\nAnswer: -4933810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - 5*m + 11. Let c be o(5). Solve 4*f + c = 2*n + 5, f + n - 6 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 47*l**4 - 4*l**3 + 114*l**2 - 2?\nAnswer: 1128*l - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 541, 1100, 2559, 5350, 9905, 16656, 26035, 38474?\nAnswer: 54405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u + 18. Let o be z(8). Let n be (o - 1)\/((-8)\/(-48)). Suppose -n*t + 4 = -32. Solve -16 + t = 5*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*n - 3*n - n)*(4 - 2*n - 4) + (6*n - n - 3*n)*(0*n + n + 4*n) + 4*n - 4*n + n**2 to c*n**2 + t + p*n and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147*m = -167*m + 14720. What is the highest common factor of 16 and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -32221?\nAnswer: 32217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1278)\/54 - -24)*75\/110?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2198 + 2198 + 241*v + (1 + 13 - 3)*(4*v - v - 2*v) in the form n + l*v and give l.\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from huhihhuhsihsshh. What is prob of sequence uhui?\nAnswer: 4\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -156840, 0.5, -6\/7, 2?\nAnswer: -156840","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -6*n + 2*n + 3*i, i - 4 = -5*n. What is the highest common factor of 1 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -98 + -27 + -58 + 128\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 3*g**2 + g + 3. Calculate the remainder when 57 is divided by f(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 4*n - 10835, y + 2*n - 5*n - 10856 = 0. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 300109194?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1108260?\nAnswer: 2, 3, 5, 47, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2220 + 2242 + 3*z - 4444 + 2*z**3 - 3*z**2 to o + y*z**3 + k*z**2 + f*z and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 3, -9 in decreasing order.\nAnswer: 15, 3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -199, 1, -1 in ascending order.\nAnswer: -199, -5, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 3*y - 0 - 11, y + 4*k = -15. Let l = 6 + y. Calculate the remainder when 20 is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from ssssrrrrssrssrrsrsrr.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*0.012\nAnswer: -0.0036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of -o**6\/120 - o**5\/10 - o**4\/8 + o**3\/6 + o**2 - 2. Let f(p) be the second derivative of n(p). Is f(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 - 4*g**2 - 2*g + 2. What is i(-3)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - n + 6 = 3*x, -18 = -3*x - 2*n for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200)\/sqrt(8)*3)\/(sqrt(10)\/(sqrt(2) - (sqrt(2) - (sqrt(2) + sqrt(14)\/sqrt(7))))) - -3*(2 + 2 + 5*sqrt(10)\/sqrt(2))**2.\nAnswer: 126*sqrt(5) + 423","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x\/x**(1\/31)*x*x)*x*x*(x\/(x\/(x*x*x**17\/x*x)))\/x assuming x is positive.\nAnswer: x**(559\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 + 5*z + 4. Give l(-10).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 + 13 + 0 - (-3 - -11)) + -29?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0\/(-10 + 0))\/(-1). Let t be 0\/(-3*(-3)\/9). Suppose t = -y*i - i + 6. Calculate the least common multiple of i and 22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-90)\/(-24)*192\/9 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r**2 - 34*r - 137. Let g be l(-10). Which is the closest to 2? (a) 27 (b) 2\/3 (c) 1\/11 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/9, 11.3, -0.4?\nAnswer: 11.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17 in 4, 0.2, 3\/7, 52, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1471164*f + 12 = -2*k - 1471168*f, -4*k + 16 = -2*f for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 6*w**3 + 6. Let n(u) = -3*u**3 - 3. Give 6*l(f) + 13*n(f).\nAnswer: -3*f**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-102)\/(-11 + -6) + -3 + 92\/(-28)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -3*k - 18. Let i be g(-6). Solve 2*b + b = i for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -5. Let b be (-81)\/(-87) - 20\/(-290). Calculate the remainder when b + 9 + (-20)\/q is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 260*f + 174*f - 5256 + 1350 = 0 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99538 - 33180 - 33184 - 6*o**2 - 33174 + 21*o**2.\nAnswer: 15*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**2. Let t(q) = -2*q. Let i = -2 + 4. Let v(x) = 5*x - x - x - i*x. Let j(r) = -t(r) - v(r). Calculate j(d(h)).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, -20, -50, -86, -134?\nAnswer: -200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 2, -26, -6\/13, -5, -4\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of -y**3\/3 + 4100000*y + 1. Suppose 3*r + 4*x = r, 0 = 2*x. Let o be h(r). What is o rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -500066615 divided by 100013323\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -5*p**2 - 4*p - 14. Let o(y) = -9*y**2 - 8*y - 27. Let i(j) = -11*n(j) + 6*o(j). Let v be i(6). Suppose 3*k - 5*k = v. Are k and -2\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c - 2. Let l be b(5). Suppose 2*y + y = -2*v + 17, v - 4*y = l. Suppose 3*g - v*g = -60. List the prime factors of g.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/45*1*12?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10\/14091 - 7072\/6355041. Let c = k + 243101\/29766. Find the common denominator of ((-6)\/(-168)*92 - 3)*(-60)\/16 and c.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-306)\/(-42) - 2\/7. Suppose s = -4*n + 57, -3*n + 65 = 2*n - 5*s. Calculate the highest common divisor of n and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7 - (9 + -18))\/((-2)\/(-60969)). Let c(q) = 60971*q - k*q + 2 - 2. Let u(t) = 41*t + 3. Give u(c(d)).\nAnswer: 82*d + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rj when two letters picked without replacement from jjqrfjqowfq.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -19*b**3 + 3*b**2 + 2*b - 7. Is d(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 4*b + 20, 4*b = x + 7*b - 5. Suppose w - 2*w = 0. Suppose -l + 64 = x*v - 446, w = 2*v - 3*l - 204. What are the prime factors of v?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 566\/(-8) - (-8)\/(-32). Let b = -40 - d. List the prime factors of b.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**3 + f**2 + f - 2. Let s(l) = 9*l**3 - 258*l**2 + 1427*l - 2074. Let w(d) = 2*m(d) - s(d). Determine x, given that w(x) = 0.\nAnswer: 3, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 3)*(4*a - a - 4*a) - 4 - 4*a + 4.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**2 + 51*y + 4. Let j = -24 - 2. What is the remainder when 102 is divided by x(j)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, -6, -0.1, -26?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 - -35. Suppose q - 4 = 2*h. Suppose k + 5*s = 19, h*k = k + 5*s + 1. What is the highest common factor of k and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9780 and 99896180?\nAnswer: 3260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + (-2)\/(-10))\/(14\/140). Suppose -2*r = -4*p - 50, 2*r = -p - 13 - q. Let b = 19 + p. What is the greatest common factor of 1 and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l + 18. Let v be j(13). Is 7\/2*(-215)\/70*v a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**3 + 25*x**3 - 4*x**3.\nAnswer: 22*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2 - ((-2)\/(-36)*-53 - -2) and 43\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -76*81*(-68)\/(-34884).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 - 17*p - 139. Give m(23).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2\/23 - 31\/92. Let w = 640 - 640. What is the fourth smallest value in -1, 1\/8, w, n?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 4.95. Let i = 0.55 - y. Let m(r) = -r**2 - 6*r - 1. Let h be m(-6). Which is the third smallest value? (a) h (b) -2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5 + -7)\/((-4)\/752 - 0). What is the greatest common factor of 8 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 + 10*q**2 + q - 10. Let s be y(10). Sort s, 3, -1, -4.\nAnswer: -4, -1, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3202663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -202.72128 and -0.2?\nAnswer: 40.544256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 7*f**2 - 5*f + 3. Let a(n) = -15*n**2 + 11*n - 6. Give 6*a(y) + 13*h(y).\nAnswer: y**2 + y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 95226 and 2147718.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -311.14 and 1.58573?\nAnswer: 312.72573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fccn when four letters picked without replacement from {u: 1, n: 1, h: 2, f: 4, w: 1, c: 3}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4016418kg in nanograms?\nAnswer: 401641800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11059\/12 + -921. Find the common denominator of -101\/36 and w.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 277412828 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -626, -1258, -1894, -2534, -3178, -3826, -4478?\n\"Answer: -2*r**2 - 626*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-4 + -3 + 5 + -1*sqrt(176) + sqrt(176))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 154195317?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + w**2 + 2. Let x(l) = -3*l**3 - 36*l + 2. Determine -2*a(m) + x(m).\nAnswer: -m**3 - 2*m**2 - 36*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 64554 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from edeqebezezzbbdbvzee. What is prob of sequence edqb?\nAnswer: 7\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (171\/(-76))\/(-9*(-7)\/588).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 6) to base 9.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 21.67559 and -10414412.7.\nAnswer: -10414391.02441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4497 - -5371. What is the greatest common divisor of 950 and a?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 105 (b) -1.2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 18*3*9\/27. What is the greatest common factor of 72 and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 0*n = 5*n - 1091, 4*n - 3284 = -3*c. What are the prime factors of c?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -76*z + 94*z + 64*z to the form v*z + u and give v.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/2)\/((-2)\/(-4)). Let h = 5.01 + -0.01. Suppose 5*z = 4 + 1. Which is the closest to v? (a) h (b) z (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 + -20. Let c(d) = -4*d**2 + 11*d. Let a(g) = -4*g**2 + 10*g. Let y(i) = s*c(i) + 7*a(i). Factor y(h).\nAnswer: -4*h*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43678.\nAnswer: 2, 21839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (-17 - (-19 + 12)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, m: 4, i: 5, w: 6}. What is prob of sequence wjii?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -223 - 2a6c8?\nAnswer: -2a8eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -16363.2 less than 4?\nAnswer: 16367.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2\/49, 0, -11, 3, -2\/19 in descending order.\nAnswer: 3, 2\/49, 0, -2\/19, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -115 times -5701?\nAnswer: 655615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(17\/6)\/c**(-20\/9)*c**(3\/17)*c**(1\/13) assuming c is positive.\nAnswer: c**(21119\/3978)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.308 to two dps.\nAnswer: -1.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1232\/21 - (-6)\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of a**4\/18 + a**3\/3 + 2*a**2\/3 - 8*a. Solve l(c) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14862 is divided by 707?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4546*i = 4570*i + 288 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22 - -24. Let u(x) = 6*x**2 - 2*x. Let g be u(b). Does 3 divide (-24)\/g*90\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkvjffjfj. What is prob of picking 2 k?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 5*v**3 + 60*v**2 + 52*v + 7. What is i(-11)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -9 - 3. Suppose -21 = 6*b - t. Let a = b + 4. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 4022*z + 100550. Let k be a(-25). Factor k + 2\/7*q**3 + 0*q - 8\/7*q**2.\nAnswer: 2*q**2*(q - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(1 + sqrt(180)) + sqrt(180) + 1*(sqrt(180) + sqrt(180) + -1))*4 + 4)**2.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*m + 193 = -117*m + 67 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + 6*h**2 - h + 9. Let s be i(6). Let f be ((-5)\/(-15))\/(s\/(54\/(-3))). Let l(r) = -15*r**3 - 2*r**2 + 6*r + 10. What is the units digit of l(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 - ((4 - 1) + -1) - 3 - (-18 + 21)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36085961?\nAnswer: 36085961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 257711 is divided by 336?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 5*d + 1 - 271*d**3 - 6.\nAnswer: -271*d**3 - 5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-6) + (-26)\/(-6) + -3. Suppose 3*z + 3*p - p = 9, -r*p - 1 = z. Solve -3 = -o + 2*j, -z*o - 44 - 1 = 5*j for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 10\/9 (b) -0.4 (c) 0.058 (d) -14\/83\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.066? (a) 0.3 (b) 1\/3 (c) -1\/7 (d) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -114426, -2\/477?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 66506 - 0.4\nAnswer: 66505.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 93495 and 52845?\nAnswer: 1215435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 675 a factor of 1434324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/4)\/(4\/135924). Suppose 3*k - t = 14019. Suppose -9*l + 11*l = k. Round l to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36420 (base 7) in base 2?\nAnswer: -10010011111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -3*x**2 - 248*x + 1026. Calculate v(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + 11. Let j(l) = -7*l - 79. Let s be j(-12). Is 3*s\/o - -270 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(-2) - (-5 - -6). Let o = -1521 + 1516. Suppose -2*b - 2 = 3*z, -3*b + z - 5 = 9. Sort m, o, b in descending order.\nAnswer: m, b, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -201101102 + -223?\nAnswer: -201101331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -14171 - -0.5395?\nAnswer: -14170.4605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00015126316 to 5 dps.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 51 - 2?\nAnswer: 4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2692*r**3 - 33*r**5 + 2692*r**3 + (r**3 - 4*r**2 + 4*r**2)*(-5*r**2 + 4*r**2 - r**2) + (8 - 10 + 16*r**2 - 1)*(-2*r**3 - 4*r + 4*r).\nAnswer: -67*r**5 + 6*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 5*p - 9. Let z = 11 + -10. Let g(u) = -1. Let n(y) = z*q(y) - g(y). What is the derivative of n(f) wrt f?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2887 - 522549\/181. Let f = -8246511 + 8955710029\/1086. Let t = f - w. Is -1 at most t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3533227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6925, 13850, 20775, 27700, 34625?\n\"Answer: 6925*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*w**2 - 1 - w - w + 0*w)*(66 - 66 + 5*w**2) in the form d*w**2 + c*w**4 + o*w + t*w**3 + g and give t.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 385080692?\nAnswer: 2, 41, 2348053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 + 18. Let k = 17 - w. Calculate the remainder when 95 is divided by k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (124\/6355)\/(-7 - 198\/(-30)).\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2232 = 8*j - 632. Suppose -1766*u + 1764*u + j = 0. List the prime factors of u.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d - 7*d + 4*d + 3*d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 20047.\nAnswer: 20055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 0.4, 0, -11, -2\/7, -0.66 in descending order.\nAnswer: 12, 0.4, 0, -2\/7, -0.66, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + -3002220?\nAnswer: -3002203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**3\/17 + 33938*a**2\/17 - 21972*a + 611280\/17 = 0. What is a?\nAnswer: -16980, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8275*j*m**2*z**2 - 5*j*m*z**3 + 2*j*m - 8618*m**2 with respect to z.\nAnswer: 16550*j*m**2*z - 15*j*m*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 16\/20 - (-1999)\/45. Let t = w - 130\/3. What is the common denominator of t and -101\/10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 840482550 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/2 + (-73)\/(-2). Suppose -545 - 715 = -2*z. Suppose 12*n - z = 5*n. Calculate the greatest common factor of s and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -144347*b + 13 + 72429*b + 72380*b in the form n*b + s and give s.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + 4*3\/66. Let l(u) = 7*u**2 - 3*u - 2. Let b be l(4). Let d = b + -95. What is the second smallest value in d, 2\/3, g?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g**2. Let q(j) = -17975378*j**2. Determine m(q(o)).\nAnswer: -646228428485768*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of -7*k**6\/16 + 3*k**5\/8 + 27*k**4\/32 - 5*k**3\/8 - 3*k**2\/8 - 6. Find l, given that v(l) = 0.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 5*z + i, -20 = z + 4*i - 8 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 4 = -5*t - q, t + 4*q - 16 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 + 2 = 2*y. Let m(z) = 4*z + 30. Let h be m(-7). Solve s + h = 5*d, 0 = 4*s + 5*d - 0*d - y for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = 6*k - 5 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m = -3*v + 8*m - 5, 3*v + m + 1 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of -55*z**3\/3 + 7*z**2 - 1. What is the second derivative of l(n) wrt n?\nAnswer: -110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k**3 - 30 - 17*k + 2*k**3 + 17*k to the form f*k**3 + u*k**2 + t + r*k and give t.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -469908.63 to the nearest ten thousand.\nAnswer: -470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3*z = z + 28, 3*v + 4*z = 78. Is (-2)\/(-6)*3 + v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.12 * -0.1.\nAnswer: -0.612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.07 - -0.03. Let j = 0.8 + -0.6. Which is the nearest to 0? (a) -0.5 (b) z (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t**2 + 0*t**2 + 3*t**5 + (-3*t**4 + 0*t**4 + t**4)*(703*t + 575*t - 224*t) + 3*t**5 - 4*t**5 - 2*t**5.\nAnswer: -2108*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2656914 to the power of 1\/4, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*s - 2*s + s)*(-81*s - 82*s + 167*s - 24)*(-4*s + 7*s + 3*s) as n*s**2 + m*s**3 + b + d*s and give m.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/75*(2 + -1)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-26))\/(114\/1520*-10)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 PM and 2:14 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of 281*m**6\/120 + m**5\/30 - 383*m**3\/6 - m**2 + 145. What is the first derivative of k(h) wrt h?\nAnswer: 843*h**2 + 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 293792 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -10253547 - -1169.6255\nAnswer: -10252377.3745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xf when two letters picked without replacement from {z: 4, r: 4, x: 6, f: 5}?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45) + 2 + -5.\nAnswer: -3 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -133 and 239.\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 40*d**2 + 15051*d + 146533. Calculate a(-10).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of t**5\/30 + t**4\/4 + t**3\/6 - 9*t**2. Let q be o(3). Suppose 0 = -3*i + 157 - q. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20468 and 410220.\nAnswer: 48816180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 220 = -4*n. Suppose 0 = -3*u - 3, 9 = -4*t + 3*u + n. Let c = t + 2. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 493 and 306.\nAnswer: 8874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1606994 times 3\nAnswer: 4820982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*c - 450 = -0*c for c.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a**(-1))*a*a)**(-20) assuming a is positive.\nAnswer: a**(-60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -402993?\nAnswer: -402993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -3*m - 20. Give h(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10477440 and 1712?\nAnswer: 1712","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-12) + (-15)\/12. List the prime factors of -6 + 9 - 31\/i.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -5*n - 2. Let b(m) = 1 - 7 - 24*m - 2 - 3. Calculate -2*b(y) + 11*s(y).\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8046174?\nAnswer: 2, 3, 31, 181, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.04 - 0. Let g = 0.04000001 + p. Round g to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 times -0.12\nAnswer: 0.084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**2 + 7*l**2 - 5*l**2 + l**2 + 4 - 4 + (l + 1 - 1)*(-2*l + 0*l + 0*l) + 0*l**2 - 5*l**2 + 3*l**2 + 2*l - 2*l**2 - 2*l)*(-3*l + 0*l - 8*l).\nAnswer: 44*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q**2. Let k(y) = -22*y**2 - 8. Let j(b) = -44*b**2 - 20. Let g(v) = -2*j(v) + 5*k(v). What is n(g(d))?\nAnswer: -968*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-2 + 9\/(-4)*-2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -322*k - 2153. Is l(-86) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j**2 - 306*j - 28. Calculate g(0).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 - l**2 + l. Let s(p) = 3*p**3 - 9*p**2 + 7*p + 1. Let z(k) = 6*r(k) - s(k). Let a be z(1). Let n be ((-18)\/a)\/((-5)\/20). Are n and -8 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 30056 (b) -0.2 (c) -3 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -55501 - 3.\nAnswer: -55504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = z - 10, 3*z - 3*s - 18 = -0. Let x be 16\/(-30) - z\/(-6). Which is greater: 0.2 or x?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-64)\/(-6912)*0)\/(-37).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -2, -12137 in decreasing order.\nAnswer: 1, -2, -5, -12137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (884\/(-442))\/((-3)\/(1*-18))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3394366*-0.155.\nAnswer: 0.052612673","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q + 1. Let i be a(-2). Let k(y) = -2*y**3 - 4*y**2 + 1. What is the units digit of k(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3 - 0. Let f = -112482 + 112477. Which is the nearest to 1.2? (a) y (b) 0.1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1959)\/13713)\/(12\/14)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 364 divide 418699372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 9*z - 1. Give m(-4).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 478205\/18 - 26574. Find the common denominator of 139\/24 and r.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 PM and 12:31 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/293076 and -107\/32564.\nAnswer: 293076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1, 3, -139, 5\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7350 and 150?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 90830, 177960, 265090, 352220, 439350, 526480?\n\"Answer: 87130*k + 3700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111022221001000 + -1211?\nAnswer: -111022221002211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 31*o**3 + 88*o**2 + 2*o + 19. Let t(l) = -5*l**3 + 2*l**2 - 3. Determine 6*t(b) + v(b).\nAnswer: b**3 + 100*b**2 + 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1248, 2496, 3744, 4992?\n\"Answer: 1248*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 416*n**2 - 6*n - 6. Let g(x) = -x**2 - 2*x - 2. Determine 6*g(z) - 2*w(z).\nAnswer: -838*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 1 - 1 - j + 3*j - 4*j + (0*j + 0*j - j)*(-2 + 2 + 2) + 2*j + j - 5*j + j + 2 - 2 - 4*j + 4*j - j + 3 - 3 - 2*j)*(1 - 1 + 7)*(-121 + 10*j + 121).\nAnswer: -700*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 49 - -18. Is 11 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12333421?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + -3 - (-83 - 3). Suppose -w*a - 4 = -88*a. Suppose -168 - 368 = -4*c - 5*l, a*l = -8. List the prime factors of c.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*h + 869*h - 297*h + 967*h.\nAnswer: 1565*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3*p - 8 = 0. Let o = 1\/79 - -153\/395. What is the third smallest value in p, -0.5, o?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 76*a - 5 = -71*a, -2*h - 5*a - 33 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -537837 = -1608*c - 7948*c + 739*c for c.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 g when two letters picked without replacement from {s: 1, r: 1, k: 2, y: 1, f: 1, g: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 33 = -0*u. Let t = -43\/4 + u. Let j = 0.8 - 3.8. What is the biggest value in -0.2, j, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10123 - -2?\nAnswer: -10121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17044 - -17045. Which is the biggest value? (a) -4 (b) o (c) 2\/27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 64425 and 4080250?\nAnswer: 12240750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -538 rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3 - 0)\/3)\/(2\/(-82)). Let n = q - 23. Suppose n*u + 225 = 23*u. Does 5 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 261 + -55. Suppose -2*u + 200 = -h. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113054 is divided by 56522?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 11 = -z, 0 = -80*w + 79*w - 4*z - 11 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 - 15*f - 19. Let z be r(-13). Suppose z*l - 10 = 2*l. Suppose 0 = -l*a + 4*o + 140, a - 218 = -2*a - 2*o. 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: Let i(s) = -13*s - 130. Determine i(-3).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - o - 11 + 16 = 0, 2*o = -5*a + 34. Solve 7*p = a - 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**4\/8 + 13*l**3\/8 - 41*l**2\/8 - 13*l\/8 + 21\/4 = 0.\nAnswer: -1, 1, 6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7 and 189?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*3\/(-3)*5. Let n(y) = -y**3 - 1. Let r(t) = t**3 - 4*t**2 + 6*t + 9. Let s(v) = 2*n(v) + r(v). Give s(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*p**4 - 24*p**4 + 11*p**4 + 6*p**4 + 3*p**2 + 2*p**3 - 4 to v*p + k*p**3 + j*p**4 + y*p**2 + d and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 92794 and 324779?\nAnswer: 649558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 69265655 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from euusquuuuutfqsfq. What is prob of sequence ut?\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -698977102545937189.00000059 + 698977098251252423. Let n = -4294684809 - z. Let m = -43 - n. What is m rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 + 100*f**2 - 70*f + 3141. Give c(-101).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 485 - 489.6. Let r = 1.7 - -3.9. Let w = r + t. Put w, 2, 2\/3 in descending order.\nAnswer: 2, w, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 39 + 6435*d + 6437*d - 12876*d. Calculate k(12).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 359011?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(10 + -6)*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.15 in -6636, -1\/14, -2?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5422 - 9342 = 245*q for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4465231.\nAnswer: 4465231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/((-168)\/3))\/((-114)\/(-304)).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 2*u - 1926, -z + 489 = -5*u + 7*u. What is the remainder when z is divided by 126?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/5 (b) 3 (c) -1.6 (d) 98\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 6*p - 4*p + (-1 + 4 - 2)*(1 + 2*p - 1) - 2 - 5*p + 2)*(-p**2 + p**2 - 3*p**4).\nAnswer: 3*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 390209, 780406, 1170617, 1560842, 1951081?\n\"Answer: 7*w**2 + 390176*w + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 56263 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 7:59 PM?\nAnswer: 5:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 296 > -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (((-12)\/(-80))\/((-9)\/(-36)))\/((-4708)\/535)\nAnswer: -3\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -60, -0.04, 3, -1\/3, 2?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -14*s + 9*s. Let o(k) = -2*k - 7. Let w(i) = -i - 1. Let d(z) = s*o(z) + 6*w(z). Calculate d(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -268 = 5*g - 7*j - 197, -4*g + 2*j = 46 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-1*sqrt(468) - sqrt(468))**2 + -4 + sqrt(832)\/sqrt(4)*3 + 2).\nAnswer: 48*sqrt(13) + 7480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 + -9 + 922 + -8 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 5*u + 8, u - 6 = 3*v - 0*u. Suppose -1974*y - 35 = -1981*y. Suppose -5*z - 138 = -x, 0*z + 4*x + 123 = -y*z. Sort z, -3, v in ascending order.\nAnswer: z, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 410651501?\nAnswer: 13, 5081, 6217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 470*a. Let c(k) = 314*k. Let x(t) = -12*c(t) + 8*q(t). Let l(s) = 1. Let f(p) = -21*p - 18. Let i(r) = f(r) + 18*l(r). Give x(i(n)).\nAnswer: 168*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 225 and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -433, -434, -435, -436, -437?\nAnswer: -438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.57 (b) 3478 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + 111010?\nAnswer: 111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15884 is divided by 186.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-51)\/68)\/((-1)\/2))\/(-8*(-7938)\/784)?\nAnswer: 1\/54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -6. Let p = -0.02 - -0.82. Let v = -0.7 + p. Which is the closest to 0.2? (a) v (b) o (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/95 - 3\/228*8. Let a be 23\/2 - 2\/(-4). Let f be (a\/10)\/(12\/20). Solve f*p = -5*n - 17, n - p + 3 + 6 = o for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w**3 + 6*w**2 - 5*w - 10. Let z(c) = -2*c**3 + 5*c**2 - 4*c - 13. Give 4*r(q) - 5*z(q).\nAnswer: 2*q**3 - q**2 + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -258.02 and -0.5.\nAnswer: -258.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 n when two letters picked without replacement from {e: 1, a: 1, c: 3, f: 1, x: 4, n: 2}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5658 - (1 + -13 + -3). Is h greater than 5673?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, k: 1, f: 2, n: 7, p: 3}. What is prob of sequence yyny?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18 - (-6 + -31)) + (1 - 9)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2*(sqrt(475) + sqrt(475) + -2 + -4 - sqrt(475)).\nAnswer: -12 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8492164 and 446956?\nAnswer: 8492164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - 3)*2 + 6. Suppose 2*j + j + 14 = 2*c, -2*c = 3*j - 2. Let h = 1 + j. Sort 1, h, d.\nAnswer: h, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + 20 + (-5 - (-9 + 3)) + -18.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 15.7 times 1.44266\nAnswer: 22.649762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 2.2. Let s = 86.922 + 0.078. Let c = s - 86.5. What is the nearest to j in -0.1, 2, c?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/126322017 or 1?\nAnswer: -2\/126322017","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 4*k**2 + 9*k - 20. Determine a(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 24*x - 9*x + 47 + 8*x - 87 - 112 wrt x.\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -20, -40, -78, -140, -232, -360?\nAnswer: -530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 + 17*p - 16. Let m(t) = 9*t + 64. Suppose -56*r + 29*r = 243. Let y be m(r). Give x(y).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -530449 smaller than -530438?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 355*k + 19326. What is d(-49)?\nAnswer: 1931","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r - 47 - 16 + 33 - 9.\nAnswer: 4*r - 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*i + 690 = 358 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -2. Suppose 689 = 5*t - 2*u, -5*t + t - 4*u + 540 = v. Let l = -84 + t. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -823904 - 55*p + 411953 + 411951.\nAnswer: -55*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35731087.\nAnswer: 7, 617, 8273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*i**3*o**3 + 2*i**3*v**3 + 2*i**2*v**2 - 12*i*o**3*v**3 + 3*o**3*v**2 + 7*o*v**2 + 6*v**5 wrt v.\nAnswer: 12*i**3 - 72*i*o**3 + 360*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*m**2 + 7 - 7 + 530*m**2 + 167*m**2 + 12*m**2 + 0*m**2 - 3*m**2 + 4*m**2 + 1 - 1 - m**2 + (2*m - m + 0*m)*(0*m - m + 0*m) + 2*m**2 - 4*m + 4*m.\nAnswer: 714*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1822304 and 3100.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 4:02 AM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27)\/(-93))\/((-2277)\/1518)?\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -51 - (19 + 5 - 17) - -20\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*z + 57*z = 540. Are z and -61 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.00676 - -2. Round u to four decimal places.\nAnswer: -0.0068","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 3*v - 752. Suppose -k - 509 = -4*o, 0*o - 5*k + v = 3*o. Suppose 41 = -2*m + o. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 0 + -8 - (-22)\/12\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10773275?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 20 = -13. Let p be ((5 - -1) + i)*-47. Solve -4*j + p = 39 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 58099394.\nAnswer: 174298182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -185, -208, -231, -254, -277, -300?\nAnswer: -323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*o - 2880 = -88*o for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 2, 867, -0.5, 2211\/5, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26 + 13. Factor -507\/4*x**2 + y*x - 3.\nAnswer: -3*(13*x - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 744550341 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of -554508 and 0.4.\nAnswer: -554507.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -6140 - -5\nAnswer: -6135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 357947 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 3877*u - 157. Does 4 divide t(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/5, -124, 5\/3?\nAnswer: -124","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24396 is divided by 18028?\nAnswer: 6368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 2:23 AM?\nAnswer: 2:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123 is divided by 54.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 91546 to the power of 1\/2, to the nearest integer?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3*(1 + 6\/9). Suppose v*z - 12 - 8 = 0. Find the first derivative of -z*n**4 + n**4 + 2*n**4 + 2 wrt n.\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**5 + 22*c**4 - 92*c**3 + 184*c**2 - 176*c + 64.\nAnswer: -2*(c - 4)*(c - 2)**3*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q - 15. Let x be (29 - 20)*(2\/6 - 0). Suppose x*t - 42 = 17*t. Let i be 19\/t - -2*4\/(-12). Give s(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - 6*k**2 + 11*k - 4. Let n be q(-8). Suppose -5*b + n = 6. What is the lowest common multiple of (0 - 0)\/(-1) - -18 and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -46528.99 to the nearest one thousand.\nAnswer: -47000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2*o - 24 = -3*n, -2*o - 10 = 0. Suppose -s - 93 = -574. Suppose -n*m + s = -2*k, 0*m - k = m - 152. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 28182?\nAnswer: 84546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 907900*r**4 - 9*r + 1500857.\nAnswer: 3631600*r**3 - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 8*x. Let t(g) = 44*g**2. What is y(t(f))?\nAnswer: 352*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -102.1 + 5.1. Let d = 10171 - 10170. Which is bigger: b or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -3*p + 10. Let u be d(2). What is the derivative of u - 7 + 6*j**2 - 15 - 27*j**2 wrt j?\nAnswer: -42*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1218, 2450, 3682?\nAnswer: 4914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 176\/6 - (-7)\/42*4. Suppose 23*p = 8*p + k. Solve -3*t = 3*j - 18, 4*t = -5*j + 28 - p for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -11*w - 9. Let y(s) = 17*s + 14. Suppose 4*a = -3*p - 32, p + a = -1 - 9. Let g be 1 + (p - -3) + -1. Calculate g*y(k) - 8*x(k).\nAnswer: 3*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 1. Let d = 12502 - 12501. Suppose 7*t - 27 - d = p. What is the smallest common multiple of t and 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 - -11) + 8 + 0 + (3 - 62) + -3.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-34)\/4)\/(2\/(-4)). Suppose 4*m = -s - 111. Let v = -15 - m. Is v a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i**4 + 289245*i**3 + 578499*i**2 + 289251*i = 0. What is i?\nAnswer: -1, 0, 96417","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 367 = -5*s, -s - 79 = -2*s - 3*d. Suppose 5*v - 13 = -s. Suppose 17*y + 150 = -54. Do y and v have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245521 is divided by 2219.\nAnswer: 1431","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, s: 1, v: 2, t: 5, l: 6, e: 5}. Give prob of picking 1 s and 1 e.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + 30*x**2 + 101*x - 63. Let w be q(33). Let s + 0 - 1\/4*s**4 + s**2 - 1\/4*s**w = 0. What is s?\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/9 and -137\/3992322.\nAnswer: 11976966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*r + 8*r**2 + 9*r)*(192 + 235 - 39 + (-3 + 2 + 4)*(-1 - 1 + 5))*(0*r**2 - 3*r**2 + 2*r**2) in the form t*r**4 + b + n*r**3 + k*r + x*r**2 and give t.\nAnswer: -3176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 4*y**2 - 4. Suppose 2*n - 16 = -5*h, 2*n + 4*h - 32 = -18. Let p(x) = -5*x**2 + 3. Determine n*p(r) + 4*k(r).\nAnswer: r**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.5528906l?\nAnswer: 552.8906","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 212 = -2*b + 7*b, -4*d + 12 = 0. Suppose -b = -3*v + 20. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 2292 = 4*o, -3*u - 4*o = 993 - 2718. What is the remainder when u is divided by 279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + g = 70. Let n = 16 + g. Solve n*u = -u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1047769 equal to -1047766?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1950, 5604, 11674, 20160, 31062, 44380?\n\"Answer: 1208*t**2 + 30*t + 712","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.89 * 0.4\nAnswer: 0.356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mk when two letters picked without replacement from fmxgklk.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 + -9. Let h = 10 - n. Let p be (2 - 2) + -1 + 3. Solve 0*q = p*q - h for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 14 = -2*l, -27 = -l - p - 4*p for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d. Let n(o) be the third derivative of -o**4\/12 + 17*o**3\/3 + 12*o**2 + 2. What is p(n(l))?\nAnswer: -4*l + 68","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4984\/(-534)*99\/1078\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of 81251*s**3\/3 - 9*s**2\/2 + 8*s + 603. Suppose 3*j = 5*j - 16. Let o be g(j). Round o to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from egegggg?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s + 40 = 10. Let w(u) = 2*u + 5. What is w(s)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w + 9*w = 80. Solve 0 = -w*h - 22 + 30 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, b: 2, v: 5, m: 2, i: 7}. What is prob of picking 2 i, 1 n, and 1 m?\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + 333?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h**3 + 192*h**2 - 95*h + 4. Let n(j) = j**3 - 95*j**2 + 52*j - 2. Give 6*k(i) + 11*n(i).\nAnswer: -i**3 + 107*i**2 + 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 - 63452931095042.\nAnswer: -63452931095019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + 3*b**2 + b - 1. Let i be s(-2). Let q = -13 + i. Solve -2*d = 3*o - q, o = 2*d - 1 - 3 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 68 = 4*h, 14*h = 10*h + 2*f + 98. What is the highest common divisor of 2 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 23*f + 93. Let s be y(-4). Solve x - t + 3 = s, -t = x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 35 = 4*a, 5*a = -4*x + 2*a + 27. Let z be (0 - x\/(-1))\/1. What is the units digit of 2\/((z - 0) + -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v - 12 - 168 = 0. Let i = v + -13. Suppose 0 = -5*x - 0*x + 110. Solve 0 = -q - 5*h + x, -i*q - h = q + 4 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 7:59 AM?\nAnswer: 1:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 236541727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -512 + 2?\nAnswer: -510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -501 - -1028. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u - 7. Let f be r(6). Solve -4*x = -4*b - 24, -3*x + 3 + f = 2*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v. Let k(h) = -23*h**3 - 9*h. Let s be 6 - ((4 - 1) + 0). Let z(a) = s*x(a) + k(a). Find the second derivative of z(i) wrt i.\nAnswer: -138*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + 1 + (4 - 5). Let y = i - -4. Find the third derivative of -o**4 - 2*o**4 + 2*o**y + 3*o**2 - 2*o**4 wrt o.\nAnswer: -72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (143\/(-39))\/(-11)*-3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2734343585 and -0.4?\nAnswer: 2734343585.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 17040 rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 5*y, 0*p - 3 = -p + 2*y. Let r = 1 + p. Find the third derivative of b**2 + 0*b**r - 8*b**6 + 3*b**6 wrt b.\nAnswer: -600*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of -a**4\/2 + 2895*a**2\/2 + 2961*a - 9280. What is the first derivative of z(h) wrt h?\nAnswer: -6*h**2 + 2895","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1925.279 to the nearest integer.\nAnswer: 1925","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q**2 - 99*q. Let l(a) = -87*a - 24. Calculate l(o(k)).\nAnswer: 174*k**2 + 8613*k - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 3*g. Suppose -3*w - w + 12 = g. Suppose -o + 25 - 69 = -2*y, -3*o = -w*y + 72. Is 10 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62119583 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 - 5*o**2 - 2. Let d be w(-5). Suppose -4 = -4*v + 3*v. Which is the closest to v? (a) -0.1 (b) -0.4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 174471.6747 rounded to the nearest 1000?\nAnswer: 174000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 189256500 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: b\"What is the kth term of -11822, -23633, -35436, -47231?\n\"Answer: 4*k**2 - 11823*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 7:25 AM?\nAnswer: 9:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 4*b - 763 = 5*h, -3*b - 509 = 2*h. Let u = h - -255. Solve 2 = -j + s, -6 - u = -5*j - 4*s for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, -5, 4 in descending order.\nAnswer: 4, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/3232 and 61\/9105352.\nAnswer: 36421408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*l - 646874 + 215624 + 215623 + 215619.\nAnswer: 12*l - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 39590437 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u - 39 = 4*u. Let b be 6\/u - (296399991\/3 + 1). Round b to the nearest 1000000.\nAnswer: -99000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 + 3*d - 138. Determine y(10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7365 is divided by 247.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21302 + -30233?\nAnswer: -2331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = x. Suppose x*g + k = 2*g - 3, -k = g - 3. Let t be 1 + (-2)\/6 + (-8)\/(-6). Solve 5*a - n = -22, g*a + 8 = -t*n - 8 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*z + 42 + 278 = 0 for z.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/13839216 and 37\/2306536?\nAnswer: 13839216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -17912846, -35825696, -53738550, -71651408, -89564270?\n\"Answer: -2*s**2 - 17912844*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 233.1961l to millilitres.\nAnswer: 233196.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sesei. What is prob of picking 1 e and 1 s?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((12 - 12)\/19)\/(-4). Solve n = -9*m + 216 - 171 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 0 - 17) + (-2 - -6) + 2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - d = -490. Suppose d + 97 = 3*y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 7*o**2. Let t(z) = -z - 3. Let s(p) = p - 1. Let b(r) = -3*s(r) + t(r). Determine b(h(j)).\nAnswer: -28*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*c*h**3 - 72114*c*h**2 + 2405*c + 22 wrt h.\nAnswer: 21*c*h**2 - 144228*c*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 5*f - 24, 14*i - 11*i - 5*f = -8. Which is greater: -7 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**2 - y**2 - 4*y**2)*(-2860 + 4201 + 13074)*(-4 + 4 - 2*y).\nAnswer: 57660*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 178323 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 475 divided by 1.\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 - 3*f + 2. Suppose -6 = -6*x + 3*x. Let v be l(x). Solve 0 = 5*s - v*s + 20 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*m**3*q**2 - 24505218*m*q**2 + q**2 - 1401665 wrt m.\nAnswer: -6*m**2*q**2 - 24505218*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37b71 (base 13) to base 7.\nAnswer: 606221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 + 10*v**3 + 26 - 51.\nAnswer: 10*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 469 + 473 + 462 - 2*v + 508 - 1912.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of r**2\/2 - 7*r + 11. Let a(q) = -1. Determine -5*a(m) + w(m).\nAnswer: m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 388131, 776024, 1163917, 1551810?\n\"Answer: 387893*m + 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 447 = -5*z - 4*u, -3*z + 0*u = -3*u + 252. Let b = -44 - z. Suppose -750 = -5*k - 110. What is the remainder when k is divided by b?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + 5*y**2 - y - 2. Suppose -b - 6 + 90 = 2*n, -2*n + 84 = 3*b. Let j be (-156)\/n - 2\/7. What is the units digit of v(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b**5 - 436*b**4 - 5976*b**3 + 1008*b**2 + 54432*b + 26244 = 0. What is b?\nAnswer: -27, -3, -1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of n**5\/15 + n**4\/24 + 9*n**2. What are the prime factors of b(-2)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 - ((3 - -6) + (-9 - (-28 + 16)))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/70*-25)\/(345\/(-12)*(-12)\/30).\nAnswer: -5\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10684 - -4827. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -2*(6*(sqrt(175)*-3 + sqrt(175) + 3 + sqrt(175) - sqrt(175)))**2.\nAnswer: -51048 + 4320*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -2 + (-90 - -110) - 4?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of j**2 + 1\/3*j**4 + 0*j + 0*j**3 - 5. Let r(v) = -8*v. Determine r(k(d)).\nAnswer: -64*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 8:52 AM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3*b = -4, -5*b + 31 = 11. Let w be (q\/(-6))\/(8\/228). Solve -y - 6 = l, l - w = 2*y + 2*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d - 3. Let c be j(-7). Suppose 2*l - 6 = -3*r, -4*r + c*l = -39 + 11. Suppose q + h + r*h - 13 = 0, 5*q + 4*h = 2. Is q not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 38 + -4451697?\nAnswer: -4451659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -33035 + -64331?\nAnswer: -117366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 5*q + 4*c - 38, -3*c = 5*q - 45. Is (-1)\/(-10)*q - (-3128)\/20 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d - 20 = 4*d. Factor -4 - 6*l**3 + 46*l - 13*l**2 + 2*l**4 - 58*l - 3*l**d.\nAnswer: -(l + 1)**2*(l + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of -p**4\/2 + p**2\/2 - 79*p. Let r(a) = 12*a**2 - 2. What is 4*r(j) + 7*z(j)?\nAnswer: 6*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in 957, 5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14821431?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 9741, 21300, 32859?\n\"Answer: 11559*v - 1818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-51*812\/19720)\/((-1)\/10)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 6*t**3 + 62*t**2 - 30*t - 345. Give g(-10).\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 - (-158 - ((-39 - -20) + 22)).\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of f**2\/2 + 6*f + 2. Calculate the lowest common multiple of 20 and c(0).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.008029 rounded to three dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 226552 and 3216.\nAnswer: 91073904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 PM and 10:02 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2.7 * -45\nAnswer: 121.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - w - 586, 1468 = -5*j - 4*w - 0*w. Does 14 divide (-2)\/(-7) + j\/(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-o + o + 2*o)*(-3 + 1 + 3) + 94*o + 98*o + 119*o to the form f*o + h and give f.\nAnswer: 313","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -15*w - 5. Suppose 3*z = -3, -2*z + 18 = 4*y - 8*y. Let r(b) = -23*b - 8. What is y*r(m) + 8*x(m)?\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.14, 11, -2, 4, -7.2, 0.3, -3?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(128)*-3)**2.\nAnswer: 28800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2607556556 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {a: 2, v: 2, l: 1, f: 4}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -313258*y**3 - 3*y**2 + 10303815*y.\nAnswer: -1879548*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 29 in -2\/7, 0.05, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c**2*h**3 + 723791*c**2*h**2 - 28*c**2*h - 185*c**2 - 4*c - 3*h wrt h?\nAnswer: -6*c**2*h + 1447582*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-72))\/(-1*(-1)\/(-3)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -325*-325\nAnswer: 105625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/((-1)\/((-2)\/(-3))). Sort -3, -2, 5, w in increasing order.\nAnswer: -3, -2, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + ((-133)\/(-49) - 13\/(455\/(-10))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 151 + -88. Does 15 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of -j**7\/210 - 17*j**6\/60 - 169*j**5\/60 + 85*j**4 - 600*j**3 - 64*j**2 - 5*j - 5. Factor p(k).\nAnswer: -(k - 3)**2*(k + 20)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of -1\/12*b**4 + 0*b**2 + 374*b + 0 + 0*b**3. Let c(z) be the first derivative of z**3 + 4*z + 2. Determine u(c(n)).\nAnswer: -9*n**4 - 24*n**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 115444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w + 30. Let l be t(0). Suppose 0 = n + 2*u - 50, n - 6*u + 4*u = 34. Calculate the remainder when n is divided by l\/(-2)*(1 - 2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4535 (base 15) in base 13?\nAnswer: 68ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -723400 rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 148 a factor of 298960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**2. Let v(l) = -l**2. Let u(c) = 3*q(c) - 6*v(c). Let w(j) be the first derivative of -j**3\/3 - 31. Give w(u(o)).\nAnswer: -144*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 92\/16 - (-2)\/(24\/3). Does m = 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 408*w + 1649*w - 59687 - 30821 for w.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 - 1. Let a be p(-2). Suppose 0 = 4*w + 2*q - 76, 0 = -w - a*q - q + 26. Calculate the remainder when 71 is divided by w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 56*w**2 + 5*w + 4. Let g(m) = 19*m**2 + 2*m + 1. Let p(z) = -17*g(z) + 6*v(z). Is p(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 - 14. Suppose -5*z = 2*o + 2 + j, 0 = -z - 4. What is the units digit of (-2)\/8*-6*o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34525 is divided by 83.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 15 = -4*n - 0*m, -3*m - 11 = -2*n. Suppose 0 = -3*l - n + 13. Suppose 0 = -l*q + 4*j + 52, -2*q = -2*j - 35 + 1. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.7 - -0.5. Let m = 10 - 10. Which is the closest to m? (a) x (b) -2 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 + 17*c**2 - 18*c - 2. Suppose 7*w + j + 17 = 6*w, 3*j = -5*w - 87. What is k(w)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1326 and 173514.\nAnswer: 38346594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 8.4. Let d = m - -2. Let g = 0.399999 + d. What is g rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mjcjcm. Give prob of picking 2 m.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*v - 109 = -39. Suppose v*g - 5*p = g + 3307, 3*g - 2486 = -2*p. Is 10 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 5*u + 2 = 0, -42*b - 12 = -47*b + u. Solve -2*h - b*h = -0*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.94 + 0.06. Let z = -4.2 + g. Let j = z + 0.6. What is the third smallest value in 5, 0, j?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1334673984 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.7877 + -1485056.\nAnswer: -1485052.2123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*d - 3*h = 147, -5*d + 3*h = -183. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1\/491 + -39773\/982. Calculate the common denominator of 99\/80 and t.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*b**2 - 2\/7*b + 0 + 2\/7*b**3.\nAnswer: 2*b*(b - 1)*(b + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 3:49 PM?\nAnswer: 12:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s + 2. Let i(l) = -l + 17. Let b be i(-5). Let g = -22 + b. What is the units digit of k(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -48\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 t when four letters picked without replacement from bfffbfptpehpftthbhhb?\nAnswer: 6\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0.1, -615, -2\/11, 11\/7 in ascending order.\nAnswer: -615, -2\/11, 0.1, 0.3, 11\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 531948 and 23764.\nAnswer: 6915324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.043661 - -0.022324. Round q to four dps.\nAnswer: -0.0213","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c**3 - c**2 + 9*c + 1. Let a(p) = p**3. Give 5*a(l) + k(l).\nAnswer: 3*l**3 - l**2 + 9*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a minute in milliseconds?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 425 and 80525?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 249 + 68. Suppose -2*z - 4*j = -3*z - 167, -5*z = 2*j + 923. Let a = r + z. List the prime factors of a.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1334)\/(-38) + 7 + (46\/(-76) - (-13)\/26)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uufmfmzzbbmfuffzfz. Give prob of sequence zmzm.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.37802460727 plus 4?\nAnswer: 3.62197539273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 45719.65 millimeters?\nAnswer: 4571.965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 15*c - 10*c. Let o(l) = l - 2. Determine o(c).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 26*q + 23 = 0, 3*h + 11*q = 19*q + 1 - 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n**2 - 1 + 13*n**2 + 2)*(27 - 27 - 2*n**2).\nAnswer: -36*n**4 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p**4\/5 - 6*p**3 + 36*p**2\/5 + 6*p - 33\/5 = 0. What is p?\nAnswer: -11, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -23 - 27. What is the derivative of 8*i + 6*i - c + 6 - 23 wrt i?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppp. What is prob of picking 2 p?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h. Let w be q(0). Let y = 83 + -499\/6. Is w at most y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*u + 5. Suppose -u*y = 4*x + x - 35, 5*y - 41 = -4*x. Solve 2*c = x*c - 8 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 26 = -9. Is 2\/h + 1680\/49 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 53786*u**2. Let k(y) = -y**2. Determine k(t(a)).\nAnswer: -2892933796*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 1 + 3*x**3 - 2*x - 2*x**3 - 3 - 3 - 3*x**2. Let h be w(4). Suppose -4*n = 4, 0 = -3*y + h*n - n + 35. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33473 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 4 (c) -1 (d) -3 (e) -0.052387\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 61951502?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 5*h - q, -2*q - 46 = -38. Determine o so that 0*o**2 - 2\/5*o**h - 1\/5 + 2\/5*o + 1\/5*o**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5599 = 8*h - 11*h + 4*b, h = 2*b + 1865. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 1 = -u - t, 2 = -4*u - 2*t. Let w(o) = -o**3 + 5*o**2 + 5*o + 1. Let r be w(5). Let k = 30 - r. Solve -k*c = -u*c - 12 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50 + (-137 - -23) + -6.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -3698\/13, -2\/9 in ascending order.\nAnswer: -3698\/13, -3, -2\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = g - 3*v - 4, 4*g + 14 = 5*v. Let l(r) = -8832*r + 8. Let o be l(g). What is o rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6, -42, -102, -186, -294, -426?\n\"Answer: -12*g**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a meter in centimeters?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/(-2)*(-592)\/1036?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 24 = -2*i, i - 12 - 12 = -5*w. Suppose 5*q + i*v - 1271 = 0, 0 = q - 2*v - 196 - 61. Is 30 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-28)\/(-2 - 1 - -1). Let o(r) = 14*r - 26*r + x*r. Let j(h) = h**2. What is o(j(y))?\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11110010100 (base 2) to base 16.\nAnswer: -794","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 658124196.\nAnswer: 2, 3, 17, 3226099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 76502?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32 - -10031?\nAnswer: 3333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 5*o = -0*o + 80, -z + 19 = 4*o. Suppose -z*u - 172 = -17*u. Let w(f) = -4*f + 9*f**2 + u + 90 - 176. Let i(b) = 2*b**2. Give w(i(l)).\nAnswer: 36*l**4 - 8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7171.94 rounded to the nearest ten?\nAnswer: 7170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43609 is divided by 6208.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2681, -4639, -7907, -12479, -18349?\nAnswer: -25511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wcwwwwcxwcwccccx. What is prob of picking 1 w and 1 c?\nAnswer: 49\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 3*n - 15 = 45, 0 = -5*w + 3*n + 90. Let i = -39 - -69. Calculate the highest common divisor of i and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 3*d + d)*(3*d - 2*d + 0*d) - 4*d**2 + d**2 + 2*d**2 + 2*d**2 - 2*d**2 - d**2 + (3 - d - 3)*(-d + 2*d - 2*d) - d**2 + 6*d**2 - 3*d**2.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 210 = m. Suppose -o - 3*k + 15 = 0, 2*o + 12*k - 8*k - 20 = 0. Let b = o + 14. What is the highest common divisor of b and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -5*x + 3*x. Let c(v) = -5 + 11 + x + v + 0*v. What is the tens digit of c(20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9778600 to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 10, t: 10}. What is prob of sequence tett?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1430 and 279609.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(-19)\/3 - 3\/9. Suppose -3*a + m*a + 9 = 0. Is 2 a factor of 4*1*(-6)\/a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - -1*(3 + -4). Suppose h - 7 = -g. Suppose -g*c + 12 = -4*c. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 0*f + 6. Let i be (-3)\/9 + (-190)\/(-3). Suppose -5*d - 2*j = -81, -4*d + j = f*j - i. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2*v + 24 = 0. Let k be v - -6*4\/(-8). Solve k*x = -x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c. Let m(s) = 3*s + 282215. What is q(m(g))?\nAnswer: -6*g - 564430","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -1864, 1.5, 2, 10?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -302.09 rounded to the nearest 10?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 338 - 8789\/26. Let x = 2989\/184 - 89\/23. Find the common denominator of x and s.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/6)\/(80\/(-60)). Let n be (-6)\/(2 + i) - -108. Let w = n + -6. Does 31 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 12, o: 1}. What is prob of sequence os?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.856265 tonnes in micrograms?\nAnswer: 7856265000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1485 rounded to two dps?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 2546.954 days?\nAnswer: 220056825600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -12?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/7 and -37\/2376.\nAnswer: 16632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 6*c + 5 - 38*c**3 + 74*c**3 - 6*c**2 - 35*c**3. Calculate the smallest common multiple of 6 and g(5).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20312001 - 0?\nAnswer: 20312001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -129800 (b) -0.05 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/16*12540\/1881.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3545 (base 7) in base 3?\nAnswer: -1210102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(119)\/(sqrt(28)\/sqrt(4)) + -3*(sqrt(17) + 2) - (5*(sqrt(68) - -5*sqrt(68)))\/sqrt(4).\nAnswer: -32*sqrt(17) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160398 is divided by 7579.\nAnswer: 1239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7869, 31502, 70891, 126036, 196937, 283594?\nAnswer: 386007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 23*p**2 - 9*p + 7. What is the units digit of k(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, l: 1, h: 2}. What is prob of picking 1 l, 1 h, and 1 o?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from ccct.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 1)*(-18 + 8 + 8 - 3*i).\nAnswer: -9*i - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 739.7125 - 739. What is t rounded to 2 decimal places?\nAnswer: 0.71","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 + 452*p + 3217. Let q be t(-7). Suppose -3\/4*s + 9\/4*s**2 - 9\/4*s**3 + 3\/4*s**q + 0 = 0. Calculate s.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2586993 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/10*2*-1. Let u(q) = 2*q**2 + q - 13. Let d be u(3). Are d and b nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -81, -3, 0.\nAnswer: -81, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wj when two letters picked without replacement from wjnjw?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2026233173 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*r + r + 0*r)*(-4*r**2 + 12*r**2 + 14*r**2) + 2*r - 2*r + 2*r**3)*(4 + r - 4).\nAnswer: 24*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((3*sqrt(3328))\/sqrt(4) + 3) + (sqrt(91)\/(sqrt(7)*-2) - (2*sqrt(117))**2) + 3 + (-2*sqrt(325))**2.\nAnswer: 287*sqrt(13)\/2 + 853","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by -204404.\nAnswer: -13\/204404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*c = -131*c + 90*c. Let d = -0.4 + -0.1. What is the nearest to c in d, 2, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21 in 88055, -2\/5, 0.25?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34 - -43. Let u(w) = -w**2 + 7*w + 20. Let k be u(d). Let o be (-44)\/33*(-3)\/k. Solve -y + 2*n = -0*y + o, 3*n = -3 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -88890 to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31 by -7.\nAnswer: -31\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/28*(64 + (-249)\/4).\nAnswer: 11\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-368)\/((-253)\/(-11))*24\/84*(-7)\/(-2)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.01 and 512802.\nAnswer: 5128.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 233 = 3*g + 56. What are the prime factors of g?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 16\/4 + 204\/(-52). Does z = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, 3, 1038, 20 in ascending order.\nAnswer: 3, 20, 28, 1038","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**0)**15\/(o**(-3\/5)\/(o*o*o*o*o**3*o*o)))\/(o\/o**(5\/2)*o*o*o**(1\/8)*o)**(-4\/27) assuming o is positive.\nAnswer: o**(2657\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 206 and 526021.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -21 (b) 4 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = l + 196, b + 0*l + 93 = -3*l. Let o = -109 - b. Let r be 3 + (-3)\/(15\/o). Solve 2*t = -0*t - y + 13, 2*y - 30 = -r*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, -76, -120, -166, -214, -264, -316?\nAnswer: -370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (57\/24)\/19 + 82\/(-16). Let n(o) = 17*o - 2. Let c(t) = -11*t + 1. Let l be 13\/(-1) + 2 - -3. What is l*c(a) + y*n(a)?\nAnswer: 3*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76868 - 76868 + 115*w**2 + 108*w**2.\nAnswer: 223*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8460 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-228)\/(-44) - 2 - (-14)\/(-77). Suppose -3*w - r = 0, 3*n - 6*w - 143 = -7*w. Calculate the greatest common factor of 216 and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*s + 47*s = -21 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (100\/560)\/(40\/(-14))\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(14\/2)*(-7095)\/1419?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -96734*l**3*s**2 + 1123*l**3 + 3*l**2*s**2 + 27*l**2*s - 13*l**2 + 6*s**2 - 3 wrt s.\nAnswer: -193468*l**3 + 6*l**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8088 times 0.00721?\nAnswer: -58.31448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*t - 1769 - 1951 = 0. What is the least common multiple of t and 302?\nAnswer: 9362","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 234486021, 468972049, 703458081, 937944117?\n\"Answer: 2*m**2 + 234486022*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1158054216 a multiple of 2904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k**2 + 5*k - 1. Determine f(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -152.68 - -170.68. Which is bigger: v or -32?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of 3*r**2 + 0*r**3 + 1\/8*r**4 + 0 + 0*r - 1\/30*r**5. Find the second derivative of b(x) wrt x.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/44685 and -91\/4965?\nAnswer: 44685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 3\/1 + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b**3)\/b*b*b**(1\/5))\/(b\/(b\/b**4)*b**3) assuming b is positive.\nAnswer: b**(-9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3aa544 (base 11) in base 12?\nAnswer: -2704b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*7\/(-56))\/(1\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c - 3*c = -5*c. Suppose 53*d - 54*d + 569 = c. List the prime factors of d.\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16279 is divided by 55?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 677837 is divided by 171.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -6892, -16130, -25368, -34606, -43844?\n\"Answer: -9238*d + 2346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 27560 (base 8) in base 12?\nAnswer: 7040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4830 + 4862. Solve 52*b = 60*b + g for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 + 1. Let r be o(1). Suppose -r*x = -14 - 0. Calculate the remainder when 26 is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.5 (b) 0 (c) 0.03859 (d) -6 (e) 8 (f) 1\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 11670, 11671, 11672, 11673?\n\"Answer: i + 11669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**22*k)\/k)\/k)\/k*k**(-1\/31) assuming k is positive.\nAnswer: k**(650\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 242 + 16. Does 17 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3783 and -0.33?\nAnswer: 1248.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1681*x + 97*x + 85*x - 169*x.\nAnswer: 1694*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 81 + -85. Sort 2, 1, 21, g in descending order.\nAnswer: 21, 2, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 2.1. Let b = 2.94 - -0.06. Sort l, b, 0.\nAnswer: 0, l, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.37 + -6.52. What is g rounded to 0 dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 PM and 10:54 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13177701?\nAnswer: 3, 449, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, 0.4, -0.5, -1150, -53 in ascending order.\nAnswer: -1150, -53, -5, -0.5, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -21*g**6 - 4*g**5 + 4*g**3 + 16*g**2 - 4. Let s(u) = -u**6 - u**5 + u**3 - 1. Let m(h) = -4*s(h) + z(h). What is the third derivative of m(o) wrt o?\nAnswer: -2040*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 9, m: 3, i: 5, p: 2, y: 1}. Give prob of sequence imy.\nAnswer: 1\/456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4283, -4284, -4283, -4280, -4275, -4268?\n\"Answer: a**2 - 4*a - 4280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 651*h + 1170*h - 1 + 1181*h - 3009*h.\nAnswer: -7*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 31.417113 to one dp.\nAnswer: 31.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -0*s + 5*a - 47, 0 = 2*s - 3*a - 23. Suppose s*m = 12*m. Suppose m*l + i = -3*l + 11, 3*i + 17 = l. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 - 7*k**2 - 2*k + 19. Let r be g(7). Suppose -3*u - r*l = 5 - 11, -4*l = 0. Solve -16 = -u*s - 6 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -6*d**2 + d + 9. Let g(f) = -7*f**2 + 2*f + 10. Let z(t) = 6*b(t) - 5*g(t). Suppose 10 = -4*j - 6. Calculate z(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 96484808 to the nearest integer?\nAnswer: 459","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/5 (b) -0.1 (c) 0.033\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c - 65*c**2 - 3*c - 60*c**2 - 264 + 123*c**2 to the form m + b*c + p*c**2 and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of p**6\/33 - 12*p**5\/55 + 13*p**4\/22 - 8*p**3\/11 + 4*p**2\/11 - 1. Find t such that l(t) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/5*s + 0 + 4\/5*s**3 - 8\/5*s**2.\nAnswer: 4*s*(s - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j. Let o(u) be the third derivative of u**4\/8 + u**2. Let k(f) = -f + 2*f - 2*f. Let g(m) = 10*k(m) + 4*o(m). Give a(g(y)).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*p - 0. Suppose -276 = -k + 519. Suppose -5*r = -4*d - 934 + 103, -5*r - p*d + k = 0. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 142*x - 138*x - 264. Let c be 7 + -2 + 3 + 1. Let d = -3 + c. What is the highest common divisor of x and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 123 - 117. Suppose 6*o - 5*b = 2*o - 5, 4*b - 15 = o. Solve -2*m = -o*d - j*m + 5, 0 = -4*d + 5*m + 45 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 AM and 3:58 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18848609 is divided by 395?\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 4*n = 11, 0*k - 5*k = -2*n + 17 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 11 = 4. Let w be (-1)\/i + 10\/3. Solve -w*x + 15 = -0*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -10. Suppose 326 = 12*u - 10. Calculate the remainder when u is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39293651 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5381 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -19686?\nAnswer: -1\/19686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 184?\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 62670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 2*z + 4*r = -18, 1 = r. Let w(f) = -9 - 5*f + 8 + 13 + 4. Let o(q) = q - 3. Let x be ((-2)\/(-3))\/(1\/(-3)). Calculate x*w(t) + z*o(t).\nAnswer: -t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/45824 and -3\/64.\nAnswer: 45824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -501429\/13 + 38593. Sort 3, 5, h, -0.4, -1\/7 in descending order.\nAnswer: h, 5, 3, -1\/7, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + 1\/((-7)\/(-2) - 4). Sort l, 4, 4\/7, 3.\nAnswer: l, 4\/7, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 - 3*f**2 + 11*f + 9. Let c be w(-5). Differentiate 23*h**3 - 23*h**3 + 11*h + h + 41 + h**c wrt h.\nAnswer: 4*h**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19.6 + 7.3. Let z = h - -17. Round z to zero dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1042346.\nAnswer: 2, 521173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 2077 divide 2604558?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 PM and 2:40 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of -2*j**5\/45 + j**4\/6 + 2*j**3\/27 - j**2\/3 - 10. Determine b, given that s(b) = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1506 (base 10) to base 16.\nAnswer: 5e2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + 4 + 276\/(-60). Let c = -0.9 - 0.1. What is the third smallest value in y, c, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*j - 7 = -89. Solve -j*p + 2 = 0, -2*f + 0*p - 3*p + 7 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 549?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 325\/636?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((36\/(-12))\/((-2)\/(-156)))\/(-2). Let z = j - 51. Calculate the greatest common divisor of 594 and z.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(10\/3)\/(g\/(g\/g**(-30\/13))))\/(g**(2\/15))**(-2\/41))**(2\/3) assuming g is positive.\nAnswer: g**(90304\/23985)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 408300 to the nearest ten thousand.\nAnswer: 410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 2*b - 4, 3 = 5*b + v - 7. Suppose 3*c = -b*i - 13, -c + 43 = -5*i + 2*c. Is -8 not equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4165 + 4162.9498. What is d rounded to 2 dps?\nAnswer: -2.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -6*x - 23. Let l be i(-5). Suppose -8*h = 7 - 31. Suppose -287 = -q + t, -l*q + h*q = t - 1148. Does 34 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.15989 + 424747\nAnswer: 424746.84011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5106671?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(10)\/sqrt(5))**2 + sqrt(8)\/sqrt(4) + -5 + (sqrt(50)*5 + sqrt(200) + 2)**2.\nAnswer: 141*sqrt(2) + 2439","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 3*n**2 - 2. Let v be a(2). What is the units digit of ((-4)\/20)\/((-2)\/v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 35829?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000011 - -1101000111101?\nAnswer: 1101010000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0 (b) -1 (c) -1\/27 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3198 and -4.84.\nAnswer: -15478.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-2\/11))**(2\/33) assuming j is positive.\nAnswer: j**(6\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 91 + -54. Let r = -40 + m. Let f = 570.14 - 570. Sort -0.4, f, r, -0.1.\nAnswer: r, -0.4, -0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2133, 3\/2, 9 in decreasing order.\nAnswer: 9, 3\/2, 1\/2133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3326*w - 5789*w + 2463*w - w**3.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-1 - -1 - (20 - 7)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/426060 and -223\/231660.\nAnswer: 60926580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 389, 742, 1071, 1364, 1609, 1794, 1907, 1936?\n\"Answer: -2*d**3 + 367*d + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3624, -7252, -10882, -14514, -18148, -21784, -25422?\n\"Answer: -r**2 - 3625*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -7*k + 8*k. Let g(s) = 9*s - 3. Let v(j) = 3*j - 1. Let b(w) = 3*g(w) - 8*v(w). Determine b(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-1605.\nAnswer: -160.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of 7*p**3\/6 + p**2\/2 - 3*p - 4. Let i(m) be the first derivative of z(m). List the prime factors of i(3).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-928)\/(-812) + (-8)\/14)*7\/2. Let k(y) = 4*y**2 - 8*y - 6. What is k(n)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13.552 - -13.352. Which is the nearest to 1.3? (a) -4 (b) r (c) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-3)\/m)**46)**(1\/14)\/(m\/m**7*m\/(m*m*m*m*m**(2\/25)*m)*(m\/m**1)**(2\/39)) assuming m is positive.\nAnswer: m**(-536\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2712 + 2708. What is the fourth biggest value in -12, y, -1\/2, -1?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 2) in base 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.03 and -630?\nAnswer: -18.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 0 + 4 - 4*t**2 + 5*t + 5. Let l(g) = 2*g**2 - 2*g - 4. Let i(h) = 3*d(h) + 7*l(h). Let k(o) be the first derivative of i(o). What is k(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**(1\/9)\/t))\/((t**(2\/27)*t)\/t) assuming t is positive.\nAnswer: t**(49\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1786 is divided by 112?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 87 - 85. Let f be q\/84 - (-24)\/168. What is the third smallest value in 3, -0.2, f, -9?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -192*d + 221 - 1931*d - 219.\nAnswer: -2123*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 100 and 8400?\nAnswer: 8400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 863c (base 14) in base 11?\nAnswer: 16465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1068 and 1958?\nAnswer: 11748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -148\/9 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (38 + -88 - (-6 - ((-3 - -1) + 1))) + 5?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 + 35*c - 13. Calculate s(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 AM and 1:10 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 6, 5 in increasing order.\nAnswer: -3, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 8. Suppose -r*u = -4*w - 22, -5*u + 0*w = 5*w + 20. Suppose -u = -b - 0. Is 0 smaller than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2165406904?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/2)\/(1 + -2). Let r = -5.5 - -35.5. Let j = -35 + r. Which is the closest to l? (a) 0 (b) -0.3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 13*b - 14*b + 4, y + 2*b - 8 = 0. Let j(v) = -3*v + y*v - 2*v. Let k(z) = 2*z**2. What is k(j(i))?\nAnswer: 50*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5323*w = -5304*w + 285 for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do 5543357 and 5543363 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 100 = -5*h, -7 = -3*p - 22. Let l be 9\/7 + h\/(-56). Solve 0 = -q - 4 - l for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 9*v**2 - 2*v + 2. Let y be n(3). Suppose -y*h = -82*h + 10. Suppose -h*q + 17 + 289 = 0. Is 25 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 76*l + 85*l - 77*l to the form g + c*l and give c.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*h = -35*h + 29*h - 24 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 4*l**2 + 92*l + 18. Calculate the lowest common multiple of 48 and i(-23).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.16 + -0.56. Suppose -5*g - 3 = -g + d, -2*d = 6. Which is the second smallest value? (a) -0.03 (b) i (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21301 and 1071?\nAnswer: 191709","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29912?\nAnswer: 2, 3739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4800 by -1.\nAnswer: 4800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 + (-33 - -16 - -3)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(450) + 0 + sqrt(450) + -5 + 3*sqrt(8)*-6*-5 + 2)**2.\nAnswer: -1260*sqrt(2) + 88209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 86 + -96 - (0 + -8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-6)*a*a**5)\/(a**(2\/5)\/a*a)**(-39) assuming a is positive.\nAnswer: a**(78\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -6.9999885. Round m to six dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vqqfq. What is prob of picking 1 q and 1 f?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2326?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26 + 28. Let d = 8 + -5. Let x = 8 - d. What is the second biggest value in r, x, -0.3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-5) + (-27)\/(-5). Let z(d) be the second derivative of 0 - d + 3\/20*d**r + 0*d**3 - 1\/6*d**4 + 0*d**2. Find the third derivative of z(u) wrt u.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (((sqrt(304) + sqrt(304) + -2 - sqrt(304))*4)**2 - (sqrt(304) - 5*2*sqrt(304))**2)*6.\nAnswer: -118181 - 1536*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.035 and -7467.5.\nAnswer: -261.3625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 4*l + 4*v, -5*l + 12 + 43 = 2*v. Let q be -1190004 + (-9)\/(l\/(-4)). What is q rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12593761.58 rounded to the nearest 10000?\nAnswer: -12590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 9327*u - 45974. What is z(5)?\nAnswer: 661","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w. Let i(g) = 1024*g - 45 - 648*g + 45. Determine y(i(d)).\nAnswer: 752*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 102*c**5 + 152*c?\nAnswer: 2040*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*t*w**4 + 32*t*w**3 + 1122*t*w**2 - t*w + w**4 wrt w?\nAnswer: -72*t*w + 192*t + 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t. Let s(j) = 2*j + 1748995. Calculate f(s(d)).\nAnswer: -4*d - 3497990","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ioppiisos. What is prob of sequence sopo?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4588486 at least 4588486?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 416 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -680777 divided by 28?\nAnswer: -680777\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*d**4 - 1470*d**3 + 4428*d**2 - 4434*d + 1479 = 0. What is d?\nAnswer: -493, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 2*k = -17, 0 = -6*l - 214708*k + 214704*k + 22 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9688 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q - 3*q**3 + 5033 - q - 5030 - 6*q**2. Let s be u(-3). Let t = 24 - 11. Calculate the greatest common factor of t and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 47 - 14 = 0. Is 11 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00127851 to 5 dps.\nAnswer: 0.00128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 2 b when four letters picked without replacement from kbbbjbjjjbjkkbbk?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 2 - 4. Let j = 10 + v. Solve -10 = -2*a - 3*a - 4*f, j = 4*a - 5*f for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, y: 4, k: 2}. What is prob of sequence yys?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 7*m + 3. Let c(h) = -20*h - 8. Give -17*a(d) - 6*c(d).\nAnswer: d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 a when four letters picked without replacement from aafaafaaaaaa?\nAnswer: 16\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -21 and 23?\nAnswer: -483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 553*h + 3555. Let m be r(16). What is the highest common divisor of m and 157?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*y - 2*y. Let s(k) = 3*k**2 - 4*k - 4 + 0*k**2 - 2*k**2 + y*k. What is s(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 86013, 86017, 86021?\n\"Answer: 4*s + 86009","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 401373 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5832 and 360?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 + 33*l + 213. Let h be w(-36). Which is the closest to h? (a) 1 (b) 0.2 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.32 - -2.32. Which is the nearest to l? (a) 6 (b) -0.3 (c) -5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1324 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*((-18)\/(-21))\/(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 961*s + 993*s**5 - 961*s + (-2*s**5 - 2*s**5 + 2*s**5)*(2 - 1 - 3) + s**5 - 2*s**2 + 2*s**2.\nAnswer: 998*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t - 4. Let k be l(4). Let g(b) = -3*b**2 - 4*b. Let q(x) = -14*x + 441. Let z be q(30). Let m(h) = 15*h**2 + 21*h. Determine k*m(i) + z*g(i).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3 + 430833*d**2.\nAnswer: d**2*(d + 430833)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -185 - -183. Put n, -14, 0 in ascending order.\nAnswer: -14, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r - 4. Let t be f(6). Let k = 12 + t. Suppose -k*q - 16 = -6*q. Solve s - 3*s = q for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 AM and 7:06 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1305953 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 264?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -25579 minus -2.25?\nAnswer: -25576.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/((-330)\/(-40))*(-6)\/(-4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10\/153 - 6865\/306. Let j = x + 23. What is the closest to 2\/5 in -1\/6, -3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-24*1)\/(-2))\/((-16)\/(-88)) is divided by 39.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74257 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*u**2 + 43 - 20*u**2 - 38.\nAnswer: 10*u**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(539) + (sqrt(539) - ((sqrt(539) - (sqrt(539) - 2*sqrt(539))) + 3)) - sqrt(539)) + -4))**2.\nAnswer: 882*sqrt(11) + 5292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*l**2 - 2*l**4 - 5 - l**3 - 2*l**2 + 3*l + 5 to the form i*l + x*l**3 + n*l**2 + t*l**4 + b and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 128 divide 29814594?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1862 - 1860. Solve 0 = 5*l + k + 25, -3*l - 19 = k - p for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 5*u = 16699985, -11 = -5*u + 4. What is n rounded to the nearest one hundred thousand?\nAnswer: -4200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 - 8*s + 2. Let u be r(9). Suppose u = 2*n - 19. Calculate the remainder when 59 is divided by n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 b, and 1 j when three letters picked without replacement from {h: 1, j: 5, t: 6, d: 3, b: 3}?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = 10*r - 32 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - 3. Let x be (-14)\/21 - 334\/f. Calculate the highest common divisor of 11 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 28*m**3 - 8*m**2 + 8*m + 7. Let b be c(6). Let v = b + -10987. Let r = 7489 + v. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3375\/2625)\/(6\/(-56))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 653.0573ug to milligrams.\nAnswer: 0.6530573","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 3185716?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 339, 0.4, 5\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of v**4\/6 - 5*v**3\/2 - 12*v**2 + 27*v. List the prime factors of c(-6).\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -596 divided by 149\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 135.083 + -135. Let g = p + -0.583. Let x = -177\/7 + 76\/3. What is the biggest value in x, 4, g?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -79209, -158427, -237645?\n\"Answer: -79218*v + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -13144 divided by 124?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 4*f - 56, 5*a - 96 - 14 = -5*f. Let g = a + -15. Solve -g*d - 4 = -2*v, -d - 2 = -v - 0*v for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-13))\/((-480)\/(-208))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - ((-4)\/9 - (-2)\/(-9)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uye when three letters picked without replacement from eyeeyyeyuuyueyuueey?\nAnswer: 245\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 589378 to the power of 1\/3, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 + 25. Let r(s) = -s**2 + 8*s. Does 4 divide r(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 689 is divided by 172?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*-1 - ((-2742)\/(-24) - 3). Let u = 112 + g. Put u, 2, 27 in descending order.\nAnswer: 27, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 15865009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-57) - (-6142)\/(-1577).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 PM and 1:37 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 167036887, 334073770, 501110653, 668147536, 835184419, 1002221302?\nAnswer: 1169258185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kj when two letters picked without replacement from {j: 3, k: 6, y: 5, h: 3, i: 1}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4*b = 35 - 51, -g + b - 1 = 0. Suppose 0 = -t - t + 8. Suppose g*z = q - 5*q + 640, 650 = t*q - z. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*q + 681 - 722 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(1\/28))**(6\/19))**(-34) assuming c is positive.\nAnswer: c**(-1479\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = -267 - 129. Let b(f) = -a*f**2 + 133*f**2 - 76*f**2. Let v(q) = -3*q - 5. Let g(d) = -4*d - 6. Let j(i) = -5*g(i) + 6*v(i). What is j(b(w))?\nAnswer: -18*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 18 = -4*r, 0 = -105*z + 103*z + 20*r + 20 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/8*2*-9. Is 0 at least f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of 0*k**3 + 15*k + 1\/300*k**6 + 1\/75*k**5 + 1\/60*k**4 - 11\/2*k**2 + 0. Let h(i) be the first derivative of a(i). Factor h(r).\nAnswer: 2*r*(r + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zvxoexxexxoxvmxz. What is prob of sequence xv?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 378 + 1 = 5*t, -5 = -5*t. Let w = -187 + n. Suppose 0 = -3*p - 5*r + r - 16, 0 = -r - 4. Solve -4*k + k - 15 = p, w = -l + 5*k + 25 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 145*q**2 + 4*q - 3. Let o be c(1). Let g = -134 + o. Solve f - h - 1 = 0, h = 4*f - h - g for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 + 4*z**2 + 6*z - 1. Let f(y) = y**3 - 5*y**2 - 6*y + 4. Let c be f(6). Determine g(c).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (-56 - -39) - -29.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -82.917 - 0.083. Let p = f - -77.9. Let t = 5 + p. Which is the closest to -2\/5? (a) t (b) 0 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/83800 and 21\/134080.\nAnswer: 670400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -t**2\/4 - 23002329*t + 92009317\/4 = 0.\nAnswer: -92009317, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17\/45 - 3\/5. Put 3, a, 0.07 in descending order.\nAnswer: 3, 0.07, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 PM and 8:20 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 30 - 70. Calculate the smallest common multiple of 6 and x.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-26)\/(-13) - 22\/40 and -59\/14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10012001111 + -222101?\nAnswer: -10020000212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 177\/(-118) - 117\/(-2). Calculate the greatest common factor of 114 and w.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/40 and 71\/28?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*c + 5 = 50*c. What is the common denominator of -5 + (-1815)\/50 + (-4)\/c and -6\/95?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300) + sqrt(300) + 1 + 3 + 5 + -1 + sqrt(300) + sqrt(300) - (4 + -2*sqrt(300) + sqrt(300)*1*2))**2*-6.\nAnswer: -28896 - 1920*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 31 - 2 = -2*z, -z = 2*f - 14. Suppose 4*m = x - 3, 0 = 6*m - m + 4*x - 12. Calculate the lowest common multiple of 1 + m*(-3)\/6 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9)\/(-54) + (-17)\/30. Let r = 3 + -15. Let x = r - -11.5. Which is the third smallest value? (a) 1\/8 (b) u (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of 113*o**4\/6 + 11*o**3\/6 + 2*o**2 - 22*o + 14. Let r(l) be the first derivative of m(l). Is r(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -5*w**2 + 14*w - 21. Let z(y) = -4*y**2 + 14*y - 20. Let f(d) = 3*x(d) - 4*z(d). Let k be f(13). Solve v = t - k, -8*v + 3*v = -3*t + 22 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 87435 and 50895?\nAnswer: 3409965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.59*-11101.05.\nAnswer: -6549.6195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + -55. Let j be 2 - (q\/3)\/1. What is the highest common factor of 24 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 274 a factor of 300304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/1185, -6, -4 in ascending order.\nAnswer: -6, -4, 2\/1185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 4899\/2012?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/15 + 7282*y + 327636\/5.\nAnswer: 2*(y + 9)*(y + 54606)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.02 + -0.08. Let m = j + 0.3. Suppose 5*u - 11 = 2*p, u + 11*p = 18*p + 22. What is the third biggest value in m, -0.5, u?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 62 = 6. Suppose 20*s = 561 - 161. Suppose -w*f = -21*f - s. Put -4, f, 2 in descending order.\nAnswer: 2, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0295 and 4288.\nAnswer: 126.496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 33, 107, 193, 297, 425, 583, 777?\n\"Answer: x**3 + 67*x - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l**4\/4 - 42081*l**3\/4 + 105177*l**2\/2 - 84135*l + 42066 = 0. Calculate l.\nAnswer: 1, 2, 14022","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 60 = -5*f + d, -5*d - 49 = -3*f. Let y be f\/(-68) + (-253)\/(-561). Is y bigger than -76?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3420\/54271 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*3\/90*-138.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 - 7*y**2 - 5*y - 4. Let n(v) = 0*v + 2*v - 3*v - 2. Let b be n(4). What is l(b)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 6.3. Suppose -2*y = -y - 2. What is the nearest to 0 in n, y, -0.5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 2:46 AM?\nAnswer: 11:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00012243 to six decimal places.\nAnswer: -0.000122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 11\/66*6*(-15)\/(-25)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 444 - -5?\nAnswer: 451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3*w - 4 = 3*g, -16 = w - 5*g. Let h be (w + -1)*(-1)\/(-6). Suppose k = 13*k - 43*k + 372. Put h, 0, k in increasing order.\nAnswer: 0, h, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 243 - 4?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 30 = -3*z, 0 = -g + 2*g + z - 4. Calculate the lowest common multiple of 10 and g.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 19. Suppose -18*v + 22 = -s*v. Let c = v - 13. Calculate the greatest common factor of 9 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -5*c. Let p(r) = -20*r - 11. What is p(b(d))?\nAnswer: 100*d - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 8:33 AM?\nAnswer: 8:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1013 - -1793. Suppose -5*f - o = -10*f. What are the prime factors of f?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/(-5)*((-198)\/(-242))\/(30\/(-8)).\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 347033 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v**4)**(-28)*(v*v**31*v)\/(v*v**(-7\/4)*v) assuming v is positive.\nAnswer: v**(-541\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -286758*i*j*r**3 + 368395*j*r**3 wrt i.\nAnswer: -286758*j*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 2\/35, -0.3.\nAnswer: -0.3, -2\/7, 2\/35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4*o = -0*o, -4*o + 16 = f. Let 0*u**4 - 2*u**3 - 7*u**f + 4*u**2 + 3*u**4 + 2*u = 0. What is u?\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.44 - 3.44. Which is the smallest value? (a) w (b) 3 (c) -4 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 - -15. Suppose 4*m + 5*a = 26, 0 = t*m - 5*a - 7 + 1. What is the third derivative of 3*s**2 - 5*s**2 + 0*s**m + s**4 wrt s?\nAnswer: 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 1 + c - 6 - 3*c + 9. Let q be w(-3). What is the highest common factor of 70 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -867286 - -867288. Factor -16\/7*f + 0 + 15\/7*f**l + 1\/7*f**3.\nAnswer: f*(f - 1)*(f + 16)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 15\/(-12)*2*2. Let d be 8\/28 - (-108)\/14. Let i = d + q. Solve 5*p + 13 = i, 4*p = -4*z - 28 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p**5 + 433*p**4 + 1865*p + 7. Let q(x) = x**5 - 216*x**4 - 933*x - 3. Let d(c) = -3*i(c) - 7*q(c). Find the second derivative of d(l) wrt l.\nAnswer: -20*l**3 + 2556*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - 2. Let t = -3 + 4. Let u(g) = g**2 - 1. Calculate t*a(w) + u(w).\nAnswer: 2*w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/11293099 and -23\/77086.\nAnswer: 22586198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -5*j**5 + 222235*j**4 - 222230*j**3 = 0.\nAnswer: 0, 1, 44446","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -377 times -188531?\nAnswer: 71076187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21 - -201001211?\nAnswer: 201001120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/4)\/(2\/(-4)). Let s = -34731\/7144 - 12\/893. Calculate the common denominator of s and (a\/(-6))\/(1\/(-177)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 55 = v, -3*v + p + 152 = 19. Suppose 0 = 9*m - v + 16. What is the highest common factor of 27 and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -31\/55 - -4\/11. Put 4, a, 4\/3, 3\/5 in decreasing order.\nAnswer: 4, 4\/3, 3\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5124 and 21.\nAnswer: 5124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2366 + 0.2566. Which is greater: -1\/81 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 31.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + 0. Suppose -2*r - x*m - 167 = 0, -r + 76 = -2*r - 3*m. Let g = -457\/5 - r. Which is bigger: g or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 51.5 - 53. Let c = b + -3. Let n = c + 4.49999835. Round n to 7 dps.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8625 at most as big as 4\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 199 and 135917.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 5*y + 11 - 11 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 7*t**3 - 9*t**2 + 17*t + 20. Let h(j) = -51*j - 297. Let g be h(-6). Is u(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-22)\/77)\/((-1)\/14). Let c be (-3)\/(-12) - (-9)\/(-4) - 6. What are the prime factors of (c\/(-10))\/(z\/40)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -98 + 128. Suppose -4*i = -u*i + 21372. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*q**2 + 2564*q - 9240.\nAnswer: -4*(q - 210)*(3*q - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 261265011 to the power of 1\/6, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 AM and 5:35 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 22*f + 9*f**3 - 11*f**3 - 5*f**2 - 17*f. Let j = -743 - -738. Let t(s) = -s**3 - 3*s**2 + 3*s. What is j*t(z) + 3*v(z)?\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of 0 + 2*z**3 - 1\/60*z**5 + 0*z + 42*z**2 - 1\/3*z**4. Calculate j(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10406.5 + 10406. Let b be (-3)\/21 + 4\/(-14). Let l = -3 + 2.6. What is the second smallest value in l, u, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -5, 1340?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 175519 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 207968 and 144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2. Let c be s(0). What are the prime factors of 6 + -4 - (c - 15)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -6*x**2 - 4*x - 1. Let r(g) = -183*g**2 - 9*g - 11. Give -r(f) + 2*y(f).\nAnswer: 171*f**2 + f + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.145266771 rounded to one decimal place?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8211 + 541969\/66. Let x = -20\/33 + u. Which is greater: x or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of -55 - 53*b**2 + 2\/3*b**3 - 3\/2*b**4 + 0*b. What is the second derivative of m(o) wrt o?\nAnswer: -36*o + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: a2b (base 16) to base 5\nAnswer: 40403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 4*b - 2*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppvdllkjdlvdjllvldj. Give prob of picking 1 d, 1 j, and 1 v.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -14 + -3)*(-2259)\/1004.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -13*o - 7. Let u be b(-3). Suppose -28*g + 220 = -u*g. Is (-4)\/(-2) - (g - -6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*c - 15, 4*x + c - 688 = 0. Let m = x + -151. What is the remainder when 37 is divided by m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 1 - 77*z**2 - 3 + 14*z**2.\nAnswer: -63*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**4 + 4*a**2 - 4*a**2 + (-13 + 31 + 2*a + 38)*(-4*a - a + 3*a)*(-2 + 2 + 3*a**2).\nAnswer: -10*a**4 - 336*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10252 = -25*d + 1298. Does 11 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -681*g**2 + 342*g**2 + 338*g**2.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 15015 (base 6) to base 15\nAnswer: a92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 20 = 0, -3*t + 2231 = 2*v - 0*t. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 827634912.\nAnswer: 2, 3, 13, 139, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 77? (a) -5 (b) 3\/5 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 c when three letters picked without replacement from ccccctcttclictciclc.\nAnswer: 110\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 3*t - 12 = 0. Suppose -4*r + t*m = -22 - 6, 0 = -3*r - 5*m + 21. Let a = -1 + r. What is the highest common factor of 6 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 339.11 take away 201729144?\nAnswer: -201728804.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 - 5560\nAnswer: -5560.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 853 divide 17836887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from kmmakmkkkkmkmmammada.\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = -8*z + 12 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gmgm when four letters picked without replacement from mmmmcmpcmmmgm.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of -73*b**2\/2 - b - 2. Let m be f(-1). Is ((-1)\/(-2))\/(2\/m) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 37823168?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0107 + -2.0993. Let h = p + 4.11. Which is smaller: 0 or h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-5 + sqrt(147)))**2.\nAnswer: -280*sqrt(3) + 688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 402664539 to the power of 1\/2, to the nearest integer?\nAnswer: 20067","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.1, -1\/6, 12097?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -13144020 divided by -5\nAnswer: 2628804","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -727.2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o - 350 = 5*o. Does 9 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 48.94 (b) 2\/7 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -278*r - 45. Is k(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -11*w + 2. Let g = -2 + 7. Suppose 16 = -g*y - 19. Let v(k) = k - 3. Let t be v(0). Let h(r) = 5*r - 1. Determine t*b(p) + y*h(p).\nAnswer: -2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5714012\/7 - 817796. Let c = y + 1502. Find the common denominator of (1 - (-1185)\/350) + 6\/(-21) and c.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21626 is divided by 3603.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -50 + 197\/4. Which is the third biggest value? (a) 2\/5 (b) 0.2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 2*n - 66 = 0, 0 = -4*n + 2*n - 6. Suppose t = -4*i - w, -5 = -3*t - i - i. Solve 19 = t*f - 2*c, -5*c = -f - 4*f + 10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 6*l**3 + l**2 - 44*l + 9. Let v(x) = -x**3 + 8*x - 2. Let a(n) = -11*v(n) - 2*z(n). What is a(-3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/10 - (-8)\/70. Let m = -211 - -213. What is the second smallest value in 0, t, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11110011000111111 (base 2) to base 6\nAnswer: 2400143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*(i**6*i)\/i)*i**(1\/26))**(2\/21) assuming i is positive.\nAnswer: i**(-155\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -50*v + 49*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 PM and 11:11 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(68) + 1 + sqrt(68) - sqrt(68))*2 + 1 + 0 + 5 + -4)**2.\nAnswer: 40*sqrt(17) + 297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.14 and 0.1?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54681970 divided by 3905855.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 4. Let i be (2\/(-4))\/((-1)\/(-2)). Let s be i\/(18\/10 - j). Solve -s*z = 2*b - 0*b - 2, 4*b = 3*z + 4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 7 = -4. Suppose c*d - 1376 + 122 = -5*u, 5*d = -u + 242. What is the highest common divisor of u and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*l = -16*l + 2*p, 5*p - 1 = -3*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -48*q + 195 + 1101 for q.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 8 = 3*d - 0*t, 8 = 2*d - 2*t. Suppose -16 + 18 = d*r. Let p = 1 - 0.6. What is the closest to 0.1 in 4, r, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1094870 and 130?\nAnswer: 14233310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -108*y - 1. Give t(-2).\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6985368?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 816, 389, -396, -1599, -3280, -5499?\n\"Answer: -10*c**3 - 119*c**2 + 945","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10*3 - (11 + -14). Suppose 0 = 2*x - 4*a - 80, x - 35 = -5*a + r. Let u = 0 + x. What is the highest common factor of 12 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 13*p. Let c(j) = -3*j + 1. Let h(v) = -18*c(v) - 4*t(v). Let n(z) = 6*z. Give h(n(g)).\nAnswer: 12*g - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 AM and 10:40 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 10504 = 4*v, 5*v = 382*j - 378*j + 13127. What is the highest common divisor of 71 and v?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/40 and 77\/2356?\nAnswer: 23560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112 = 5*i - 14*j - 8*j + 31, -i = j for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 PM and 4:24 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 218201471?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -369443 and -0.0957?\nAnswer: 35355.6951","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 + 13 - (65 + 1) - (-15 + -1).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -598349.213 to the nearest ten thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1082.5 - -1082. Which is the smallest value? (a) 0 (b) 0.2 (c) 0.08 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -205976116*k + 279764866 wrt k.\nAnswer: -205976116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 67457432 to the power of 1\/2, to the nearest integer?\nAnswer: 8213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1268 (base 16) to base 2\nAnswer: -1001001101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.34795 + 6.34. What is r rounded to three dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 870 - 13925\/16. Calculate the common denominator of n and (-207)\/155 - (70 + (-351594)\/5022)\/((-2)\/12).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2664)\/240 - -11)*-1?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37*-0.3.\nAnswer: -11.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -3*i - 85. Determine m(-31).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/40 of a kilometer?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -3*z - 2*g - 504, -5*g + 152 = -z. Let p = 160 + z. Let n(w) = -14*w - 7. Let b(d) = -7*d - 4. Determine p*b(r) + 4*n(r).\nAnswer: -7*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.721 - -50.608.\nAnswer: 52.329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23 + 20. Let g(r) be the second derivative of -r**5\/10 - r**4\/4 + r**3\/6 + 3*r**2\/2 - 5*r. Does 27 divide g(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*t + 25*t + 12*t.\nAnswer: -7*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l*l\/l**(-21\/2)))**(-16)\/(l**(-23))**(-12\/7) assuming l is positive.\nAnswer: l**(1124\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -27*r + 23. Let g(i) = 1. Let f(o) = 3*o**3 + 3*o + 7. Give r*f(t) - 5*g(t).\nAnswer: 3*t**3 + 3*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20942, -41761, -62428, -82937, -103282, -123457, -143456, -163273?\nAnswer: -182902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1425120 and 83440?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 14*u**3 - 12*u**4 + u**3 - 16*u**4 + 4*u**5 - 15*u**3 = 0.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 9:26 PM?\nAnswer: 7:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*w + 37 = 84*w + 5*s, 5*w - 10 = s for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/27*8)\/(260\/(-234)). Sort -427, -4, l in descending order.\nAnswer: l, -4, -427","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of -2*s**5\/75 + 107*s**4\/20 - 16*s**3\/3 - 195*s**2 + 2. Factor d(i).\nAnswer: -2*(i - 80)*(4*i - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 - 10*z - 12. Let n be c(-8). Let p = -4 + 6. What is the third derivative of -1 - p*o**n + 1 - 2*o**2 wrt o?\nAnswer: -48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3815, 3816, 3817, 3818?\n\"Answer: t + 3814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5 = 13. Let k be (4\/u)\/(12\/(-54)). Does -1 = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 477.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a millimeter in micrometers?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - 28. Let v = w - -25. Suppose 6*h - 210 = -5*x + 2*h, -84 = -2*x - 2*h. Calculate the remainder when x is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209 = -5*z + k + 223, 0 = 2*z - 5*k - 1 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-6))\/((-320)\/(-40))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 10:10 AM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -920 - -916. Suppose -4 = -2*u - 6. Let o be u\/(-2)*(-6)\/(-3). Which is the fourth biggest value? (a) -1\/4 (b) -2\/9 (c) v (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8166113, -11, 0 in ascending order.\nAnswer: -11, 0, 8166113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-154)\/(-63) - 3)*(32\/40 - 2)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -6. Suppose h*q - v - 165 - 7 = 0, 2*q - 5*v - 106 = 0. What are the prime factors of q?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 361?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.011 (b) 0.2 (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.1, -3, 2, 5\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-52)\/(-39)*(-6)\/2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1500\/(-650) + 1683\/780.\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of -2*y + 2\/3*y**3 + 11 - 5\/2*y**2. Let o(f) = -f**2 + 2*f + 1. What is -6*d(r) - 14*o(r)?\nAnswer: 2*r**2 + 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10052870*f + 34654938 wrt f.\nAnswer: 10052870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18964 + -18964.1. Let w = 0.2 + -0.24. Let g = w - 0.36. Sort g, b, 1 in descending order.\nAnswer: 1, b, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -215*n - 610*n - 370*n - 1.\nAnswer: -1195*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.7? (a) 1.27 (b) 2\/5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*q - 12*q = 9*q + 35 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 39 = -m + 4*q, 3*m - 162 = -3*q. What is the remainder when m is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 3*u + 1. Let x be -4 - -6 - 0\/(-3). Is x at most as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2 - 8*t + (-1 + 4 - 2)*(-3*t + 3 - 3) + 4*t + 7*t - t to a + d*t and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(2*(sqrt(171) - sqrt(171)*-2 - sqrt(171)) - (sqrt(171) + (sqrt(171) + sqrt(171) + 0)*-5))*2*-5)**2 + 4 + 0.\nAnswer: 72247504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 806724?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-2))\/(1\/((-25)\/(1125\/(-510)))).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7 + ((-4553)\/290)\/((-12)\/(-5)) and 1\/51?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u**3 + 29*u**2 + 11*u + 13. Calculate q(15).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of -d**4\/4 - 5*d**3\/3 + 3*d - 4. Let j be c(-5). Suppose -z + 26 = 5*v, z + 4 = 4*v - j*v. Solve -3*h + z = -11 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -3 + (-1 - -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -72105409, -72105420, -72105431, -72105442, -72105453?\n\"Answer: -11*i - 72105398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1832\/9 or -204?\nAnswer: -204","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 33515608?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1837 + -4?\nAnswer: -1842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*s + 18*s - 46*s + 19*s.\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 225?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 219 = 4*u, 5*u = 4*x - 50 + 325. Let o = -51 + u. Suppose o = -7*s + 4223 + 3596. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-22)\/44*(3 + 1)\/(-2). Which is the closest to n? (a) -1\/5 (b) -2\/11 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j. Let r(g) = 5*g**2 - g. Let a be r(1). Let l(x) be the second derivative of -x + 0 - 1\/6*x**a + 0*x**2 + 0*x**3. Determine l(n(y)).\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 247, 600, 963, 1342, 1743?\n\"Answer: x**3 - x**2 + 349*x - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 24 = -6*l. Calculate the highest common divisor of 6 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2948 - 2953.123. Let y = n + 0.123. Let i(v) = -v**2 + 8*v - 9. Let g be i(7). Which is the smallest value? (a) -4 (b) g (c) -6 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**4\/5 - 24*d**3\/5 - 36*d**2 - 80*d.\nAnswer: -d*(d + 4)*(d + 10)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/134115 and 29\/268230?\nAnswer: 268230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -203 + -33300103130?\nAnswer: -33300103333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nvv when three letters picked without replacement from {i: 1, v: 2, f: 1, b: 4, n: 2, y: 2}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - -4 - (-10)\/(-5) - (-35 + 20). Let b(l) = -5*l + 81. Determine b(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, g: 2, v: 2, i: 1}. Give prob of picking 1 s, 1 i, and 2 v.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-10)*5\/(-6)*-15.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + -23?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32289836.\nAnswer: 2, 2281, 3539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (54 - 15 - 26) + (-4 - (-1 + 2))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4906 - 78513\/16. Find the common denominator of ((-51)\/75)\/((-4)\/30) and v.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 8) to base 16\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.38 (b) 9 (c) 1\/2 (d) 229\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3903, 333, 22 in descending order.\nAnswer: 333, 22, -3903","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45*16\/144*(-6)\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1181 in 0.02, -3, -1.8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -0.5 (c) -473 (d) -4\/35 (e) 3\/5 (f) -1.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m + 2. Let a = -1 + 3. Let k(w) = -5*w + 9. Let c(z) = a*k(z) - 9*s(z). Let q(g) = g**2 - 2. Determine 2*c(d) - q(d).\nAnswer: -d**2 - 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 - -27. Let y be ((-1)\/(-2))\/(3\/(-12)). Let m = y + k. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 80438456 and 70383649.\nAnswer: 563069192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a**2*y**2*z - 104*a**2*y**2 + 3*a**2 + 28850*a*y**3*z - 2*y**3 + 254*y**2 wrt z.\nAnswer: -a**2*y**2 + 28850*a*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-306)\/(-48) - 6 - 201\/24. Let v(q) = -2*q**2 - 24. Let x(c) = c**2 + 15. Let g(p) = j*x(p) - 5*v(p). Let k(y) = 2*y + 22. What is k(g(d))?\nAnswer: 4*d**2 + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 - 2*t - 2. Let f(v) = -3*v**2 - 13*v - 14. What is f(d) - 2*j(d)?\nAnswer: -d**2 - 9*d - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/6 (b) -8 (c) 40 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000223139 rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1284329 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -756384604 minus 900?\nAnswer: -756385504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-18))\/(21\/63). Which is the nearest to -0.3? (a) k (b) -0.3 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = -4, 4*n - 5*z = 9*n - 20 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3124 divided by 1562\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1001 + -1)*17808\/3. Let b be (150\/7)\/(4\/q). Round b to the nearest one million.\nAnswer: 32000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - w - 516 = -508. Put -409, -1, 2, w in ascending order.\nAnswer: -409, -1, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -4, 2, -5, -1, -5926 in decreasing order.\nAnswer: 2, -1, -4, -5, -9, -5926","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 15, 67, 155, 279, 439?\n\"Answer: 18*w**2 - 2*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.1151 + -0.1151. Let i = 5 - 8. Let v = 0.1 - 0. Which is the closest to v? (a) 0.1 (b) r (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8248537\/326 + 25302. Calculate the common denominator of y and -47\/9.\nAnswer: 2934","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23.4 - 23. Let s = -2351.1 - -2350. What is the smallest value in -1, q, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w**3 - w**2 - w - 4. Let p be h(2). Let u be (p\/4 - 0)\/((-25)\/200). Suppose -u = -44*r + 43*r. List the prime factors of r.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*y - 12*y = 0, y + 5 = g. Find s, given that s**5 - 104*s**4 - g*s**5 + 100*s**4 + 8*s**3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-9)*(-2)\/(-2))\/(41\/(-171462)*17)\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 2:40 PM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-15) + 140\/75?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-36 - 4) + 18 + 10 - (7 + 1)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15*i**4 + 5*i**3 - 599*i**2 - 276637*i.\nAnswer: -180*i**2 + 30*i - 1198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34496 and 20344.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7188743453 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 711001635?\nAnswer: 3, 5, 47400109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1328 + 1328 - 2*w**3.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -286*b**3*u**3 + 712388*b**3*u**2 - 46561259*b**2 - b*u**3 wrt b?\nAnswer: -1716*u**3 + 4274328*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 3 + 16*t**2 - 4 + 0 - 6*t - 17*t**2 + 2. Suppose 0 = 3*i - 2*j + 10, 5*i + 25 = -j - 4*j. Determine x(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r - 150 = -u - 158, 5*u + 2*r + 7 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/184 and 49\/230?\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - 0 - ((-27 - -39) + -21).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1847327 divided by 1.\nAnswer: 1847327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 3555031?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -1\/3*k**2 + 110\/3*k - 3025\/3 = 0.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + g + 2 - 60, 5*p - 4*g = 308. Calculate the highest common divisor of p and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/(-18))\/(-6*2\/(-20))\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -132*w**2 - 8*w**2 - 1180 + 1103 wrt w.\nAnswer: -280*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2309 - 2178?\nAnswer: -4487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w - 1. Suppose 0 = m - 0*m - 5, 0 = 5*q + m + 5. Let l be d(q). Solve -3*x + 9 = 3*n, -l*x + 0*n + 2*n - 11 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -55.01746 * 1\nAnswer: -55.01746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.14 + -10.14. Which is the third biggest value? (a) -1 (b) s (c) 3 (d) -2\/55 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 299877 by -4.\nAnswer: -299877\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.5? (a) -2 (b) -3 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4\/5, -12, -14\/15, 4, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fy when two letters picked without replacement from wfnfynyjnnnn.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -18 and 0.4162?\nAnswer: -7.4916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 5483199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) 185.1 (b) -3 (c) 79\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 253 is divided by 144?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -5, -0.2, 0.025, 5, -28?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48581 is divided by 9696?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 248645893 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-20)\/7*(3 - 4\/(-8)). Let w be (24\/(-6) - 1754)*b\/(-6). Round w to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 2\/21 (b) 4.2 (c) 5\/2 (d) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence woww when four letters picked without replacement from ooowwpwww.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-38 + 7 - (-10 - -11)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 1. Let v = 0 + p. Let w = -0.2 + -0.3. Sort v, w, -1 in increasing order.\nAnswer: -1, w, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 361418?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/11, -285946, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2504010?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_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: Two letters picked without replacement from vvxqmyyqvxvmdxyvvx. What is prob of picking 1 m and 1 q?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20114 and 4806?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.1 + -0.8. Let z = 48 - 24. Let n = z - 26. Sort y, 5, n in descending order.\nAnswer: 5, y, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 83624.\nAnswer: 418120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -9 + 2*s - 3*s + s - s. Let d be c(-9). Find the third derivative of -6*o**6 + d*o**2 - o**2 + 5*o**2 + 13*o**6 wrt o.\nAnswer: 840*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of -7*p**5\/15 + p**4 + 4*p**3 + 764*p**2. Let g(i) = -i**2 + i + 1. Calculate -120*g(j) + 5*k(j).\nAnswer: -20*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.47 - 12.53. Which is smaller: r or 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -12348, -21075, -29792, -38499, -47196?\n\"Answer: 5*k**2 - 8742*k - 3611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m*m\/(m*m\/(m\/m**0*m*m*m)))*m)\/(m\/m**(-8)))\/(m**6\/m*m\/(m**(4\/3)*m)))**(2\/41) assuming m is positive.\nAnswer: m**(-88\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*((-1 - 0) + 2). Which is greater: -1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + 49*y**2 - 2863*y + 1400. Give l(34).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-9)*s*(s*s*s**10*s)\/s*(s\/(s\/s**(-2\/7)))\/(s**(-2\/9)*s*s) assuming s is positive.\nAnswer: s**(122\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 242626 (base 8) to base 3\nAnswer: 11020100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20 - 12304?\nAnswer: -12234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 3 = 7. Let z be (1\/u)\/(4\/24). Suppose z*o - m = 11, -4*m - m - 7 = -3*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p - 1. Let y be q(1). Suppose -3*b = -4*s - 3 - 2, 0 = 2*b + 5*s - 11. Solve -3*u - 10 = -b*w + w, y = -3*w - 3*u for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0178429 rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 38.23 + -44.842. Let g = 85.6 + -79. Let n = y + g. What is n rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -1 + ((4*sqrt(65) + sqrt(65))*3 + sqrt(65))\/(sqrt(5) + sqrt(35)\/sqrt(7)*-6 + sqrt(5))*-1.\nAnswer: -1 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.09778240057 to four dps.\nAnswer: -0.0978","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-39*o + 12*o - 38*o)*(-1 + 2 + 1) + 5*o + 5*o + 0*o)*(5 - 1 - 2) to the form x*o + g and give x.\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25)\/(155*490\/(-282534))?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -980491.1426 rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**3 - t**3 + 4*t**3)*(-3*t + t + 0*t) + (4*t**3 + 7*t**3 - 2*t**3)*(t + 0*t - 3*t + (1 - t - 1)*(-2 + 2 - 1) + (0 + 0 + 2*t)*(3 - 7 + 2)).\nAnswer: -53*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 + 0.4. Suppose -35*x - v + 3 = -31*x, -4*v = 7*x - 12. Let u = -2.6 - -0.6. Which is the third smallest value? (a) x (b) h (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 451 - 319. Suppose 3*t + 0*t = k. Let n = -25 + 36. What is the highest common divisor of n and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*l**2 - 16*l + 16*l)*(1465*l + 1014*l - 1455*l + 1644*l) as n*l**2 + x*l + w + f*l**3 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 326*t**3 - 77*t**3 + 1358 - 1353.\nAnswer: 249*t**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that l**5\/4 + 642*l**4 - 46655*l**3\/4 - 138441*l**2\/2 - 116393*l - 59478 = 0.\nAnswer: -2586, -2, -1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 - 20. What is the remainder when 27 is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/351)\/((3\/3)\/2)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 850421 is divided by 7661?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/96 and -109\/80.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of -s**6\/120 - s**5\/12 + s**4\/12 + 5*s**3\/6 + 5*s**2. Calculate l(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a millennium in months?\nAnswer: 40000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22001515 to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**5\/5 - 40*f**4 + 6712*f**3\/5 + 341184*f**2\/5 + 1277712*f\/5 + 1247616\/5 = 0.\nAnswer: -24, -2, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7108206 is divided by 40.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 7 = i, -4*i - 3*a - 1 = -6. Let l be i\/(-3)*(-1)\/((-4)\/72). Calculate the common denominator of -85\/4 and (-15)\/l - -2 - (-1)\/(-16).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h = 2*h + 110. Is 21 greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228) - -2*(sqrt(228) + -3*sqrt(228)))\/(sqrt(12) - (sqrt(12) + (sqrt(12) + 3*sqrt(84)\/sqrt(7) - sqrt(12)) - sqrt(12))))**2 + -3.\nAnswer: 159\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 73*p - 12. Let t(j) = 73*j - 10. What is 5*g(o) - 6*t(o)?\nAnswer: -73*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18? (a) -3 (b) -1\/602 (c) -5 (d) 0 (e) -48\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 AM and 4:12 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**3 - 250*n**2 - 4240*n - 15360.\nAnswer: 5*(n - 64)*(n + 6)*(n + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -173*q + 174*q + 5*b - 24, -10 = -5*q - 3*b. What is the smallest value in 32\/5, -0.3, q, 0.5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m**2 - m**2 - 80*m + 80*m + 1.\nAnswer: -m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13 - -11453?\nAnswer: 11510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of -t**9\/504 + t**8\/420 + t**7\/420 - 40*t**3\/3 - 45*t**2. Let d(l) be the first derivative of m(l). Factor d(z).\nAnswer: -2*z**3*(z - 1)*(3*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 921447?\nAnswer: 3, 43, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(-6) - 2\/(-3). Let b(k) = 1064*k - 8 - 2 - 1060*k + 0. Let g be b(x). Put -5, g, -8 in increasing order.\nAnswer: -8, -5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 184059625 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 323*f**2 + 22*f wrt f?\nAnswer: 646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1692846 + 1692842.000004. Let p = 4.1 - 0.1. Let v = p + j. What is v rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1412130723856 from 0.48.\nAnswer: -1412130723855.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 50637*c**3 + c + 20098 wrt c?\nAnswer: 303822*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 4*p + 7 = -6, 2*p = -4*l + 38. Let v = 9 - l. Solve z = -v*z - 9 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of k**7\/420 - 11*k**6\/180 + 2*k**5\/3 - 4*k**4 - 2*k**3\/3 - 10*k + 74. Let o(i) be the third derivative of r(i). Factor o(x).\nAnswer: 2*(x - 4)**2*(x - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-75 - 2*k - 79 + 160)*(-17*k - 4*k - 5*k) to g*k**2 + v + t*k and give t.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 96 + -95. Is -1\/9 bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3586 (base 12) to base 2.\nAnswer: -1011101110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 129243 to the nearest ten thousand.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of l**3\/3 - 4*l**2 - 34*l - 46. Let m(h) be the first derivative of r(h). Let y(w) = 3*w**2. Determine m(y(f)).\nAnswer: 6*f**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97664647.\nAnswer: 23, 59, 71971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 - 7*o**2 - 2*o - 19. Let m be s(-6). Let n = -38 - m. Suppose -n*q - 242 = -k - 1582, -2*q = -3*k - 549. What are the prime factors of q?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 5*p - 3*p. Solve q + 4 = -f, -5*f + 10 = -q - p*f for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -4*p + 18 - 44 - 45 - 9*p + 2*p. Calculate the lowest common multiple of 28 and o(-13).\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 35\/20*(-13 - -1). Let l = 6 + -13. Let h = l - g. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 45*a**2 + 23*a**3 + 157*a**3 + 4 + 22*a**3 + 35*a**3.\nAnswer: 237*a**3 - 45*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 978810 and 1350.\nAnswer: 44046450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 338.7022ml to litres.\nAnswer: 0.3387022","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b. Let o(c) be the first derivative of -c**6\/90 - 4*c**3 + 10. Let p(q) be the third derivative of o(q). Determine j(p(g)).\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1580*h + 96*h + 3 - 6 + 0 + 3)*(-6*h**4 + 4*h**4 + h**4).\nAnswer: -1676*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {d: 3, g: 10, y: 2}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 154*i - 149*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 - 5*c**2 - 6*c - 6. Let u be f(-4). Suppose u*o - 2 = o. What is the tens digit of (1 + -3)*(-12)\/o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 2\/17 (c) 0.4 (d) -22 (e) 4\/177 (f) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a = -12*a - 55. Let k be (1 - -3)\/(a - -13). Suppose -2*y - 638 = -2*g, y - k*y = -5*g + 1587. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24681 * 0.14.\nAnswer: 3455.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 169151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -31627.11 * -7\nAnswer: 221389.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 3 (b) -2\/9 (c) 4 (d) -4\/9 (e) -1\/6 (f) 879\/56\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 27 (b) 2\/101 (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12355050 (base 7) in base 10?\nAnswer: -1123017","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2109\/4 - -18863\/36. Let g = -1\/5143 - 622291\/61716. What is the common denominator of g and p?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1816 and 177224?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96523 is divided by 152.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 3) to base 16.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*a + 7*a - 21*a + 210 = 0 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 1\/2565?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 4*n - 15. Let y(u) = -3*u + 13. Let f(m) = -5*l(m) - 6*y(m). What is f(4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 3 x when four letters picked without replacement from {x: 6, a: 2}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 16d5 - 8?\nAnswer: 16cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*g - 33*g + 5*g - 21*g**2 - 14*g in the form r + h*g + w*g**2 and give h.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n - 5. Let m be d(0). Sort -1, m, -2 in decreasing order.\nAnswer: -1, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/sqrt(3) + 1 - (sqrt(11) - sqrt(22)\/sqrt(2))*-3.\nAnswer: 1 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.5597058 rounded to three decimal places?\nAnswer: -12.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6634588 to the power of 1\/2, to the nearest integer?\nAnswer: 2576","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-35*u + 18135 - 122*u - 18132)*(u**2 + 4*u**2 - 3*u**2) to g*u + y*u**2 + t + l*u**3 and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 246790.\nAnswer: 2, 5, 23, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1134\/378*(-31)\/(-3)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2 (b) -15 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 + 8*p + 5. Suppose 14*f = 10*f + 32. What is the smallest common multiple of z(f) and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d and 1 p when four letters picked without replacement from pdpppplpdpbpbpbbdppp.\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 68 = -2*t - 88, -3*q + 244 = 2*t. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2265306.56 to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of 0 + 1\/3*p**3 + 5*p + 3*p**2. What is the derivative of b(k) wrt k?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 812540 is divided by 166.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, 10, 44, 90, 148, 218?\nAnswer: 300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.7757 + -30.1723. Let o = h - -31. Round o to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**2 - 171*h + 918.\nAnswer: 3*(h - 51)*(h - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0078759807 to four dps.\nAnswer: 0.0079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v + 5. Let g be d(6). Let p(a) be the second derivative of -1\/2*a**2 + 1\/4*a**4 - 1\/6*a**3 - 3*a + 0. What is p(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.65 + 124.85. Let p = z - 144. What is p rounded to the nearest integer?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a milligram in micrograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 77063a (base 14) in base 2?\nAnswer: 1111011001000101011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/5)\/((-2)\/(-10)). Let f = -63 + 106. Let s = -40 + f. Which is smaller: q or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/((c**(-1\/2)\/c)\/c))**(-5\/6)\/(c*c**(6\/5)*c**0\/c) assuming c is positive.\nAnswer: c**(-247\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 4*h + 3*s - 3099985, -6199980 = -4*h - 4*s. Round h to the nearest one hundred thousand.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1468*y + 22603 + 104755 - 36342 = 0 for y.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 87 = 2*k. Calculate the remainder when 114 is divided by k.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -91 - -91.0227. What is v rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p + 2*b, -181 = -4*p + 3*b - 185 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 4*u = 0, -3*x - 2*u + 27 = 3*u. Suppose 2*b = 5*b + a - 6, b - x*a + 11 = 0. Which is smaller: 2\/9 or b?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (363\/(-110))\/(9\/(-60))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 21*t - 1. Let w(y) = 2*y - 5. Let d(b) = 2 - 1 + 1 - 1 + 0. Let m(g) = 5*d(g) + w(g). Determine c(m(i)).\nAnswer: 42*i - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 834*v**2 - 2906496\/5 + 1444896\/5*v + 3\/5*v**3.\nAnswer: 3*(v - 2)*(v + 696)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5578524769?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-27)\/2*832\/(-96) a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a tonne in kilograms?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 + -21. Suppose -21 = d*h - 26. Let m be 6 + -2 + h*(-6)\/(-3). Let v(q) = q**3 - 7*q**2 + 8*q - 9. Calculate v(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x**3 - x**2 - 1. Let p be (-1 - (-1 + 1)) + -2. Is d(p) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 360\/168 + 1\/(-7). Suppose -7 = -t + w - 6*w, w + d = 0. Is t a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u - u**2 + 1 - 2*u**2 + 2*u**2 - 2. Let n(i) be the third derivative of -7*i**5\/60 - 5*i**4\/24 - 7*i**3\/6 - 2*i**2 + 39. Calculate -6*h(a) + n(a).\nAnswer: -a**2 + a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/27*(-4)\/(-2)*-3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence veev when four letters picked without replacement from vlbllevvvbbvevl?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2231920 is divided by 743965.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 10 = -r. Let w be (8 - -4 - 8)*1\/(-1). Let s be ((-270)\/40 - -7) + (-679)\/w. Calculate the greatest common factor of r and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -1212*r**5 - 999*r + 4229. What is the derivative of g(m) wrt m?\nAnswer: -24240*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3 + (1*(-1*sqrt(84) + sqrt(84) - sqrt(84)))\/(sqrt(700) + 1*sqrt(700) + sqrt(700) - sqrt(7))).\nAnswer: 8*sqrt(3)\/29 + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -14*z**2 - 2*z + 3*z**2 + 0*z**3 - 14 - z**3. What is the remainder when 20 is divided by y(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ga when two letters picked without replacement from {g: 5, a: 7}?\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 10:32 AM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 11728940317 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*f - 2*f + 5*f + (-3*f + 2*f - f)*(-3 + 2 - 1) + 0*f + 2*f - 2 + 2*f.\nAnswer: 7*f - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2700?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q**3 - 16*q**2 + 21*q + 84. Let y(t) = -2*t**3 - 14*t**2 + 20*t + 86. Let b(i) = 2*u(i) - 3*y(i). Solve b(m) = 0.\nAnswer: -5, -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) 2 (c) -0.18 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 349, 13, 5, 14, -3, 1, 0 in ascending order.\nAnswer: -3, 0, 1, 5, 13, 14, 349","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -1136470?\nAnswer: 1136471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + r - 324 = 0. Suppose 4*q = 256 + r. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 48094?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dka when three letters picked without replacement from adbnbkdkj.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k**2 - 14*k - 27*k + 0*k - 22*k.\nAnswer: -k**2 - 63*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-45) + (-94)\/(-30). Suppose -l = z - 7. Suppose 5*j - 16 = l. What is the lowest common multiple of 24 and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*j + p + 30 = 14*j, 0 = -p + 5 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/19 in 0.01, -1\/6, -8, 26, 0.2, 0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 11374081?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -6. Let t be (2 - 0)\/(-2) + f. Solve -t = -g + 2 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 86, -1\/6, 9, 3\/4, -1 in descending order.\nAnswer: 86, 9, 3\/4, -1\/6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 34657853 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*u**3 + 7*u**3 - 3*u**3 + 3*u**3 - u**3 - 4*u**3 - u**3 + 1 - 1 - 2*u**3 - 2*u**3 + 3*u**3 + (0 + 2*u**2 + 0)*(u - 3 + 3) + 0*u**3 + 0*u**3 + u**3.\nAnswer: 12*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -178\/3, -2, -1.2, 46, 0.14 in decreasing order.\nAnswer: 46, 0.14, -1.2, -2, -178\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -9613 divided by -9613?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/11 - 80*m**2\/11 + 56*m + 352.\nAnswer: 2*(m - 22)**2*(m + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/3, -0.08, -2\/9, 50, -0.026.\nAnswer: -2\/9, -0.08, -0.026, 5\/3, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wky when three letters picked without replacement from {y: 1, h: 3, w: 3, l: 4, k: 8}?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -53849781?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 64451 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - -10)*-2 - 3. What is the units digit of r\/(-6) - (-2)\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j - 8, -3*r - 20 = 3*j - 17 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 25*s**2 - 26*s + 8. Give k(-26).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2017*f**2 - 1047*f**2 - 1045*f**2.\nAnswer: -75*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-4029)\/612 - (-1)\/(-2) and 97\/464?\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-72)\/16)\/(3 - 45\/12). Suppose l*d = 4 + 14. Solve d*q - 4 - 8 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -2228 (b) -1\/7 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 411838 is divided by 132.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z + 4*z + 2*z - 3*z - 2.\nAnswer: 3*z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2269*a - 2781807. Determine z(-1226).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05958 to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**16*q**(-6))**(-4\/11) assuming q is positive.\nAnswer: q**(-40\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (3 + 54\/30)*(-10)\/(-3) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13\/(286\/(-11)))\/(-2*(-2)\/(-152)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 17*o - 5. Suppose 7*b = 3*b + 8. Is n(b) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/5 of a minute?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 125101 (base 6) in base 14?\nAnswer: 4285","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -99245*b. Let q(x) = x - 107. Calculate g(q(w)).\nAnswer: -99245*w + 10619215","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 67 - 64. Let b = 130.3 - 130. What is the fourth smallest value in -3, j, 2\/7, b?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3363512*l**4 - 1230*l**2 - 20*l - 2 wrt l.\nAnswer: 80724288*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1818343293.\nAnswer: 3, 13, 197, 311, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -14932c + -1b?\nAnswer: -14934a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*o + 9*o + 28*o + 880 = 0 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 61*w**2 - 7*w. Let o(p) = -25*p. What is o(k(z))?\nAnswer: -1525*z**2 + 175*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 300651?\nAnswer: 3, 13, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p + 7*p - 9807 + 9772. Solve 4*w = 4*x + 5 - 17, w = p*x + 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n - 15*n - 2*n**2 - 112 + 0*n**2 + 114 + n**3 to the form o*n + k*n**3 + w + u*n**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -1\/21, -0.1, 734?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*f = 151 - 37 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 11038.7, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -78.8 - -72. Let g = -0.8 - y. Is -1 smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2862 and 1347.904062.\nAnswer: 4209.904062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7543169 grams in tonnes?\nAnswer: 0.0000007543169","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2995434 and 1768.\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 8*w**2. Let s(n) = -38*n**2 + 66. Determine s(o(p)).\nAnswer: -2432*p**4 + 66","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of 1\/12*u**4 + u**3 - 3*u - 3*u**2 + 0. Is m(-8) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*a + 65*m - 64*m + 12, 3*a - 4*m - 3 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1427 at most 677238\/475?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 981313 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000064006 rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21813728?\nAnswer: 2, 43, 83, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 + b + 1. Let n(o) = -o**3 + 3*o**2 + 2*o + 1. Let z(y) = 3*l(y) - n(y). List the prime factors of z(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/15345 and -37\/93?\nAnswer: 15345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 0.1, 2\/3, -0.06, 8?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(306)*-2)\/(sqrt(18)*5).\nAnswer: -2*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*d - 60*d + 46*d - 3 + 3.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 465 - 465. Suppose 0*m - 4*m + 4*h + 8 = 0, 3*h = 0. Let r be (-3)\/2*2\/(-8). Put q, r, m in descending order.\nAnswer: m, r, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 1 + 6)*(-2299*h + 649*h + 1261*h) to p*h + f and give p.\nAnswer: -1167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of -v**4\/24 - 2*v**2 - 716*v. Let c(x) = -1694*x**2. Determine y(c(j)).\nAnswer: 1694*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -2*k, -12*k + 15*k - 7 = 4*l. Let q be (166 - 145) + l\/2 + -5. Solve q + 18 = -7*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 202 = 4*d + q - 62, 4*q = -3*d + 198. Let f = 95 - d. What is the remainder when f is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 40 + 8)*(12 - 12 + 4*h**2).\nAnswer: 180*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 838\nAnswer: 1\/419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -1287*q + 6285*q - 509*q + 1132*q - 1 in the form c + n*q and give n.\nAnswer: 5621","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102 is divided by 36?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/2))**(-11\/2)*n**(-2\/11)*n**(-4) assuming n is positive.\nAnswer: n**(-305\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 598426 is divided by 2986?\nAnswer: 1226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 2\/7 (b) 0.3 (c) 2 (d) -2 (e) -8 (f) 58\/5 (g) 8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b + 19. Let l be z(13). Let q(g) = l + 49*g - g**3 + 2*g**3 + 4*g**2 - 52*g. What is q(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -17117, -17195, -17323, -17501?\n\"Answer: -25*z**2 - 3*z - 17089","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -11706, 42\/13, 0.1 in increasing order.\nAnswer: -11706, 0.1, 42\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16? (a) -2\/5 (b) -0.1971 (c) 94 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1488760 = -19*l + 10*l + 100*l. Does 28 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -313, -302, -269, -202, -89, 82, 323?\n\"Answer: 2*z**3 - z**2 - 314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/11976 and 99\/7984.\nAnswer: 23952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of 103*l**2\/2 + 182*l + 16. What is the thousands digit of w(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 7) to base 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -1751*s**2 - 1854. Let i(f) = 2*f**2 + 2. Calculate 1854*i(u) + 2*x(u).\nAnswer: 206*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3677018 to the power of 1\/3, to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is q in q**4 + q**3 - 10*q**2 + 8*q = 0?\nAnswer: -4, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2629.953 centuries?\nAnswer: 3155943.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 56 = -4*u - m, 0 = m + 2. Suppose 3*l = -u, l + 2*l = -n + 283. What are the prime factors of n?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 10:25 AM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 307 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 640\/(-32)*((-306)\/(-180)*2 + -6).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 4*x**4 + 53*x**2 - 9*x + 9. Let t(d) = -d**4 - 13*d**2 + 2*d - 2. Let l(z) = -2*c(z) - 9*t(z). What is the third derivative of l(f) wrt f?\nAnswer: 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 131244?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 6 = -q. Suppose 2*m - 4*r = -2, 0 = -4*m + q*r - r - 1. Suppose k - 3 = m. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 554526779 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 472*m - 3296. Let n be k(7). Let u(q) = -10*q + 65. Calculate u(n).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/48844 and -85\/52.\nAnswer: 634972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4032) + (sqrt(4032) - (sqrt(4032)*3 - sqrt(4032))))\/(sqrt(484) + sqrt(484)*4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*m - 220 = 52*m. Let s be (-2)\/(-18) + (-448)\/(-18). Suppose s*p - m*p = 30. Solve -o = -p*o + 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 140 (base 13) to base 7.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 1 - 6)*(0*f**2 + f**2 + 0*f**2).\nAnswer: -18*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(1 + 7420\/(-7412)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, u: 6, b: 1, z: 9}. Give prob of picking 1 b, 2 u, and 1 z.\nAnswer: 27\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1760 - 0)\/(-2) + -1. Let w = -5299\/6 - b. Let p = 1\/656 + 11643\/656. What is the common denominator of p and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25*-2\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (39\/((-4875)\/1400))\/((-21)\/30)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2112) - (sqrt(2112)*-2 + sqrt(2112) + sqrt(2112))) + -2*sqrt(33)*-1)\/((sqrt(110) - sqrt(110)*2)\/sqrt(10) - (-1*sqrt(1331) + sqrt(1331)))*6)**2.\nAnswer: 10800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41, -20, 25, 106, 235?\nAnswer: 424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - (84 + -107 + 2 + 8)) + -17?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -320184 divided by 6.\nAnswer: -53364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 3*n**3 + 50*n**2 + 16*n + 21. Determine g(-4).\nAnswer: 565","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 2. Let b be (-5)\/(o - (-10)\/11). Let r be 10\/(-45) - (-200)\/9. What is the highest common divisor of r and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56, -81, -128, -203, -312, -461?\nAnswer: -656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q - 11. Let v(k) = -k**3 - 6*k**2 + 6*k - 2. Let z be v(-7). Suppose -8 = l - 5*s, 0*s + z*s - 25 = 0. Calculate p(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -399334, -399276, -399206, -399118, -399006, -398864, -398686?\nAnswer: -398466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5654325796?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, s: 3}. What is prob of sequence ss?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*g**2*t**3 + 14588*g**2*t**2 - 22*g*t**2 + 180585*t**3 wrt t?\nAnswer: -18*g**2 + 1083510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 873 + -869. Factor 2\/5*h**d - 2\/5*h**2 + 1\/5*h + 0 - 1\/5*h**5 + 0*h**3.\nAnswer: -h*(h - 1)**3*(h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 1. Suppose -n*i + 15 = -3*i - 5*t, 2*i = -4*t - 6. Calculate the remainder when i is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23608240 to the nearest integer?\nAnswer: 4859","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -4) + (2 + -3 - (12 - 9))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 714, 2853, 6418, 11409?\nAnswer: 17826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + (-9)\/((-18)\/8). Suppose -q*y + 208 = 34. Calculate the remainder when 170 is divided by y.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (1*-5*sqrt(125)*2 + 2*(sqrt(125) - 2*(sqrt(125) + sqrt(125) + 0 + sqrt(125))))**2.\nAnswer: 50005","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 105922.97 to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 33481 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-1824)\/1368*(2\/(-32))\/((-3)\/(-30))\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 486 = -3*h + 1428, 5*h - 1570 = -d. Calculate the remainder when h is divided by 32.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7091476849 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 79322.1 to the nearest 1000.\nAnswer: 79000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 836 = 4*z + 5*x, 0 = 3*x - 2*x. Suppose t - 214 = -z. Solve -2 + t = r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = f - 2 + 8, 18 = -5*b - 2*f. What is the biggest value in -1\/12, -1\/5, b?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -5*a**2\/4 + 35*a\/2 - 50 = 0.\nAnswer: 4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 3. Suppose -1 - 7 = -2*s. Let d be 6\/s*(-12 - -10). Let g be ((-1)\/d)\/((-1)\/6). Let w(z) = 2. Calculate g*m(v) - 3*w(v).\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -25*(-14)\/28*28\/105\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -979, 22, -1\/55?\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-4 + (sqrt(2178) - (-3 + sqrt(2178) + 1))) - ((-6*(-1*sqrt(2178) + -4 + sqrt(2178)))**2 + 5).\nAnswer: -591","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17852\/17 - -1050. What is the nearest to i in -0.3, -1\/5, 10, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 - 4*g**2 - 3*g + 3. Let u be i(-3). Let k be (-2)\/(2\/(-2 - (5 - u))). Suppose k*j - j = 0. Solve n - 7 = 3*h - n, j = 5*h + 5*n + 45 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 27 = 6*z - z, z - 5*o + 13 = 0. Let r = -2.366 + 0.366. Which is the closest to 0? (a) z (b) 0.5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18584 and 184.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.93 + -0.07. Let p be 4\/6 - 6\/9. Suppose -3*o + 1 = i, 0 = -2*i - 3*o - p*o - 4. Which is the third smallest value? (a) i (b) -0.5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -83, -166, -249, -332, -415?\nAnswer: -498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 6\/(-4))*8\/14.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 3*b + 65012 = -0*c, -13020 = c + 5*b. What is c rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -22318 > -22318?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -83, 4 in descending order.\nAnswer: 17, 4, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6422 + 14589. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 31.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - (-4)\/(-2) - -1. Let n(p) = 2 - 9*p - 2*p**2 + 3*p**2 + z + 7*p. What are the prime factors of n(5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 41*k - 18*k + 1 - 17*k as u + c*k and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6794 and 4558.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**2\/3 - 11061194*k\/3 - 30587503176409\/3 = 0.\nAnswer: -5530597","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-6))\/(68\/(-306)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -u*v - 2106*u - 256*v - 2 wrt u?\nAnswer: -v - 2106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (6*(sqrt(204) + 2*sqrt(204)*-1 + (-4*sqrt(204)*-1 - sqrt(204))))\/(-3*(sqrt(12) - sqrt(432))*2).\nAnswer: 2*sqrt(17)\/5 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -28c3 (base 13) to base 4\nAnswer: -1130101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5285? (a) 1 (b) 9 (c) -2\/5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -4*t**3 + 147391488*t**2 - 1357765523536884*t - 2715531636639752 = 0?\nAnswer: -2, 18423937","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10360 and 4144?\nAnswer: 20720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, -5, 1194, -19, -4, 5 in decreasing order.\nAnswer: 1194, 28, 5, -4, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 267b (base 13) to base 6\nAnswer: 41302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 698905 and 16159?\nAnswer: 99943415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42183.\nAnswer: 3, 43, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 2:40 AM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 18\/2*946\/387. Let n(t) = -t**2 + 11*t + 5. Let v be n(7). What is the highest common divisor of v and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/80 and -79\/4064.\nAnswer: 20320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -28 - -35 - (36 - (14 - 29))\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 + 24. Suppose -p = -0*j - 2*j + 150005, k*j + p = 374995. What is j rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.3, -145, 2\/9, 14, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*l + 97*l + 113*l)*(0 - 4 + 2)*(l + 20*l - 4*l).\nAnswer: -8058*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 297*l**3 - 3*l - 38*l**3 + 0*l**2 + l + 0*l**2 to y + d*l**2 + k*l + r*l**3 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (148 - 169) + 34 + -7.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2813, -2815, -2817?\n\"Answer: -2*s - 2811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12.6 - 7.6. What is the fourth smallest value in -2\/17, f, -2\/3, -0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.06086 and -39.\nAnswer: -2.37354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000151 rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b*b\/b**(-8)*b)\/b))\/b)\/((b**(-7)*b)\/b)*(b**1*b)**20 assuming b is positive.\nAnswer: b**37","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-117)\/24*36\/99 and 18\/4*1\/(-5).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1685721 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 58*g - 58*g - 16*g**4 + (3 - 1 - 1)*(2*g**4 - 2*g**4 + 2*g**4) + 7*g**4 - 2*g**4 + 7*g**4.\nAnswer: -2*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r - 110 = -30. Suppose r*c = 5*c + 60. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 2*d = 400, -6 = 3*d - 0*d. Let o = a + 286. What are the prime factors of o?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7\/4 of a meter?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 5 = 1. Suppose 0 = n*q + q - 2*k - 12, 0 = -q + 4*k - 6. Let a(p) = 11*p**2 - 3*p**2 - q*p**2. Let m(r) = 2*r**2. What is m(a(i))?\nAnswer: 8*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, l: 2, u: 1, y: 1, e: 1, s: 2}. What is prob of picking 1 y and 1 c?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 85.6 + -85.3. Let v = 45.3 - 49. Suppose 2*l = -2*j - 2, 19*l = 3*j + 14*l - 29. Which is the biggest value? (a) w (b) j (c) -2\/3 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vkvccvcvvcvvkvvc. What is prob of picking 1 c and 1 v?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1238*c**3*i**2*m**2 + 2*c**3*i**2*m + 2*c**3*i - c**2*i*m**2 + 4*c**2*m**2 - 2*i*m + 19*i wrt i?\nAnswer: -2476*c**3*m**2 + 4*c**3*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 6\/2833?\nAnswer: 6\/2833","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 12) in base 16?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 3*g**2 - 46*g + 11. Let l(k) = k**2 - 23*k + 3. Determine -5*l(a) + 2*r(a).\nAnswer: a**2 + 23*a + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of d**6\/120 + d**4\/8 + d**3\/2 - 6*d**2. Let h(p) = 4*p**3 + 11*p + 11. Calculate -6*h(x) + 22*z(x).\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 37332.61 micrograms?\nAnswer: 0.03733261","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 0. Let p be 52\/(-91)*(-7)\/2. Let l be 1 + 1 - (2 - p). Which is smaller: l or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1841*q + 2046*q - 323375 + 66833 for q.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f + 5*o + 30 = f, -f + 3*o - 14 = 0. Let z = -11 - f. Is 13*(12 + -2) + z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1135 and 169.\nAnswer: 191815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 356*u**2 - 1166 - 1127 + 2294 to f*u**2 + y + g*u and give f.\nAnswer: 356","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 - 17*m + 5. Give s(-17).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 60827 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-20)*8\/(-10)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2\/11 (b) 6\/11 (c) 3.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 326 = -19*r + 104*r - 99. Solve r*h + 9*f - 6*f = -21, -15 = -5*f for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3926*o - 274*o + 2546*o as c*o + b and give c.\nAnswer: 6198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-165)\/8580)\/((-1)\/12) - (-1268)\/26\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11567 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -654*d - 2220 = -376*d - 339*d + 7113 for d.\nAnswer: 153","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2968 + -1722. Let z = -1246.000867 + r. What is z rounded to four dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-15)*3)\/(1*2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**3 + 50566*v**2 - 647045377*v + 196986232248 = 0. What is v?\nAnswer: 312, 25127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - (3 + -1)) + -1. Is 9 a factor of p - (1 - 75\/3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 4*a. Suppose 10 = 5*t + 5*o, 1 = -o - a*o. What is the highest common divisor of 3 and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17\/5 + -4. Let g = -0.415 + 1.415. Which is the third biggest value? (a) g (b) 19 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, -2, -4, 2643746, -0.07?\nAnswer: 2643746","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.09 - 634.089972\nAnswer: -633.999972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 5:02 PM?\nAnswer: 7:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 86*b**3 - 2*b - 1. Let n be u(-1). Let o = n - -171. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 5 (c) 1\/3 (d) -3005\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**5*s\/((s*s**(-5\/4)\/s*s*s)\/s)*(s*s**(-2\/5))**(-15)*((s**0)**(-2\/69))**41 assuming s is positive.\nAnswer: s**(-11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(72) + sqrt(72)*2*6)\/((sqrt(36) - (sqrt(108)*-3)\/sqrt(3) - sqrt(36))\/sqrt(4)))**2.\nAnswer: 5408\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**5*q*q**0)**38 assuming q is positive.\nAnswer: q**228","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -4*w**2 - 2*w + 1. Let o be k(1). Suppose -5*v - 4 = -14. Let s(l) = 23*l**v + l**3 - 39*l**2 - 7 + 3*l + 22*l**2. Give s(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-13)\/(-1) + -1*1. Let y = 26190 - 26158. Calculate the highest common factor of p and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 106*k**2 + 54*k**2 - 27*k**2 + 47*k**2 in the form r*k + j*k**2 + u and give j.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 1:31 AM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 662, 3490, 8162, 14678, 23038, 33242, 45290?\nAnswer: 59182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 126822, 126824, 126826, 126828, 126830?\n\"Answer: 2*r + 126820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of 15*p**3\/2 + 607*p**2\/2 - 12*p - 1. What is the first derivative of t(n) wrt n?\nAnswer: 45","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*y = 321*y + 141*y - 748 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 52 + -41. Let g(s) be the first derivative of -18*s**3 - 9*s**2 + 17*s**3 + 22*s**2 - q. What is the second derivative of g(u) wrt u?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 632.4583 centuries?\nAnswer: 6324.583","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 7333 = 7328 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17309 is divided by 1152.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -113 - -126. Calculate the highest common factor of 169 and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i. Let o(f) = -12*f**2 + 5*f - 1. Calculate 5*g(u) - o(u).\nAnswer: 12*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n**3 - n**2 + n + 2. Suppose -2*t + 2*s = -3*t - 16, -s + 82 = -4*t. Let a be (1 - -3)*(t\/8 - -3). Give p(a).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 AM and 3:51 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-99240)\/(84\/(-7)) - 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2\/4 - 153903*t\/4 - 13344147\/2.\nAnswer: -3*(t + 174)*(t + 51127)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -7*x + 37. Let y(z) = -3*z + 2. Let l(b) = q(b) - 3*y(b). Give l(-17).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/45*3)\/((-42)\/150)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7714*g = -2*v - 7710*g - 26, -3*g + 7 = -14*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 316, 4, 2, -718.\nAnswer: -718, 2, 4, 316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 30429 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 19813 from 0.0319.\nAnswer: -19812.9681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-3*(5*sqrt(468)*1 + sqrt(468)) + 3)**2 + (2 + -1 + sqrt(468) + 4 + 5)**2.\nAnswer: -528*sqrt(13) + 152204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((0 + 0)\/2)\/(-3). Let v be 1 + (l\/(-2))\/(-5). Let c(g) = g - 4*g**3 - 3*g**3 + 0*g**3 - 1. What is c(v)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30827 + -15881. List the prime factors of t.\nAnswer: 2, 3, 47, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**2 - 2*z. Let y(r) = 10*r**2 - 10*r + 12. Let j(v) = -4*v**2 + 4*v - 5. Let g(x) = -12*j(x) - 5*y(x). Give -6*g(h) - 5*o(h).\nAnswer: 2*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*c + 17 + 33 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 4.284813kg?\nAnswer: 4284.813","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32 - 113. Suppose -m + 6*x - 1 + 81 = 0, -3*x + 205 = 2*m. Let r = i + m. What is the remainder when 63 is divided by r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -35, -1, -140, 1 in ascending order.\nAnswer: -140, -35, -1, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a minute in milliseconds?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i**2 + 577592209 - 577592209.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75 = 17*u - 7 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 2 + 5 + sqrt(300) + 4 + -2 + sqrt(300) + -1)**2*3.\nAnswer: 960*sqrt(3) + 3792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1471480 - 1471480 - 2*t + 4*t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(104)*-2)\/sqrt(8) - (1*sqrt(1300) - sqrt(1300)))**2.\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120815764?\nAnswer: 2, 30203941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 PM and 1:22 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from phhojgy. Give prob of sequence yo.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-9)\/(-2))\/(-3))\/(((-731)\/344)\/17).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114) - -6*(sqrt(114) + sqrt(114) + sqrt(114)*1))\/(sqrt(72)\/(sqrt(36)\/sqrt(3)) + sqrt(6)) - (5 + (-1 + sqrt(304))**2 + 5).\nAnswer: -315 + 35*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*w + 5040 - 612 = -452*w - 1811 for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5\/3 (b) 1\/10 (c) 3\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 3*g + 3*n = 1558622, -7*n + 389693 = g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*i**3 - 478470*i + 8339568?\nAnswer: 9*i**2 - 478470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.85 + 4539194?\nAnswer: 4539173.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3716 (base 12) to base 9\nAnswer: 8460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 0*c. Let h(a) = -5*a**2 - 1 + 3 + 5*a + 6*a**2 + c*a**2. Determine h(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*j + 7528 = 328 for j.\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*h**2*q**3 + 2*h**2*q*w + h**2 + 3*h*w + 96*q**3*w + 71*q**2*w - 2*q - 49 wrt q.\nAnswer: -12*h**2*q + 576*q*w + 142*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1239, -9888, -33367, -79092, -154479?\nAnswer: -266944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4154 (base 9) to base 7\nAnswer: 11611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2\/19, -0.3, 3\/4, -0.4, -9\/19?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**4 - 6344*j**3 - 2502660*j**2 + 10112400*j.\nAnswer: -4*j*(j - 4)*(j + 795)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 31, 36, 41, 46?\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 0 - -40)*18\/(-189) + 4\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41783*k**3 - 167124*k**3 + 41745*k**3 + 41706*k**3 + 41789*k**3.\nAnswer: -101*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1169842m to millimeters.\nAnswer: 116.9842","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - b = -0*b + 178, 4*m + 3*b = 233. Let l = 65 - m. What is the third derivative of -36*y**l - 316*y + 316*y - 20*y**2 wrt y?\nAnswer: -4320*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + d - 1, n - 1 = -2*d. Suppose 2*b = 2*h + 22, -2*b + 7 + 30 = n*h. Calculate the remainder when 35 is divided by b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1722631506?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3461487 > 3461277?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - -20210?\nAnswer: 20202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -9092, -8719, -7700, -5711, -2428, 2473, 9316, 18425?\n\"Answer: 54*o**3 - o**2 - 2*o - 9143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2181023 (base 10) to base 5.\nAnswer: 1024243043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-36255.\nAnswer: -145020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a millimeter in micrometers?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*q + 113 - 193. Calculate the least common multiple of q and (1 - -1)\/((-6)\/(-33)).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -49*w + 2 + 95*w - 47*w - 3*w**2 in the form a*w + h*w**2 + j and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a**3 + 108756*a**2 + 434988*a + 434976 = 0 for a.\nAnswer: -36248, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 0. Let r = -7 - y. Let p = r + 18. Calculate the smallest common multiple of p and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of 0*w**2 + 1\/8*w**4 + 1 + 11\/4*w**3 - 82*w. Find z such that i(z) = 0.\nAnswer: -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4078*m + 147370 = 4640 for m.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 2\/47 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 10, w + 2*n = 2*w - 41. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15291.7 take away -3.93?\nAnswer: -15287.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -18*x**2 - 27*x**3 + 16*x + 138 - 170 + 28*x**3. What is the tens digit of q(21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l = 6*l - 30. Is -2 at most as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4086457 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2676 - 2?\nAnswer: -2700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -15, 11876*i - 30 = a + 11871*i for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-18)\/16)\/(-3))\/((-22190)\/53256).\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**3 + 1376*n**2 - 6780*n.\nAnswer: -4*n*(n - 339)*(n - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2496\/36)\/26*(-232665)\/2. Round s to the nearest 10000.\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -21, -4, 36, -0.1?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -274 or -277?\nAnswer: -277","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -47 - 6?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 74 + -42. Does 16 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11359?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d**5 - 75*d**4 - 4146*d**2 - 16799758*d?\nAnswer: -40*d**3 - 900*d**2 - 8292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.030203 rounded to three dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 288 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 9*u**2 + 171*u + 157. Let o be x(-18). Which is the closest to 0? (a) 86 (b) -0.2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1876568929 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 419\/19284 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2\/153 + 101\/3978. Which is smaller: a or 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2 + 2654598*a.\nAnswer: -3*a*(a - 884866)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40539, -40537, -40533, -40527, -40519?\nAnswer: -40509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**3 - 2*n**4 - n**3)*(1075 + 146 + 3094)*(-2*n - 1 + 1).\nAnswer: 17260*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 572*c - 565*c - 38 = 3*o, 0 = -2*o + c - 18 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 246819 less than -0.4?\nAnswer: -246819.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkqkkkkkkkkkkkkkk. What is prob of sequence kkkq?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**2 + 4*p**2 - 2*p**2.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r + 16. Let v be t(14). Suppose v*j = 5*j. Suppose 4*d = -3*b + 24, b - 3*d + 5 = -0*b. Solve -c = 4*h + b*c - 32, -c + 4 = j for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 5:11 AM?\nAnswer: 4:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -184 - -147. Calculate the remainder when 7 is divided by (-1)\/(6\/(w - -1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 10698 = 6*z + 10236, -2*t + 5*z = -20925. Calculate the highest common divisor of t and 116.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28080?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 75 and 585?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 - -12. Let k be (1 + -2)\/(-3 - (6 + -10)). What is the second smallest value in v, 0.4, k, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 503.8 - 23.8. Let w = s + -480.46. Which is the nearest to w? (a) -2\/13 (b) 1 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 15, p: 3}. What is prob of sequence kkp?\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19386 = 4*s - 3*b - 205072, 0 = 4*s + 4*b - 185700. Suppose -s = -21*a + 8*a. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = -9*t + 24*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 18\/25 and (-44544)\/(-34560) + 0 + 4\/(-10)?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84959 is divided by 120?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 12 = -4*r + 4, 2*o + r = 4. Suppose o*q = q. Suppose 2*b - 4*f - 14 = -0*f, 3*b + 5*f - 65 = q. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -2*l + v + 4*v, -v - 15 = 4*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-8)*a**(2\/9))**(-44)*((a**(-2))**(-9))**(-11\/5) assuming a is positive.\nAnswer: a**(13618\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 324 and 42138.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 v when three letters picked without replacement from {q: 3, v: 2, k: 1, a: 6, y: 1}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 509.7 + -510.12. Let j = 164.42 - 162. Let h = j + l. Which is the biggest value? (a) h (b) 0.1 (c) -0.4 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9342 + 14858 - 128230 - 33934)*(q - 4 + 4) in the form g*q + v and give g.\nAnswer: -156648","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6172169 to the nearest integer?\nAnswer: 2484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.739871 + -2.74. What is y rounded to five decimal places?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 288, 295, 300, 303?\n\"Answer: -s**2 + 10*s + 279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 102758*q**3 + 184435*q wrt q.\nAnswer: 616548*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -2\/9, 0, 5, 232, -0.15?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 2*o + l - 50, o - 5*l = 25. Let v(t) = 99*t + 2. Let k be v(2). Calculate the greatest common divisor of o and k.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4644494, 9288984, 13933474?\n\"Answer: 4644490*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -119.5 + 837.5. Let c = h + -717. What is the second smallest value in -0.1, c, -235?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7387?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21994 (base 12) to base 14.\nAnswer: -12384","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (7\/(-3))\/(4\/12). Let j be 1*(3 + o - -4). List the prime factors of 16\/(-40)*(j - 60).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(-2 - (3 - 4)). Suppose b = -2*g - f + 50, 3*g + f = -32 + 108. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-8)*(o**(1\/12)\/o*o)\/o)\/(o*o\/(o*o**(2\/5)))**49 assuming o is positive.\nAnswer: o**(-2299\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (97*b + 57*b - 4*b)*(-b - 7*b - 4*b).\nAnswer: -1800*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44617910?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 34774319 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + 7*d**2 + 4*d - 11. Let z be j(-6). Let t(s) = -152*s - 1516. Let g be t(-10). Put z, 22, g in ascending order.\nAnswer: z, g, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -5*o**3 + o**2 + 3*o + 1. Let n be q(-1). Let m be (-4)\/(-3)*(2\/(-1) - -5). Solve n*p - 9 - m = -g, -19 = g - 4*p for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((161\/805)\/(3\/24))\/((-78)\/15)?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -1210.\nAnswer: 3630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48\/5 + 3\/5*w**3 - 27\/5*w**2 + 18\/5*w = 0 for w.\nAnswer: -1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-1 - (-7 + 4) - -4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 290997 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a - 3*a + a)*(2*a + 2 - 2) + (-3*a - 3*a - a)*(1 + 2 + 3)*(-8*a + 0 - 1 - 7).\nAnswer: 332*a**2 + 336*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 220 + -18?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-6 - 8)\/((-1)\/2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1633*x - 1624*x + 1602. What is the nearest to -2\/3 in x, 2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9209 - -9246. Calculate the remainder when 751 is divided by w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14592 by -152.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i - 49720 = -10*i - 4*l, 5*i - 2*l = 82832. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 113226*w**2*y**2 - 419*w**2*y - 7*w*y**2 - 2*w*y + 22*w - 2*y**2 + 20*y + 1153 wrt w.\nAnswer: 226452*y**2 - 838*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**2 + 3*n - 3*n)*(1 + 3 + 0) + (-156*n - 24 + 24)*(-2 - 2*n + 2).\nAnswer: 304*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n. Suppose h - 2 = -d, -d + 0 = -4*h + 8. Let f be (-1 + -1)*(-2)\/h. Let m(z) = 0*z**2 - 4*z**2 + 5*z**f. Give m(c(j)).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -56*g. Let a be h(1). Let n = 219 + a. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -4549*z + 46178. Calculate q(10).\nAnswer: 688","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*i - 4*i + 4*i)*((i**2 + 2*i**2 - i**2)*(4 - 4 - 2*i) + i**3 + 0*i + 0*i - 4*i + 4*i - i**3) + 0*i**4 + 0*i**4 + i**4.\nAnswer: -27*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3*u**2 - 75*u + 90. What is the least common multiple of j(27) and 84?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 16*y = -15*y - 1, -4*p - 5*y + 5 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 266382.\nAnswer: 2, 3, 4933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 322415\/15183108 - -1\/148854. Find the common denominator of -77\/612 and a.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 4*m = 16, -19*m = t - 20*m + 1. Factor 28\/5*d - 4 + 4*d**t - 28\/5*d**3.\nAnswer: -4*(d - 1)*(d + 1)*(7*d - 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -38.3, 179.12, 0.4?\nAnswer: -38.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = 93*m - 106*m. Suppose 4*t = -2*x + 14, 2*t = m*t + 4*x - 7. Calculate the smallest common multiple of 17 and t.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 2:17 AM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2219 divided by -1?\nAnswer: -2219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1400)\/340 - 2\/(-17). Suppose -l - 4*s = 14, -2 + 0 = -5*l - 2*s. Let d = l - b. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31343*k + 31343*k + 1 + 787*k**2 - 1.\nAnswer: 787*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, 4, 55\/12, -0.042 in descending order.\nAnswer: 55\/12, 4, 2, -0.042, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -958 - -1630. Is l a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, e: 1, a: 1, h: 6, i: 11}. Give prob of sequence eih.\nAnswer: 11\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 h when two letters picked without replacement from {l: 10, a: 1, h: 4, e: 2, w: 1}?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 128\/(-3) - (-12)\/18. Let c = a + 83\/2. What is the second smallest value in 3, c, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1081*b = 1071*b + 720. Calculate the highest common divisor of b and 128.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 52*x**2 + x**2 - 15*x**2 as g*x + t + p*x**2 and give p.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 2)*(3*z**2 - 4*z**2 - z**2) - 16 + 16 + 16*z**2.\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8325*h*n**2*v**3 + 2*h*n*v - 2*h*v**3 - 1692*h*v**2 + 2*n**2*v**3 - n**2 + 2*n wrt n.\nAnswer: 16650*h*v**3 + 4*v**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72420844.\nAnswer: 2, 367, 49333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of 24*i**2 + 1\/2*i**3 - 5*i + 0. Let m be x(-17). Let s(h) = 3*h**2 + h - 3. Determine s(m).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-40)\/(-24))\/((-10)\/(-12)). Factor -109*f**h + 16*f - 103*f**2 - 108*f**2 + 52 + 14*f + 322*f**2.\nAnswer: 2*(f + 2)*(f + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1476707688 to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, x: 9}. Give prob of picking 4 x.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 146 and 622252?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - -6b?\nAnswer: 6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 n when three letters picked without replacement from {o: 5, t: 2, v: 3, n: 3}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -6*f**2 + 98*f + 17. Give a(16).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 319\/(-88) - (3 - 84\/32). Let y be 8 + 28\/49*(-42)\/k. What is the greatest common divisor of y and 322?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/1060 and -2 + (-1 - -6) - (-265)\/80.\nAnswer: 4240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35718236?\nAnswer: 2, 67, 133277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19791 and 733.\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 7 + 16 - 1007*g - 1008*g + g**2 + 2025*g.\nAnswer: g**2 + 10*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-10)\/(g*((g**(-3)*g)\/g)\/g))\/(g**(-1\/11)*g*g**(2\/5)*g))**(24\/13) assuming g is positive.\nAnswer: g**(-12288\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 + -3 - (1 - 1). Suppose g - 13 = o. Let q be g\/(-3)*36\/(-14). Solve -c = -4*c - q for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131*o**2 + 7 - 21*o**2 - 5*o**2 + 176*o - 8.\nAnswer: 105*o**2 + 176*o - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -20517, -41026, -61535, -82044, -102553?\n\"Answer: -20509*z - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2190, 2186, 2290, 2592, 3182, 4150, 5586?\n\"Answer: 15*d**3 - 36*d**2 - d + 2212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -89\/102 + 2\/51. Let s be 119\/(-84) + 2\/3. Which is the smallest value? (a) 1\/4 (b) h (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2275*r**4 + 4732*r**2 wrt r.\nAnswer: 54600*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 - 6*w)*(-4*w - w + 3*w)*(-5*w + 5*w - w) in the form m*w**3 + f + l*w**2 + q*w and give m.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -10 (b) -16 (c) -1\/7 (d) 1\/9 (e) 1 (f) 17\/9 (g) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 564 - 153. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 + 8 + 5*f**3 + 11.\nAnswer: 5*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17707634?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, e: 3, v: 13}. What is prob of picking 1 j, 1 e, and 1 v?\nAnswer: 13\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 4, 0 = -2*h + h + 3*c - 4. Let f be (h + 9)\/(1\/(-2)). Let s(x) = -x**2 - 6*x - 1. Calculate s(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38 + 173. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 + 4*u + 2. Let c be o(3). Is 12 a factor of 1\/2*130\/c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k + 1 - 1 + (3 + 0 - 4)*(-4*k + 4*k + k) + k + 21*k + 14*k in the form b + a*k and give a.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -2*h + 658, 2*h - o = 4*h - 650. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 2)*(-11420 + 11420 - 182*l)*(-4 + 4 + l).\nAnswer: -182*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1013522\/3 equal to -337842?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.4338 - -0.113\nAnswer: 0.5468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - 28. Let l = 28 + i. Does 4 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24345 (base 9) in base 10?\nAnswer: -16322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 4*l + 16 = 0, 2978 = -2*h + 5*l + 2971 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-396)\/(-54)*(3 + 0). Let g be 4\/c + 960\/44. Solve 0 = 4*v - 4*p + p - 1, 0 = -3*v - 2*p + g for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 831?\nAnswer: 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -33*r**3\/8 + 42*r**2 - 15*r\/2 = 0. What is r?\nAnswer: 0, 2\/11, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 739280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4025460.\nAnswer: 2, 3, 5, 23, 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (5 + sqrt(1300) + -1 + 3 - -3*sqrt(1300)*-1*-2)**2*4)*-4.\nAnswer: -1019968 - 15680*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -62, -54, -36, -2, 54, 138, 256, 414?\n\"Answer: m**3 - m**2 + 4*m - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y - 3. Let q(d) = -65*d - 5. Let f(l) = 2*l - 1. Let o(r) = 4*f(r) + q(r). Let t(n) = -3*g(n) + o(n). Let p(i) = -3*i. What is p(t(m))?\nAnswer: 162*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-117)\/(-26))\/(-6*1).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 5 = -q, -3*q + 5*l = q - 65. Let b be (-4849)\/(-65) + (-6)\/q. What is the tens digit of 0 + -2 + (b - 13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1675629.\nAnswer: 3, 19, 41, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23607?\nAnswer: 3, 43, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1151, -2302, -3453, -4604, -5755?\nAnswer: -6906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 142199249641 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3376 is divided by 395?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1209 and 155.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5*y + 31 = 0, 4*m - 3*m + 3*y = -9. Suppose m - 16 = -2*c. Suppose -2*o - 2*o + 5*s = -53, c*o - 15 = -4*s. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16141531 (base 7) to base 10\nAnswer: -1556458","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a century in months?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 580 + -578. Let z(r) = 418*r**2 - 77*r - 77. Let x(m) = -11*m**2 + 2*m + 2. Determine b*z(k) + 77*x(k).\nAnswer: -11*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 0.06, -3, -2\/7?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-198 + 236 - 12 - 195 - 142)*(0*r + 2*r + r).\nAnswer: -933*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = -145 + 117 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3752 and 70?\nAnswer: 18760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*o**4 - 2*o + 0*o - 2 + o**2 + 0 + 4*o**4 + 325*o**3 - 329*o**3 to v*o**3 + n*o + h*o**4 + j*o**2 + c and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*w = -54 + 117 - 192. What is the closest to -0.1 in -41, 28, w, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5372?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-25))\/(l\/((l\/l**(-25)*l)\/l)))**(1\/73) assuming l is positive.\nAnswer: l**(1\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1007184023.\nAnswer: 17, 59246119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -24*x - 20. Let f(s) = 24*s + 21. Let z(d) = 4*f(d) + 3*g(d). Let j(v) = -5*v - 5. Let u(h) = 28*j(h) + 6*z(h). Differentiate u(n) wrt n.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*f**4 + 180*f**2 - 560*f + 384 = 0. Calculate f.\nAnswer: -8, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 40 - 22.4. Let l = 19.6 - j. What is the third smallest value in l, -3, -37?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 36 + -31. Suppose -4*t + 184 = k*l, -t - 3*t - 16 = 0. Let u = -44 + l. Is u at most as big as -26\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -7249, -14538, -21823, -29104, -36381?\n\"Answer: 2*j**2 - 7295*j + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 7326*u - 461500. Determine o(63).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0020050112 rounded to four dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-7) - 27\/63. Is -2\/21 at most l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -9*y - 1. Let d(x) = 3*x. Let a(l) = 7*d(l) + 2*v(l). Let i(f) = -12*f + 5. Let p(n) = -7*n + 3. Let o(h) = 3*i(h) - 5*p(h). Give a(g) + 5*o(g).\nAnswer: -2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -640 + 1136. List the prime factors of l.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66678133 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of 2*i**2 + 9 + 0*i + 1\/3*i**3. Let t be d(10). Round t to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.4 - 0.2. Let m(w) = w**3 - 6*w**2 + 6*w - 7. Let o be m(5). Let d = 1 - 4. Which is the nearest to y? (a) d (b) 2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 180873, 181021, 181121, 181149, 181081?\nAnswer: 180893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from qqlqlqqqqoloqlllo?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 2*l - 3333 = 0, a - 10*l + 5*l - 662 = 0. What are the prime factors of a?\nAnswer: 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z**3 - z**2 - 4. Let i be k(-4). Suppose 5*o - i = 37. What is the remainder when o is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1449759923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3610, 3604, 3598, 3592, 3586, 3580?\nAnswer: 3574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8945.\nAnswer: 5, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2105 divided by -2898.\nAnswer: -2105\/2898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*x - 474 = -719 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1188 and 143.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 874 and 6670?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 b, 1 h, and 1 q when four letters picked without replacement from {o: 1, b: 1, h: 3, q: 1, g: 5, n: 6}?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3066\/24)\/((-7)\/(-280)). Suppose 5*z - 19*z = -d. List the prime factors of z.\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 464900.\nAnswer: 2, 5, 4649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-5)*1080\/162. Let m(h) = -7*h + 2. Let d(k) = 20*k + 1. Let b(q) = 20*q. Let z(r) = -7*b(r) + 6*d(r). Calculate f*m(l) + 3*z(l).\nAnswer: -4*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/3780 and 53\/34818840.\nAnswer: 104456520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 6 - 8 + 2 + 12*g. Let j(a) be the first derivative of -a**2\/2 + 12. Calculate q(j(f)).\nAnswer: -12*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 197 + -198. Which is the nearest to m? (a) 0.1 (b) 9\/4 (c) 3 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -102*p**2 + 9*p - 2*p**4 + 102*p**2 wrt p.\nAnswer: -24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 653885?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (287*b**2 - 354*b**2 + 221*b**2)*(0 + 0 + 1 + 18*b**2) to the form r*b**2 + n*b**4 + i*b**3 + p + m*b and give r.\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*l + 3 - 3)*(2*l**3 - 4*l**3 - 2*l**3) + (4*l**3 + 3*l**3 - 4*l**3)*(21 - 21 - l) in the form n*l**2 + i*l**4 + w*l**3 + c + m*l and give i.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1295748.\nAnswer: 2, 3, 35993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 2*q - 3*r + 10 = 0, 3*q = r for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**3\/5 + 2684*x**2\/5 - 5362*x\/5 + 536 = 0. Calculate x.\nAnswer: 1, 1340","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 90\/19 (b) 4 (c) 34 (d) -3\/4 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2184 + -2183. Put 2, 5, o in decreasing order.\nAnswer: 5, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4, 1\/4, 3, -24.635?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 7*n**2 + 6*n + 17. Let x be a(-3). Suppose 15 = 67*c - x*c. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -780757\/108 + 7229. Calculate the common denominator of 32\/675 and h.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1491 divided by 2?\nAnswer: -1491\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 32\/72 + 2732\/9. Suppose -3*q + 763 = 4*o, l = 2*q + 4*o - 210. What is the remainder when q is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1052*h = -1050*h - 6, 2*h - 6 = 5*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23730 and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75863 divided by -4.\nAnswer: 75863\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 837164720 to the nearest integer?\nAnswer: 28934","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -934.\nAnswer: -1\/934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g + 19 = 1. Suppose -4*f - 2*z + 16 = 0, 2 = g*f + z + 3*z. Suppose -c - 1 = 0, -f*o + c = 3*c - 8. Solve 0 = -y + o + 1 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8\/(-12))\/((-4)\/(-6)). Let b = -219 - -219.4. What is the fourth smallest value in 2, 3\/2, u, b?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of 1\/12*u**4 + 0*u - 5\/3*u**3 + 0 - 3*u**2. Is j(10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/5 (b) -306.8 (c) 1413\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30748 + 11212 = -66*a. What is the smallest common multiple of 74 and a?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.53734414*-1\nAnswer: -1.53734414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1097237179?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/57 and -56\/69.\nAnswer: 1311","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((4*(-54)\/96)\/3)\/(141\/8)\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5213 - -3551?\nAnswer: 13204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, y: 2, n: 3}. What is prob of picking 2 y?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 - -11 - (4 - -6).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**3 + 0*v**3 - 3*v**3)*(-145 + 12*v**2 + 145 - v).\nAnswer: -36*v**5 + 3*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-19 - -10)*(-21)\/63. Solve 5*i = -y - 23, 39*i = -u*y + 43*i + 26 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1505 + 15005 = 213*r - 438*r for r.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m**(2\/17)*m))\/m*m*m*m*m*m*m\/((m**(-1\/7)\/m)\/m)*m)\/(m*m**(-5)*m*m\/m**(3\/8)))**(4\/39) assuming m is positive.\nAnswer: m**(9901\/9282)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 223 divide 227850919?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3518971460432 - 0.3?\nAnswer: 3518971460431.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -148*h**3 - 119*h**3 - 14*h**3 - 125*h**3 + 19*h**3.\nAnswer: -387*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 2576500 to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 + (-8 - -17) + -53 - -5) + -9?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 49*d**5*m - 2*d**4*m**2 - d**2 + 2*d*m**2 - 17*m**2 wrt d?\nAnswer: 2940*d**2*m - 48*d*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 y when two letters picked without replacement from {z: 1, m: 2, j: 2, t: 4, y: 3}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (4*1\/(-3))\/(74\/(-24753)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31\/36 + -10\/9. Let m = 0.2 - 0. Let j = m + -0.4. Which is the third biggest value? (a) j (b) z (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 224 divide 92288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**2 + 7920*u - 164115.\nAnswer: -5*(u - 1563)*(u - 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -92458, -186677, -280896, -375115, -469334, -563553?\n\"Answer: -94219*z + 1761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.016 - 0.984. Let t = -5 - -9. Which is the smallest value? (a) t (b) 5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q = -464 + 429 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 60632638200 rounded to the nearest 1000000?\nAnswer: 60633000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6 + 125\/15)\/((-1)\/(-3)). What is the common denominator of 1\/2*(y - (62 - 10)) and (3\/6)\/((-120)\/334)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 48 + -101\/2. Which is the fourth biggest value? (a) 4 (b) -2\/9 (c) -1\/2 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 3*i + 40, 29 + 1 = -3*y + 2*i. Let s be 15\/y - 278\/(-180). Which is bigger: 1 or s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5773 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of -k - 1. Let v(f) = -11*f**2 - f + 5. Let c(u) = -5*m(u) - v(u). Determine c(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101110101 - -1?\nAnswer: -10101110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 69679 and 2891.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - 36?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 8*z - 9*z = -9*z. Let b(w) be the third derivative of 0*w + 1\/240*w**6 + z*w**4 + 1\/60*w**5 - 20*w**2 + 0*w**3 + 0. Solve b(n) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.137634 to 1 dp.\nAnswer: 3.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-195)\/(-9))\/13*-3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -0.098, -0.05, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 694.48 to the nearest 10.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 18 = 3*f, f + 2*s + s = -19. Let d(k) = -9*k - 62. Let u(n) = 5*n + 30. Let j(p) = -4*d(p) - 9*u(p). What are the prime factors of j(f)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of 0*u**2 + 0*u**4 + 0*u**3 - 3\/80*u**5 - u + 1\/28*u**7 - 1\/40*u**6 + 0. Factor o(y).\nAnswer: 3*y**3*(y - 1)*(2*y + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/6)\/h*h**6)\/(h\/h**4*h*(h**(-6)*h)\/h) assuming h is positive.\nAnswer: h**(77\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*-9*13\/18603.\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3465, 2, 4 in decreasing order.\nAnswer: 3465, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 443550 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 56837180653 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*y - 5*w - 25, 3*y = 4*y - 2*w - 7 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06468211126 to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 3*i + 311 + 146 - 448. Let n be -2*((-14)\/(-4) - 0). Calculate w(n).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r = -i + 7*r + 470, -r = 2. Is 8 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d**2 - 17*d + 26. Let j be c(-10). Suppose -350 = 3*u + 4*u. Let m = 46 + u. Is m bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14413 (base 7) to base 6\nAnswer: -30231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4254300569 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*a**2 + 5*a + 43*a**2 - 5*a.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, 16, 51, 104, 175, 264?\nAnswer: 371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k**2 - 54*k + 54*k + 0*k.\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (-40 + 25) - (9 + -17 + 98).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5829*v = 3434*v - 117355 for v.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*r**2*y**2 - 2*r**2*y - 4*r*y**2 - 8*r*y + 19*y wrt y.\nAnswer: 6*r**2 - 8*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -26*l + 471. Let p be u(18). Which is the nearest to -2\/7? (a) 5 (b) -0.11 (c) -0.5 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -4*u + 27, -109*l - 8 = -110*l - u for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((6\/8)\/((-17625)\/(-150)))\/(-2*9\/(-180)).\nAnswer: 3\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21214.584ns to minutes.\nAnswer: 0.0000003535764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 9, v: 2, n: 3, q: 3, j: 1}. Give prob of picking 2 n and 2 v.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7634*m**2 - 7634*m**2 - 1419*m**3.\nAnswer: -1419*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v**2 + 6*v**2 + v**2)*(9 - 4 - 3 + (2 - 2 + 1)*(-11 + 6 - 3) + (-3 + 1 + 1)*(-4 + 1 + 1) + 3 - 3 + 1).\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 3*x + 27 = 2*s, s + 2*x = 8. Let m be s*16\/6 + 2. Let f = m - 3. What are the prime factors of f?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + 74*b**2 - 655*b + 85. Let v be a(-82). What is the third biggest value in -3\/5, 0, 0.54, v, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + 142142222212?\nAnswer: 142142222212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38 - 39 - 12 + (-4 + 0 + 6)*(0 + 0 - 2))*(0*h + 0*h + 2*h**3)*(-3 - 1 + 0).\nAnswer: 744*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.3 and -983101.627946?\nAnswer: 983101.927946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 1131 divide 184912286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 5, 129 in decreasing order.\nAnswer: 129, 5, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -0.6, -3, -4?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62 - 2*r**2 + 3*r - 7*r - 62.\nAnswer: -2*r**2 - 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -968 - -967.5. Which is the second smallest value? (a) 7 (b) -2\/3 (c) s (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 m, 1 t, and 1 o when four letters picked without replacement from {m: 1, t: 1, o: 2, b: 6, s: 2, j: 8}.\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 + 7*d - 7. Let s(g) = 2*g - 5. Let n(l) = 6*l - 1. Suppose 5*w - 10 = -5*a - 0*w, 4*a - 4*w = 0. Let h be n(a). Let k be s(h). Determine f(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-2)\/6*(-81)\/108).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 5*g + 36 = 0, -z - 9 + 21 = g. Let s be 1\/(1 + z\/(-11)). Let c = 25 + s. What is the remainder when 26 is divided by c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 - -9. Let b = -3 - i. Suppose -b*f + 33 = 6. Is 9 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 1 - (18 - (2 + 6)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11265 is divided by 262.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -23.738 in -0.5, -9, -2\/11, 0.12?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + 5*n**2 + 6*n + 5. Let r be k(6). Suppose -2*v - 5 - 3 = -r*h, 4*v - 6 = -h. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (332 + 259 + 626)*(-3 + 2 + 0)*(3*f**5 - 5*f**5 + f**5).\nAnswer: 1217*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 divided by -19912492.\nAnswer: -8\/4978123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z. Let l be a(-2). Suppose -l*t = -3*j - 485, 3*t - 4*j - 250 = t. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 216*33\/3960 - (-66)\/(-45). Solve -19\/3*y**2 + 100\/3 + f*y**3 + 80\/3*y = 0 for y.\nAnswer: -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*b - 2*b - b)*(2967 - 2967 - 292*b**3) to the form g + h*b**3 + k*b**4 + o*b**2 + u*b and give k.\nAnswer: -584","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 - 5*g - 3. Let o be w(6). Let p be (1 - o)\/2 - -9. Let x = 16 + p. What is the highest common factor of x and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 11 - 15*a + 24 - 7.\nAnswer: -15*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 12\/373?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 84422870 and -5.\nAnswer: -422114350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, m: 10, f: 3, d: 2}. What is prob of sequence dm?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 7*f - 1. Let w be 1*(-2 - (-1 + -2)). Let q be a(w). Solve q*i - 3*i + 6 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 7269*j + 385249. Calculate h(-53).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 + i + 4. Let k be t(6). Let q be (-2)\/11 + k\/11. Suppose -d + 0 + q = 0. Solve d*n = 9 - 1 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.297 - -246.\nAnswer: 245.703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 3*j + 12 = -j, 4*d - 2*j - 6 = 0. Suppose d*a = a - 8. Suppose 0 = 2*x + 3*v - 5, -2*x + a = v + 1. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (92 + -76 - -14) + (-90 - 12)?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**0)**(33\/2)*u**(-7)*u*u**1)**(-2\/117))**(-30) assuming u is positive.\nAnswer: u**(230\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l*l**(2\/11)\/l)\/l)**(-1\/22)\/(l**(-7\/3)*l**(-2\/15)*l) assuming l is positive.\nAnswer: l**(2647\/1815)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002900613288 to 7 dps.\nAnswer: -0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1768 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**0\/h*h**(-1\/48)\/h*h**(-15\/4)\/(((h\/h**9)\/h)\/h) assuming h is positive.\nAnswer: h**(203\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -6*v**2. Let c(o) = -23 + 14 + 9 - 6*o. Determine c(y(i)).\nAnswer: 36*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.3, 2258, 1\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(1\/2)\/((u**(1\/3)\/u)\/u)*(u**3)**(1\/7) assuming u is positive.\nAnswer: u**(109\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 109\/338 - -30\/169. Which is the nearest to -1\/4? (a) 0.1 (b) 19 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1656997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/(sqrt(12) - (-1*sqrt(1200) + sqrt(1200))).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165*b = -1894 + 3214 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.4 (b) -0.07 (c) 44503 (d) -2\/9 (e) 3 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6115 (base 9) to base 6.\nAnswer: -32405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 71 - 73 + 158 = -2*w, -3*w = 18*f + 81 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -18, -42, -66, -90?\n\"Answer: -24*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 2 - 4)*(1 + 4 - 3)*(-20*c**3 - 49*c**3 + 102*c**3) as d + h*c + q*c**2 + i*c**3 and give i.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of i**5\/60 + i**4\/12 + i**3\/3 - 3*i**2. Let q be k(-4). Is 13 a factor of 364\/q - 4\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/2444 and -79\/38976?\nAnswer: 23814336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -9*r + 4 - 5\/2*r**2. What are the prime factors of d(-6)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-2\/7))**(-2\/43)*(p*p**(-2\/7))\/p*p*p**(3\/10) assuming p is positive.\nAnswer: p**(2873\/3010)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 0.3, -2, 41.05, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 57 + -22. Suppose -4*b - 4 + w = a, -12 = -4*a. Let l = -12 - -38. What is the remainder when l is divided by b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/5, -1.1, -2\/15, -1\/4, -28.\nAnswer: -28, -6\/5, -1.1, -1\/4, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 67*k**2*l*z**2 - k**2*z + 6*k*l*z**2 - 28*k*l - 3*k*x**2*z**2 - 6*k*x**2*z + 3*l*z + 2*z wrt z?\nAnswer: 134*k**2*l + 12*k*l - 6*k*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 86526 and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 greater than or equal to -830950636?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133*g - 6 = 130*g. Suppose -i + 13 = -3*x, -g*i - 2*x = -6 - 4. Solve -11*b = -i*b - 20 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -7*c + 21. What is f(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 84119363 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4224\/115 - 762\/23. Factor 0 + 6*x**3 + r*x**2 + 2\/5*x - 10*x**4.\nAnswer: -2*x*(x - 1)*(5*x + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of 19*j**6\/120 + j**5\/20 - j**4\/8 - 4*j**2. Let f be q(2). Suppose 7*g - 9*g + f = 0. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 11, h: 2, m: 1}. Give prob of picking 1 h and 1 z.\nAnswer: 22\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 4\/145, -7, 2, -5, 5?\nAnswer: 4\/145","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 110 - 110. Is z at least as big as -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7 - (5 + -3 + 0). Suppose 18 = s*d - 17. Let m be (-12)\/(1 - -3) + d. Solve 0*q + 5*q - k = 30, -15 = q + m*k for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 PM and 5:15 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/13582375 and -47\/162988500.\nAnswer: 162988500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-70)\/147*(-14)\/(-30)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000276738523 to 6 dps.\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1295?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -1.7. Let o(m) = -2*m**2 - 35*m + 17. Suppose -72 = 4*n - 5*u, -3*n + 3*u = -0*n + 54. Let t be o(n). What is the nearest to t in -4\/9, 2\/3, i?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82726994.\nAnswer: 2, 7, 844153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 49.97705 decades?\nAnswer: 499.7705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 658994?\nAnswer: 2, 7, 103, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -b135 (base 15) in base 13?\nAnswer: -1403c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -258b (base 12) in base 16?\nAnswer: -10bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -9*b**3 + 6*b**2 + 8*b - 5. Give j(-3).\nAnswer: 268","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 4*r - 1 + 32 = -46, 5*r = 15*u - 400 for u.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 3*c + 1. Suppose 11*u - 10*u - p + 6 = 0, -5*p - 2 = 3*u. Let j(y) = 3*y. Let v(q) = u*j(q) + 3*f(q). Let k(b) = b. Calculate k(v(m)).\nAnswer: -3*m + 3","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*-5*(-9)\/(-180).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.21 + -0.09. Let w = 1.7 - i. Put w, 0.1, 1 in decreasing order.\nAnswer: w, 1, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 9:29 PM?\nAnswer: 9:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.4, 138, 5695?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1 + ((-8)\/(-24)*-6 - -7)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*i, 10*d = 9*d + i + 355410. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b34d0 (base 14) to base 10.\nAnswer: -969598","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0334 + 0.3199. Let z = 0.0065 + m. What is z rounded to 2 decimal places?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 616061617 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 1:46 PM?\nAnswer: 10:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 37608 and 64?\nAnswer: 300864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of -3*p**5\/40 + 21*p**4\/16 - 69*p**3\/8 + 105*p**2\/4 - 75*p\/2 - 699. Factor o(m).\nAnswer: -3*(m - 5)**2*(m - 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.8895 + -0.1105. Which is the nearest to -1? (a) -4 (b) 5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59385?\nAnswer: 3, 5, 37, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -78.3.\nAnswer: 74.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m - 6. Let t be l(8). Suppose 2 = t*v - v - 2*x, -v + 5*x - 13 = 0. Is 6 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(490)*-1)\/(-1*sqrt(5)*4))**2 + (sqrt(4)*2*-5)\/(sqrt(98)*1).\nAnswer: -10*sqrt(2)\/7 + 49\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a litre in millilitres?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 830 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, -7, 35, -5 in ascending order.\nAnswer: -7, -5, -3, 3, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 20, 4, -195\/44, 5, 0.5, -11, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -9*j + 8*j. Calculate the remainder when 10 is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b + 26 - 98 + 31 + 33. Let h be c(-17). Suppose 0 = h*p - 2*p - 399. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, e: 2, f: 6, q: 1}. What is prob of sequence tff?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c. Suppose 5*f - 46 = 1014. Let l(q) = f - 212 - q. Determine l(g(u)).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*u - 24 + 90 + 194 = 0 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*6\/(96\/8).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -343034*d**3 + 228*d**2 - 6*d - 181?\nAnswer: -2058204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h + 1. Let i be -27*(-4)\/84 + (-4)\/14. Give k(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46267997 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 2, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 + 25*s**2 + 28*s - 37. Let l be y(-24). Let u = 289 - l. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 46 - 45.57. Let u = v - 0.83. Which is the third biggest value? (a) u (b) -3 (c) -13 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 - -12) + 36\/(-6). Let k(m) = 7*m**2 - m - 4. Let h(d) = 13*d**2 - d - 7. Let f(j) = -6*h(j) + 11*k(j). Let t be f(-3). Sort i, t, -5.\nAnswer: -5, i, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 5.2. Let t = v - -2.20000056. What is t rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 919422 is divided by 459701.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-836)\/605)\/4 - 10\/(-220).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35955 + -37917.7. Round r to the nearest 10.\nAnswer: -1960","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + 1. Let l(u) = -22*u - 11. Let y be l(k). Let h = y + 200. Does 25 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3541 - -1560?\nAnswer: 5321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30320301203 (base 4) to base 15.\nAnswer: 46ae85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 144 + -142. Suppose a*r + 331 = 4*j - 3*r, j = -4*r + 67. Suppose 5*u = 4*k - j, 5*k - k + 2*u - 86 = 0. What is the remainder when 73 is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*b - 2*b - 9*b)*(-4 - 2*b**2 + 4)*(-13 + 13 - 5*b).\nAnswer: 80*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54901 is divided by 140.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4442 is divided by 81.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = -2*x + 39, 24*x - 10*x = 10*x - 5*v + 195 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 826 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= -2\/3073?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 5*w**2 + 4*w - 1. Let s(b) be the second derivative of -b**4\/12 - b**3\/6 - 104*b - 2. Determine -3*s(g) - t(g).\nAnswer: -2*g**2 - g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2642*b - 15873. Give j(-6).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 818791149 to the power of 1\/3, to the nearest integer?\nAnswer: 936","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 303 divide 98896473?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1194 and 30.\nAnswer: 5970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-8)\/140*5)\/(2\/(-16)). Suppose -o = 3*o - 4. Is o greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 5*y - 1937 = 0, -4*s + 1922 = -2*s + 2*y. Suppose -s - 964 = -16*f. List the prime factors of f.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17.5 + -17. Let n = 20.442 - 0.142. Let o = n + -20. Which is the second biggest value? (a) o (b) u (c) -3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4 from -148166.\nAnswer: -148170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -219512, -219545, -219592, -219659, -219752, -219877, -220040?\n\"Answer: -i**3 - i**2 - 23*i - 219487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2 + 21801*j - 1585224.\nAnswer: 3*(j - 72)*(j + 7339)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41328066.\nAnswer: 2, 3, 13, 529847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 50765964287 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3313?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -3*a**2 + 12595569*a - 75573306 = 0.\nAnswer: 6, 4198517","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1046502 is divided by 654.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -40*n + 7*n - 16*n - 686 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(693) - (-2*sqrt(693) + sqrt(693)))\/sqrt(11))\/((sqrt(9) - (sqrt(9) - sqrt(9)*2))*2).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/5*(-30)\/(-12). Suppose -127 = 4*l + 345. Does 37 divide (l\/4)\/(r\/2*-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 2*t = 0, -3*t - 5 = 2*u - 0*u. Let d(s) = 7 - 14 + 7 + s - u*s. Let f(o) = 37*o**2. What is d(f(a))?\nAnswer: -37*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -8*x + 3*x - 9, n + 4*x = -16. Suppose 11 = 4*b - n*y - 53, 3*y + 22 = b. Let j(u) = 8 + 12*u**2 - u - b*u**2 - 9. Determine j(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26.012 + 26. Let k = 0.562 + h. Let b = -0.95 + k. Put 3, b, 3\/4, 1\/7 in increasing order.\nAnswer: b, 1\/7, 3\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/7464211 and -131\/684790.\nAnswer: 74642110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 + 10*f**2 + 7*f + 12. Let g(o) = o**3 - 12*o**2 + 11*o - 8. Let d be g(11). What are the prime factors of a(d)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of -f**7\/504 - f**6\/36 - f**5\/8 - f**4\/2 - 7*f**2. Let v(m) be the second derivative of s(m). Factor v(l).\nAnswer: -5*(l + 1)*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 56*o**3 - 2*o**2 - 55*o - 650527 wrt o.\nAnswer: 168*o**2 - 4*o - 55","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 2 = -3*x. Which is the nearest to 0.3? (a) 0.4 (b) x (c) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 20 or 176315.97?\nAnswer: 176315.97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**3 + u**3 + 0*u**3)*(2 + 1 - 12 + 0 - 2 + 3 + (2 - 2 + 1)*(-5 + 2 + 2) + 2 + 1 + 0).\nAnswer: 6*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -56*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37539, -58620, -79701, -100782, -121863?\nAnswer: -142944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-20))\/(11\/((-55)\/(-3))).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 10:12 PM?\nAnswer: 11:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4188116 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 11 = -2*s + 1, s = 2*v - 5. Suppose b - 3 = 2*m - 2, v = 2*b + 4*m - 2. Suppose -5*n = 2*w + b, -8 = -w + 5*w + 4*n. Which is bigger: -1 or w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1723 - 1202. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -84 or -56?\nAnswer: -84","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 123 - 3?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 85\/(-102)*(-6)\/10?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 3*d**2\/4 + 163743*d\/2 - 1146348 = 0?\nAnswer: -109176, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1766, 6580, 14440, 25346?\n\"Answer: 1523*b**2 + 245*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -13*m + 4*m. Suppose -31*o - 163773041 + 507873041 = m. Round o to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/5*42860\/15001?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*a + 48*a - 26398 - 12*a - 8*a + 26398 - 13*a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 8. Let g = m - -5. What is the derivative of -g + 1 + 5*k**4 - 2*k**4 wrt k?\nAnswer: 12*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 1003 = -g - 976, 0*g + 60 = 8*t - 4*g for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -195*g*v - 116*g wrt v.\nAnswer: -195*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/14 - 10\/(-14). Let f(g) be the second derivative of 13*g**4\/12 + g**3\/6 - g**2 + 750*g. Is f(b) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 10:42 AM?\nAnswer: 12:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 10:58 AM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dxdf when four letters picked without replacement from xdxdxxxxxfxxxx?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -5*c**3 - c - 3 - 8*c**2 + 6*c**3 - 6 + 8*c. Give q(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9.91 + 0.41. Let g = a + 4.5. What is the closest to -0.2 in -0.03, g, 2\/9?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (61 - -3)\/(-2) + 1. Let c = y - -45. Is c < 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of -3*x**4\/8 - x**3 + 11*x**2. Let p(z) = -z - 1. Calculate j(l) - 4*p(l).\nAnswer: -5*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 125822?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-4)*(-64)\/48 + 5?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 163 - 107. What is the greatest common factor of z and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n**2 + 5*n + 2. Let s be a(-3). Let y(c) = 5 + 0 + 5*c + 1 + c**3 - 6*c**2. What are the prime factors of y(s)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of w**4\/8 + w**3\/2 + 2*w**2. Let b be g(4). Let r = b + -10. Solve -5*j + 4 = -8*j - r*x, 2*j + x = -5 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 11, -1658\/61 in increasing order.\nAnswer: -1658\/61, -1\/2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18050 or 17668?\nAnswer: 18050","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22.41 + 22.40992516. What is p rounded to five dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1f2 (base 16) to base 8.\nAnswer: 762","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 561 + -321. What is the least common multiple of 7 and s?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 PM and 12:55 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -4*w + 0 + 6*w + 2 + 2 - 6*w**2. Let t(g) = -5*g**2 + 2*g + 3. Let j(c) = 3*r(c) - 4*t(c). Factor j(y).\nAnswer: 2*y*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 + 41. Suppose v + 19 = 3*p. Calculate the highest common divisor of 5 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -32*s - 1724. Let q be o(-54). Suppose -4*w - 4 = 0, 0 = 4*t - w - 11 - 6. Solve t = -q*p - 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26308 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 190005987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 215796 a multiple of 196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2525, 5048, 7571, 10094?\n\"Answer: 2523*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from tacctxg?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -67*b**2 - 5*b + 4. Calculate l(1).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k**3 - 6*k**2 + 4*k - 3. Give o(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -5*n + 31. Calculate s(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -363 - -383. Calculate the highest common factor of 160 and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.009 and 20.75.\nAnswer: 20.741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1149483*m + 1208401?\nAnswer: -1149483","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -2*z**3 - 2780*z**2 + 5574*z + 8352 = 0.\nAnswer: -1392, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2749 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*p**2\/3 + 184*p\/3.\nAnswer: 4*p*(5*p + 46)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146 is divided by 47.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 448 and 6552.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 - 6*l - 7. Let h be p(7). Suppose -3*c - 5 = -4*i - h*i, -2*c = -i. Suppose i*j + 3 = 29. What is the greatest common factor of j and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.04 + 0.04. What is the second biggest value in 2, l, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -8 + 2 + -2 + -2\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 201.8 and 778?\nAnswer: 157000.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*3\/(-36) - 238\/(-84). Solve -d*l - 3 + 15 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 + (-13 - -30) + -31?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1016624, -1016609, -1016594?\n\"Answer: 15*k - 1016639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 10 = -3*z, z - 3*z - 20 = 4*a. Let x be z\/2*6\/12. Suppose x = -5*j - 15, -h - 13 = -3*j + 6*j. Let u(s) = -s**2 - 6*s - 1. What is u(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((3 - 44\/14)\/(17\/(-34)))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j**3 - 2*j**2 + 2*j. Let r(w) be the first derivative of 5*w**4\/4 + 5*w**3\/3 - 5*w**2\/2 - 39. Calculate 3*r(n) + 8*y(n).\nAnswer: -n**3 - n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14594*n**5 - 149*n**2*y**2 + 4477794*n*y**2 - 2*n*y wrt n?\nAnswer: 291880*n**3 - 298*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -6*k + 44. Let n be a(7). Factor -12*s + 0*s**3 - 4*s**3 + 226 - 190 - 20*s**n.\nAnswer: -4*(s - 1)*(s + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7348000 rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1062609804?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 676*h - 4461. Let v be t(27). Are 13792 and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -4*l + 9. Let r(x) = -10*x + 0*x**2 - l - 2*x**2 - 12*x - 2. Let j be r(-10). What is the greatest common factor of j and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t*t*t\/(t*t**4))\/t*t**0)**35)**(-40))**30 assuming t is positive.\nAnswer: t**126000","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a + l = 4*a + 11, -3*a - 3 = -3*l for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 152.511 - 152. Let t = o - 0.49. Let p = t - -0.021. Round p to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 238831092?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mk when two letters picked without replacement from {s: 4, m: 5, q: 1, c: 6, k: 4}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 14973.5 and 0.107.\nAnswer: 1602.1645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -95.\nAnswer: -1\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 67 - 59. Let g be 25\/b + (-5)\/40. What is the nearest to -4\/7 in -5, g, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 PM and 11:07 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 11 + 3*o**3 - 14*o + 21 - 4*o**3 + 5 + 12*o**2. Let f be m(11). Solve 0 = 4*q - 0*q - 2*p - 2, f*q = p + 5 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19480457 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/37)\/q*q**(-5))\/(q*q**(-3))**(-2\/49) assuming q is positive.\nAnswer: q**(-10928\/1813)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - v - 2*g - 3 = 0, -4*v + 6 = 2*g. Suppose v*o - 2*o - 3 = 0. Suppose 4*y - 31 = -5*r, -o*y = -r + 4 - 32. Does 3 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -15*w - 24. Let d(u) = 5*u + 8. Let x(j) = -17*d(j) - 6*k(j). Let c be x(-2). Let i = 2686\/11 + -244. Which is bigger: c or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7004 (b) -1.076 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -52 by 22.\nAnswer: -26\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 73556 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 148*w**3 - 2*w - 21. Let l(s) = s**3 - s**2 + s + 1. Let m(k) = 2*l(k) + x(k). What is the third derivative of m(v) wrt v?\nAnswer: 900","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7722 and 20917.\nAnswer: 12424698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -8. Suppose y*q + 4*m = -10, m = 4*q - m - 16. What are the prime factors of 20\/q - 2\/(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 6:14 PM?\nAnswer: 11:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - 3*v - 2. What is s(6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 824*h**2 - 77330*h - 213. Determine s(-108).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 37*q**2. Let r(x) = 18*x**2. Give -2*b(j) + 5*r(j).\nAnswer: 16*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 9 + 2*k**3 + 18*k**2 - 8*k**3 - 4*k**3 - 9*k**2. Suppose x - 22 = -18. Suppose 2*d = d - 36. Let s(y) = -y**3 + y**2 + 1. Calculate d*s(g) + x*c(g).\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**2 - 27*l**2 - 19*l**2)*(0 + 0 + l) - 1009*l**2 - 6*l**3 + 1009*l**2 + 3*l.\nAnswer: -51*l**3 + 3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/((12\/(-10))\/((72\/(-15))\/(-6))).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of t**5\/60 + 5*t**4\/24 + 5*t**3\/6 - 3*t**2. List the prime factors of p(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16016 divided by -1\nAnswer: 16016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -74 - -293\/4. Let i be (4 - 2) + 3\/(-2). Let d = -1 + 1.1. Which is the nearest to 3? (a) d (b) w (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - ((-4 - (-4 + 3)) + 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, -4, 4, -5, 1, -23, 39.\nAnswer: -39, -23, -5, -4, 1, 4, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + -5 + 1 + -1. Let h(k) = 3*k**3 - 9*k**2 + 13*k + 9. Let q(l) = -l**3 + l**2 - l. Let o(v) = h(v) + 4*q(v). Calculate o(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -805\nAnswer: 3\/805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 18015c (base 14) to base 3\nAnswer: 1120221201020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -30015, -59912, -89697, -119370, -148931?\n\"Answer: 56*n**2 - 30065*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 49 - 11. Let r = 38.937 - -0.063. Let m = r - p. Which is greater: m or -0.1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 19*m + 78. Let o be l(-4). Solve 0 = 3*u - 2*u + o*x, 2 = x for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 141\/10?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00138498 to 6 decimal places.\nAnswer: -0.001385","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((6*sqrt(60)\/sqrt(5)*-4)\/(sqrt(32)\/(sqrt(8)*-2) + sqrt(4) - sqrt(4) - sqrt(64)*6))**2.\nAnswer: -13824\/2401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 41*v - 7324. Give y(180).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1685 + -0.5685. Let n = 0.29 + -0.3. Let v = 39 - 38. Put v, n, y, 2 in ascending order.\nAnswer: y, n, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1269945 is divided by 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/109207 and -56\/78005.\nAnswer: 546035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/8 + -16402*3\/24. Let y be 2\/(-3) - l\/123. Solve 3*j + y = 7*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143668252.\nAnswer: 2, 7, 13, 97, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(343) + ((sqrt(7) + sqrt(448))*6 - sqrt(7)))**2.\nAnswer: -480*sqrt(7) + 25216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 + 23*h - 4. Let z(g) = -g**2 + 22*g - 5. Let k(l) = 6*i(l) - 7*z(l). Let w be k(17). Let p = 32 - w. Solve p = 3*o + 16 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 245678161 to the power of 1\/3, to the nearest integer?\nAnswer: 626","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 115079814 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84 and 7171486?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4c75 + -3?\nAnswer: -4c78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 - 2032*p - 194975. Give i(-101).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5236 + 5307. Calculate the smallest common multiple of 497 and j.\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 6726534?\nAnswer: 2017960.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 340 and 19304605.\nAnswer: 77218420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 5) to base 16\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 5*h + 92 = 0, t + 3*t - 216 = 2*h. Suppose -4*m + t = 16. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*o + 220 - 28. Let k be (-14 - -11)*2\/o. Which is the second biggest value? (a) -8 (b) k (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3 + 149*x**2 + 1932*x.\nAnswer: -x*(x - 161)*(x + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -660*i + 660*i + 5482*i**2 + 19786*i**2.\nAnswer: 25268*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 <= 1063?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**0)**(-4\/31)\/(h**(-2\/11)\/(h**(-2\/9)*h))*(h**(-2\/3)\/h**1)**(12\/7) assuming h is positive.\nAnswer: h**(-43537\/21483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 11, v: 3}. What is prob of sequence iiii?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 246093 to the nearest integer?\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 127753467?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1200021112 (base 3) to base 12.\nAnswer: -17128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 AM and 9:49 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, z: 2, t: 1, u: 1, i: 6, m: 6}. What is prob of picking 1 z and 1 i?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vq when two letters picked without replacement from svq?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147298 is divided by 150?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4437 and 884866473.\nAnswer: 4437","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1*(sqrt(1900) + -3).\nAnswer: -6 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.9 + -3. Suppose -g + 9 = 5*c, 0 = 2*g + 5*c - 3*c - 26. Let s be 1 + (g - 12)*(-10)\/4. Put 0, s, u in decreasing order.\nAnswer: 0, u, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64656.1 decades to years.\nAnswer: 646561","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 17*l**2 + 13*l**2 + 6*l**2.\nAnswer: 2*l**2 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u**3 + 2*u**2 + 10052*u + 20108. What is a(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + w - 2*w + 3736, -5*w + 11216 = 3*v. Suppose -4*x = -2*g + v, 2*g - g + x = 1857. Let z = 3137 - g. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44520\/21 - (-12)\/2 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 8:55 PM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -0.132 (c) -3 (d) 0.5 (e) -2\/41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 51418480?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*f**2 - 3*f**3 - 54*f**2 + 21*f + 172*f**2 - 56*f**2.\nAnswer: -3*f**3 + 21*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1400 a factor of 8645000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -808 - -40.\nAnswer: -768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 15, 3*b + 49 = 6*b + p. Calculate the smallest common multiple of b and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)\/(sqrt(196) - (sqrt(196) + 1*sqrt(196))) + sqrt(66)\/sqrt(6)*5*-4.\nAnswer: -141*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z - 3. Let r(k) = 2*k - 3. Let b be r(3). Let v be j(b). Solve -d + 3*d + 2 = v for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from immmimmilmiiclmj. Give prob of picking 1 c, 1 m, and 1 i.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 908*m**4\/7 - 58120*m**3\/7 + 389136*m**2\/7 + 1013536*m\/7 - 1280 = 0. What is m?\nAnswer: -2, 2\/227, 10, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -35 - (-32 - (-19 - 3))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 623?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*b + 2965 - 2785 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p + 3. Let h(m) = 1. Let a(v) = 3*h(v) - r(v). Let b = -1 - -1. Let u(z) = 2*z + b*z - z. Calculate a(u(c)).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*c + 299840 + 274540 = 9*c. What are the prime factors of c?\nAnswer: 2, 3, 3191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1960453 + 1960453 - 425*b**2 + 4 + b**2 - 4 + (-5*b + 0*b + 3*b)*(-b + 0 + 0) to f*b + t + c*b**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 5 = 2*r, 86*o - 55*o + 78*o + 4*r - 319 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 880850.9um?\nAnswer: 88.08509","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25146*v**4 - v**2 + 196*v + 1?\nAnswer: -603504*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**9\/k)\/k**(6\/7) assuming k is positive.\nAnswer: k**(50\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iyi when three letters picked without replacement from {i: 11, y: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.42209 take away -44184?\nAnswer: 44176.57791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14434, 14495, 14560, 14629?\nAnswer: 14702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 AM and 5:36 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + 0 + 2 + 7. Suppose -4*m - m + d = 4*u, -3*u + 52 = -5*m. Is u a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -37 + 22. Which is smaller: t or -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -2*z**3\/11 - 84*z**2\/11 - 1176*z\/11 - 5488\/11 = 0.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 2*x - 35 - 9, 2*x + 20 = 3*w. Solve 8 = 4*n - w for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 41629123 or 41629134?\nAnswer: 41629134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1560 - 1505. What is the remainder when 10169 is divided by o?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7395 + -7375. Suppose -101 = -d + 5. What is the remainder when d is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/8 of a millennium?\nAnswer: 16500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10215*v**4 - 550*v**2 - v.\nAnswer: 245160*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 + 8*a - 14. Give g(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18305870 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/17)\/d*d*d*(d**(-10)*d)\/d*d*(d**0)**(11\/2))**(15\/7) assuming d is positive.\nAnswer: d**(-2070\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 507 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -1.8. Suppose 1 + 3 = -4*y. Let g(f) = 2*f**2 + 1. Let o be g(1). Which is the smallest value? (a) y (b) i (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2845 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -2, 36, -679 in decreasing order.\nAnswer: 36, 2, 0, -2, -679","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3\/4, 0.3, 4, 120, -6.\nAnswer: -6, 0.3, 3\/4, 4, 5, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 + 8*q + 3. Let z be ((12 - 2)\/2)\/1. Suppose c - 28 = z*c. Calculate r(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 - 87*k + 2057. What is v(54)?\nAnswer: 275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25 + 79. Suppose 0 = -3*a + g - 11. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 39\/(-8) - (-1)\/(-8). Let q(j) = -3*j**3 + 7*j**2 - 7. Let c(a) = -2*a**3 + 5*a**2 - 5. Calculate l*q(i) + 7*c(i).\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 5572259?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 984.3177 litres to millilitres.\nAnswer: 984317.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-2) + 49\/14*-2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135180 is divided by 786?\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4262 - -4261.6. Which is the smallest value? (a) -1\/8 (b) p (c) -0.3 (d) 0 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1561*x + 4391 + 3414 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v**3 + 22*v**2 - 39*v**2 - 5 + 19*v + 14*v**2 + 3*v to c*v + f + j*v**2 + n*v**3 and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -15178 > 5\/93?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 54.138 - 54. Let p = x - 0.138101. Round p to five dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-36)\/v)**48*(v*v**(-5))\/(((v*v**21\/v)\/v*v)\/v) assuming v is positive.\nAnswer: v**(-1800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -4, 0.019, -17716?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (((-1*sqrt(1539))**2 - sqrt(1539)) + sqrt(1539))*3 + -5*((sqrt(57)\/sqrt(3))**2 + -5 + sqrt(19) + 2*-1*sqrt(19)) + 1.\nAnswer: 5*sqrt(19) + 4550","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4636, 19444, 44132, 78694, 123124?\nAnswer: 177416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 12 = 6*c + u, -4 = -2*c - u. Find the third derivative of -2*f**4 - 3*f**4 + 8*f**3 - 2*f**4 - 83*f**2 + 8*f**c wrt f.\nAnswer: 24*f + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1420*n + 1469*n - 6945897. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (13\/104)\/(3\/2 - 2). Let h be 13\/(-1)*-1 - -2. Let i(m) = m**2 - 16*m + 17. Let s be i(h). Which is the closest to -6? (a) s (b) 5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1129 divide 5773706?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 9. Suppose -3*h + 2*x - 8 = 3, 5*h = 4*x - 19. Let u = h - b. Put u, -3, 0.5 in ascending order.\nAnswer: -3, u, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p - 1. Suppose -10*o + 15 = -5*o. Let m(k) = 2*k**2 - 11*k + 3. Let j(z) = o*d(z) + m(z). Find the second derivative of j(w) wrt w.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 4. Let s(g) = -g - 6. Let n be s(k). Is (7\/2)\/((-3)\/n) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 10, l: 2, q: 3, w: 1, m: 1}. What is prob of sequence qmwl?\nAnswer: 1\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**3\/7 - 588650*u**2\/7 - 43312131150*u\/7 + 216575372250\/7 = 0.\nAnswer: -147165, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3c0 (base 14) to base 15.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 336, 6, 1 in ascending order.\nAnswer: -11, 1, 6, 336","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -75, -4\/7 in decreasing order.\nAnswer: -4\/7, -1, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 609 - 581. What is the remainder when l is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**5 + 10*p**5 + 4*p**5 + (-2*p**4 - 3*p**4 + p**4)*(p - 5*p + 2*p).\nAnswer: 22*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 14 (b) -2\/7 (c) 8 (d) -2.22 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 456266081 to the power of 1\/2, to the nearest integer?\nAnswer: 21360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g - z + 7, 17*g - 15*g - 16 = -4*z for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + 67*j**2 - 250*j - 117. Let p be g(63). Let q(h) be the third derivative of h**4\/12 - 19*h**3\/6 + 2*h**2. What is q(p)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13762021291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m + 2*v + 2, 0*v + 0*v - v = -3*v + 3*v - 4*v for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -36 + 6. Let x = q + 29.3. What is x rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6427849923 to the nearest integer?\nAnswer: 80174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 140413 (base 6) in base 9?\nAnswer: 18880","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1516 + -140?\nAnswer: 1376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(13\/2))\/(o\/(o\/o**(3\/8)))*o*(o\/(o\/(o\/o**(1\/7))))\/o*o*o*o**21 assuming o is positive.\nAnswer: o**(1007\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*t**5 - 4126*t**4 + t**3 + 155610*t - 1 wrt t?\nAnswer: 340*t**3 - 49512*t**2 + 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -2\/7 (b) 2 (c) 64\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 52820 = 5*s, -8*s = -13*s - 20. What is f rounded to the nearest 1000?\nAnswer: -53000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3183 - 3215 = 16*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -330101122 - 3?\nAnswer: -330101131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -160347, -160073, -159799, -159525, -159251?\n\"Answer: 274*g - 160621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 3)*(2 + 1 - 1)*(-12 + 20 + 11)*(2*u + 1 - 1).\nAnswer: 76*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 272872 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/828 and 65\/198?\nAnswer: 9108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by -133.\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 2*w + w - 9 = 0, -5*g + 2*w = 6. Find the common denominator of 0 - 51\/(-30) - g and 13\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*i + 1242625109 - 1242625107 - 142*i.\nAnswer: -236*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -106 or -4344\/41?\nAnswer: -4344\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132243 = 291*j + 138936 for j.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = -68 + 2. Which is smaller: v or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3132122202210 + 12?\nAnswer: 3132122202222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*c + 9 = -5*x, 29 = 3*x + 5*c + 26 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4*6)\/(5\/5). Let h be 2\/(-2)*s + 1. Solve 5*u = h, -3*u = 3*c - 0*u - 27 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*y + 2490 - 6729 = 47*y + 4588 for y.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3432 + -2206. Let q = d - 562. List the prime factors of q.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22.6 + 21.61. Let i = 0.36 + z. What is i rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.17 + 1.17. Suppose 3*r - 2*r + 15 = 4*z, 2*r - 9 = -5*z. Which is the closest to t? (a) r (b) 0.04 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35350 divided by 70.\nAnswer: 505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 4*c - 3. Determine l(-7).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 3724856\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 915 + -912. Suppose 229 + 349 = 5*x + 2*z, x - 3*z = 119. Suppose -x = -a - v*a. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(2\/(-2)*13). Let z = -11.055 + 13.055. Which is the nearest to 0? (a) -4 (b) m (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93.06844 nanometers in millimeters?\nAnswer: 0.00009306844","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-160)\/(-140)*(-112)\/(-32).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/10 and 77\/1886.\nAnswer: 9430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 123, 119, 113, 105, 95, 83, 69?\n\"Answer: -g**2 - g + 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -2\/33 (b) -545\/32 (c) -2 (d) 0.1 (e) 4 (f) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, w: 2, f: 4}. What is prob of picking 2 f and 2 w?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 78\/275 - (628 - 643 - 373\/(-25))?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2ca8 + -13?\nAnswer: -2cbb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 158*z = -161*z - 83230, 0 = -5*x + 4*z + 83230. Is 14 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a - 2858*a**2 + 9130*a**2 + 2*a.\nAnswer: 6272*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -7*i**2 + 14*i - 4. Let r(m) = -3*m**2 + 7*m - 2. Let d(z) = 5*r(z) - 2*u(z). Does 4 divide d(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 169149293.\nAnswer: 169149293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + -5)\/(12\/(-12)). Differentiate -r*c**3 + c**3 + 6 - 3*c**3 wrt c.\nAnswer: -18*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 464 + 4?\nAnswer: 501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 - 7*a**2 + 5*a + 7. Let o be 0 - (-5 + -3 - -1). Let l = o + 10. Let s = l + -11. Calculate d(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -164262*n**4 + 328533*n**4 + 2*n - 780*n**2 + n**3 - 164266*n**4 to the form m*n**2 + p*n + q + h*n**4 + t*n**3 and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 2*h. Suppose 6*s - 2*s = h. Suppose -2*q + w + 235 = s, q - 92 - 13 = -2*w. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -577585535*s**3 - 672*s + 35832.\nAnswer: -3465513210*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 9215, 18430, 27645, 36860, 46075?\n\"Answer: 9215*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.22 in 0.3, 3, -27\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1104?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, r: 1, t: 1, w: 1, h: 1}. What is prob of picking 1 w and 1 l?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 8*v**4 + 1954*v**3 + 2336*v**2 - 22866*v - 5832 = 0.\nAnswer: -243, -4, -1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.017, 3, -1.9, -55, -6?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gvvvgggvgqqg. What is prob of sequence gg?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38906793.\nAnswer: 3, 71, 60887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/48 and 191\/6720?\nAnswer: 6720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40631 is divided by 43?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 30\/18 + (-2)\/(-6). Let n = 767 + -545. Let h = -213 + n. Solve w + 3*x - m = 1, h = 3*w + 5*x for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 118997.63 to the nearest 10000.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of -k**3\/2 - 4*k. Let n(i) be the second derivative of 0*i**2 + i + 0 + 1\/6*i**3. Give h(n(v)).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 0.35\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 239432 * 813.\nAnswer: 194658216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.2 (b) -289 (c) 4 (d) 25\/7 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*b + 14*b = 872075 - 5461075. What is b rounded to the nearest 1000?\nAnswer: 184000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1503, -821, -139, 543, 1225?\nAnswer: 1907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 3*s - s**2 - 26 - 5*s + 43. Let g be w(-5). Find the second derivative of 17*l**5 + 10*l - 4*l**g + 7*l**2 - 3*l**2 wrt l.\nAnswer: 340*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is ((2255\/(-44))\/(-41))\/((-10)\/320)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -58 (c) 5 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2178?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -41 or -54155\/1289?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - (-2 - 0)) + -3. Let i be ((-2)\/k)\/1*0. Suppose i = -0*f - 4*f + 16. Solve 0 = f*x - 0*x + 16 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**9)\/f)\/(f\/(f*f**(-2\/35)))*(f**0)**(6\/17) assuming f is positive.\nAnswer: f**(313\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 136553 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 4*c - 3*j - 15, -5*c + 5*j + 25 = 0. Let p be -2 - (17\/(-57))\/((-1)\/(-6)). Do p and c have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.9 - 0.1. Let j = 1466 + -1464. Let q = -2 - -2.4. Which is the third biggest value? (a) s (b) q (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40062 and 19800?\nAnswer: 12018600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 11*a + 491. Determine v(-44).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1100) + -1 + -5*(-2*sqrt(1100) + sqrt(1100)) - (-1 + sqrt(1100)*2*3))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 - 2*n**2. Let v be k(-2). What is the smallest common multiple of (-3 - v) + 5 + (-1 - 0) and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37976 = -2*z - 3642. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13273 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*-1*((-665)\/10 - 2). Let q = 50 + l. What are the prime factors of q?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39824 is divided by 1080.\nAnswer: 944","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 80502.\nAnswer: 644016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1550385?\nAnswer: 3, 5, 131, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qkcy when four letters picked without replacement from {k: 1, c: 1, y: 1, q: 1, r: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(24)*6*1)\/((sqrt(15) + -4*sqrt(15)*-1)\/(sqrt(20)*-1)).\nAnswer: -48*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -346697, -1386803, -3120311, -5547221, -8667533, -12481247, -16988363?\n\"Answer: -346701*u**2 - 3*u + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 9:15 AM?\nAnswer: 10:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1516 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-6*3\/(-45))\/(3\/(-15))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36 - -33. Let k be (4*d - -3)\/1. Is (-2)\/k + 4514\/18 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 3 + 1. Let m be -4 + 3 + 4\/(60\/27). Is m less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 divided by -12?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 248\nAnswer: 3\/124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12)\/(-39))\/(1*-2). Let v = -3 - -8. Let g = 0.6 - 0.2. Which is the nearest to -2\/3? (a) g (b) v (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of 65*g**2\/2 + 20*g - 38. List the prime factors of i(3).\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2c + -11?\nAnswer: 1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 63234503 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 1 = -4. Suppose s = -4*y + y - 12, -b*s + 16 = -4*y. Suppose 0 = 5*d - 10 - 0. Solve d*z - r + 2 = s, r - 4*r = -4*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20540917 at least 20540909?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from gnngg.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*s + 3 - 2*s - 6*s.\nAnswer: -s + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13.605 + -28446.\nAnswer: -28459.605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -5*t + 64, -5*q + 0*t + 2*t + 80 = 0. What is the first derivative of q - 13*n - 5*n - n wrt n?\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 255462?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5 + 57\/12 - (-5781)\/4. Let z = -1000 + c. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of 17*d**7\/210 + 2*d**5\/5 - 14*d**2. Find the third derivative of s(x) wrt x.\nAnswer: 408*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/(-2))\/((-2)\/4). Let b be 102\/(1 + 1)*g. Let x = b - -96. What is the greatest common divisor of 18 and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -9*q - 15. Let x(p) = -6*p - 10. Let m(o) = 5*f(o) - 8*x(o). Let y(v) = v + 1. Let b(w) = 2*w - 3. Let r be b(1). Determine r*m(u) + 5*y(u).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**12*h*h**11*h**(-11)*h**(1\/19)\/h assuming h is positive.\nAnswer: h**(229\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 14453739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84)*-1*1 + sqrt(84) + sqrt(84) - sqrt(84) - sqrt(84)) + sqrt(84) + sqrt(84) + sqrt(84))\/sqrt(12).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -304*w + 305*w = 111*d + 561, 2*d + w = -4 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 78 and 426492?\nAnswer: 5544396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1648800 less than 1797.35143?\nAnswer: -1647002.64857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 81534 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/58 + 2\/10*(-69283)\/(-127165).\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*h + 40*h + 38*h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -471*z**2 + 153 wrt z?\nAnswer: -942*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11312112233 - 22?\nAnswer: -11312112321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - 22*f**2 + 13*f + 215. What is s(19)?\nAnswer: -621","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1946 > -48644\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8\/1829 - 177285\/29264. Let k = 1630 - 337417\/207. Let u = k - 347\/92. Find the common denominator of u and q.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1324687 to the nearest integer?\nAnswer: 1151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -71255 and -3.\nAnswer: 213765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1869642?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -824 + -5b30d?\nAnswer: -5bb33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.293 - -0.193. What is the smallest value in 7, -5, d?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + -1.5. Round j to 0 decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 4115983727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -273 + 15324?\nAnswer: 15081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k - 3. Let s be b(-3). Let t be (s\/27)\/((-1)\/3). What is the nearest to -2 in 2, 5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 + -26 - 6) + 28 + -1 + -3.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 2 + 3 + 11 + 3 - -3.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2163742 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6153 bigger than -17493?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + -12 + (1 - 4) + -5 - -3?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10140 and 76388?\nAnswer: 676","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -11200 divided by 2240?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5457.096ug in milligrams?\nAnswer: 5.457096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/13*-2)\/(-4 - -2).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2244 + 1431313?\nAnswer: 1424014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -l - 10. Let n(i) = -4*i + 5. Let s be n(l). What is the common denominator of 497\/90 + 5\/s and -95\/16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of p**7\/2520 + p**6\/240 + p**5\/60 + 3*p**2. Let b(k) be the third derivative of h(k). What is the derivative of b(x) wrt x?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29588095 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38025, 152107, 342233, 608391, 950569?\nAnswer: 1368755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*m - 23*m + 4*v = 4, 2*m + 5*v = -2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -107\/297?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 + -36 + (1 - -2) + 9 + -64?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 184, 5, 0.1, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -646 - -1087. What are the prime factors of y?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.4833 * -350\nAnswer: -1569.155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 172\/5 + -34. Let o(u) = u - 2. Let q be o(0). Sort y, -4, q.\nAnswer: -4, q, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 5:44 AM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -l, -2*u + 6 = -3*l. Suppose 1 = o - 6*p + p, 0 = -p. Solve o = -u*d - 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 1:57 PM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*g*v**3 - 570*g*v - 608*g + 1488064*v**3 wrt v.\nAnswer: 36*g*v + 8928384*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*l**3 - 9*l**3 - l**3 + l**3.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*-4*4\/24. Let b = -1 - y. Suppose 0 = 3*f + 5*i + 1 + b, f - 5*i - 26 = 0. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o - 220 + 212 = 0. Let f be (-26)\/4*(-1 - 1). What are the prime factors of (f\/52)\/(o\/(-436))?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4851 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-342)\/81)\/19)\/((-3)\/(-1134)*3)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of ((-375)\/(-6) - 6)\/((-2)\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -64*p + 29 + 227. Sort p, 1, -2, 0.014 in decreasing order.\nAnswer: p, 1, 0.014, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 PM and 6:28 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2476, 2652, 2830, 3010, 3192, 3376, 3562?\n\"Answer: u**2 + 173*u + 2302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 17*u + 111. Let l(r) = 2. Let v(f) = i(f) + 5*l(f). Let q be v(-7). Solve q*g = -2*g + 5*p - 4, -5*p = g + 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8036 divided by 4?\nAnswer: 2009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.34 and 0.0732571616.\nAnswer: -0.2667428384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 112887346?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14320441 + 12?\nAnswer: 14321003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of -t**10\/75600 - t**9\/10080 - t**8\/3360 - t**7\/2520 + t**5\/10 - 3*t**2. Let a(l) be the third derivative of w(l). Factor a(m).\nAnswer: -2*m*(m + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of u**8\/168 + u**4\/12 + 2*u**2 - 1. Let o(y) be the second derivative of t(y). What is the second derivative of o(i) wrt i?\nAnswer: 40*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 353 = 382*w + 2263 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.40883258 - -272?\nAnswer: 271.59116742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -94558 equal to -94557?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqll. What is prob of sequence ql?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.92 rounded to 1 dp?\nAnswer: -4.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*i**3*m + 28770923*i*m**3 + 3*m**3 + 15*m**2 + 780*m - 26 with respect to i.\nAnswer: 6*i**2*m + 28770923*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**0\/q)**(1\/78)*(q\/((q\/q**(7\/2)*q)\/q))\/q**(2\/23) assuming q is positive.\nAnswer: q**(3050\/897)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 56 and -0.04.\nAnswer: -2.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -5*d + 4. Let i(b) = 9*b - 7. Let f(m) = -3*i(m) - 5*l(m). What is f(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*u**3*z**3 + 5*u**3*z - 17*u**2*z**2 + 281*u*z**3 + 2*u*z + z wrt u.\nAnswer: 18*u*z**3 + 30*u*z - 34*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 80.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -3*g**3 + g + 3. Let c(f) = 17*f**3 - 418*f**2 + 923*f - 15. Let u(o) = -c(o) - 5*h(o). Find the second derivative of u(r) wrt r.\nAnswer: -12*r + 836","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 + f + 2. Let h be ((-36)\/10)\/(4\/(-10)). Suppose 2*m = -m + h. Calculate the remainder when 41 is divided by y(m).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 4, 38\/41 in increasing order.\nAnswer: -8, 38\/41, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k. Let i(m) = -291387*m. Calculate i(a(w)).\nAnswer: -582774*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 q when three letters picked without replacement from {l: 3, i: 1, r: 3, q: 3, k: 1, z: 4}?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1172*p + 1425*p + 3542 = 0 for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 107 + -150. Suppose -g - 297 = t - 0*t, 3*t + 891 = 2*g. Let m = t + n. Round m to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 3*b = 0, 0 = -3*x - b + 45. Suppose 3*d - 3*s - 102 = 0, 5*d + 4*s - 67 = 2*d. Calculate the remainder when d is divided by x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) -3\/4 (c) 90\/107\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -464, -1765, -3920, -6923, -10768, -15449, -20960, -27295?\nAnswer: -34448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 12:18 AM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 9:03 PM?\nAnswer: 10:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 26889?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1447, 4294, 9015, 15586, 23983, 34182?\n\"Answer: -4*u**3 + 961*u**2 - 8*u + 498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4482 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/6 (b) 1\/4 (c) -9 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 14 - 47 = 4*r, 5*y - 15 = 0. Let j(k) = 4*k + 2. Let z = 7 - 2. Let o(v) = 4*v + 6 - 4 - v. Calculate r*o(p) + z*j(p).\nAnswer: 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(9\/5)\/x)\/x**(-7) assuming x is positive.\nAnswer: x**(44\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2340*l + l**2 + 2319*l - 4659*l. Let j(n) = -157*n**2 - 7. Determine j(x(c)).\nAnswer: -157*c**4 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 14935567 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 3*f - 1. Let x be i(1). Suppose 2*q - 4 = -0*q. Suppose 5*s = v - 17, v + 5 = -q*s + x*v. Put 4, 5, s in increasing order.\nAnswer: s, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j + 7*j**2 + 1 - 15*j**2 + 9*j**2. Let l(f) = -6*f**2 - 56*f - 3. Let y be l(-9). Suppose -10 - 11 = -u + 5*o, -5*u - 5*o - y = 0. Calculate r(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 472 - 317. Suppose 4*r - x = 5*t, 4 = 6*t - 2*t. Let f be 50*(r\/(-25) + 2). Calculate the highest common factor of f and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 3 + -3 + -14 + (-1 - 4)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(18)\/sqrt(2))\/sqrt(3) + sqrt(72)\/sqrt(6) + (sqrt(192) + (sqrt(192)*1 - sqrt(192))**2)*-5.\nAnswer: -37*sqrt(3) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 993 is divided by 166?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 709.7 + -710. Which is the fourth smallest value? (a) q (b) 3 (c) -20 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 - 8 = -11*k - 5 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 931375985 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1031 (base 4) in base 11?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-359)\/(-5))\/(1\/5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 20 = -5*n + 3*n, -2*p + 2*n + 34 = 0. Let j = 53\/3 - p. Sort -0.1, -2\/67, j.\nAnswer: j, -0.1, -2\/67","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 - 11*f - 99. Let t be u(-5). Is t <= -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -210 + 206. Sort -5, r, 1, -3 in decreasing order.\nAnswer: 1, -3, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -271277041 or -0.1?\nAnswer: -271277041","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1348192 * 0.399\nAnswer: -537928.608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 99.081 - 99. Let a = -0.0851 + p. Round a to 3 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 409 a factor of 27249997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -46.166183 and 0.5.\nAnswer: -45.666183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 377.67\nAnswer: 1888.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 - 25*b**2 - 136*b + 58. Is 10 a factor of x(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -142 (base 6) to base 8.\nAnswer: -76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 0, 2\/181, 1\/3, -3.04, -1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.111926t to nanograms.\nAnswer: 1111926000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 - 3*b + 3. Let m be h(2). Solve -t = -m - 3 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, -115, -464, -1151, -2290, -3995, -6380, -9559?\nAnswer: -13646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/530, 3, 1\/7, -2.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q = p + 11*q + 3, 1766*p + 16 = 1770*p + 2*q for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 3*y = -5*v + 10, v - y = 6. Sort -5, v, -167 in descending order.\nAnswer: v, -5, -167","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*l + 45 = -35*l. Put -3, 1.6, 1\/3, l in ascending order.\nAnswer: -3, 1\/3, 1.6, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-8)*c*c**11)\/(c**(-3\/5)*c*c*c\/c**(-7)*c) assuming c is positive.\nAnswer: c**(-32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*s + 847175 = 118571. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48 divided by 49236.\nAnswer: 4\/4103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 169 - 126. Suppose -14*f + x*f = 119509. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -3*m**5\/2 - 2193*m**4\/2 + 15000*m**3 + 3702378*m**2 - 3716280*m = 0.\nAnswer: -740, -54, 0, 1, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 173204 - 866006\/5. Suppose -h*g**2 + 8\/5*g + 4\/5*g**3 + 0 + 2\/5*g**4 = 0. Calculate g.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -124 - 31. Let s be 2\/(-10) - v\/25. Calculate the highest common factor of 4 and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 34503 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -143 (b) -1\/2 (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 150*b + 10. Let i(v) = -39*v - 2. Determine -15*i(t) - 4*m(t).\nAnswer: -15*t - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - 6*j**2 + j + 14. Suppose p + 12 = -2*x, -5*p + 637*x = 642*x + 45. Give h(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 72 - 123. Let u = 51.0000141 + m. Round u to 6 dps.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 926201197 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(5\/4)*n)\/(n**18*n) assuming n is positive.\nAnswer: n**(-67\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-8 - -11) + 2 - 0\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -46*h + 17 with respect to h.\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 12:10 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.37 + -0.37081. Round f to 4 decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*2*sqrt(102))\/(sqrt(726)*1).\nAnswer: -8*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 - -42. List the prime factors of u.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2*k = -40. Suppose -3*v = -v + k. Let w = v + 33. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((18\/(-4))\/(53 - 56))\/(5*(-16)\/(-2240)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3298052*t**2 - 3254689*t.\nAnswer: 6596104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = -17*x - 1286. Let v be -1 - ((-18)\/(-3) + -2). Sort v, x, 1 in increasing order.\nAnswer: x, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + -16191)*(-5 + 36\/8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 - -16. Suppose -g = 5*v - 243, 534 = 2*g + y*v - 5*v. Suppose 2*n = 3*o + 983 + g, -649 = -n - 5*o. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 2*y + y - 21, 2*f + y = 13. Let w(q) = -f + 8 + q + 1 - 5. Let g be 1\/((-3 - -4)*1) - 1. What is w(g)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 246405?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1 - -2) + -10 + 2 - -2) + -8 + 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72 divided by 72.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 2 - 0) + -2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22 and 1004674.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 + 2*r**2 + 4*r. Let u be c(3). Suppose -u*w = 3*o + 738, 2 + 3 = 5*w. Let q = 48 - o. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4254 + 651?\nAnswer: -3303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/44 and 37\/268485.\nAnswer: 11813340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) 133 (b) 5 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 + 16*c + 9. Let k be u(-16). Let a = k - 5. Suppose 0 = z - 0 + a. Which is smaller: 0 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6 - -1)*2\/5. Let t be (z\/(-3))\/(2\/3). Suppose -r = l + t, 3*r = 3*l - 5*l + 1. Solve 0 = r*n - n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 + 5*v**2 - 4*v - 5. What is s(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -99 + 101. Suppose b*i + 3*s - 5*s = 36, -3*i + 68 = 4*s. Calculate the lowest common multiple of i and 376.\nAnswer: 1880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -2\/9, 1\/8, -0.04773, 3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24 + 24. Let l = n - -3. What is the derivative of 5 + 2 + 4 - l*c**2 wrt c?\nAnswer: -6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -38100 to the nearest one thousand.\nAnswer: -38000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 483 - 488. What is the hundreds digit of (0 - 4)\/(x\/2735*4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -4. Let w(d) = 74*d - 24. Calculate 6*t(i) - w(i).\nAnswer: -74*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + g**2 + 9. Let c be n(0). Suppose 8*o - c*o = -2. Let i(r) = 2*r + r**3 - r - 2*r**3. What is i(o)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -450 minus 556351171?\nAnswer: -556351621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 0*p + 4*p)*(3*p**2 + 4*p**2 - 4*p**2) + 1 + p**3 - 1 + (-2*p - 1 + 1)*(-3 + 3 + 2*p**2) - 2*p**3 + 3*p - 3*p + p - 2*p**3 - p.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9815.4 + 5957. Round l to the nearest ten.\nAnswer: -3860","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/12)*k)\/(k*k**(-1\/11)))\/(k*k*k**(6\/13)\/k*k)**(-42) assuming k is positive.\nAnswer: k**(177707\/1716)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - w + 631 - 58, v + 3*w = -557. Let x = 979 + v. What is the hundreds digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 17*r + 2. Let z(d) be the first derivative of 7*d**2 + 2*d - 17. Let u(j) = 5*y(j) - 6*z(j). What is u(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1756726 or -12297076\/7?\nAnswer: -1756726","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -22 - 31 + 57*p + 57. Let c be y(0). Solve -c*f - 8 = -u + 1, 0 = -4*f - u + 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - -39) + (-39)\/(9828\/7380)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2cd + -1?\nAnswer: 2cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-154)\/28*2 + ((-192)\/(-36) - -9).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 16644 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -30563995 greater than or equal to -30563999?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49273.6734 minutes to weeks.\nAnswer: 4.88826125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1871.\nAnswer: 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 4*h + 12 = 0, -2*h - 13 = -r + h. Suppose 3*w = -11 - r. Is w less than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37081 is divided by 2060?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000072402916 to six decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1965*o - 31148*o - 29316*o - 4320*o)*(-3 + 2 - o + 0*o) to k + q*o + d*o**2 and give d.\nAnswer: 66749","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 - 18*w**2 - 63*w + 28. Let u be i(-13). What is s in 2\/7 + 3\/7*s**u - 1\/7*s**4 - 5\/7*s + 1\/7*s**3 = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 42844*a + 198. Let w be k(-2). Round w to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.81 - 0.11. Let z = g - 1.88. Let o = -0.08 - z. Sort -0.4, o, 1\/2 in decreasing order.\nAnswer: 1\/2, o, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.09? (a) -0.4 (b) 0.9 (c) 13.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*r + 478 = -2*k + 486, -2*r + 4*k + 10 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 137333 (base 8) in base 15?\nAnswer: e724","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19 and 30571.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.3 + 0. Let t be ((-217632)\/(-2112) - 103) + (-12)\/22. What is the third biggest value in -1, t, -9\/2, c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*u**2 + 94*u**2 - 50*u**2 + (-u - 2*u + u)*(-14 + 8*u + 14) - 5*u**2 + 2 - 2.\nAnswer: 19*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 12 + 28160*s.\nAnswer: 28160*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7704 and 2653600.\nAnswer: 23882400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p**3 - 6*p**3 - 2*p**3)*(0 + 2 - 7*p - p).\nAnswer: 104*p**4 - 26*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 835*p**2 - 7*p - 8. Let r be w(-1). Find the second derivative of k + 3*k**2 - 827 + r + k**3 + 3*k**2 wrt k.\nAnswer: 6*k + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21336830 a multiple of 521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5508 times 23489\nAnswer: 129377412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + -2*sqrt(704)*1)**2*-4 + (-2*(sqrt(704) - (-1 + sqrt(704) + sqrt(704))) - (0 + -1 + sqrt(704))) + 3)*-4.\nAnswer: 992*sqrt(11) + 45112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(180))**2 + -5 - (-6*sqrt(10)\/sqrt(2) + (3 + sqrt(5)*1)**2))*6.\nAnswer: 942","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -180736 + 361433 - 180714 - 3*c**2 + 2*c**2.\nAnswer: -c**2 - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5.5*0.338431\nAnswer: -1.8613705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 127057975 by -1.\nAnswer: -127057975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 6 = 0, 4*z = 2*u + 34 - 6. Suppose -z*x + 131 = -x + 3*g, 3*x + g = 77. Let v be 0*(1 + 0)*-1. Solve x = -v*d + 5*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 + 7*v**2 + 7*v - 8. Let h be b(-4). Solve -3*d + h = -0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -9*l**2 - 2*l**2 - l**2 - 6*l**2. Let m(g) = 3*g**2. What is j(m(n))?\nAnswer: -162*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-151)\/(-4) - ((38 - 28) + 287\/(-28))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*z - 48473 + 145392 + 3*z - 48471 - 48448.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 6:22 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*c - 19*c**2 - 8*c.\nAnswer: -19*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 55526 (base 9) in base 16?\nAnswer: 900f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4773.851s in milliseconds?\nAnswer: 4773851","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 2 - 5 + (6 - 3 - 2)*(4 + 1 - 4) - 12 - 5 - 17)*(-2*x**5 - 6*x**4 + 4*x**4 + 3*x**4).\nAnswer: 56*x**5 - 28*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1915)\/(-10) - 7 - 8. Let z = c + -176. Determine v so that -5\/2*v**2 - v**3 + 1 - z*v = 0.\nAnswer: -2, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of 2*u**2 + 7*u - 2. Does 31 divide m(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7 + -5)*-2)\/3\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -779 + 3039. What is the thousands digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121825.\nAnswer: 5, 11, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*g**2 + 2*g**2 + 26*g**2 + 11*g**2 to the form u*g**2 + q*g + s and give u.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 0 + (-2 - (0 + -4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12737, -12759, -12809, -12893, -13017?\nAnswer: -13187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 10:53 AM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -13032 (base 4) to base 15\nAnswer: -20c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a + 5 = 2*a. Let b(m) = -2*m**3 - 2*m**2 + m - 4. Let s = -7 + 7. Let c(p) = -6*p**2 + 5*p**2 + p - 5 + 4 + s*p. What is a*b(i) + 2*c(i)?\nAnswer: 2*i**3 + i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*5\/105*-3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 8. Suppose 0 = -5*n + l - 0. Suppose -t**4 + 0*t**4 - 2*t**2 + n + 2*t**4 + 0 = 0. What is t?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 7:32 AM?\nAnswer: 1:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 PM and 8:48 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-1*sqrt(190) + sqrt(190)))\/sqrt(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-7))\/((-21)\/1764*-9)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/w**(3\/14)))\/w**(1\/6))\/(w**(8\/7))**(-1\/26) assuming w is positive.\nAnswer: w**(25\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 5*s - 2 + 3, 2*s - 2*c = 14. Let m = s + 2. Let l(d) = -d**3 + 5*d**2 - 7*d + 6. Let u be l(3). Solve 0 = m*y - 2*y - u for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*r**4*s**2 - 4*r**3*s**2 + 8559*r**3 + 44*r**2*s + 2*r**2 + 11*r*s**2 - s wrt r.\nAnswer: 48*r*s**2 - 24*s**2 + 51354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of y**5\/60 + 7*y**3 - 6. Let t(m) be the third derivative of d(m). Let i(u) = 2*u + 2*u**2 - 2*u. Determine i(t(v)).\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 14899\/5 greater than or equal to 2980?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*i**2 - 764*i - 504.\nAnswer: -4*(i + 63)*(3*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -16. Suppose 0 = -j - 2*j + m. Let u = 4 - 8. Sort u, j, 3 in descending order.\nAnswer: j, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 16 + q + 40 - 4*q. Suppose 32*o - 598 = -22. Let c be k(o). Solve 3*m = -y + 2 - 7, -c*m - 6 = 2*y for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8 - 344432\/(-16401)) + -13. Is 0 at most q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -22 - -3?\nAnswer: -1f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of -n**4\/6 + 116*n**3\/3 - 3364*n**2 + 152*n. What is j in z(j) = 0?\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*(b\/((b\/(b*b\/(b\/(b*b*b**(9\/7)))))\/b*b))\/b)\/b*b)**(6\/5)*(b**(2\/23)*b*b)\/(b\/(b*(b*b**(-17))\/b*b)*b*b*b) assuming b is positive.\nAnswer: b**(-1895\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -156, -34, -2, 51\/7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3253 is divided by 371?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -43*o**5 + 12380*o**4 + 26135*o**3 - 10060*o**2 - 26092*o - 2320 = 0. Calculate o.\nAnswer: -2, -1, -4\/43, 1, 290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m + 24 = 8*m. Let z be -3*(8\/m + 0). Let t be (-2)\/(-2 + 3\/z). Solve -3 = t*f + 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 0. Let r = 65139 - 65139.1. Let h = -11\/46 + -6\/23. What is the third biggest value in -2\/5, k, r, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 27 = -5*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 660 + -656. Let f = 0.1 + -5.1. Which is greater: f or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28108*-600\nAnswer: -16864800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 19578*q - 43. Is s(1) 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 knkbhwnknnnnnnnnbkn. What is prob of picking 2 h?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 8. Let p be (-27)\/(-18)*4\/k. Which is the third biggest value? (a) -1\/5 (b) -0.4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -42 + 21. Calculate the remainder when (-21)\/49 - 450\/b is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of 139*t**4\/2 + 1734*t**2. Let v(w) = -w. Give j(v(y)).\nAnswer: -1668*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*u = 68*u - 25, 2*s + u + 5 = 0. Let j(g) = g**3 + 6*g**2 + 11*g + 5. Give j(s).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1944997508?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 - 5*y - 4. Let o be s(-4). Let h = 1120\/3 + -370. Let x = h - 7\/2. Which is greater: x or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -149*l + 16. Let o(q) = -465*q + 48. Determine 13*m(v) - 4*o(v).\nAnswer: -77*v + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/3200 and 77\/1480.\nAnswer: 118400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - -1. Suppose -h*d = -4*d + 8. Find the first derivative of -f**4 - 4 + 2 + 0*f**d wrt f.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 112620*b**5 - 17399*b**2 - 3?\nAnswer: 6757200*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d - 6. What is h(9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6 - 2 - (-6 + -3 - 10) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z + 9*z + 954 = 0. Let k = -475 + z. Solve 4 - 1 = 3*a, 2*t + k*a = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2\/15 of a millennium?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2041127100 divided by 103275.\nAnswer: 19764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(196)\/(-4*(sqrt(7) + sqrt(112)))*2 + -1))**2.\nAnswer: 2*sqrt(7)\/5 + 32\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = 1363301*n - 1363304*n - 27, 0 = 5*n + g + 28 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 681, 1409, 2139, 2871, 3605?\n\"Answer: u**2 + 725*u - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8349.\nAnswer: 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 8:43 PM?\nAnswer: 1:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 + 3*o - 29. Let i be t(-7). Let a be 3 - ((-33599999)\/i - (-4)\/1). Round a to the nearest 1000000.\nAnswer: -34000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 + 0. Let p = -1.8 + 17.8. Let m = 21 - p. Put 3, m, w in descending order.\nAnswer: m, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 137 - 163. Let y = 19.4 + h. Sort y, -2\/7, 0.5 in ascending order.\nAnswer: y, -2\/7, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3*k**3 - 5*k**2 + 4*k + 761. Let p(g) = -g**3 + g**2 - g - 254. Determine 2*d(y) + 7*p(y).\nAnswer: -y**3 - 3*y**2 + y - 256","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i - 23\/12*i**4 + 0 + 5\/3*i**3 - 1\/3*i**2 + 7\/12*i**5 = 0 for i.\nAnswer: 0, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 3*j**3 - 13*j**2 + 38*j - 245. Calculate f(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 440 and 24105125.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 = -17*f + 534. Suppose f*h - 7*h - 479570000 = 0. Round h to the nearest 1000000.\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11176423 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of g**5\/40 - 185*g**4\/24 + 8827*g**3\/12 - 24843*g**2\/4 + 5497*g. Solve w(u) = 0 for u.\nAnswer: 3, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -2*o + 96, 3 - 65 = -3*k - 4*o. Suppose 4*s - 3 = h + 4, -4*h = 2*s - k. What is the remainder when 17 is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -374*d - 1. What are the prime factors of g(-2)?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1020513230 (base 6) in base 14?\nAnswer: 15bd80a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/((2475\/(-490))\/5 + 1)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 499122792 and 6.\nAnswer: 499122792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-3\/8)*p\/(p\/p**(4\/3))*p**5\/p**(-2\/3))\/(p**(6\/11)\/(p*p**(-2\/11)*p*p*p))**(-7\/4) assuming p is positive.\nAnswer: p**(233\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 2\/3*c**4 - 8\/3*c + 2\/3*c**5 - 6*c**3 + 22\/3*c**2.\nAnswer: 2*c*(c - 1)**3*(c + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3166, 12569, 28248, 50209, 78458, 113001, 153844?\n\"Answer: l**3 + 3132*l**2 + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i - 9. Suppose -2 = n + 4. Let j be q(n). Let f(t) = -t**3 - 4*t**2 - t + 3. Let c be f(j). Are c and -4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s + 688. Let c(v) = 55887*v. Determine c(b(k)).\nAnswer: -111774*k + 38450256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-17)\/(-4) - 2\/8. Suppose u - 4*o - 5 = -3, -2*u - 2*o + r = 0. Let w(q) = 3*q**3 + q - u*q**3 - 1 + 3*q**2 - 6*q. Determine w(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8716 divide 922196380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5*o + 23 = 0, 0 = 3*u + o - 3*o + 20. Let v be (-3)\/(-6)*-6 - u. Solve -n = 2 - v for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-3)*-3 - (-92 + -10)\/6. Calculate the greatest common factor of 4780 and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 776\/10*(-130)\/(-52). Solve -179 = -3*w - y for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -5*t - 7*t + 1022. What is the remainder when 5683 is divided by t?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -217 (b) -2\/3 (c) 1 (d) 3\/2 (e) -9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1756*q**3 - 5262*q**2 + 3494*q + 12.\nAnswer: 2*(q - 2)*(q - 1)*(878*q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1135906334.\nAnswer: 2, 197, 2883011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + 9*d**2 - 2*d + 10. Let n(x) = x**3 - 10*x**2 + x - 11. Let a(k) = 3*n(k) + 4*s(k). What is the remainder when 36 is divided by a(4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of -n**4\/24 - 4*n**3\/3 - 4*n**2 + 12. Let f(x) be the second derivative of z(x). What is the derivative of f(y) wrt y?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9310 + 18621\/2. Let f(q) be the first derivative of 0*q + 19 + 1\/4*q**4 + 0*q**3 + x*q**2. What is the second derivative of f(k) wrt k?\nAnswer: 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1370*p + 4*p**3 + 346*p + 436*p - 5*p**3 to d*p**3 + c + v*p + s*p**2 and give v.\nAnswer: -588","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2751.\nAnswer: 3, 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 PM and 8:16 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 21201 (base 4) to base 8\nAnswer: 1141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*v**2 + 3308 - 1662 - 1645 - 4*v.\nAnswer: -17*v**2 - 4*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 + 2953?\nAnswer: 294a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -2*n**4\/11 - 46*n**3\/11 + 98*n**2\/11 - 50*n\/11 = 0.\nAnswer: -25, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -94.4944 * 0.4.\nAnswer: -37.79776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 349 is divided by 70?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3 and -2965?\nAnswer: 2968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -837, -1753, -2669, -3585, -4501?\n\"Answer: -916*q + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 59 and 767?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -3249*p**3\/2 - 169689*p**2\/2 - 2128351*p\/2 + 2301289\/2 = 0.\nAnswer: -1517\/57, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1021120 (base 3) to base 6\nAnswer: 4153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10221544 (base 6) in base 13?\nAnswer: a5b3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4574613 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 458*s + 1380. What is h(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 0. Let h(y) = 3*y**3 + 4*y**2 - 2*y**d + 0*y**3 - 2 - y. Let w be h(-4). Which is the third biggest value? (a) 3 (b) 0.1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -1.1, 1\/4, 6, 7 in increasing order.\nAnswer: -1.1, 1\/4, 0.5, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -241 - -105. Let k be s\/(-20)*(1 + 4). Let z = -12 + k. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -4\/7 (c) 0.02 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 5*x - 41, t - x + 0 = -1. Let w(o) = 7*o - 13. Let a be w(t). Let z = a - -9. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21798 is divided by 75?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*o - 5*d, 3*d + 13 = 5*o + 3. Solve -18*t + 40 = o*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**2 + 20337206*w - 20337204 = 0 for w.\nAnswer: 1, 10168602","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -10, -2\/3, -1\/45?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t + 4*t + 0*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 11 - 1)*(w**2 + 1214 - 169*w**3 - 606 - 610).\nAnswer: 1859*w**3 - 11*w**2 + 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 350628 and 116876.\nAnswer: 350628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*d**4 + 81861*d**3 - 2*d**2 + 34342307*d?\nAnswer: 72*d**2 + 491166*d - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 77*h**3 - 20*h**2 + 2*h + 55. List the prime factors of i(7).\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4325, 4323, 4321, 4319, 4317, 4315?\nAnswer: 4313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 112 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-44)\/(4928\/(-392))*(-1 + 26\/28)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -6*f**2. Let g(b) = 40228*b + 68. Determine g(w(s)).\nAnswer: -241368*s**2 + 68","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41251 is divided by 1992.\nAnswer: 1411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b**(-8)))\/b**(-1\/5))**(3\/7)\/((b\/b**(7\/4))\/b**(-9))**(-10\/3) assuming b is positive.\nAnswer: b**(2171\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 7*a - 1. Let c(u) = -4*u + 6. Let z(i) = -c(i) - k(i). What is z(4)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129757*q**2 - 129781*q**2 + 259551*q**2.\nAnswer: 13*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add 203 and 47.\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 82 and 686526550?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 652, 5299, 17954, 42637, 83368, 144167?\n\"Answer: 670*n**3 - 16*n**2 + 5*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvfvvvvvvvivvii. What is prob of picking 3 i?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 2581 + 1519. Let o = s - -1267. Round o to the nearest ten.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 176472871 and 3734.\nAnswer: 176476605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1546 or -1544?\nAnswer: -1546","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103115212 (base 6) to base 14.\nAnswer: 358bb2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 585741?\nAnswer: 3, 13, 23, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 1501\nAnswer: -3\/1501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1087057615?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 209145 + -208917. Suppose 5 - 2 = -w, -3*w - 57 = -2*y. Suppose 0 = 3*b - 150 - y. What is the remainder when z is divided by b?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + h**2 + 3)*(0 - 3*h + 0) + 70*h**3 - 149*h**3 + 1 + 121*h**2 + 80*h**3 in the form m*h + n*h**3 + k*h**2 + y and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*m - 2*m**5 - 7*m**5 + 12*m wrt m?\nAnswer: -180*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of -q**9\/3024 + q**7\/840 - 2*q**3\/3 + 3. Let h(a) be the third derivative of u(a). Find o, given that h(o) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*c + 81*c - 364 = 49*c for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 5 = -25. Let d = 5 - u. What is the nearest to 1 in -1\/6, d, 5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 12 (b) -1201.5 (c) 1.35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 45 + -28. Let u(p) be the second derivative of -2*p - 10\/3*p**3 - 7\/6*p**4 - 23\/2*p**2 - 40. Let x(r) = 5*r**2 + 7*r + 8. Calculate f*x(d) + 6*u(d).\nAnswer: d**2 - d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**4\/4 + 3329*x**3\/4 - 1524241*x**2\/2 + 113064355*x - 754391442 = 0. Calculate x.\nAnswer: 7, 174, 1574","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 717824.6 nanometers?\nAnswer: 717.8246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*m*o*s**2 + 6*m*o*s + 2*m*o + 2892*m*s**2 + 7*m - 18*o*s**2 - 132*o + 3*s + 2 wrt s.\nAnswer: 12*m*o + 5784*m - 36*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (297\/(-360))\/((-6)\/8) and -59\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -7*q**2 - 3*q - 3. Let m(s) = -s**2 - s - 1. Let z(c) = -g(c) + 5*m(c). Is 9 a factor of z(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -20*l. Let h(k) = 8293*k**2 - 34*k + 117. Let q be h(3). Let u(b) = -b - 74652 + q. Calculate -10*u(i) + x(i).\nAnswer: -10*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-6 - (-39)\/6). Let s = 21 + -19. Let z be (-3 - (-90)\/s)\/r. What is the highest common divisor of 35 and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z - 3. Let a(f) = -2*f + 7. Let x(o) = -6*a(o) - 14*q(o). Let n(u) = 3*u. Calculate n(x(d)).\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 132\/(-99) + 8677\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.6 + -13.4. Let k = -0.2 + -12.8. Let m = k - h. Put -0.3, 4\/7, m in increasing order.\nAnswer: -0.3, 4\/7, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c**3 + 403620*c**2 - 1210888*c + 807264 = 0. Calculate c.\nAnswer: -100908, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 317*s - 175 - 1410 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 73. Let i = 87 - r. What is the highest common factor of i and 350?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 382 (base 14) in base 10?\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 97929971 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k + 1. Let u(w) = 35*w - 28. Let d(b) = -u(b) - 28*y(b). Let h be (-22)\/(-55) + 26\/10. Let m(n) = -h*n + 45 - 45. Calculate -4*d(r) + 10*m(r).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8.6 - 1.6. Let o = -8 + h. Which is the nearest to 0.1? (a) 0.4 (b) o (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1676324 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(68))**2 + sqrt(119)\/(sqrt(21)\/sqrt(3)).\nAnswer: -11*sqrt(17) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 210\/12*8\/10. Let z be d\/(-77) + (-35)\/(-11). Let m(n) = 4*n**2 + 2*n + 2. Let o(h) = -h**2 - 1. Calculate z*o(r) + m(r).\nAnswer: r**2 + 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c - 2. Let r be u(4). Let s = r - 4. Let p = 13 - s. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 23 + 49. Suppose 0 = 121*f - 176*f - 36 + 311. Solve -2*t = -0*t - 5*y - f, 0 = -4*t + 2*y + s for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 10*i - 10*i - 21*i**2 + 12*i**2. Let q(c) = c - 4 + 4. Give q(f(x)).\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 40 (b) -1\/6 (c) 0.31 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23747*y - 154581*y + 15552*y - 24468*y.\nAnswer: -187244*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82201 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-15)*((-55420)\/816)\/(-163))\/(4\/56).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 899485 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0214667 to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 99 in -14060, -0.5, 1, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + -5. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1)\/1 - 1)\/(26\/(-16367)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*u**2 + 3*u - 3*u + (-u + 0*u + 0*u)*(2*u + 0*u - 3*u).\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-72)*(-21 + 13). Sort 2, k, -1\/2 in ascending order.\nAnswer: -1\/2, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5 + sqrt(24)\/sqrt(8) + -4).\nAnswer: -54 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 7. Let n = -3.2 - q. Let h = n + 0.3. Which is the third biggest value? (a) 0 (b) h (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 12. Let k(w) = x - 8 + w. Let o(r) = -5*r**2. Determine o(k(z)).\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7185556 a multiple of 427?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 218603.\nAnswer: 7, 11, 17, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 - -12. What is the common denominator of 180\/(-25) + x + 0 and -47\/9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*i + 2*i + 10, -4*l - 14 = i for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 + d. Let x be (207\/6)\/((-27)\/(-36)). Suppose -6*r + x = -2. Suppose -c + 12 = r. What is n(c)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14121, -29285, -44445, -59601?\nAnswer: -74753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {r: 19, e: 1}?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 4545\/(-135)*(-126)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -8. Let d(j) = -2*j**2 - 8*j. Let m(u) = -2*u**2 - 9*u. Let g(l) = -2*l**2 - 219*l - 4871. Let i be g(-31). Give b*m(s) + i*d(s).\nAnswer: 2*s**2 + 5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20519 + 20519.000015955. What is v rounded to 6 decimal places?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1959 + -1866. Suppose 2*o - 2*w + 0 = -6, 3*o = w + 1. Suppose -96 = -o*m - 2*m. What is the remainder when y is divided by m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**3 - j**2 + 2*j + 1. Let v be z(-1). Suppose v = o - 923 - 1396. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -26\/7 + 4. Let y = -0.033 - 1.967. Which is the smallest value? (a) h (b) 0.1 (c) y (d) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 601573 and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2799175 divided by 33725\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of 0*o - 4 + 13\/24*o**4 - 31*o**2 - 1\/60*o**5 - 34*o**3. What is the derivative of i(f) wrt f?\nAnswer: -2*f + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3123\/26536 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3881 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 30\/(-180)*(-12 + 5040\/415)\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8 or -56114?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d - 159. Determine k(-11).\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 731 greater than 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -1*((sqrt(55) + (sqrt(605)*2 + sqrt(605))\/sqrt(11))\/sqrt(5))**2.\nAnswer: -173","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (92 + 23*o + 9*o - 34*o)*(o**3 + o**2 - o**2).\nAnswer: -2*o**4 + 92*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, 0, 1, -5 in increasing order.\nAnswer: -5, 0, 1, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 452 + -452. Let j = 4.97 + 0.03. Let c = 2 + 1. What is the nearest to m in 4, c, j?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h + 45 = 10*h. Let f(o) = o - 22. Let d be f(31). Calculate the greatest common factor of h and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -119\/2*w - 723\/4 + 1\/4*w**2 = 0.\nAnswer: -3, 241","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 44236679 to the nearest integer?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -19 or -18934834?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1.2, 4, 2\/3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49\/36, -1\/4, 2 in decreasing order.\nAnswer: 2, 49\/36, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 135 (b) 4\/3 (c) -33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 0, 2*q + 6*k - 3*k = 4. Find the common denominator of (-136)\/6*q\/(-12) and -18\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 0 + 3)*(-2*r + 13*r + 4*r) to s*r + l and give s.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f**(2\/5)\/f)\/f*f*f*f*f*f**0)\/(f**0)**(-19))**(1\/85))**(-1\/28) assuming f is positive.\nAnswer: f**(-3\/2975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 25033.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -4*p + 10, -w - 4*w - 2 = -3*p. Find the third derivative of w - 2*f**3 + 0 + 4*f**2 - 2 wrt f.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -3*m + 4. Let i(p) = -p - 5. Let a(j) = -2*j - 15. Let q(d) = -4*a(d) + 11*i(d). What is 5*g(w) - 4*q(w)?\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/(-2))\/((9\/4)\/9). Let t(k) be the first derivative of 2\/3*k + 3\/2*k**n + 5 + 4\/9*k**3. Let t(u) = 0. What is u?\nAnswer: -2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51*(-5)\/((30\/25)\/(14\/(-35)))?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, s: 3, l: 2, k: 13}. What is prob of sequence hl?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 - 563*x**2 - 2150*x - 66901. What is r(567)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -147\/4*y**4 - 1596*y**3 - 1350*y**2 + 29 - 384*y. Let t(r) = 0. Calculate r.\nAnswer: -32, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**4 - 1036*h**3 - 1064*h**2 + 6240*h.\nAnswer: 4*h*(h - 260)*(h - 2)*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, -1080, 5\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 2*z + 35 = 0. Suppose 0 = l - z + 1. Suppose -3*p - p = 3*g - l, 0 = p. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 74*r - 187*r + 422*r + 3*r**3 - 312*r**2.\nAnswer: 3*r*(r - 103)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 6999540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7\/(-1)*6\/(-21) + -2. Suppose 0 = -4*g - j*q + 5*q, 0 = 2*g + 4*q - 26. Solve -g*t - 4*u - 13 = 4, -2*t + 7 = -3*u for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5db (base 16) in base 3?\nAnswer: -2001112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**2\/5 - 446*o\/5 - 644 = 0. Calculate o.\nAnswer: -7, 230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 622, 629, 636, 643?\n\"Answer: 7*t + 615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -o**5\/10 - o**4\/2 + o**3\/3 + 3*o**2 - 9*o\/2 + 37. Let t(k) = 0. Calculate k.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3 - 0.1. Let n be ((-8)\/(-36))\/(40\/90). Which is the third biggest value? (a) 10 (b) f (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33 - -61. Suppose -y = 3*d + 5*i - 95, -2*d + i = -23. Suppose -10*z - 2*z + 96 = 0. What is the lowest common multiple of z and d?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004186 to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 5*t**2 + 3*t + 3. Let k(x) be the first derivative of -8*x**3 - 7*x**2 - 14*x + 30. Let y(s) = 14*h(s) + 3*k(s). Let j(p) = 18*p. Give y(j(g)).\nAnswer: -648*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 16, -4, 796, -9, 2\/21?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 514\/168519 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1478 and 13271701.\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34, 21, 8, -5?\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.09581 tonnes in milligrams?\nAnswer: 53095810000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1994770077318 - 0.02?\nAnswer: 1994770077317.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express s**2 - 182 - 3*s**2 + 201 + 3*s**2 + 20*s**4 as l*s**4 + o*s + x*s**3 + y*s**2 + q and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 552, 1105, 1660, 2217, 2776, 3337?\nAnswer: 3900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 227 + 77 = 0. Suppose -32 = -k - 0*k + 3*b, -5*k + 5*b + d = 0. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 529.4697cm?\nAnswer: 5.294697","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 72636800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of s**5\/60 - 5*s**4\/8 - 2*s**3\/3 - 5. Let u(g) be the third derivative of l(g). List the prime factors of u(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.5 - 1.6. Which is the nearest to 0? (a) z (b) -0.2 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -20*u - 80. Let y be w(-4). Which is the closest to -2\/5? (a) y (b) -22 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1612 + 3201. What is the remainder when n is divided by 106?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**2 - 1866*o - 15. Determine w(0).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12013910?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 174 and 6?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -191*c + 38*c**2 + 382*c - 195*c. Let j(o) = -493*o**2 + 51*o. Let m(l) = 51*a(l) + 4*j(l). Let u(t) = t**2. What is u(m(n))?\nAnswer: 1156*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + w + 4 = 0, 106 = 4*t - w. Let v = t + -25. Calculate the greatest common divisor of 2 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 AM and 10:57 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -2\/25, 3, 0, -1.43277 in descending order.\nAnswer: 3, 0.4, 0, -2\/25, -1.43277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 505 = -327. Calculate the remainder when 214 is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -39 (b) -0.0489 (c) 2 (d) 0.3 (e) 0.01 (f) 3 (g) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 9. Suppose -162 = -26*t + 8*t. Calculate the least common multiple of b and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + -7. Suppose 0 = -5*f + f + n*l + 70, -2*f - l = -33. List the prime factors of f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 27 and -22.\nAnswer: -594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + 2*r + 2*r)*(r - 5*r + 5*r) + r**2 - 18*r**2 - r**2.\nAnswer: -17*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/(-7) - 2342\/(-8197). What is the fourth smallest value in 0.6, -3, 3, v, 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a millisecond in microseconds?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that k**2\/6 - 5*k\/3 - 11\/6 = 0.\nAnswer: -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2 = -3*b, -4*u - 5*b = -13. Suppose 20 = 6*z - z + 5*h, -2*z = -5*h - 29. Sort -4, z, u in descending order.\nAnswer: z, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5764 - -322835\/56. What is the common denominator of d and 19\/1592?\nAnswer: 11144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 96 and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 242589 is divided by 80757?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - (19 - (11 + -5)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 - -4)*2*2. Suppose n + 21 = k*l, -2*l + l = -3*n - 19. Suppose -l*a + 27 = -a. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -104 + -12113323?\nAnswer: -12113432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4266 + -2113. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31962, -31927, -31904, -31899, -31918, -31967?\nAnswer: -32052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12841714 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 330 and 10.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 460 divide 63913072?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2517?\nAnswer: 3, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -6*b - 15. Let r(p) = 3*p + 7. Let c(j) = 4*h(j) + 9*r(j). What is c(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 + 14 - (6 - ((2 - -6) + -1)).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a decade in months?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -3 + 34 + (-8 - -2) is divided by ((-6)\/8)\/((-1)\/12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1730 != 1731?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 2*k + 40 = 0, 32 = -2*m + 17028*k - 17024*k for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of 719*z**7\/210 - 43*z**5\/5 + z**4\/12 + 2*z**2 + 388*z. What is the third derivative of c(j) wrt j?\nAnswer: 17256*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((1*sqrt(147)*-1 - 3*sqrt(147)*1)*-6 + -2 + sqrt(147)*3 + 6*(-2 + sqrt(147)))**2.\nAnswer: -6468*sqrt(3) + 160275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -65729.92 rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 559899, 559821, 559741, 559659, 559575, 559489?\n\"Answer: -y**2 - 75*y + 559975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/8023 and -43\/4.\nAnswer: 32092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 - 9. Does 8 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 191162841?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-141)\/(-329))\/((-48)\/28)*24.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*u = 16*u - 118 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22.628 - 22.328. What is the fourth smallest value in -1, l, 722, -4?\nAnswer: 722","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a centimeter in micrometers?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 853454745?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -2 (b) 0.3 (c) 1.37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hghkhhkg. Give prob of sequence hk.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -165*n**2 + 131*n**3 - 4*n**5 + 293*n**2 - 377*n**3 - 76*n**4 - 74*n**3 + 272*n**2.\nAnswer: -4*n**2*(n - 1)*(n + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -148, -140, -118, -76, -8, 92?\nAnswer: 230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a**2 - 5*a**2 + 5*a**2)*(a**2 + 3*a**2 - 2*a**2 + (0 - a + 0)*(0*a + 2*a - 5*a)).\nAnswer: -25*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*b - 3*b - 21. Let k(x) = -186 - 2*x**2 + 181 - 55*x + 70*x. Let g be k(b). Let p(i) = 3*i**2 - 3*i + 2. Give p(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(330)\/((sqrt(1584) - (sqrt(1584) + sqrt(1584)*1 - sqrt(1584))) + sqrt(1584) - sqrt(11)))\/((sqrt(180)\/sqrt(27))\/sqrt(10)).\nAnswer: 3*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 AM and 12:21 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(2736)*2)**2 + 2 + 3 + (4*sqrt(2736) - sqrt(2736)) + 4.\nAnswer: 36*sqrt(19) + 10954","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + 0)*1*11. Let g(q) = 2*q**2. Let o be g(-1). Suppose 3*p = 4*m - 17, -27 = -6*m + m - o*p. Solve -2*i + z + 5 = -0*z, -m*i + h = -3*z for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a**3 - 2*a**2 + 3*a - 2. Let s be u(2). Calculate the highest common divisor of s and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -400430 (base 5) to base 13\nAnswer: -5985","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*i - 28 - 247 = 413 for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k*k**0*k)\/k*k*k)*k*k**(-2\/13))\/((k*(k*k**(4\/3)\/k*k)\/k)\/(k**(-3)\/k)) assuming k is positive.\nAnswer: k**(-292\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 619 divide 261837?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 1455.\nAnswer: 1\/485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 2*w + 1 - w - w + 4*w + 4*w - 3*w - 2*w + (3*w - 4*w + 3*w)*(-3 + 1 + 0) + 2*w - 2*w - 2*w - 21*w - 39*w - 44*w + (1 + 2 + 0)*(3 - 2*w - 3).\nAnswer: -113*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*u**2 + u**5 + 6*u**2 + (-17 + 1 + 8)*(u**5 - 4*u**5 + 2*u**5).\nAnswer: 9*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + 13*m**2 + 29*m + 9. Give h(15).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 403, 399, 405, 427, 471, 543, 649, 795?\n\"Answer: w**3 - w**2 - 8*w + 411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 3:00 AM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of 19*b**4\/24 - 2*b**2. Let o = 3 + -1. Is 13 a factor of g(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x**2 - 11*x - 42. Suppose 42 = -9*k - 3. Let u(i) = i**2 + 6*i + 22. Let q(l) = k*u(l) - 3*m(l). Is q(-9) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -121\/4, -5, -34, 2\/271 in increasing order.\nAnswer: -34, -121\/4, -5, 2\/271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -7123317 (base 8) in base 14?\nAnswer: -36c423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 9*g = -10. Calculate the remainder when g is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 h when three letters picked without replacement from ffhfjhjh.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -5, -4, -39, 214 in increasing order.\nAnswer: -39, -8, -5, -4, 214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -69*y**2. Let b(t) = 17*t**2. Calculate -2*a(i) - 9*b(i).\nAnswer: -15*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -80\/19*m - 86\/19*m**2 - 4\/19*m**3 + 0 + 2\/19*m**4.\nAnswer: 2*m*(m - 8)*(m + 1)*(m + 5)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1905 and 30861?\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 - 5*i**2 + 4*i + 1. Let b be n(4). Suppose -4 = -x + 5*f, 0*x = x + 2*f - 4. Which is greater: x or b?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -9*-1*1\/3. Suppose 6*l - 51 = p*l. Let o(b) = -2*b**3 - 13*b**2 + 7*b + 4. Let k be o(-7). Solve k*q - 5 = -l for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1950270149?\nAnswer: 1950270149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -25470\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.1653 to 2 decimal places.\nAnswer: -2.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wd when two letters picked without replacement from {q: 3, c: 1, w: 4, d: 12}?\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -101 or 58\/5?\nAnswer: 58\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 8*l**2 - 5*l + 4. Suppose 2*o - 10 = 4. What is the units digit of m(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 346 is divided by 87.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of 46 + 52\/3*u**6 - 7\/3*u**3 - 1\/2*u**2 + 0*u**4 + 0*u**5 + 0*u. What is the third derivative of a(j) wrt j?\nAnswer: 6240*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - 4311502?\nAnswer: -4311503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*g**2 + 7*g**3 - 20*g**3 - 11*g**2 + 11*g**3.\nAnswer: -2*g**3 - 43*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -64999*n**3 - n**2 - 2*n. Let y be p(-1). Round y to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 2*x = -150, b + 5*x + 45 = 3*b. Suppose -5*i + 10*i = b. Suppose 10*h = i*h + 33. Is h a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1114 (base 6) to base 3.\nAnswer: 100201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 3*w + a, a = 5 - 0. Suppose 80*n - 189 - 131 = 0. Solve n*b + 25 = 3*r, r = -r + w for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -36 + -132?\nAnswer: -170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101101000111000010110100 - -1?\nAnswer: 101101000111000010110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, z: 5, o: 2, i: 1, k: 7}. Give prob of picking 1 z, 1 c, 1 o, and 1 k.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003728847 to 6 dps.\nAnswer: -0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 520 a factor of 5107948?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*g**4\/4 + 21090*g**3 - 29988627*g**2\/2 + 2692343412*g + 10829435265\/4 = 0. What is g?\nAnswer: -1, 363, 27395","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 3*q, -q + 4 = -v + 2*v. Let w = v - 8. What is the smallest common multiple of (-5 - w)\/((-9)\/6) and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 203.7 or -9459?\nAnswer: 203.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 84 = 89 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3855f7 (base 16) to base 2\nAnswer: -1110000101010111110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 323 or 341?\nAnswer: 323","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2348, -2374, -2400, -2426, -2452?\nAnswer: -2478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-21798)\/(-31140))\/(2\/(-10*1)))\/2.\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -313? (a) 10 (b) 2\/11 (c) -0.158\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**7*v*v*v**(-2\/57)*v\/(v\/(v*v**3))*v**10*v)**(-2\/61) assuming v is positive.\nAnswer: v**(-2732\/3477)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -27*w - 1532. What is the remainder when 505 is divided by s(-66)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -696683638042637509\/2755636 - -1011285435439\/4. Let x = b + 46\/3497. Let p = 8298\/1379 - x. Find the common denominator of 67\/20 and p.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 3:00 PM?\nAnswer: 5:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of 5*u**4\/12 - u**3\/2 + 134*u + 2. Let i(w) = 10*w**2. Give m(i(v)).\nAnswer: 500*v**4 - 30*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 - 10*s**2 + s - 7. Let m be c(-10). Let x be (-1375)\/2*(31 - m). What is x rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -12\/25 and -79\/70.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -68411 - -100569. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 19d - -3bf?\nAnswer: 55c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -4*t - 19. Calculate the remainder when 94 is divided by t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*z - 55. Suppose 0 = m - 6 + z. Let j(h) = -5*h - 1. Let x(f) = 19*f + 5. Let w(l) = m*j(l) - 2*x(l). Determine w(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - b = 20. Let c(t) be the third derivative of -t**5\/60 + t**4\/4 + 2*t**3\/3 - 62*t**2. Determine c(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p + 4. Let y(x) = -6. Let o(q) = 2*y(q) + 3*z(q). Let u(n) = -35*n**2. Give u(o(c)).\nAnswer: -315*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95683288.\nAnswer: 2, 11960411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 + 0.895?\nAnswer: 1.395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 68863, 68551, 68239, 67927?\n\"Answer: -312*v + 69175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.52 - -42.52. Let d = -42.34 + a. Round d to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 51 - 44. Suppose 184 = x*o - 747. What are the prime factors of o?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 31*o - 18*o.\nAnswer: -49*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 - 13. Let j(h) = 2*h + 3. Let i be j(v). Suppose 0*x = -5*x + i*a + 89, 0 = -3*x + 3*a + 51. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12378 and 436553493?\nAnswer: 6189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1362093?\nAnswer: 3, 454031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23945*x**2 - 56*x**5 + 10*x**3 + 219*x + 23933*x**2 - 90*x**5 wrt x?\nAnswer: -8760*x**2 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + -3 - -5 - -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 - -32. Suppose s*p - 246 + 210 = 0. Solve 4*n = -p*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -51*2\/(-18) - (-52)\/39\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 99.\nAnswer: 9.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*c + 546 = 121*c - 28*c for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -893c2b (base 15) to base 9\nAnswer: -13272875","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55130?\nAnswer: 2, 5, 37, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -23*f + 183. Let c be v(8). Let x(w) = w**2 + w - 1. Let i(t) = t**2 + 8*t - 5. Let u(j) = c*x(j) - i(j). What is u(-7)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 21037 in -0.4, -0.02, 0.1, -5, -13, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -2*s**2 + 632*s + 7194 = 0.\nAnswer: -11, 327","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 15 = 4*l + 11, 2*h + 4 = -l. Let a be -25*9\/(180\/l). Is (-2)\/16*a*-24 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.42, -5\/4, 1\/2, -5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 5*w**3 - 4*w**2 + w - 9. What are the prime factors of a(4)?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 - 9*m - 1. Let s = -570 - -566. Determine u(s).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 - -13. Let s = -2 - h. What is the nearest to 0.1 in -1\/5, s, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, 1, 18, 45, 82?\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 16\/(-10)*(-5)\/2. Let a(t) = -2*t**2 - t + 3. Let c(b) = 2*b**2 - 2. Let y(z) = f*a(z) + 6*c(z). Find j such that y(j) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -322*z**2 + 2*z**3 + 6*z**4 + 321*z**2 - z - z + 1 to a*z + n*z**4 + r*z**3 + g + b*z**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1774096069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -688*v + 233*v - 1 + 225*v + 232*v.\nAnswer: 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/2 - 13\/(-13). Solve -2*c + 6 = h, 4*h - 13 = g*c - 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1293 (b) -174 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + -2. Let k = 0.1 - -0.4. Let p = 0.2 - k. Put d, p, 0.5 in increasing order.\nAnswer: d, p, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**2\/7 + 1554*f + 32616\/7 = 0. What is f?\nAnswer: -5436, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**4 + 0*s**4 - 3*s**3 + 4*s**3 + 2*s**4 + 0*s**2 + 0*s**2 + 7*s**3 + 6*s**4 - 7*s**3 + (-1 - s**2 + 1)*(4 - 4 - 2*s**2).\nAnswer: 9*s**4 + s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 4:21 PM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (14\/42)\/(2\/(-6)) + (-22)\/(-2). Suppose 2*l + 2 = 0, 0*h = -4*h + 2*l - 2. Let s be 15*(26\/6 + h). What is the greatest common factor of s and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*p - 2*y, p + 24 = -0*p - 5*y. Suppose 6 = -2*x, -4*h + 2*x + 9 = -9. Which is the biggest value? (a) p (b) h (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -144931, -145171, -145413, -145657, -145903, -146151, -146401?\n\"Answer: -t**2 - 237*t - 144693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*(-4 + (8 - 2)) + -6. What is the closest to -1 in 3, -1\/4, h?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -120*x - 133*x - 181*x.\nAnswer: -434*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k - 3. Let x(a) = -1. Let c(s) = n(s) - 5*x(s). Let w(f) = 2*f - 11. Suppose g + 3*u - 23 = 0, -2*g + 0*g + 41 = 5*u. Let m be w(g). Give c(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one fifth of a century?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (188\/14)\/((-2278)\/7973).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, v: 6, u: 1}. What is prob of picking 3 v?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 5*m - 12 + 3, 2*s - 11 = 3*m. Solve -y + 3*y + s*h = -2, -5*h = 3*y + 3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1415.2622 + 1416. What is a rounded to 1 decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*i + 11431 + 11521 + 11527 + 11530 - 46009.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 279835?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b. Let p be (-48)\/80 + 6\/10*1. Let g(r) be the third derivative of 0 + 1\/20*r**5 + p*r + 0*r**3 - 15*r**2 + 0*r**4. Determine g(c(f)).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*w**3 + 13*w**2 - 341*w**3 - 13*w**2.\nAnswer: -275*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m. Let n = -3 - -4. Suppose 5*b + 3*u + 3 = 0, -u = 2*b - n + 2. Suppose b = -p - 1 + 2. Let f(w) = 5*w - 2. What is p*f(k) - 4*r(k)?\nAnswer: k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 713 is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 - 6*m**2 + 3. Let l be r(6). Suppose l*s + 30 = 3*d, -29 - 11 = -2*d - 3*s. List the prime factors of d.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -24664*z**4 + 44*z - 2*z**3 - 2 - 178*z + 24659*z**4 as r*z**3 + g + y*z**2 + p*z + i*z**4 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000933310725 rounded to six decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = 4*v - 130. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3 = -o, -d - 24 = -6*d + 4*o. Suppose 3*y - 12 = -0. Suppose u = -r + y + 17, -d*r + 69 = -u. What is the lowest common multiple of 6 and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139911?\nAnswer: 3, 149, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 37 + -9. Let b be (-244)\/(-12) - (-4)\/6. Suppose -5*l + 0*l + v = u, -3*l + 2*v - b = 0. Sort -1, l, -2 in decreasing order.\nAnswer: -1, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y + 11. Let d be x(-9). Let j(u) be the first derivative of d*u - 2 + 0*u**2 + 1\/3*u**3. Differentiate j(v) with respect to v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 9*v + 308 = 0. Let o = v + -24. Suppose o*a + 3*x = -5, -2*a + 8*x - 4*x + 14 = 0. Which is smaller: a or -22\/3?\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -59\/11 + -1460\/99. Let q = 1159\/63 + y. Let u = 766 - 8397\/11. Calculate the common denominator of u and q.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000111000 - -100?\nAnswer: -10000110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9078 = -j + 5*l, -3*j + 2*j + l = -9074. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -6, -4 in decreasing order.\nAnswer: -3, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*j**2 - j**2 + 5*j**2 + (j**2 - 19*j**2 - 4*j**2)*(3 + 1 - 3) as l*j**2 + p + k*j and give l.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -m**3 + 1692*m**2 - 41741*m + 110022 = 0.\nAnswer: 3, 22, 1667","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Is 80 < 596?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 73*v - 4. Let a(y) = 147*y - 7. Let k(d) = 6*a(d) - 11*j(d). Let c be k(1). What is the highest common factor of 9 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0823 + -0.0923. Which is the second smallest value? (a) 7.4 (b) 1 (c) k (d) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 314595 and 180?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/241642 and -2\/31795.\nAnswer: 1208210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 249 = 4*s, 3*b = -b + 5*s + 1080. List the prime factors of b.\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1013278*y**3 - 2798*y**2 + 3*y wrt y.\nAnswer: -6079668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13717131.\nAnswer: 3, 23, 61, 3259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -5*k**2 + 97*k + 54. Calculate the remainder when q(19) is divided by 14\/7*(7 - 1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12077*o + 12124*o - 24149*o = 5356 for o.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 181486031?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 8 = -2*p, -p = -0*p - 5*w - 11. Suppose l = 1 + p. Solve 3*m = -l - 4, 4*m = -5*u - 13 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 17*n**2 + n. Let m(l) = -l**2 + l. Determine h(s) - 2*m(s).\nAnswer: 19*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/15 (b) 6 (c) -1 (d) -300\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6*(7\/(-2) - -2). Suppose -d = 2*m - m, -s = -2*m + d. What is the second derivative of 8*c - m*c**4 - 4*c**4 - 3*c + 4*c wrt c?\nAnswer: -84*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02749676 to 4 dps.\nAnswer: -0.0275","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + (31 - 71 - 19) + -14?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggxxkxhhgtxhhkxxht. Give prob of picking 2 g, 1 x, and 1 k.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(-1) + -1 + 4. Suppose -l*q + 9 = w, -w + 24 = -5*w + 3*q. Let c = w - -1. Let z(a) = a. Let p(d) = -d**2 - 2*d + 1. Determine c*z(i) - p(i).\nAnswer: i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1510?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) -1 (c) -10.3 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 560, 565, 572, 581, 592, 605, 620?\n\"Answer: r**2 + 2*r + 557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 121955 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001110011100000000011000 + -1011?\nAnswer: -10001110011100000000100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2960900?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of o**5\/5 + 16*o**4 + 94*o**3\/3 - o - 273. Factor l(a).\nAnswer: 4*a*(a + 1)*(a + 47)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95881641 is divided by 169702.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 165 + -164.5. What is the nearest to 0 in 2, -3, u, -4\/7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -243, -827, -1411?\nAnswer: -1995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 250*g + 969 - 1390 = 1829 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 + 9*b + 6. Let s be j(-9). Is (-3)\/s*-358 + 0 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -q - 3 + 3 - 4*q as n*q + y and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 4*u - 30, 3*u - u = -2*w + 14. Calculate the remainder when 15 is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 x when two letters picked without replacement from {p: 1, x: 6, m: 2, j: 1, w: 8}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 315995.\nAnswer: 5, 63199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4472*g**2 + 2985*g**2 - 3011*g**2 + 2453*g**2 + 5931*g**2 to m + s*g**2 + t*g and give s.\nAnswer: 12830","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1012.7+-430574\nAnswer: -431586.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 AM and 10:20 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14225 by 7.\nAnswer: -14225\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 40697, 81468, 122239?\n\"Answer: 40771*f - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 994\/155 - 417359\/62930. Find the common denominator of q and 35\/58.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1502 - 41535?\nAnswer: -43441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 3*z**2 + z. Let q be b(3). Suppose -3*m - 4*c = -q, 3*c + c - 12 = 0. Suppose m*w - 34 = 5*w. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16487 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -65.8 + 72. Let c = -4 + 10. Let t = j - c. What is the closest to -2 in 0.4, 0, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -32960586, -65921147, -98881708?\n\"Answer: -32960561*p - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (42 - 2 - 20 + 2*j)*(3 + 2 - 4) in the form k + x*j and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 - 6*i + 9. Let h be u(-7). Suppose -z = z + h. Let l = 8 - z. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21605.1730763 - 21596.3731. Let z = 8.8 - j. Round z to six dps.\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-7))\/d**(1\/10))\/((d\/d**4*d)\/d)**(-2\/47) assuming d is positive.\nAnswer: d**(-2927\/470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r**1)**(-1\/14))**(2\/19))**26)**(-28) assuming r is positive.\nAnswer: r**(104\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 162*o**2 + 548*o**2 - 16 + 16 in the form r*o + x + n*o**2 and give n.\nAnswer: 710","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 1.9. Let k = i + -3.9. Let d = -9 - k. Is d smaller than -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 3:29 AM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -145*f**4 + 95*f**2 - 2*f + 39*f**2 + 51*f**2 + 2*f wrt f?\nAnswer: -3480*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.7886 - -1.0886. Let o = 0.3 + -0.5. What is the biggest value in 0, o, 2\/11, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 + 2*v - 19. Let k be s(0). Let u = 21 + k. Let b be (-5 - -4)*-1*u. What is the nearest to b in 1\/4, -3\/4, 0?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12829 = 984*l - 9009 - 14570 for l.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4233984?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6 - ((7 - 7) + 3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**(-7)*f*f*f**(-7)*f)\/(f**1)**(2\/7) assuming f is positive.\nAnswer: f**(-65\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-5)*j**0*j assuming j is positive.\nAnswer: j**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 - (-200 + 119 + 174).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + 0*p - p)*(0 - 2 + 0 + 2 + 4 + 0 + 1 - 2 - 2 + (-1 + 1 - 6)*(4 - 2 - 3))*(3 - 7 + 2).\nAnswer: -14*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2297.\nAnswer: 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z + 1. Let g(u) = 7*u + 13. Let j(h) = g(h) - 6*q(h). Let a be j(-7). Suppose 1 = f - a. Solve -5*v + f = -4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 5*x + 17604448 = 17604477, -y + 5*x = -23 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -5075 divided by -151221\nAnswer: 725\/21603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10738679 at most 139602828\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 3*m**2 + m + 2. Let k be b(2). Let y(f) = f + 7. What is the units digit of y(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bk when two letters picked without replacement from {x: 1, r: 2, b: 1, q: 4, o: 2, k: 5}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11010 + 13300302210?\nAnswer: 13300231200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/6*-5*-2. Let h be 7\/j - 9\/15. Let m(f) = -f - 3. Let k be m(h). Which is the third biggest value? (a) k (b) 0.5 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 1 + 10 + (6 - 33 - 17)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bhxqt. What is prob of sequence tx?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 2 = -16. Let k = a - 6. Let s = k + 27. What is the remainder when 27 is divided by s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*t - 1207 = -1067 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 19 + 2667*r**3 - 8 - 10 - 5 - 390*r**3.\nAnswer: 2277*r**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(1 + sqrt(153) + sqrt(153)))**2.\nAnswer: 300*sqrt(17) + 15325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3521814 bigger than 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1936)\/(-1452))\/(((-1)\/18)\/((-3)\/(-3))).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/5, 5, -0.15, -196 in descending order.\nAnswer: 5, 8\/5, -0.15, -196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 244.7 + 5.06.\nAnswer: 249.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 70 - 257a3?\nAnswer: -25733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*q**2 - 15380*q + 231825 = 0. Calculate q.\nAnswer: -3091, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 - 6*b**2 - 4*b. Let w be x(-6). Let o be (-3)\/w*2*2. Is o < -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 175*p + 19342. Determine f(-96).\nAnswer: 2542","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32 + 95 + 101 + -78?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 greater than -210?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(4\/11)\/u)\/((u\/(((u*(u*u**(-1\/13))\/u)\/u*u)\/u))\/u)*(u**(-4))**(-1\/3) assuming u is positive.\nAnswer: u**(266\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174 = 1240*x - 1230*x + 4*s, 2*x - 400 - 246 = 12*s + 36 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/7709 and 83\/1911832.\nAnswer: 1911832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in 3, 0.11, -4, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ntntjija. Give prob of picking 1 i, 1 n, and 1 a.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1510 - 621. List the prime factors of c.\nAnswer: 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 591641417?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -310627161*h**2 + 155313581*h**2 + 155313581*h**2.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 22\/18 + 1504\/846?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 4) to base 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 + 4*j - 3. Let c be w(-5). Suppose f - 5*a = -3*f - 2, -f = -c*a + 2. Find the third derivative of 2*n**2 - n**4 - 4*n**2 + n**f wrt n.\nAnswer: -24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 132 = 5*s. Suppose -4*d = -d + s. Let z = d - -17. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -150 or -154?\nAnswer: -150","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 94 - 468\/5. Factor -2\/5*k**2 - g + 4\/5*k.\nAnswer: -2*(k - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - 0 - (-5 - -1) - -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -3*i**2 + 7629*i - 2659626 = 0.\nAnswer: 417, 2126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/276 and 37\/4.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2700 divided by 3\nAnswer: -900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 101 + -2 - 197 - (-5 + 12 - -5)?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d. Let t(g) = -344*g**2 - g - 2. Let b(f) = 1723*f**2 + 5*f + 11. Let o(c) = 2*b(c) + 11*t(c). Determine y(o(q)).\nAnswer: 676*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, k: 3}. What is prob of sequence xkx?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 520 - 520.544. Let j = r + 0.944. Let x = 0.07 + 3.93. What is the third biggest value in j, -0.29, x?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 3560869?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(121)\/(sqrt(88)\/(1*sqrt(8))) + (sqrt(44)\/(sqrt(4)*3)*-3)**2.\nAnswer: sqrt(11) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1)\/((r\/(r**6\/r*r))\/r))\/(r*r\/r**(-2)*r**(-7\/3)))\/(((r*r\/r**(-1\/3))\/r*r*r**(-3)*r)\/(((r*r**(5\/6)*r)\/r)\/r**(1\/9))) assuming r is positive.\nAnswer: r**(85\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a millennium in years?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*a = -29*a - 34. Determine p, given that 2\/3*p**3 - 2*p**a + 4\/3*p + 0 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v - 2. Let w(k) = 4*k - 5 - 2*k + 10. Suppose -30*m = -29*m - 5. What is m*t(x) + 2*w(x)?\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*v + 64566 = -k + 53*v, -3*k - 3*v = 193701. Is (-1)\/(k\/(-21524) - 3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 255226565?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 11 + 7 - 9374*q.\nAnswer: -9374*q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2183?\nAnswer: 37, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3c8 - -972?\nAnswer: 588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 346002 a multiple of 1048?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54768 and 378.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2889 smaller than -2891?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1089764 and 18.\nAnswer: 9807876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1726674 (base 9) to base 16\nAnswer: -eb111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1339\/12 - -359\/4. Let v = 502052035739\/29961954 - 53\/1361907. Let i = -16761 + v. Find the common denominator of q and i.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8257?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11104 (base 9) to base 14.\nAnswer: -298b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17 in -3, -51, 0.1, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 - 125712*o**2 + 126713*o**2.\nAnswer: 1001*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/10 and 57\/18001564?\nAnswer: 90007820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3122274.1319201 + -3122274. Let c = -0.132 + y. Round c to 5 dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + -10. Suppose 0 = 5*m - 4*j - 45, 5*m - y*j - 13 = 22. Solve 0 = -3*z + 6, -m*l + z + 2 = -21 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-60)\/96*(-12)\/8?\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.0688 + -6435.9312. Let b = j + 6436.99996803. Round b to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 895*v + 31316. Give u(-35).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 4. Let p = 9 - 8.7. Which is the closest to -1\/4? (a) -2 (b) p (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1109*c**4 + 74 with respect to c.\nAnswer: 4436*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -125 divided by 23?\nAnswer: -125\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65 - (-237 - -64) - 126.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 plus -240036331.2401?\nAnswer: -240036166.2401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -42, 146, 2\/5, -2, -10?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-6) - ((-370)\/15 + 11). What is the second smallest value in -3\/5, -3, -2, g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43 (base 16) to base 10.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -504 (base 12) in base 14?\nAnswer: -39a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 11 - 27 + 8 - 2*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a - 1. Suppose 2*d = -3*p - 0*d + 26, -p - 10 = -4*d. Suppose p*g = -7 + 25. Suppose -g*m - 6 = 5*k + 8, -5*m - 3*k - 2 = 0. Determine r(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -u + 52. Does 12 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -782*c + 402*c - 207*c - 917*c.\nAnswer: -1504*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 434*d - 439*d = -15, -z - 3*d = -11 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61929810 is divided by 5160817?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 122852?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of -a**5\/20 + a**4\/3 + 2*a**3\/3 + 3*a**2\/2 + 10*a. Determine t(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 + 45. Suppose 3*y = -3*c + 93, -2*y - 5*c + 56 = -0*y. Suppose 2*r + 6 = 4*n - 12, 5*r - y = -3*n. Calculate the greatest common divisor of n and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1928683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 175 (base 9) to base 8.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 7 - 473\/(-86)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 84, -5, 5 in increasing order.\nAnswer: -5, 4, 5, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-21 - -4) - (5 + -10 - 0).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45863*q**3 - 45705*q**3 + 89814*q**3.\nAnswer: -1754*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -132 or -2880?\nAnswer: -2880","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-4 + -1*sqrt(76)*1 + -2)**2.\nAnswer: 24*sqrt(19) + 116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/27, 3, 1, 10.67 in decreasing order.\nAnswer: 10.67, 3, 1, 2\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/2602896 and 79\/174.\nAnswer: 75483984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -4414.\nAnswer: 3\/4414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8576 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -84917 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -5*w. Let t(c) = -35*c. Let k(x) = -15*h(x) + 2*t(x). Let l(j) = 2*j**2. Determine k(l(z)).\nAnswer: 10*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -409859 - -3?\nAnswer: -409856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1.258 (b) 0.1 (c) 3 (d) 183\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -4*f - 1. Let w be m(-2). Suppose 0 = 5*q - 4*s - 125, -2*q + 24 - w = 5*s. Is 7 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -8. Suppose -3*x + 55 = -x + 5*q, -45 = -k*x + 3*q. Solve 5*t + x = 2*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 0 = 2*z. Suppose -q - 10 = -z. Put -0.2, q, 0.3 in descending order.\nAnswer: 0.3, -0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of q**6\/32 + q**5\/60 - 29*q**4\/96 + 5*q**3\/12 + 77*q**2 + 128*q. Let j(d) be the first derivative of t(d). Factor j(c).\nAnswer: (c - 1)*(3*c + 5)*(5*c - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/360 and -59\/2820?\nAnswer: 16920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 4043121224?\nAnswer: 4043121234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 126454608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2334278 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.08857 millilitres in litres?\nAnswer: 0.01508857","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/8)\/(39\/208) - 0. Let r be (-1 - (-21)\/14)\/(2\/u). Which is the closest to 0.2? (a) -0.3 (b) -9 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3176742 and 78?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63 (base 8) to base 5.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -105, -165, -323, -627, -1125, -1865, -2895, -4263?\nAnswer: -6017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/6 - 1\/3. What is the closest to x in 5, 0.2, 3, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, t: 6, m: 1, i: 5, u: 4}. What is prob of picking 1 t and 1 i?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 220620*s - 220582*s = -570 for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3863*a*u**5 - 382*a*u**4 - 100*a*u**2 + a*u - 1804*u**2 wrt u?\nAnswer: 231780*a*u**2 - 9168*a*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 - 10*p - 10. Let a be w(-8). Solve -a*h = -3*h - 15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*d + 9 - d**4 - d**3 - 2*d**2 - 53 - 4*d to the form c*d + f*d**2 + o + y*d**4 + x*d**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 81 + 0. What is the remainder when w is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 937 a factor of 38797038?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 40*s**2 + 3*s - 56. Let r be q(10). Suppose 0 = n - 5*c - r, -3*c - 19951 = -5*n - 5*c. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27442418 to the nearest integer?\nAnswer: 5239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 4 = -67. Calculate the greatest common factor of 399 and q.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ky when two letters picked without replacement from lyyyydklbylbkyddydy?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/216426 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -219*t**4 + 132*t**2 + 2*t + 181685?\nAnswer: -876*t**3 + 264*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {s: 3, b: 9}?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17975, 16340, 14705?\nAnswer: 13070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 + 52\/(-12))\/(7\/294*-14). Suppose -2*p + 2*w - 6 = -20, -5*w - 27 = -p. Solve o = -u, r*o + 18 = p*u - 12 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 4*m + 66 + 66, -2*m = -2*p + 82. Suppose -4*u + 4*l - p = -5*u, 2*u - 44 = -2*l. Solve -u + 1 = 4*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2757 - -0.1757. What is the biggest value in -275, w, -2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -5 + sqrt(2057)*-3.\nAnswer: -33*sqrt(17) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1056805291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 0.4, 0.2, -5.9, 3, 4\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 3. Suppose 4 + 8 = s*v. Suppose v*x - 16 = 2*x. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g. Let a(v) = 4*v + 9. Let c(r) = 2*r + 4. Suppose 4 = -20*s + 21*s. Let u(i) = s*a(i) - 9*c(i). Determine w(u(b)).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.34, 0.367, -3, -2\/11, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38525 is divided by 741.\nAnswer: 734","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(1008) + 0 + 0)**2 + -2)*-5.\nAnswer: -15110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7593789 is divided by 446693.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2802 + 2805. Sort 179, -3, v in increasing order.\nAnswer: -3, v, 179","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 78 - 142 = 0. Let k be (13\/(-9) + 24\/54)*-8. Let v(w) = -k + f*w + 8 - 41*w. Let z(i) = -i. Determine z(v(q)).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 r, and 2 e when four letters picked without replacement from {r: 1, w: 1, g: 4, h: 3, p: 5, e: 6}.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 49592 + -0.069\nAnswer: 49591.931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -12*s**2 + 2*s. Let u(i) = -188*i**2 + 32*i - 420. Determine -16*l(z) + u(z).\nAnswer: 4*z**2 - 420","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 - 16. Suppose n - 1\/2*b - 1\/2*b**2 = 0. What is b?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 4 = 2*u + 3*z, 2*u = 3*z - 4. Calculate the greatest common factor of u and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 2*z = -4*a + 350, 5*z - 353 = -4*a. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 - d - 1. Let k(j) be the second derivative of j**4\/12 + j**3\/6 + j**2\/2 - 308*j. What is b(a) + k(a)?\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 5*m = 3*h - 17, -h + 3 = 0. Suppose -m*p + 14 = -26. What is the highest common divisor of 25 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 11032 in descending order.\nAnswer: 11032, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 669.1295mg in kilograms?\nAnswer: 0.0006691295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 141\/(-235) - 6\/(-10). Suppose a = -12*n + 1024 - 340. Calculate the highest common factor of 114 and n.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.09 - -0.0889. Round x to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -498*i**3*j - 2*i**3 + 144*i*j - 80374*j wrt i.\nAnswer: -1494*i**2*j - 6*i**2 + 144*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -17, -30, -57, -104, -177, -282?\n\"Answer: -l**3 - l**2 - 3*l - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21305389 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 127200 or 127201?\nAnswer: 127200","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 4 + 11 = 0. Let m(s) be the first derivative of s**3\/3 + 7*s**2\/2 - 138*s + 81. Let n be m(9). Solve -f = -b*f - n for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - m - 58804115 = 0, 0*m + 25 = -5*m. Let j = b - -6680154547\/568. Let y = 60\/71 - j. Calculate the common denominator of -81\/20 and y.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 70 = -l, 4*l - 322 + 42 = 4*h. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1633447 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0 (b) -17 (c) -5 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 0.2, 0.3, -15?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 - 4*p + 3. Let f(o) be the first derivative of -2*o**3\/3 - 5*o**2\/2 + 4*o - 59. What is -4*f(m) + 5*q(m)?\nAnswer: 3*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -37 + 37.025. Let j = l - 0.041. Let c = -0.0159828 - j. What is c rounded to 6 dps?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**2 + 4*c + 798 = 0. What is c?\nAnswer: -19, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 354507859 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate b**2*d*w - 2*b**2*w - 3*b**2 + 16*b*d + 3*d*w with respect to w.\nAnswer: b**2*d - 2*b**2 + 3*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33 + 3*o + 33)*(0*o + 2*o**2 + 0*o) + 2*o + 2 + 2*o**3 - 2.\nAnswer: 8*o**3 + 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 877 + 2 + 4 + -1 + -1. Suppose -s = -5*c - 3*d + 702, 2*c - 2*d - 646 = 0. Is 16 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8b1 - 2a6a?\nAnswer: -2189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.008 or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1737 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 266 divide 93366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -46 in 1, 0.5, 0.1, 2\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 12:32 AM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/1 + -2 - 14. Let a = 29\/2 + k. Is a != 3\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 - 11*p**2 - 2*p - 15. Let b be x(-11). Suppose b*r - 2*r = 20. Solve -2*k - 2 = -4*k + 2*y, 0 = 5*k - r*y - 2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 276 and (-6)\/(-45) + 45920\/2100.\nAnswer: 3036","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45*l**5 + 5760*l**2 - 5760*l**2)*(1 + 1 + 0)*(-1 + 6 + 4)*(1 + 2 - 2).\nAnswer: 810*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 - n + 16. Let x be q(0). Let l = 1429 + -1429. Solve l*o = -4*o - x for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 156, 178, 180, 156, 100, 6, -132?\nAnswer: -320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 51\/4 of a kilogram?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -342210 divided by -671.\nAnswer: 510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 - 31*o**2 + 207*o - 193. Let j be m(22). Factor 10\/3*h**4 + 0 + 2\/3*h**2 + 4\/3*h**j + 8\/3*h**3 + 0*h.\nAnswer: 2*h**2*(h + 1)**2*(2*h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1 and -3.728497663.\nAnswer: -3.628497663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -28169568\/53 and -531500 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.4 (b) -12 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001416766 to six dps.\nAnswer: -0.000142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + 12*i**2 - 55*i - 56. Let f be t(-15). What is the greatest common divisor of f and 3055?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -385 + 455. Suppose 2*a - 32 = 2*c, 3*a + 4*c + 1 = f. What is the remainder when 36 is divided by a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 586 and 1007041.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -40*l - 2275. Calculate the remainder when 279 is divided by s(-58).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 (base 16) in base 9?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -209906*h**2. Let l(d) = d. What is r(l(i))?\nAnswer: -209906*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 PM and 6:01 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 612, 1110, 1582, 2028, 2448, 2842, 3210?\nAnswer: 3552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -8*x**2 - 4 - 5*x + 0*x**2 - 6 - 4*x**3 + 3*x**3. Calculate a(-7).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**4 + b**3 + 16*b**2 - 16*b.\nAnswer: -b*(b - 4)*(b - 1)*(b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(490)*-4*2)\/(sqrt(242)*3*-1).\nAnswer: 56*sqrt(5)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o. Let u be (0\/(5 - 0))\/(-4). Let z be c(u). Solve 1 = -d - z*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12149\/135 - -452\/5. Calculate the common denominator of j and -1\/24.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - 15a3?\nAnswer: -15a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 11*s**2 - 4*s. Let f(z) be the second derivative of 35*z**4\/2 - 25*z**3\/2 + 461*z. Give -4*f(i) + 75*v(i).\nAnswer: -15*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of -12*o**2 - 1\/30*o**5 - 1\/120*o**6 - 1\/6*o**4 + 1\/6*o**3 + 0 + 0*o. What is the tens digit of m(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 18*o - 3. Let d(q) = 12*q - 2. Suppose 64 = z - 9*z. Let n(h) = z*d(h) + 5*f(h). Let a(s) = -s. Determine a(n(p)).\nAnswer: 6*p - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*-1161*95\/71820.\nAnswer: -43\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2842708\/423 at least as big as -6721?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109330 is divided by 535.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 69?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/4)\/h**(-3\/10))\/(h**(-5)\/h**(-3\/14)) assuming h is positive.\nAnswer: h**(747\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 1002*h - 2. Let c(v) = -1522*v - 7. Determine c(t(d)).\nAnswer: -1525044*d + 3037","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2821678?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 - 2*z - 1. Let p be ((-3)\/(6\/14))\/(-1). Let y(x) = x - 4. Let v be y(p). Let q be (v*-1)\/(5\/5). What is f(q)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -17*z - 841. Calculate m(-2).\nAnswer: -807","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -9800, -78547, -265182, -628661, -1227940, -2121975, -3369722, -5030137?\n\"Answer: -9826*m**3 + 12*m**2 - m + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003029961 rounded to seven decimal places?\nAnswer: 0.0000303","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + v**2 + 4*v**2 - 4)*(-15 - 22 - 54 - 6*v) as h*v + u*v**2 + s*v**3 + k and give s.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zfjp when four letters picked without replacement from zofjopp.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 56, 0.5, 3, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1500?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 8. Let v = -26 - -31. Suppose -3*z + 26 = -25. Solve 0 = -v*k - c + z for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1))**(-30))**(-39) assuming i is positive.\nAnswer: i**(-1170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 17 = -5*i, 2 = -3*u + 5*i + 23 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35 - 21. Let p = 16.26 + -0.26. Let q = g - p. Do -2\/11 and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*m + 476 = 128*m for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 4*a + 12 = 0, 0 = 5*a - a + 12. Suppose j = -3*t + 450 + 348. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 108 and 369?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**(-2\/7))**(4\/5)*(o\/o**(-5\/4))\/(o\/o**(-13)) assuming o is positive.\nAnswer: o**(-1453\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a + 20 = 32 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**3 - 480218*b**2 - 640300*b + 640296.\nAnswer: (b - 160074)*(b + 2)*(3*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 4*s**3 + 29*s**3 - 6876*s**2 - 2 + 6891*s**2 to the form d + a*s**3 + y*s + u*s**2 and give a.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.146 (b) 3\/8 (c) -2 (d) 0.073 (e) -0.27 (f) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -53\/15, 0.6 in descending order.\nAnswer: 0.6, 0, -53\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 2*g + 10, -4*g - 28 = -3*b - 2*b. Let j(v) = -v + 12. Let r be j(12). Suppose -10*n**3 - 8\/5*n + r - b*n**2 = 0. What is n?\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 11313376, 45253510, 101820398, 181014040, 282834436?\n\"Answer: 11313377*b**2 + 3*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3060*t - 3104*t + 3213 = 3062*t - 9163*t for t.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 576 and 1912.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5.9 and -16.\nAnswer: -21.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 111*p**2 + 9*p + 17. Is l(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 954 and 850491.\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + -4 - -1 - -3. Let d(p) = p**3 - 4*p**2 + 4*p + 1. Let b(j) = -2*j**3 + 8*j**2 - 9*j - 2. Let x(u) = -2*b(u) - 5*d(u). Give x(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4086285 and 10605.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 93636 + 4?\nAnswer: 93640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 38550.5568 + -10.4?\nAnswer: 38540.1568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1430546137377241 take away 0.2?\nAnswer: -1430546137377241.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 1 = -3*f, -2*f = -7*f + 5*b - 5. Suppose -2*p = f*u - 56, -p - 8 = -3*p. Is u a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 370924748 a multiple of 3686?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of -b**3\/6 + 23*b**2\/2 - 16*b. Let k = -35 + 102. What is the remainder when k is divided by u(0)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + 10. Let w = 1 + t. Suppose l + 2*n = 91, -2*n - 343 = -4*l - 3*n. Calculate the greatest common factor of l and w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of -127*g**6\/3 - g**5\/5 - 502*g**2 - 2*g + 586. What is the second derivative of z(k) wrt k?\nAnswer: -5080*k**3 - 12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (882\/168)\/((-6)\/80). Put o, -2, 4 in descending order.\nAnswer: 4, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 8740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -421.593 - 3.307. Round v to the nearest 10.\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2254123.4 rounded to the nearest one hundred?\nAnswer: 2254100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1235 = -5*u + 5*o, -3*u + 410 + 291 = 5*o. What is the greatest common factor of u and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1482)\/(-1014)*(-91)\/(-7). Put 3, w, 4, -2\/5 in ascending order.\nAnswer: -2\/5, 3, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of 31122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from mdrrrrurmudmdgmrmrr?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, a: 6, m: 6, h: 3}. Give prob of picking 1 h and 3 a.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 + 4*k - 8. Let t be o(2). Suppose 0 = t*p - 4*u - 2144, 2*p - 3*u = -8*u + 1058. Let q(c) = -534 + p + 5*c. Let r(s) = 7*s. Calculate r(q(a)).\nAnswer: 35*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 + -28. Calculate the common denominator of (-36)\/180 - 2*(-3)\/10 and ((-48)\/40)\/(i\/15).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, -1\/11, 0.4, -78 in decreasing order.\nAnswer: 26, 0.4, -1\/11, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 64*b**4*l**2 - 504*b*l**3 + 6236*l**3 wrt b.\nAnswer: 256*b**3*l**2 - 504*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9180 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 45283283 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.3, -3\/19, 1\/6 in descending order.\nAnswer: 0.3, 1\/6, -3\/19, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, z: 1, k: 3, t: 2, m: 1}. What is prob of picking 1 t, 1 k, and 2 w?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(243)*-2 - (sqrt(3) - (sqrt(3) - (sqrt(192)\/sqrt(4))**2))).\nAnswer: -47 - 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*i**2 + i**3 + 9*i**2 + 2 - 20*i**2 in the form c + h*i**2 + t*i**3 + q*i and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193 is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 31974*h + 31977*h = -3, -h = 5*k + 1 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3884163*g**2 - 4*g + 134686 wrt g.\nAnswer: -7768326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -644 - 7.295\nAnswer: -651.295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -15*m**2 + m**3 + 25*m**2 + 1 - m - 9*m. What is q(-11)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 718929 = 8*s - 1134359. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48216953607 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 + 2*b**2 - 4*b + 2. Let m be q(3). Suppose d - m = -4*d + 5*t, 3*d = -5*t + 45. Does 13 divide 402\/d - (-2)\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3*j - 64 = 0. Suppose 0 = -5*r - 0*r + 150. What is the remainder when r is divided by j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 - 11*w + 40. Suppose -3 = 2*l + 2*z - 5*z, 0 = -2*l + 2*z. Suppose l*j = -2*n + 28, 0*j - 3*n = -4*j + 9. Is m(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39\/5*g**2 + 29\/5*g**3 + 1\/5*g**5 - 9\/5*g**4 + 0 + 18\/5*g = 0 for g.\nAnswer: 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 154168 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**2 + 0*j**3 - 2*j**2 - 2*j**3 + (-1 - 2*j**2 + 1)*(6615 - 6615 - 140*j).\nAnswer: 278*j**3 - j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 49 or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65 - (17 - (36 - -8)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -5*c - 17. Let p(v) = -3*v - 8. Let a(k) = -2*l(k) + 5*p(k). Let n(y) = -y**2. Give a(n(j)).\nAnswer: 5*j**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, 3.86, -0.1, -7 in descending order.\nAnswer: 3.86, -0.1, -3\/4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -79599526, -159199059, -238798590, -318398119, -397997646?\n\"Answer: y**2 - 79599536*y + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gninwiiniwigi. What is prob of picking 2 w?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -49*o + 17. Let h be s(-5). Let b(i) = -i + 13. Let m be b(10). Find the first derivative of -z + z - h*z**3 - 25 + 253*z**m wrt z.\nAnswer: -27*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2*(sqrt(128)*-1)**2 + sqrt(128) + (-5*(-1 + sqrt(128)))**2.\nAnswer: -392*sqrt(2) + 3481","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1189 is divided by 383.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 353, 355, 359, 365?\n\"Answer: b**2 - b + 353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1241 and 73.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -280690?\nAnswer: 3\/280690","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + 3*m**2 + 5*m + 2. Suppose 40 = 2*i - 2*c, i = -5*c + 49 - 11. Calculate the remainder when i is divided by w(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1864289 is divided by 137?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (-18 - -10) + (11 - -9).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 23.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -83835385*a**5 + 106095194*a**2 wrt a?\nAnswer: -5030123100*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - -2)\/((-20)\/4). Which is the biggest value? (a) k (b) -3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 4*x. Let i(u) = 2*u**3 + u**2 - 2*u + 1. Let j be i(1). Let v(w) = j*w + w - w. Calculate g(v(h)).\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvr when three letters picked without replacement from rrvgvyrrrrrv.\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 52132.7262 to the nearest 10.\nAnswer: 52130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.0208, -2\/7.\nAnswer: -5, -2\/7, -0.0208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1344)\/424 - (-3 + (-1 - -1)). Let f = -29\/795 - v. Which is smaller: f or 10?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 64962.1 to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*1353739.\nAnswer: -1353739","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 - 12. Suppose -v - 23 = -4*b, -3*v + k*v + 5*b = 13. What is the smallest common multiple of 1\/(-2)*(v + -11) and 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.3, 2\/21, 9, 20.8?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, 273, 1\/3, 10, -7, 0.1, 2 in increasing order.\nAnswer: -7, -4\/5, 0.1, 1\/3, 2, 10, 273","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -42801692.7 rounded to the nearest 1000000?\nAnswer: -43000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -804, -1089, -1376, -1665, -1956?\nAnswer: -2249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3487 plus 0.7194?\nAnswer: -3486.2806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 2*m = -20. What is the remainder when 28 is divided by m\/10 + (-19)\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 29303 or 29301?\nAnswer: 29303","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/44)\/((-1)\/12)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 19*t**3 + 18*t**2 + 2*t - 86. What are the prime factors of x(7)?\nAnswer: 17, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3283*z - 3280*z - 1218. Suppose 19 = -4*s + 115. What is the remainder when z is divided by s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 61018 + -21242?\nAnswer: 38666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yg when two letters picked without replacement from nonnxynnyynngxoyg?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/(-3)*(-12)\/10. Let d = 4.94 - -0.06. Which is the second biggest value? (a) t (b) d (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 12 (b) 3 (c) 465 (d) -2 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.29 - -0.55. Let j = d - -4.74. What is the smallest value in j, -4, -1\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 53 = -11*t + 12*t, -5*f + t = -65. Calculate the highest common factor of 12 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28318 divided by -9\nAnswer: 28318\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 0*j = 4*f + 153, -4*f + 45 = j. Suppose j = c + 1. Let k = 140 - c. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -155, 2, 1, -5, 4 in ascending order.\nAnswer: -155, -5, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -707635 divided by 16?\nAnswer: -707635\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 12*k**2 - 6*k + 1. Is j(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 o when three letters picked without replacement from kokkaaooonaokh?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.23 + -0.07. Suppose 1026*u - 1046*u = -40. What is the nearest to -1\/3 in c, u, 0.3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7063216304.\nAnswer: 2, 17, 251, 103457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 8\/309, -1, -5 in ascending order.\nAnswer: -5, -1, 8\/309","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -12951*g - 163. Let f(m) = -24*m**2. Give y(f(u)).\nAnswer: 310824*u**2 - 163","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12131.009979 - -12131. Let j = 0.01 + b. Round j to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -57 from -2239144.\nAnswer: -2239087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from utggyguutuuyygy. What is prob of picking 2 u and 1 t?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14778 and 2838?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -0.3, 3\/56, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -21766225 (base 8) in base 15?\nAnswer: -631966","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 i, 1 x, and 1 v when four letters picked without replacement from {n: 4, g: 1, v: 7, b: 1, i: 5, x: 1}?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**3*k*k**(-9)\/k*(k*k\/(k*k**4))**29 assuming k is positive.\nAnswer: k**(-93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1031139 a multiple of 733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -42 + 169\/4. What is the second biggest value in m, -4\/5, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 167\/168 and 1089\/(-156) - (-159)\/689.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1115 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1800 - 1793. Which is bigger: h or -324?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10 + 2 + 8\/(-2). Suppose 10*i - o = l*i + 50198, 75295 = 3*i - o. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 433 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -30858, -30874, -30878, -30864, -30826, -30758, -30654, -30508?\n\"Answer: x**3 - 23*x - 30836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 11*r - 2. Let t be o(-9). Let m(u) = -15*u - 48. Let p be m(-13). Let v = t + p. List the prime factors of v.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -271*v + 667*v = -839*v + 28405 for v.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3326*p + 2 + 327*p - 181*p in the form q*p + l and give q.\nAnswer: 3472","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of r**5\/20 + r**3\/2 - 3*r**2\/2 - 11*r. What is the tens digit of k(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 - 0) + (1 - 13\/(-1)). Let k = 55\/102 + -5953\/510. Let q = k + y. What is the smallest value in q, 0.1, 0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-94)\/35 + 18\/45. Let l = -140.3 + 140. Which is the nearest to t? (a) 2 (b) l (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 630, 5966 in descending order.\nAnswer: 5966, 630, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from deeeeeddeuuuxxxbex. Give prob of picking 1 u and 1 x.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 33 divided by -9\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (16\/24)\/(8\/(-6)). Let k be (2\/5)\/(3\/(-15)). Which is the third smallest value? (a) 3\/2 (b) k (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -105, -226, -345, -462, -577, -690?\nAnswer: -801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -241681 - -420342. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 726071 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101 - 135 = -4*i. What is the second derivative of -3*r**4 + i*r**3 - 59*r**3 + r**4 - 3*r wrt r?\nAnswer: -24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 468*g**5 - 1263008*g**4 - 7784032*g**3 - 16354560*g**2 - 12463552*g - 1558016 = 0.\nAnswer: -2, -2\/13, 24344\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/(-12)*(3 - -1). Find the second derivative of f*r - 4 - 3*r**3 + 4 wrt r.\nAnswer: -18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 270\/(-2730)*-13 - (3 + -2)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 364 + -201. What are the prime factors of w?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-53 + (-4)\/(-1))\/(-1). Let a = -6 + 17. Let r = a + j. What is the highest common divisor of 24 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/(-2))\/(3\/18). Calculate the common denominator of 3 - 4\/24*399\/c and 31\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84 is divided by 46.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 + 2 + 3*l**3 + 0*l**3 - 2*l**3 + l. Let r be 0\/(2*(-6)\/4). Let f be t(r). Solve y + f*s = -1, -2*y - 12 = -5*y - s for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -2 + 7 - ((-31 - -102) + -193).\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 456345.9 weeks?\nAnswer: 275998000320000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/431672 and 27\/40?\nAnswer: 2158360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 197.16 less than 27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 135*c - 360. Let a be m(3). Solve -5*d - 4*w = a, -2*d - 71*w + 70*w - 15 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54377319 is divided by 1001.\nAnswer: 997","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -5. Let t = -1 - -2. Put t, -4, h in increasing order.\nAnswer: -4, h, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/8)\/(3\/(-8)). Suppose 0 = -4*z - 4*b + 3516, 885 = z + t*b + 2*b. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as 80?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1351.97 + -1358. Let z = -6.0300338 - l. What is z rounded to 6 dps?\nAnswer: -0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12528 divided by 1044\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -0.5, -42, -0.3, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((325\/(-10))\/(-65))\/((-1)\/(-266)). Solve 2*u + 131*y - 4 = n*y, 2*y - 2 = -4*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13651*n - 37304176 + 37304176 to the form x + d*n and give d.\nAnswer: 13651","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -57*b - 24. Let q(f) = 24*f + 14. Let m(p) = -5*q(p) - 3*r(p). Let h(s) = 34*s. What is m(h(g))?\nAnswer: 1734*g + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.05 + -0.06. Let m = i + 0.002. What is m rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 68\/13, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*o**2 - 5*o**2 - 2*o**2)*(-18*o**2 - 108*o**2 - 20*o**2 + 5*o**2) to the form b*o**4 + r*o**3 + q + f*o + n*o**2 and give b.\nAnswer: 705","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of l**5\/20 - 7*l**4\/24 + l**3\/2 + 138*l**2. Determine q(6).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, k: 1, s: 1, r: 1, v: 3, b: 6}. Give prob of sequence bysr.\nAnswer: 1\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -58134 (base 11) to base 8\nAnswer: -244053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/25 in 1\/9, -1, -1\/4, 49, -11\/13?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 14815000 to the nearest one million.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - -190a?\nAnswer: 1914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1934604889.\nAnswer: 7, 276372127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 100667*p**3 + 6 - 135416*p**3.\nAnswer: -236083*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (34 - 68)*1\/(-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - ((8 - 41) + 2). Solve 3*s = 46 - t for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.09226757 rounded to 3 dps?\nAnswer: -1.092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2129 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-0.0507.\nAnswer: 0.1521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 4*w**2 - 5*w. Give k(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 + 40 + (1 - -4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6ca7c (base 14) in base 13?\nAnswer: 93ac8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*v**4 + 7*v**2 + 121?\nAnswer: -20*v**3 + 14*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**3 - 175*t - 122*t - 5 - 714*t.\nAnswer: 2*t**3 - 1011*t - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -192*q + 1069. What is the remainder when v(5) is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26\/20)\/(((-287)\/(-210))\/41*6).\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of -j**5\/4 - j**3\/6 + j. Suppose w - 6 = 2*r - 0*w, -6 = -2*r - 2*w. Give a(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10.867161 - -11.7671612. Let i = -0.79 - 0.11. Let r = i + s. What is r rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - 8*h + 3. Let u(l) = -l + 1. Let v(c) = 2*u(c) - y(c). Let j be v(5). Suppose 3*g = 5*m - 20, m + 5*g = j*g + 12. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-62)\/15 - (-18)\/135. Let j be ((-60)\/(-48))\/(1 - (-3)\/m). Find n such that -3*n**2 + 9*n**j - 2*n**3 + 3*n**3 - 21*n**4 + 14*n**3 = 0.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 0 + (7 - 14) + (10 - 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13753*z**5 - 64*z**2 + 87*z - 1 wrt z?\nAnswer: 825180*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 85 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 - m - 1. Let z be (10\/4)\/((-2)\/(-4)). Let v(n) = -6*n**2 + 5*n + 5. Let r(o) = z*l(o) + v(o). Let b(c) = 2*c - 3*c - c. What is b(r(u))?\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -54 + 67. Suppose 0 = -2*v - 75 - 101. Let o = v + 139. Calculate the remainder when o is divided by s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.08 + 0.22. Let r = -28.5 + 28. Which is the nearest to 3? (a) r (b) u (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -122 - -127. Let n = -1 + 5. Suppose 2*u - 5 = -j, 0 = -u + n*u + 4*j + d. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6a9 - 3?\nAnswer: 6a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -589*q**2 - 8 - 85*q**2 + 8 - 150*q**2. Let p(a) = 2*a**2. Determine s(p(b)).\nAnswer: -3296*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -37344174 divided by 1813\nAnswer: -20598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18470*p**3 + 291*p**2 + 575729722*p.\nAnswer: 110820*p + 582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8\/7? (a) -1\/6 (b) -0.4 (c) -0.16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 85553 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45871226.\nAnswer: 2, 167, 137339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of 0*t - 1\/6*t**7 - 1\/60*t**5 + 0 + 0*t**3 + 11*t**2 + 0*t**6 + 71\/24*t**4. Find the third derivative of v(m) wrt m.\nAnswer: -840*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2341 divided by 77.\nAnswer: -2341\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -4 + 2 - 4*u + 4 + 2*u**2 - 5. Let y = -1 - -6. What is the remainder when o(4) is divided by y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1026, -762, -338, 234, 942?\n\"Answer: -2*r**3 + 92*r**2 + 2*r - 1118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.7 - 1. Let r = p - -0.5. Let f be 3\/(-6)*8\/(-22). Sort -0.3, f, r in ascending order.\nAnswer: -0.3, f, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 81903 by 69.\nAnswer: 1187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 6*x + 1. Suppose -m = -w + m + 1, 2 = w - 3*m. Let f be o(w). Suppose -128 - 78 = -103*s. What is the nearest to -1\/5 in -0.03, f, s?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8586900 to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1103467 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*r**3 - 5*r**2 - 31*r**2 - 10 - 27*r + 4 = 0.\nAnswer: -2, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -60\/683?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - h = -135. Let n be (18\/15)\/((-4)\/30). What are the prime factors of (0 - (-3)\/n)*h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14402024011 + 10?\nAnswer: -14402024001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/154905 or 0?\nAnswer: -4\/154905","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7741269.\nAnswer: 3, 281, 3061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-10)*(-10)\/(-6)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13421 is divided by 274?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*d**3 + 21*d**3 - 37*d**3.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -24 + 52\/91*266 is divided by 20?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 3128?\nAnswer: 15640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6*7\/(105\/(-10)). Suppose -z*s - 3*p = -96, 2*s + 8*p = 3*p + 62. Let l be ((-1)\/(3\/6) - -3)\/(-1). Which is smaller: l or s?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**2)**38\/(l\/l**(-6)*l**1\/l)*(l\/(l\/((l**(-7)*l)\/l*l))*l**(-1\/3))**(-1\/8) assuming l is positive.\nAnswer: l**(1675\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -939\nAnswer: -4\/939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 1)*(2*p**2 - 2*p**2 + 2*p**4) + 2*p**4 - 5*p**4 + 4*p**4.\nAnswer: -3*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 5*n + 23 = 0, -2*w = 4*n - 9*n - 73. Solve h - w = 7*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of 1\/448*k**8 - 15\/32*k**4 + 1\/40*k**5 + 7\/80*k**6 - 9\/280*k**7 + 0 - 12*k**2 + 2*k + 7\/8*k**3. Factor q(w).\nAnswer: 3*(w - 7)*(w - 1)**3*(w + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 24. Let v = 16 + t. What is the third smallest value in v, 2, 0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x**3 + 163*x + 45*x**2 - 22*x**2 - 23*x**2 to the form d + m*x**3 + c*x + z*x**2 and give c.\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 3 = -3*u, 2*k - 3*k + 4 = -4*u. Let h = u - 4. Sort 0, 5, h.\nAnswer: h, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3716 + -3684.068. Let g = 0.068 + i. Let j = g - 28.6. What is j rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - -11) + (-3 - (-16 + -2))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - (8 - 3) - -2 - -8?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 124 + 2?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 899 - 900 - (-9)\/(-366)*-42. Let p = -4.3 - -0.3. Which is smaller: p or b?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*y**3 + 35*y**2 - 6530*y + 2353746 with respect to y.\nAnswer: 6*y**2 + 70*y - 6530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 - -483.57.\nAnswer: 483.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -1181*s. Let b(g) = 14*g**2. What is a(b(z))?\nAnswer: -16534*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 1022.\nAnswer: -511","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1649 - 4942\/3. What is the second biggest value in -0.28, -2\/15, d?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 66.5 times -2.7\nAnswer: -179.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42 - 41.362. Let z = 0.902 + m. Is -2\/7 <= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -22, 100 in ascending order.\nAnswer: -22, -2, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**0)**47 assuming k is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22977.01 + -23112. Let t = 135 + y. Put 0.1, -2\/9, t in ascending order.\nAnswer: -2\/9, t, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 1*(1*(sqrt(2) + -1))**2 - ((sqrt(12) + (sqrt(36)\/sqrt(3) - sqrt(12)))*4 + sqrt(12) + sqrt(12))\/sqrt(6)*-6.\nAnswer: 3 + 34*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -8\/989 (b) -2\/555 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(117) + -2*sqrt(117) + (-1 + sqrt(325))**2 + sqrt(325) - (sqrt(13)*-3*4 - sqrt(13) - sqrt(832))**2).\nAnswer: -5406 - 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-36))\/(65\/1042). Let f = r - 1\/585. Find the common denominator of 75\/2 and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -3*w**3 + 2*w - 1. Let b(i) = -2*i**2 + 18*i - 7. Let y be b(8). Let l(d) = 13*d**3 - 8*d + 4. What is y*h(c) + 2*l(c)?\nAnswer: -c**3 + 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -1910.5, 0, 1\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17323799 is divided by 637?\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -29, -50, -59, -50, -17, 46?\n\"Answer: a**3 - 28*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, f: 1, x: 1, k: 1, b: 1}. Give prob of picking 1 b, 1 f, and 1 l.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-76)\/(-342))\/(4*4\/720)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -633*y + 50654. Determine r(80).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 276*s + 2749. Calculate j(-10).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17986 + -17926. What is the lowest common multiple of 2400 and h?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 870*w - 201933 = -175*w + 306*w - 1754*w for w.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 481272707 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l + 56. Let j(p) = p**2 - 7*p. Let x be j(7). Let n be f(x). What is the remainder when n\/1*(2 + -1) is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-340)\/(-306) - (-489)\/(-27) - -42?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 878057 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 + 1. Let n(m) = -18*m**3 - m**2 - 1. What is -f(i) - n(i)?\nAnswer: 19*i**3 + i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (140\/(-112))\/((-1295)\/(-54908))\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 158096*u**2 - u - 158391*u**2 + u.\nAnswer: -295*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/6*(-1028)\/(-3). Let b = f + 182. Which is smaller: b or 11?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -144 in 1, -17, 10, 2?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 + 4*a**2 + 1. What is l(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.05, -0.1, -785, -1.1 in decreasing order.\nAnswer: 5, -0.05, -0.1, -1.1, -785","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 + -218)*(-33)\/6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of -n**4\/4 + 2*n**3 + 3*n + 2. Let m be a(6). What is the third derivative of 8*h**m + 3*h**2 - 3*h**2 + h**2 - 4*h**3 wrt h?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4*j = 17, 14 = -2*x - 5*j - 11. Suppose 3*m = -m - 2*a + 54, -3*m - a + 38 = 0. Let d = 7 - m. Sort 3, x, d in increasing order.\nAnswer: x, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -212 - -322. Let v = 110.5 - j. Let p = -11 + 16. Put -3\/8, p, v, 0.2 in decreasing order.\nAnswer: p, v, 0.2, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6206207*b**2 + 6205996*b**2 - 3*b**3 + 5*b**3.\nAnswer: 2*b**3 - 211*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -68*m**2 - 140*m + 2*m**3 - 234*m + 122*m - 6*m**3 + 324.\nAnswer: -4*(m - 1)*(m + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 24*k + 27*k = -9730, -2*k = -3*q + 5837. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*q - 38*q = 368. Sort 1, q, -5, 4.\nAnswer: q, -5, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-5600)\/480)\/((-1)\/3). What is the greatest common divisor of r and 725?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22876\/11 + -2079. Let f be ((-14)\/(-5))\/(4\/10). Suppose f = b + 5. Is b > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 13, 3, 14, 5, 0.4, 2, 0.5?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of ((-72)\/(-48))\/(18\/4) - (-205433)\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 826 a factor of 81983804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from sjjxgie.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a**2 + 3*a - 4. Let b be c(1). What are the prime factors of b - (-3 - -6 - 195)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 2 c when four letters picked without replacement from {i: 2, c: 6}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 11 = -t, 2*k + 3*k - 10 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 16*k - k**2 + 2*k**2 + 7 - 23*k. Let v(t) = t**3 + t**2 - 2*t + 1. What is the remainder when v(-2) is divided by o(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/51 and 9\/8?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 - -28 - (-1 - 2) - 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 481304580?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 1)*(-i + i + i) - 1308 + 1308 + 210*i - 6*i + 1 + 3*i + 2*i.\nAnswer: 211*i + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1764)*-3)\/sqrt(7)*3)**2.\nAnswer: 20412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/4)\/(-1*(-22)\/16)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - 0.4. Let a = 0.11 - -3.89. What is the second biggest value in a, f, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6643.87 to the nearest one hundred.\nAnswer: -6600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 269 - 379. Calculate the common denominator of ((-110)\/10 + (-2090)\/(-210))\/(48\/81) and 50\/(-8)*(-4)\/j.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 249.6 + -250. Let w = 14 - -22. Let x = -34 + w. What is the third smallest value in 0.5, x, m?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5806795 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, h: 2, g: 2, k: 2, i: 1, f: 1}. What is prob of sequence fih?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-9)*858\/52?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 divided by 5?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/3))**(-42))**41 assuming q is positive.\nAnswer: q**(-574)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 + -25. Suppose -3947*y = -3889*y - 232. Sort 2, y, z.\nAnswer: z, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + (7 - (-12 + 21))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.418 - -2.418. Let l be 2\/9 - 28\/(-441). Sort -0.2, -1\/4, l, i in decreasing order.\nAnswer: l, -0.2, -1\/4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2718?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 5*c - 2*x, 0 = 3*c - 2*x + 6*x + 11 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -12391028 and 70803?\nAnswer: 12461831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 220 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -1042*q - 6310. Calculate d(-6).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -30 - -39. Is (g\/(-36))\/((-2)\/632) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 6 - 2 + 3 - 2 - 2 + 0 + 4 - 6 + (0 + 2 - 4)*(-4 + 4 - 1))*(z + 1 - 4*z + 0*z) to the form l + y*z and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/11)*m*m\/m**4*(m*m**0)**33)**(-4\/23))**(-41) assuming m is positive.\nAnswer: m**(56252\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 206\/7 - 30. What is the third biggest value in 4, 0.21, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*r - 53*r = -m - 6, -4*r = -m - 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - 53822?\nAnswer: -53820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04582, -2, -5, 4 in decreasing order.\nAnswer: 4, -0.04582, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8\/7? (a) 1 (b) 1.3 (c) -0.5 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + (-1 - 2) - (-237 + 255)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/4 and -5\/11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.7854556 days?\nAnswer: 67863363840000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -10, -11, -10, -7?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 54 + -9. Is 15 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17363 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16.729 meters to nanometers.\nAnswer: 16729000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 6*q**2 + 6309*q - 6311. Determine g(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45410, -45411, -45412, -45413, -45414, -45415?\nAnswer: -45416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-8) - 225\/(-60). Solve -v = y - 3*y, -2*y - 4 = 2*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 PM and 9:32 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k*k\/(k\/k**5))*k*(k*k**(-1)*k)\/k*(k**(-2)\/k*k)**(-17) assuming k is positive.\nAnswer: k**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4313 - 1471 + 1024 = -280*k for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 273 - 82 - 101 - 18*h**3 - 90 + 564*h**2.\nAnswer: -18*h**3 + 564*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -161 or -11869\/74?\nAnswer: -161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**3 + r - r)*(r - r + 3*r) + r**2 - r**2 - 2*r**4 + 44116 - 44116 - 1186*r**4.\nAnswer: -1185*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -2. Let c be -4*4\/(8\/t). Suppose 3*g - c*g = -18. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 345 is divided by 104.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*l**2\/15 - 8374*l\/5 - 1436\/3.\nAnswer: 2*(2*l - 1795)*(7*l + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, 7\/6, -98, -5, -6?\nAnswer: -98","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -38*h - 33 + 8 + 23*h wrt h?\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32 and 42124?\nAnswer: 336992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(2 + (-1 + sqrt(99))*-3*-4*-2)*4)**2*-1.\nAnswer: -23080000 + 1497600*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {p: 2, m: 7, d: 1}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 91 and 1183.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-5)*(-20)\/(-6). What is the first derivative of -5 + 0*c**4 - 36*c**3 + 36*c**3 + c**b wrt c?\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (21 + 9*a - 21)*(-5 - 50 - 93) + 3 - 3 + 3*a to the form g + t*a and give t.\nAnswer: -1329","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1\/2, -0.4, -13.\nAnswer: -13, -1, -0.4, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*u + 2 = 20*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1001*b**2 + 995*b**2 + 9*b**3 + 21*b**3 + 2052*b**2 - 4045*b**2.\nAnswer: 30*b**3 + 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o**3 - 9*o**2 + 2*o + 3. Let k(d) = -d**2 + d + 1. Let z(g) = -5*k(g) + u(g). Calculate the least common multiple of 12 and z(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 PM and 6:13 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c\/((c\/(c\/(c**(-1\/5)\/c)))\/c))\/c)**(14\/11) assuming c is positive.\nAnswer: c**(224\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8\/3, -5, -2, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -324*t + 1970 = 70*t. Solve 0 = -3*d + t*k - 6 + 10, -3*d = -2*k + 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 56471.56469 to 0 decimal places.\nAnswer: 56472","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5476, -8411, -16374, -31879, -57440, -95571, -148786?\nAnswer: -219599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1705682679 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 0*x = -2*x - 2, -3*x + 11 = q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -264 = 44*s - 0 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*r + 21*r = 0. Let w = 0.1 + 0. What is the nearest to w in -1, 0.1, r?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 10*h**3 - 5*h**2 + 7*h + 5. Let s(x) = -9*x**3 + 6*x**2 - 8*x - 6. Determine 6*g(f) + 5*s(f).\nAnswer: 15*f**3 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -2*b + 2 + 2\/3*b**3 + 1\/2*b**2. List the prime factors of q(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/32 + (-11)\/24. Sort 4, 2, b, 1\/2 in decreasing order.\nAnswer: 4, 2, 1\/2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -161*p**2 - 10*p**2 + 205*p**2.\nAnswer: 34*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7312699\/128 - 57131. Calculate the common denominator of 5\/2 and m.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 5. Suppose 3*q = f*c - 5*c - 4, -5*q = 20. Suppose 11 = -c*g + 5*g. Does 3 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c*h**2 + 216*c*h + 26*h**3 + 4*h**2 + h wrt h?\nAnswer: 4*c + 156*h + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 23. Let n be s\/51 + (-4)\/12. What is the smallest value in -2, n, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 3*a + 6*a + 21, -3*z + 4*a = -26. Let k = 84 + -50. Calculate the smallest common multiple of z and k.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16293241 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a gram in milligrams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 188534801?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 101417753?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 4*p**2 - 57*p + 86. What is x(4)?\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33\/(-110)*10\/4.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11412 divided by 4?\nAnswer: -2853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1207100 by -2.\nAnswer: 603550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 12. Let k(s) = -34*s + 14. Let u be k(f). What are the prime factors of (4\/3)\/((-8)\/u)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7134984 and 216.\nAnswer: 21404952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.353282 litres to millilitres.\nAnswer: 1353.282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-10) + (-4)\/(-20). What is the second biggest value in w, -2, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 - v - 1. Let c be u(-2). Find the second derivative of -c*t**2 + 2*t - 10*t**2 + 17*t**2 wrt t.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 203\/6 - 7\/(-210)*5. What is the highest common factor of 323 and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1423 + 708 - 362*r**2 + 714.\nAnswer: -362*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -217 (b) 0.04 (c) 3\/5 (d) -5\/4 (e) 78 (f) -2\/17\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4*(-6)\/(96\/52). Find the common denominator of 39\/u - (-19)\/(-4) and 68\/(-9) + 1\/2.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 8) in base 7?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/33 and 3 + -4 + 2 + 10\/(-27).\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 4*w**4 - 1392*w**3 + 129900*w**2 - 3716608*w + 3588096 = 0.\nAnswer: 1, 64, 219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, 182, 480, 878, 1376, 1974, 2672?\nAnswer: 3470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9387 * -24480.\nAnswer: 229793760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2261, 4579, 6897?\n\"Answer: 2318*z - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2405, 19071, 64371, 152645, 298233, 515475, 818711, 1222281?\n\"Answer: 2390*v**3 - 23*v**2 + 5*v + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2178095435 to the power of 1\/2, to the nearest integer?\nAnswer: 46670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of 181*c**4\/8 - 733*c**3\/6 + 791*c**2. What is the derivative of k(b) wrt b?\nAnswer: 543","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1943?\nAnswer: 29, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/2*(-6314)\/(-2706)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 + 19*n + 1472. Let h be q(-30). Solve 0 = h*s - 2*t + 12 - 36, -2*s = -5*t - 45 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 3 (c) 356706\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((40\/(-8))\/(-5))\/(13\/2)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 1.3, 2, 3 in descending order.\nAnswer: 10, 3, 2, 1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10302797 divided by -41047.\nAnswer: -251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, -0.2, -36\/13 in descending order.\nAnswer: -0.2, -36\/13, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 766*t**3 - 2*t**2 - 744*t.\nAnswer: 4596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + 1)*(-1)\/(-1). Let v = f - 1. Suppose w - p = 30, v*w - 4*p + 83 = 3*w. List the prime factors of w.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4870403 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -6*p + 2*z + 276, -3*p = 4*z - 176. Suppose 3*j = 5*i - p, -3*i = -22*j + 27*j + 48. Which is smaller: j or -88\/7?\nAnswer: -88\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 5*n + 31 = 0, -5*n - 33 = -4*x - 0. Suppose -220 = x*o + 510. 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 s(q) = 6*q**2 - 20*q. Let n(h) = -h**2 + 7*h. Give 17*n(c) + 6*s(c).\nAnswer: 19*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/40)\/(((-1927)\/(-615))\/(-47)).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8081 to the power of 1\/2, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 225 + -2699\/12. Suppose 3*d = 3*f - 3, 4*f = f - 5*d + 27. Suppose -3*j - f = j. Which is smaller: j or p?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vhhyhyhvhyhhyh. Give prob of sequence hyyy.\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -123995937491 and -0.357?\nAnswer: 123995937490.643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.27517nm in centimeters?\nAnswer: 0.000006827517","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3 + 5*x**2 + 73*x - 77.\nAnswer: -(x - 11)*(x - 1)*(x + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 736*w**3 - 10*w**2 - 94*w wrt w?\nAnswer: 4416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 299.\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 347281601 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1609107?\nAnswer: 3, 59, 9091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q + 27*q - q)*(-2*q + 2 - 2 - q + 0*q + 0*q + (3 + 1 - 3)*(q - 6*q + 4*q) - 2*q + 4 - 4 + 21*q - 6*q + 26*q + 1).\nAnswer: 1050*q**2 + 30*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/2, -2\/7, -5, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 - 11*d**2 - 17*d + 12. Let l be o(-9). Solve -9 = l*h - 0*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 1:23 AM?\nAnswer: 3:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2202 is divided by 69?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 + 1 = -4*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**11*d)\/d**(1\/10))**45 assuming d is positive.\nAnswer: d**(1071\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of -d**6\/6 - 51*d**5\/5 + 105*d**4\/4 - 53*d**3\/3 + 314. Factor c(f).\nAnswer: -f**2*(f - 1)**2*(f + 53)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*c - 150*c + 9393 = 11325 for c.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11*14\/5005*1*5*1.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177.56 <= 206?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/12747 - 262021\/4249. Let k = m - -61. What is the closest to -1 in -1, k, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 1\/3, 0.2, 15, -23, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -10114, -20268, -30422?\n\"Answer: -10154*x + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22 is divided by 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 2.2 (b) -0.6 (c) -2 (d) -5 (e) 6\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*n*v**2 - 3*n*v + 2*n + 2*v**3 - 1126*v**2 + 23 wrt v?\nAnswer: -4*n + 12*v - 2252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7 + -2 + -2 - (-23834)\/34. Suppose -4*p = -0*p - c. Calculate the lowest common multiple of 12 and p.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*h = 29*h + 43*h + 75 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(228)*2)\/(sqrt(12) - ((sqrt(300) - (sqrt(300)*2 + sqrt(300) + sqrt(300))) + sqrt(300))))**2.\nAnswer: 1900\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -3\/7 (c) -0.6 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 - 5*n**3 + 14 + (0*n**2 + n**2 - 2*n**2)*(-4*n + 3*n + 3*n) - 12*n**3 - 6*n**3 - n**3 to l*n**2 + t + h*n**3 + c*n and give h.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.87 - -2.93. Let h = 0.06 - i. Put h, 1, -3 in increasing order.\nAnswer: -3, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -148*o**2 + 612*o + 284281 wrt o.\nAnswer: -296*o + 612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ux when two letters picked without replacement from kxpbkbu?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 - 4*x**2 + 24. Let n(t) = -t**3 - 3*t**2 + 25. Calculate -3*l(m) + 4*n(m).\nAnswer: -m**3 + 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -61, -188, -437, -850, -1469, -2336?\nAnswer: -3493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 7 = -t, -8*l + 11*l - 50 = -4*t. Calculate the smallest common multiple of 3 and t.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 divided by -18068859\nAnswer: 19\/18068859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 965, 1398, 2549, 4772, 8421, 13850?\nAnswer: 21413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377) - (sqrt(1377) + (3*sqrt(1377))**2)) + sqrt(272)*4 + (sqrt(4896)*2)\/(sqrt(2) + (sqrt(56)\/sqrt(4))\/sqrt(7) - sqrt(2)).\nAnswer: -12393 + 40*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 33734 = 2*j, 0*c = -c + 3*j + 16891. Is c a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = p - 0*g + 3, 2*p = -3*g + 19 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x**2 + 250*x - 2665. Give i(10).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17017?\nAnswer: 7, 11, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2272970, 4545942, 6818916, 9091892, 11364870, 13637850, 15910832?\nAnswer: 18183816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 200 - 74260*y - 200.\nAnswer: -74260*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = 4*t + y, 0 = -239*y + 234*y - 5 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -1. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 5 + 9*v + 0*v.\nAnswer: 9*v - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 - 3*o + 6. Let m be u(4). Solve s + 2 = 4*d + 1, d = -3*s + m for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -2613?\nAnswer: -260f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 425*x**2 + 3*x - 4. Suppose 10*h + 8 = 18*h. What is the tens digit of q(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-8))\/(f*f**(-9))*f**(-3)*f**5 assuming f is positive.\nAnswer: f**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of -3*u**2 + 0*u + 0*u**4 - 1\/75*u**5 + 0 + 0*u**6 + 1\/525*u**7 + 1\/15*u**3. Factor j(t).\nAnswer: 2*(t - 1)**2*(t + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 628653 and 103197?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 1, q + 2*q = 2*d - 3283. List the prime factors of d.\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of -m**7\/60 - m**5\/10 + 35*m**4\/24 + 34*m**2. Let r(c) be the second derivative of s(c). What is the derivative of r(f) wrt f?\nAnswer: -84*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 1206 = -5*g, -5*g + 4*t - 5*t = 1218. Let h = -143 - g. Is 15 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -870, -888, -918, -960, -1014, -1080, -1158?\n\"Answer: -6*m**2 - 864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 2:21 PM?\nAnswer: 12:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 3*l**4\/4 + 9*l**3 - 3*l**2\/4 - 9*l = 0.\nAnswer: -12, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 1 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29\/4 + -91\/12. Let w = 0.05 + 0.35. Let x = w - 0.7. Which is the third biggest value? (a) 3 (b) s (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.168147405 rounded to 2 dps?\nAnswer: 6.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 415 + 4*d**2 + 422 - d**3 - 837 - 2*d**2 - 869*d.\nAnswer: -d**3 + 2*d**2 - 869*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 10 - 6*f + (f - 2*f - f)*(1 + 0 - 3))*(129*f + 54*f - 79*f).\nAnswer: -208*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3888 - 523?\nAnswer: 3365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 25665*c - 230920. Calculate j(9).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 2668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n + n + 5*n + (-3*n - 2 + 2)*(-117 - 44 + 704) + (3 + 1 - 2)*(-4*n + 3*n + 3*n).\nAnswer: -1621*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (p + p - 5*p)*(p**2 - p + p)*((4 - 3 + 0)*(20 - 4 + 7) + 1 - 1 + 1) in the form w*p + h*p**3 + f*p**2 + a and give h.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28 - 19. What are the prime factors of -1 + 42\/b*3?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26054 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -962 - -1036 - (5 + -47)\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 853, 5, 0, -2 in increasing order.\nAnswer: -2, 0, 5, 853","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1453 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence merr when four letters picked without replacement from {r: 2, e: 1, g: 1, m: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k**2 - 11*k + 6. Let t(z) = -z**2 - 6*z + 3. Let x(h) = 3*o(h) - 5*t(h). Let a be x(5). Let u = a - -73. Does 18 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 735264 and 40848?\nAnswer: 735264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {t: 7, h: 3}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*p**2 - 19*p**2 + 11*p**2)*(-89*p + 15*p**3 + 89*p) + (p**3 - 2 + 2)*(3*p**2 - p**2 - 4*p**2).\nAnswer: -527*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that a**4 - 4119*a**3 - 82680*a**2 - 413900*a = 0.\nAnswer: -10, 0, 4139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrvrvrrrrvvrr. What is prob of picking 1 v and 2 r?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/(((-36)\/(-87))\/6). Is l at most as big as -146?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -679823049*b**5 + 1980*b - 4674 wrt b.\nAnswer: -13596460980*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.12 - 13722107941072.\nAnswer: -13722107941072.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 3*k - 24 = 0. Let z(w) = w**3 + 7*w**2 + 5*w - 6. Let v be z(k). Let l = 2 - 0. Solve l*f - 4 = -v for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2678)\/(-260) - 5*2) + 1\/(-2)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*h + 16*h - 24*h.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 54*a - 869. Let m be t(16). Sort -1\/89, -0.5, 0, m, -2 in decreasing order.\nAnswer: 0, -1\/89, -0.5, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8, -1429, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1313 + 253 = -10*y. Calculate the greatest common divisor of 2 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1239 and 294.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 271, -10, -279, -530, -757, -954, -1115, -1234?\nAnswer: -1305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -13. Put 13, -5, q in decreasing order.\nAnswer: 13, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -120221*-1.723\nAnswer: 207140.783","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21c02b (base 13) to base 16.\nAnswer: -c2b6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 5 + 22 = 0. Let g = l - 10. Let n = g + -5. Solve n = -b - 1 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -24*z**3 - z**2 - 6158*z + 543564 wrt z.\nAnswer: -72*z**2 - 2*z - 6158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63, 77, 89, 99, 107, 113?\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/1176*-105)\/((-291)\/(-5044))\nAnswer: 65\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 PM and 9:16 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(2) + -1 + sqrt(14)\/(2*sqrt(7) - sqrt(7)).\nAnswer: -5 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -114*j - 5. Let h be i(-2). Suppose -167 = -5*f + 2*v - 448, -v = -4*f - h. Let o = -34 - f. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5602755 (base 8) to base 3\nAnswer: 2211122202011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13145281 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-3 - (8 + -3 + -14))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (25*(-20)\/(-500))\/(7\/(-35))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/2 - (-3)\/6. Let h(n) = d + 0*n - 6*n - 4*n + 8*n. Calculate h(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 5*s = 104. Let w = 95 + s. Which is the third smallest value? (a) -2 (b) 1\/2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 299790 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 6:27 PM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.6375 - -1.6375. Sort u, -1, 2.13 in descending order.\nAnswer: 2.13, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 282 and 103200.\nAnswer: 4850400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -2\/35, 0, -18 in decreasing order.\nAnswer: 0, -2\/35, -3, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -33*c**2 - 135*c - 9. Let d be s(-4). Suppose 6\/5*y**d + 2\/5*y**4 + 4\/5*y**2 + 0 + 0*y = 0. What is y?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2256*k = -2213*k + 1978 for k.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-20)*(12\/(-48))\/(19*(-13)\/(-3211)).\nAnswer: 13\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 78676481?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + -1. Let s be (-4)\/(-27)*m\/2. Let y(j) = -j**3 - j**2. Let x be y(-1). Which is the nearest to x? (a) 3 (b) -2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 234, 233, 232?\n\"Answer: -g + 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*a + 70 = 4*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -6*s**3 + 5*s**2 + 4*s. Let v(m) = 11*m**3 - 9*m**2 - 7*m. Give -7*u(b) - 4*v(b).\nAnswer: -2*b**3 + b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 + 14*i + 10. Let m be w(14). Let t = -4912\/7 + 225301\/322. Find the common denominator of (2 - (33\/m - 3))\/(-2) and t.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1340806946632.8 - -0.5.\nAnswer: 1340806946633.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + 18*n**2 + 30*n + 45. Let r be i(-16). Suppose 0 = 12*f - r - 115. Calculate the greatest common factor of 24 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1496\/(-12) + (-3)\/9. Let t = 1556 + -1054. Let d be 144\/(-4 - t\/v). What is d rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 59*h + 25*h - 86*h + 1367 + 357 in the form c*h + z and give z.\nAnswer: 1724","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, f: 7}. What is prob of picking 4 f?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 326583371 a multiple of 158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j - 4*j - 3*j)*(1 - 5 + 3) - 4262*j + 2131*j + 2145*j + 29 + (-j + 4 - 4)*(3 + 4 - 5) - j + 3*j - 3*j.\nAnswer: 13*j + 29","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114 is divided by 58?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -193*l. Suppose 3*b + 2*i - 2622 = 0, -3*b + 2487 = -5*i - 135. Let w(d) = 1751*d - 876*d - b*d. Determine w(g(s)).\nAnswer: -193*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -15\/2*x**2 + 3*x + 217 + 39\/4*x**4 - 4\/3*x**3. What is the second derivative of q(r) wrt r?\nAnswer: 234*r - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -257 - -844. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 12:57 AM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -33197.677 - -0.9?\nAnswer: -33196.777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -182*j + 195*j - 26 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(5 + (1*sqrt(171))**2*-6 + (sqrt(171) + 2 + 1*sqrt(171) - sqrt(171))**2).\nAnswer: -1692 + 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1825, -3539, -4999, -6073, -6629, -6535, -5659, -3869?\nAnswer: -1033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5133 is divided by 4845?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1778 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.6 in -1\/3, -22, -8.8?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11.6 + 10. Round x to 0 decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 5*a - 7 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(-3) - (1 - -1). Suppose -6*o - 19 = 17. Let v be (-10)\/4*(-4 - o). Sort 4, r, v in decreasing order.\nAnswer: 4, r, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of u**3\/3 - 2*u**2 - 1. Let o be 6\/(-24) - 2\/(-8). Suppose 2*m - 4*k = 10, o*m = m - 5*k - 5. Calculate f(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -61, -10, -68 in descending order.\nAnswer: 3, -10, -61, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zvxlr. What is prob of sequence xzr?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 41 + (-3 - (2 - 4)). Suppose 0 = -a - 3*a + j. Is 4\/a + 1596\/35 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 35 = 4*b + 209, -5*b - x - 12782 = -12843 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3328575.\nAnswer: 3, 5, 44381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of i**7\/21 + 2*i**3\/3 + 2*i - 3. Let h(o) be the first derivative of z(o). What is the second derivative of h(l) wrt l?\nAnswer: 40*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/12*2)\/(-3). Let g = 69 - 168. Let h = 101 + g. What is the smallest value in p, h, 4\/7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -918 + 920. Let b(d) = d + 8. Let r = -19 - -13. Let t be b(r). Solve -t*j - n*l - 1 = l, 4*j + 5*l = 1 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -167804 by -167804.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 243043 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 257.891ml?\nAnswer: 0.257891","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4187 and 29638509.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 256 is divided by 124.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kvyqynnkyvkykkkyyk. Give prob of sequence qvvy.\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1399428, 2798860, 4198292, 5597724, 6997156, 8396588?\nAnswer: 9796020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 201\/39 - 1\/((-26)\/(-4)). Suppose m*s + 1266361 = -4*a - 1233651, -5*a - 15 = 0. Round s to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - 3445?\nAnswer: -3454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1300400 - -3?\nAnswer: -1300353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of -19*t**3\/2 + t**2 + 5*t + 7. Let q(y) be the first derivative of x(y). Is q(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of x**5\/15 - x**4\/12 + 3*x**2 + 3*x. Let t(s) = -9*s**2. Let h(c) = 2*c**2. Let y(m) = 26*h(m) + 6*t(m). What is y(z(u))?\nAnswer: -32*u**4 + 32*u**3 - 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 7:14 PM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14771\/12 + 3692\/3. Which is the closest to 1\/2? (a) g (b) 2 (c) -3\/38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8 - 79*t**2 + 123*t**2 + 4*t**3 - 20*t**3 - 15*t - 5*t.\nAnswer: -4*(t - 2)*(t - 1)*(4*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 325, 339, 363, 397, 441, 495?\nAnswer: 559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.4824 + 0.47. Let c = u - 0.014. Round c to three dps.\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 + 16 - 713\/23\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 191*m**3 + 88*m**2 - 80497?\nAnswer: 573*m**2 + 176*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 + 129*y + 3490. Determine t(-37).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a decade in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q**2 - 102*q - 540. Let t be d(-6). Factor 0*u**3 - 18\/11*u**4 + 0*u - 6\/11*u**5 + 24\/11*u**2 + t.\nAnswer: -6*u**2*(u - 1)*(u + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-32)*-2*1)\/((-414)\/(-9522)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 5*u - 382. Let a(c) = -26*c + 1906. Give -3*a(o) - 16*y(o).\nAnswer: -2*o + 394","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/4*(197 - 201)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*j = -32*j + 69*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/54)\/(-2) - 888\/5994?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*-1 + (15 - 10). Let p be (d\/(-2) - 15) + 1. Is (p + 3)\/(2\/(-22)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 18 from 1.5.\nAnswer: -16.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 16480801 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s + 1. Let y be (-8)\/(-3) - (-10)\/(-15). Calculate r(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 6*y + 16774. Let r(g) = g**2 + 1. Calculate r(l(d)).\nAnswer: 36*d**2 + 201288*d + 281367077","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 27 - 83. Suppose -4*g + m = -3*g. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26831201 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -189350*246\nAnswer: -46580100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 406 or 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11473225 (base 8) to base 4.\nAnswer: 21213122111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001092569654 rounded to 7 dps?\nAnswer: 0.0010926","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 240*d**2 - 1648*d + 54. What is b(6)?\nAnswer: -1194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165947 is divided by 532.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116 = 12*h - 68. What is the closest to -2 in -2\/9, 2\/21, h, 1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 585*h**2 + 51*h**2 - 237*h**3 + 233*h**3 = 0.\nAnswer: 0, 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 - y - 14. Let o(s) = 2*s**2 - 2*s - 27. Let p(d) = -11*b(d) + 6*o(d). Calculate p(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x + 12. Let s be i(7). Let d(m) = -8*m**2 + 4*m**2 + 10*m - m**2 + s + 6*m**2. Calculate d(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2083224 is divided by 130201.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 215465519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (((-4)\/2)\/((-60)\/48))\/(56\/(-700))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 53*i + 420 = 10*i for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 6*p - 3955*p**2 + 3953*p**2 - 2*p - 4*p. Let a(v) = 7*v + 73. What is w(a(x))?\nAnswer: -98*x**2 - 2044*x - 10658","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 98 - -33. Let l = c - 35. Suppose 0*b + l = b. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*l - 127841 + 1793 = 0. List the prime factors of l.\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -4*m**2. Let h(n) = -3*n**2. Let p(u) = -7*h(u) + 5*x(u). Let a(s) be the first derivative of -25*s**2\/2 + 1. Give p(a(k)).\nAnswer: 625*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*q - 3*q**2 - 38*q + 6*q to k*q + d*q**2 + n and give k.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-9))**(2\/159)*(v**(-1\/2)*v*v)**(-8) assuming v is positive.\nAnswer: v**(-1888\/159)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4064655, -8129299, -12193943, -16258587?\n\"Answer: -4064644*p - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -3*u**2 - 32 + u**2 + 10*u - 7*u**2 + 31 = 0.\nAnswer: 1\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 at most 252\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6215542*w**6 + 3*w**2 + 6*w + 22063.\nAnswer: -745865040*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*m - 6. Solve m*n + 8 = n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -333*b + 0*b**2 - 539*b - 11*b**2 + 50*b - 10*b**5 - b**2 wrt b?\nAnswer: -200*b**3 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 67125137 and 1271.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(40)\/(-5*sqrt(8)) + sqrt(5) + 1 + (sqrt(5)*2)**2.\nAnswer: 4*sqrt(5)\/5 + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 226189300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 19085?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -3*y**3 + 15*y**2 + 32*y - 10. Let q(l) = -2*l**3 + 16*l**2 + 32*l - 8. Let w(s) = -5*q(s) + 4*u(s). Factor w(m).\nAnswer: -2*m*(m + 2)*(m + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1447834 kilograms in micrograms?\nAnswer: 144783400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/9 - (-6100)\/(-30). Let s = 237 + z. Solve s*b = 34*b + 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2215, 4800, 7373, 9934?\n\"Answer: -6*j**2 + 2603*j - 382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3 (b) -14 (c) -0.24 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 3\/4, 2\/5, 11958\/28531?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 AM and 8:28 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 17343206 to the power of 1\/4, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 2*i - 48*i**3 + 97*i**3 - 51*i**3)*(4*i**2 + 2*i**2 - i**2).\nAnswer: -10*i**5 + 10*i**3 + 40*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-72)\/5)\/(((-90)\/48)\/(825\/(-132))).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vn when two letters picked without replacement from vvnnv.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5, m: 2, s: 1, o: 2, t: 1, d: 5}. Give prob of picking 1 t, 1 d, and 1 m.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -26*h - 3. Let b(t) = -26*t - 2. Calculate -6*b(s) + 4*w(s).\nAnswer: 52*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -0.02, -2.2, 1\/52, -2\/9, 0.09?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-4\/7)\/d)\/d*d*d**10*d)\/((d\/(d*d\/(d**8*d)))\/(d\/d**(4\/5)*d)) assuming d is positive.\nAnswer: d**(92\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-8)\/(-20))\/(2\/45). What is the tens digit of 259 + (3\/h)\/(10\/90)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 234406506 + 20.69?\nAnswer: 234406526.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 43 - 22. Let p = -26 + h. Which is bigger: -6 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 7489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-3613)\/42 + 1416\/59472.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 949 - 5173 = 75*t - 1149 for t.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-623)\/(-445) + 44\/(-10).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 + f - 1. Let s(n) = 2*n**2 + n - 1. Let m(c) = -5*b(c) + 6*s(c). Let u be m(1). Suppose 0*q - u = -q. Is 5 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 5*q + 95 = 0, 0 = -5*i - 4*q + 304 - 84. Suppose 0 = -a + 5*a - i. Let b = -7 + a. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -116, -132, -138, -128, -96, -36, 58?\nAnswer: 192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1 (b) 5 (c) 0.2 (d) -2\/5271\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -4*m - 3. Let i be g(-8). Suppose 2*f + 3*f - 25 = 0, 5*o - 30 = 3*f. Let d = i - o. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -428362 + -141?\nAnswer: -428513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*q - 1407339 - 1046010 = -37404. What are the prime factors of q?\nAnswer: 7, 19, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-2 + sqrt(2736))**2.\nAnswer: -144*sqrt(19) + 8220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -3.8. Let y = -5.2 - -5.3. Let g be (-6)\/(-18)*(3 + (-21)\/2). Which is the third smallest value? (a) v (b) y (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-3)*(15\/(-6) - 5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 6344993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -f**2*q + 14*f**2*x - 54*f**2 - 32*f*q**2*x**2 - 2*f*q**2 - q*x**2 - 5 with respect to x.\nAnswer: 14*f**2 - 64*f*q**2*x - 2*q*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r - 5. Let f be (18\/(-7))\/((-27)\/126). Let c be (f - 0)*2\/3. Calculate the least common multiple of b(c) and 5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101012936.\nAnswer: 2, 12626617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -6065, -12048, -17955, -23792, -29565?\n\"Answer: -r**3 + 44*r**2 - 6108*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 465\/(-51) + (-16)\/(-136). Let x(t) = -t**2 - 10*t - 9. Let h be x(f). What is the biggest value in h, -4\/3, -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 199246665?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-9)\/(864\/584))\/((-3)\/(-2)) and 35\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5792.42 to the nearest 100.\nAnswer: 5800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 584000 rounded to the nearest 10000?\nAnswer: 580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + 16740464?\nAnswer: 16740461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/97 (b) -0.1 (c) -5 (d) 0 (e) -274 (f) 2\/7 (g) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14582*s**3 - 3 + 2*s + 5 + 14540*s**3 + (-4*s + 6*s - s)*(s**2 - s**2 + 2*s**2).\nAnswer: -40*s**3 + 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -758 - -1394. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 50*n = 613550. List the prime factors of n.\nAnswer: 7, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 5*i - 2. Suppose -v - 4*g - 7 = 0, -2*g = -4*v + 31 - 5. List the prime factors of a(v).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 939361 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4472840107 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one twentieth of a meter?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 208 - 132. Calculate the remainder when k is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 62098656*l**3*y + l**2*y - 285509*l**2 + 7*l*y + 3*l + 3*y wrt l.\nAnswer: 372591936*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 633 - -4?\nAnswer: 637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -3*r**2\/4 + 22347*r\/4 + 2036409\/2 = 0.\nAnswer: -178, 7627","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of 0 - 3\/2*d**3 + 0*d + 9*d**2 + 1\/3*d**4. Find the first derivative of j(c) wrt c.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33714210 rounded to the nearest 100000?\nAnswer: -33700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*g + 2258*g = -30418 - 52847 for g.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-225)\/1200 - (-7 + 4945\/80)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 440 a factor of 1836746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j + 13. Suppose -4*y = -5*i + 51, -i + 0*y = -4*y - 7. Let u be g(i). Suppose d - 579 = -u*d. List the prime factors of d.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a29a39 + -28?\nAnswer: 1a29a11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1741 is divided by 92.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-31034)\/(-24459) - (120\/62 + -2)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13220?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 186 = 7*q + 2*y, -2*y = -4*q + 166. Suppose 3*f + f - q = 0. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 + -7. Let a(s) = 0*s**2 - s**2 + 0 - 5 + 10*s. What is the units digit of a(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1477076051\/3 - -5938876724103817\/12062094. Let t = 1\/1969 - p. Let o = t - -83707\/30630. Find the common denominator of -3\/2 and o.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -1\/5 (c) 1 (d) 64\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + z + 2 = 4*n, 4*z = 0. Suppose u = 3*t - 16, -u + 3 - 7 = -t. What is the units digit of 2\/(t\/15) + n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i. Let j(q) = 78741395*q**2. Determine o(j(s)).\nAnswer: -157482790*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y**2 + 7*y + 10. Suppose -64*i + 20*i - 91 = -31*i. Calculate q(i).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -312 = -7*f - 326 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = u - 7*a - 16, 2*a + 8 = -2*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.6896 - 0.69. What is r rounded to five dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -4*l**2 - 7*l - 5. Let s(t) = -2*t + 1. Let m(v) = -v**2 - v - 2. Let x(p) = 2*m(p) + s(p). Let k(b) = 6*a(b) - 11*x(b). Give k(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/3)*p**(-5\/2))\/(p**2)**(2\/159) assuming p is positive.\nAnswer: p**(-303\/106)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8545.\nAnswer: 5, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -3*t - 5*m, 2*t - 3*m + m = 14. Suppose t*u = -4*a + 39, -3*u + 0*a - 3*a + 36 = 0. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(-4 - (-6)\/1). Solve -8*j + 9*j = c for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b + 6. Let j(f) = f + 1. Let g be j(-6). Let x be r(g). Which is bigger: x or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -2*t - 375, -4*i + 6*i + 3*t - 237 = 0. Let c = i - 82. Is 19 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f**2 + 7*f + 18. What is i(-6)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 6704832?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-22527)\/18 - -8)*(-33 - -11)?\nAnswer: 3, 11, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 - k**2 - k + 184. Let j be o(0). Suppose 72 = 2*b - 3*n + 6, -2*n = 5*b - j. Is 10 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 810 and 1134?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*x + 26*x = 54712. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32 - -37. Let y(v) = -v**2 - 3*v + 3. Let u be y(-3). Do u and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(78)*1*-4 - sqrt(78)))\/((2*sqrt(162))\/sqrt(3))*-3.\nAnswer: -5*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 8258914000 to the nearest one million.\nAnswer: 8259000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3264\/(-170)*510\/(-612).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 0)*396\/924.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/(-2) + -4 + 7. Let s be (-8)\/(-3)*b*888\/(-32). Suppose s = 4*h - 3*n + 5*n, 3*h + 5*n = 97. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-192)\/(-400))\/(3\/(-10)) + 1352\/(-130).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1080524000 rounded to the nearest one million?\nAnswer: 1081000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of u**4\/24 + u**3 - 11*u**2 + 31*u - 2. Let r(n) be the first derivative of k(n). What is r(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/4, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/2 and (-1)\/((-3204)\/9945) + -3.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-9)*(-5)\/((-30)\/(-4)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1504)\/564*(-1)\/(2\/3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + -11 + 9 + (-1 - 2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 38720000 to the nearest one million.\nAnswer: 39000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 10 = 3*f - 2, 3*d = -3*f - 12 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4543d - -8?\nAnswer: 45446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13123 is divided by 18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -9483*s**2 + 4668*s**2 + 4489*s + 0*s**3 + 4681*s**2 + s**3 = 0. What is s?\nAnswer: 0, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*k = 283*k + 779*k + 28861 for k.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) 16\/15 (c) -19 (d) -2 (e) 0.02 (f) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 327023*r**2 - 654040*r**2 + 327021*r**2.\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2.4 and -23731.646.\nAnswer: -23734.046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18.09 - 0.09. Let d = p + -27. Let y = 6 + d. Which is the second smallest value? (a) -0.3 (b) y (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -125 divided by -213\nAnswer: 125\/213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 7*u)*(52*u - 52*u - 33*u**3) as v*u**2 + y*u + l*u**3 + t + n*u**4 and give n.\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15) - (sqrt(30)*-3)\/sqrt(2))\/sqrt(3) - (-4 + (sqrt(5) - sqrt(15)\/(sqrt(9)\/sqrt(3))) + sqrt(5)).\nAnswer: 4 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 591.\nAnswer: 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 196 - 159. What are the prime factors of q?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -3\/7, 12, 4 in decreasing order.\nAnswer: 12, 4, 1\/4, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 15433, 128514, 435445, 1033150, 2018553, 3488578?\n\"Answer: 16154*a**3 + a**2 - 722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1175 + 1170. Sort 1, -4\/79, -3, v in ascending order.\nAnswer: v, -3, -4\/79, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*w + 86*w - 67*w - 4*i = 50, 2*w = 4*i + 20 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 3*x = 0, 2*s + 4*x - 18 = 0. Let l be (2 + s\/(-3))*3. Let w = l + 14. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of -2\/3*r**3 + 0*r + 0 + 1\/24*r**4 + 6*r**2. What is h(-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 25\/6 in 2\/11, -14, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 + 15*z - 13. Suppose 3145 = 10*f + 27*f. Let t be (3 - 57\/5)*f\/(-51). Give a(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9020390 is divided by 4510102.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -109719730*v**3 + 132*v**2 - 3261*v + 3 wrt v?\nAnswer: -658318380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence no when two letters picked without replacement from {o: 3, n: 4}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20932709*f + 20932709*f + 25*f**3.\nAnswer: 25*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9488 - 7907. What is the greatest common divisor of 102 and p?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -64 + 64.073. Let f = -0.427 - r. Let o be 2\/(-3) + (-22)\/(-33). Which is the fourth smallest value? (a) 1 (b) f (c) o (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 6:53 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 920160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - 3*k**2 + 6. Let q(o) = -o**3 - 3*o**2 - o + 7. Let s(g) = 4*b(g) - 3*q(g). Determine s(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -20*k**3 - 8*k**2 - 17*k. Let x(l) = -7*l**3 - 3*l**2 - 6*l. Give -6*v(z) + 17*x(z).\nAnswer: z**3 - 3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 53, 79, 63, -25?\nAnswer: -215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*i - 15*i - 8*i - 14*i + 41*i.\nAnswer: -9*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 - 28. Which is the third biggest value? (a) 1\/7 (b) -1\/3 (c) -1\/2 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1147 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x**(-3)))\/(x\/x**(-3\/23)*x)*(x**5)**(-14\/3))**(12\/11) assuming x is positive.\nAnswer: x**(-6200\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/21)\/((p\/(p\/(p\/(p\/(p\/p**(-2\/11))))))\/p))\/(p**(2\/13)*p\/p**(1\/4)) assuming p is positive.\nAnswer: p**(-11897\/12012)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 102871 - 25589. Does 34 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.597331 weeks to milliseconds.\nAnswer: 3385265788.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/5))**(-31)\/((d\/(d**(-3)*d))\/d*d)**(-1\/11))**(-39) assuming d is positive.\nAnswer: d**(-13884\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z + 58. What is the remainder when 188 is divided by s(9)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 34 = 5*v, 0 = 5*i - 5 + 25. Suppose s = -2*s. Is 1 + s - (v - 26) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-54)\/32)\/(-27)*16.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-6) + 105\/(-490). Which is smaller: 1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, w: 7}. What is prob of picking 1 w and 3 e?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 - 8*g + 7. Let h be -14*4\/4*(-2)\/(-4). What is j(h)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen quarters of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 + -13. Suppose 7*u = f*u + 195. What are the prime factors of u?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/12 and -139\/89604.\nAnswer: 89604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -968 divided by 242?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = p + 20. Let k(s) = -12*s + 49. Let q be k(4). Put -3, q, p, -4 in ascending order.\nAnswer: p, -4, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 AM and 9:54 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 572728290.\nAnswer: 2, 3, 5, 23, 830041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 6 = 3*t - g, t = -2*g + 1. Suppose -u + 0*u + t = 0. Solve u*v + 11 = 5*n + 2*v, -2 = 2*v for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1611, -1567, -1451, -1227, -859?\nAnswer: -311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 83175679 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -442.3921 rounded to one dp?\nAnswer: -442.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.185145709 + 0.4.\nAnswer: -5.785145709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add -279 and 0.508261.\nAnswer: -278.491739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 - -4. Let u be (0 + 0)\/(28\/g). Factor -1\/3*p + u + 1\/3*p**2.\nAnswer: p*(p - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -378 = -3*r + 3*q, -3*r - 2*q + 358 = -q. Calculate the highest common factor of 88 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffffff. Give prob of sequence fff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 21013213001 (base 4) in base 8?\nAnswer: 11074701","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y\/y**(-3))\/y)\/y)\/y*y\/y**3)\/((y\/y**4)\/(y\/(y*y**(-4)))) assuming y is positive.\nAnswer: y**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 16087 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 3) to base 15\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-240)\/32*4\/(-5). Let v(r) = 8*r - 10. Is 13 a factor of v(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -27*c - 2. Suppose 0 = -2*y - 2*k + 20, 2*y - 6*k = -11*k + 17. Let g(u) = 14*u + 1. What is y*g(b) + 6*j(b)?\nAnswer: -8*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 43 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 85218929 a multiple of 152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c7a (base 15) to base 11.\nAnswer: -212a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -47e (base 15) in base 10?\nAnswer: -1019","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 3*n - y + 6, 0 = 2*n - 3*y + 14. Let s = 1 - n. Find the second derivative of -2*f + f**s + f**2 + 3*f wrt f.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hshllhhhhh. What is prob of picking 2 h?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zta when three letters picked without replacement from apatzaaazzpzppa.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.575584l to millilitres.\nAnswer: 9575.584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*c - 3*c + 6*c)*(-1 + 2 - 8) to the form q*c + p and give q.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 795 and 2.\nAnswer: 1590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7658840 - -4?\nAnswer: -7658838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*u - 19 - 66 = 0. Let y = -10 + 14. What is the second derivative of y*w**2 + 22*w - 25*w**2 + u*w**2 wrt w?\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111011000 - 1010?\nAnswer: 111001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -1105*w - 1960*w - 328*w + 363*w + 250*w as l + n*w and give n.\nAnswer: -2780","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ca when two letters picked without replacement from gagaacgauayaauuua?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -165 + 161. Let z = -0.04 + -4.96. What is the closest to 1\/5 in z, o, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2270264 divided by -1.\nAnswer: 2270264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/9 (b) 4 (c) -0.5 (d) 41\/4 (e) 10\/7 (f) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3522650 and 19150.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 21 = -4*u - v, -3*v = -15 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d. Suppose -3 + 19 = 4*s. Let n(x) = 3*x. Let b(m) = 2*m. Let v(p) = s*n(p) - 3*b(p). Determine v(f(r)).\nAnswer: -12*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 17*a**2 + 5*a - 116. List the prime factors of c(10).\nAnswer: 2, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of x**6\/120 + 11*x**5\/60 + 3*x**4\/8 - 2*x**3 - 16*x**2 - x. Is 6 a factor of p(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2332438.\nAnswer: 2, 1166219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rbr when three letters picked without replacement from {c: 1, b: 2, q: 2, r: 1, o: 1, v: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2482525 (base 9) to base 16\nAnswer: 14a6ec","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2975 = 5*q, 2*q + 2*t - 33 = 1165. Let n = -33 + q. Does 29 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 13 - 5)*(0 + 29*r - 43*r + 0).\nAnswer: -28*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -679212 greater than -679211?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*q + 96*q = 16 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19763.491 + 19754. Round u to zero decimal places.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -144*h**2 - 136*h**5 + 150 - 72 - 78 - 2*h wrt h.\nAnswer: -8160*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 5 = 2*o, 28*b + 10 = 23*b + 5*o. Let n(v) = v**3 - 3*v + 4. Determine n(b).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1113\/318*6\/14?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25492483*p**2 - 25492486*p**2 - 33 - 9.\nAnswer: -3*p**2 - 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 109 - 105. Suppose l*s + s - 47 = -4*k, 4*s + 4 = 0. Suppose -p + k*p - 144 = 0. Solve h + p = 4*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of -6 - 16\/3*n**3 + 0*n**2 - 1\/3060*n**6 - 1\/510*n**5 + 0*n**4 + 0*n. Let p(a) be the third derivative of b(a). Factor p(m).\nAnswer: -2*m*(m + 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1000054 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 31705, 31696, 31687, 31678, 31669, 31660?\n\"Answer: -9*g + 31714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107 - 14 = 11*s. Let r be ((-3)\/(-10))\/(s\/(-110)). Suppose 8 = 2*g - 12. Solve d - 5*b = g, 3*b - 2 = r*d + 4 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2236, -8934, -20096, -35722, -55812, -80366?\n\"Answer: -2232*j**2 - 2*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/3)\/(-4*(-2)\/(-8)). Do g and 2\/141 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 15 = 17. Suppose j - 2 = -w, -5*j = -10*j - 3*w + g. Suppose j*h + 2*o - 7 = 2*h, h + 2*o - 1 = 0. Solve 5*b = -10, 3*z + h*b = b - 4 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 221601604?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34535300 is divided by 261631?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(-6))\/(2\/(-9)). What is the second derivative of d - g*d - d**5 - d**5 + 3*d wrt d?\nAnswer: -40*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 74 + ((20 - (22 - -8)) + 6 - -6)?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of -3*q**6\/5 + 2*q**3\/3 + 36*q. What is the second derivative of a(h) wrt h?\nAnswer: -216*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2041, 4082, 6133, 8200, 10289, 12406, 14557, 16748?\n\"Answer: k**3 - k**2 + 2037*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, s: 8, b: 4, w: 1, u: 1, x: 2}. Give prob of picking 1 l and 1 b.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5139*j + 6847*j = 93940 for j.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2754860819 to the nearest integer?\nAnswer: 1402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3362 + 4?\nAnswer: 3366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - -2 - (13 + -29) - (5 + (-61 - 4))?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 + -0.0061.\nAnswer: 1.9939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -479277296 divided by 119819324\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of w**4\/12 + 2*w**3\/3 + 11*w**2. Let m be o(-6). What is the nearest to 0.1 in -2\/15, m, 3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nndnnonnnnn. What is prob of picking 4 n?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of b**2\/2 + 1. Let q(k) = -5*k + 826 - 826 + 2*k. Give q(u(l)).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by 134?\nAnswer: -7\/134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05150436 rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - 2*p**2 - 2*p - 2. Let y be g(-2). Suppose -3*q + u - 77 = y*u, q - u = -27. Let t = q + 39. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 6*k**2 - 249*k - 72. Let p(r) = -4*r**2 + 172*r + 48. Let h(g) = -5*o(g) - 7*p(g). Give h(21).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-14949)\/(-24160))\/(20\/(-2)) and 63\/2.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 140, 12, 2.\nAnswer: 2, 12, 140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 2) to base 12.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 923242 is divided by 348.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5615.568 and -0.4?\nAnswer: -2246.2272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 10:33 AM?\nAnswer: 12:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = -20*v + 21*v + 6*y - 9*y, 0 = -v + 4*y + 44 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-7*(-25)\/175)\/((-21)\/(-3))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1*3)\/(2 - 1). Let f(y) = -y**2 - 11*y - 4. Let x be f(-10). Suppose 4*g = 6*g - x. Solve -g = -w*k - 18 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52049672?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 272 and 7572060?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(112) + -2*sqrt(112) + sqrt(112))*-1 + (sqrt(112)*1 + sqrt(112))*5))**2 + (3*((5*sqrt(112)*4 - sqrt(112)) + sqrt(112)))**2 + 0.\nAnswer: 683200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34 - -93. What is the remainder when i is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4943884060.\nAnswer: 2, 5, 247194203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.75 - -3.9. Let r = q - 0.1547. What is r rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -9\/10, -0.1, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2526019215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-3 + 1 + sqrt(1377) + sqrt(1377) + 0)**2 + ((sqrt(1377) - (1*sqrt(1377) + sqrt(1377)))**2 + -4)*3).\nAnswer: -28893 + 216*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 - 27*d**3 - 27 + 4*d**3 + 59.\nAnswer: -23*d**3 + 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - 6*y**2 - 2*y - 10. Let l be z(7). Suppose l = 7*b - 2*b. Suppose -b*x = 5*x - 420. Calculate the greatest common divisor of x and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3*i**3 + 0 - 5*i**3)*(137 + 23 - 1).\nAnswer: -318*i**3 - 159","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 6, u: 4, x: 4, y: 2, b: 1}. What is prob of sequence xxy?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/(sqrt(12) + sqrt(588)) + -2.\nAnswer: -2 + sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 163688.859973 - -0.140027. Let p = -163680.99976 + b. Let u = p + -8. Round u to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3\/97 - -373\/485. Which is the closest to -1? (a) q (b) -3\/4 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 96 = 4*v, -9 = -v + m - 4*m. Suppose 0 = v*j - 7*j - 28. Calculate the lowest common multiple of 6 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7315 by 133.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 - 0. Calculate the remainder when 64 is divided by o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + 4*sqrt(1872) - sqrt(1872)) + 4 + 4*(1 + sqrt(13)*2) + -4)**2.\nAnswer: 25168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {q: 2, p: 1, s: 5, n: 1, j: 7}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(536\/(-1809)) - (8 - 0)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2723*d**2 + 2*d - 3. Let g(f) = -7*f. Determine g(t(o)).\nAnswer: -19061*o**2 - 14*o + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3245 - 23089 = -13*j - 5*j. Does 37 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two fifths of a milligram in micrograms?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 88 times -9\nAnswer: -792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 4*p**2 - 4*p. Let t(h) = -h. Let d be t(-2). Let w be (-23)\/2 + 1\/d. Let r(f) = 7*f**2 - 7*f. What is w*s(m) + 6*r(m)?\nAnswer: -2*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 5*n = -1, t + 2*n + 9 = -n. Suppose -3*d = -x - 9, 0 = -4*x + 4*d - 3*d - 14. Let a = x + t. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -64, 24, 0, -7, -3 in descending order.\nAnswer: 24, 0, -1, -3, -7, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -450 divided by 50\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i + i - 5 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 - 1.9. Let r be 475\/30 + -3 + (-21)\/(693\/(-22)). Which is the third smallest value? (a) s (b) -0.5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 152\/(-10)*50\/(-4). Suppose -3*q + 125 = z, 5*q - 3*z = -z + b. Calculate the common denominator of -76\/9 and 2\/(9\/((-774)\/q)).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/3 (b) 3 (c) 1\/4 (d) -4 (e) -4\/15 (f) -3\/14 (g) -279\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 4*t + 165. Let b = t + 85. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1724 - -1731.208. Let y = -7.2 + w. What is y rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of 227*j**4\/4 - 419*j**3\/3 - 39. Find the third derivative of w(q) wrt q.\nAnswer: 1362","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*q**2 - 1487 + 1487 - 17*q**2 - 12*q**2 - 2*q**2 + (-2 + q + 2)*(-4*q + q + 4*q) - 2*q**2 + 2*q**2 + 4*q**2 in the form f + k*q**2 + b*q and give k.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 j, and 1 i when three letters picked without replacement from ivumvtujmtvmt.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2183198?\nAnswer: 2, 251, 4349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 1490 = 3*o + 1521, -3*d + 2*o - 11 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-27)\/45 + 2\/(10\/3). Suppose z*t = -u - 4*t - 2, -2*t = -5*u + 78. Suppose 0 = 19*f - u*f - 55. Solve -4*j + 6*j = v - 3, j = -2*v + f for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -5*j - 58. Let c be a(-11). Calculate the lowest common multiple of (-147)\/9*2*c\/2 and 126.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, 2\/5, -1\/15?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/((o**(3\/8)*o*o)\/o))\/(o**(1\/2)*o))**(1\/8) assuming o is positive.\nAnswer: o**(-15\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 162777 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 58681287 by -3.\nAnswer: -19560429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7270)\/4*(-324)\/90. Suppose -p = -21*g + 4398. What are the prime factors of g?\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 - 0) + (5 - -1). Let x be (20\/6)\/(-4 + 1). Let n = -7\/9 - x. Which is the biggest value? (a) n (b) 3\/2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 PM and 6:37 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + 3*l**2 - l + 5. Calculate d(3).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67 + 70 - 4165*u**2 - 274 + 70 + 67.\nAnswer: -4165*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 - w - 1. Let z(m) = -20*m**3 - 2*m - 2. Give 4*t(g) - 2*z(g).\nAnswer: 36*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 18899761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -87 - -36. Suppose 3*i + 0*i + 111 = 0. Let t = i - d. Solve 2*l - 5*u + u - 8 = 0, -5*l + 4*u = -t for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**3\/p**13)**(11\/3) assuming p is positive.\nAnswer: p**(-110\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 2 - 6 = 0. Is j > 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30 - 43. Let x = y - -28. Is 3 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 5. Let u(n) = -n + 1. Let c(y) = -q(y) + 5*u(y). Let m be c(-1). Suppose x = 2 + m. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2620.8 + 2621. What is the closest to 1 in 0.4, -3, i, -0.02?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8785633 is divided by 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 5. Let w be 1 - (q - -1) - -4. Suppose 0*y + w*y = 15. What is the remainder when 5 is divided by y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 18 and -2272.\nAnswer: -40896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 3 - -2) + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.4 + 4.1. Let p = 2.7 - m. Which is the third biggest value? (a) 0.4 (b) -5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.8431 - -260656890?\nAnswer: 260656945.8431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 465730?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 468\/(-104)*(-4)\/(-24)*-10*304\/57?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 865, 1695, 2525, 3355, 4185, 5015?\n\"Answer: 830*b + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 313\/11 at least as big as 27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 122 - 118. Factor -b*v**2 + 4*v + 23*v**2 - 9*v + 4*v**3.\nAnswer: v*(v + 5)*(4*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yx when two letters picked without replacement from {x: 10, y: 10}?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*9*2\/6. Suppose -2*b - n*b = 60. What are the prime factors of (b + 0)*9\/(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10.22 and -4?\nAnswer: 40.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1902, 3804, 5706, 7608?\nAnswer: 9510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 77124814 to the power of 1\/3, to the nearest integer?\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 130.82 - 1.82. Let b = -129.0053 + p. Round b to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*r + 116*r - 64*r.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 4*a + 48 - 19 = 0, -5*a - 17 = -z. Let u = -5 + z. Solve -u*d - n + 1 = -3*d, 0 = d + n - 9 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -828 - -2?\nAnswer: -826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*c*l**2*n + 5*c*l*n - 532*c - 55*l**2*n**2 + 2*l**2*n - 20*l**2 + 5*n**2 - 2 wrt l?\nAnswer: -4*c*n - 110*n**2 + 4*n - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((12 + 110 - 227)*(0 + 0 - g**2) - 1 + 2*g**2 + 1)*(0*g**2 + 2*g**2 + 0*g**2).\nAnswer: 214*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (184\/12)\/(738\/(-3321))\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -6.9 (b) 0 (c) 1\/2 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3060828 and 1944?\nAnswer: 972","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101101111010101000 (base 2) in base 5?\nAnswer: -103401331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19486249?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 + c + 2. Let z be g(-2). Let q(j) = -1 + j**3 + 2*j**3 + 6 - z*j - 5*j**2. Let k(f) = f**3 - f**2 - f + 1. Give -5*k(u) + q(u).\nAnswer: -2*u**3 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4a + -1?\nAnswer: -4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 86 - 125155?\nAnswer: -125069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 286 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of m**7\/1680 - m**6\/320 + m**5\/480 + m**4\/64 - m**3\/24 - 4*m**2. Factor d(v).\nAnswer: (v - 2)*(v - 1)**2*(v + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/402 and -63\/2278.\nAnswer: 6834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 148 + -143. Let q be ((-23)\/5 - -5) + 3\/i. Solve -5*s + 2*w + q = 0, 11 = s + 3*w - 7*w for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10551 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -0.4 (b) 734085 (c) -2 (d) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 95123051 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((12\/(-27))\/(-2))\/((-7)\/(-21)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6 - 799af0?\nAnswer: -799af6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 414 is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -22829 (base 12) in base 9?\nAnswer: -70226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 265 + 4?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 434 - -40343?\nAnswer: 41332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*v + 2*v + v)*(-2 + 0 + 4)*(0 - 2 + 0)*(1 + 4 - 2) as q + n*v and give n.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or -16?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/5 (b) 2 (c) 12 (d) -2351\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*g**4*s**2 + 488*g**3*s**2 - 1164*s**2 + s wrt g?\nAnswer: 8*g**3*s**2 + 1464*g**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -54265228*u**3 - 6088*u**2 - 59*u - 7 wrt u.\nAnswer: -325591368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32.25 - -26.4. Let f = 0.15 - b. Let t = f - 8. What is the biggest value in t, 5, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2363, -1, -2\/5, -10.442?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 179?\nAnswer: 89.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.3 + 1.7. Let w = 0.2 - p. Which is the second biggest value? (a) -1\/13 (b) 0.1 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -478*w**2 + 466*w + 12 = 0. Calculate w.\nAnswer: -6\/239, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*o + o + 69 = 0. Let t(l) = -l**3 + l - 1. Let q(p) = -4*p**3 - 2*p**2 - 3*p + 3. What is o*t(k) - q(k)?\nAnswer: 7*k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3\/21 - 1952*u**2\/21 - 476288*u\/21.\nAnswer: -2*u*(u + 488)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 23*z + 37. Let u(b) = 11*b + 18. Let t(w) = 2*f(w) - 5*u(w). Is 7 a factor of t(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 2*m - 110 = 0, 2*m - m = -4*g - 101. Let l = g - 12. Let n = l + 381\/10. Calculate the common denominator of -75\/8 and n.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 - 12*k + 2. Let f = -6 + 29. Let h = f - 10. What is the remainder when w(-5) is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -12 + -5 - (3 + -19)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - -133?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 975259?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-133) - (-4)\/14. Let j = m - 4\/133. Let c be 4\/(-3) - (-228)\/252. What is the smallest value in c, j, -0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3\/16 (b) -3\/7 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 351633 = 5*w - 91272. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 614941704 by -153735426.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2\/3 + 1\/6. What is the fourth biggest value in -1, 0.4, n, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = -4*p + 4, 6878 = 14*p + 3*s + 6864 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7055*p**2 + p - 7283*p**2 + 15259*p**2)*(2 - 2 + 2*p**2) to the form k + r*p**3 + j*p**2 + d*p**4 + b*p and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 - 7*u + 9. Suppose -4*l = -13 - 7. Suppose -2*x = -5*a - 2, 0 = l*x + a - 9 - 23. What is s(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -921*j - 4336. What are the prime factors of a(-27)?\nAnswer: 7, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7116 to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 51, 0, 225 in increasing order.\nAnswer: 0, 4, 51, 225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 84, 4, -4, 58 in descending order.\nAnswer: 84, 58, 4, 3, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 2*w - 88 = -4*r, 4*w + 8 = 0. Is 12 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 - 6*r + 6. Let v be o(4). Let t be (-6)\/(-27) + 32\/18. Suppose 15 = b + t*b. Put 4, b, v in ascending order.\nAnswer: v, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, -3579, -5 in decreasing order.\nAnswer: 1, -2, -5, -3579","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/2 (b) 3 (c) 9 (d) 4 (e) 1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -627 minus -6252637?\nAnswer: 6252010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -159913\/35 + 4569. Which is smaller: -180 or y?\nAnswer: -180","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 0*q + 10 = 0. Calculate the remainder when 8 is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 6 = -2*b, 4*b = -2*l + 7*l - 12. Let n(x) = 8*x**2 - 35*x + 53. Let a(k) = 17*k**2 - 70*k + 107. Let j(v) = b*a(v) + 7*n(v). Factor j(u).\nAnswer: 5*(u - 5)*(u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3097, -3260, -3499, -3790, -4109?\n\"Answer: 4*k**3 - 62*k**2 - 5*k - 3034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-10.56\nAnswer: -3.168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63098216?\nAnswer: 2, 139, 179, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31677317?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1584, 1567, 1558, 1563, 1588, 1639?\n\"Answer: f**3 - 2*f**2 - 18*f + 1603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 3\/11 (c) -0.08 (d) -1020\/41\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247050 is divided by 40879.\nAnswer: 1776","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 7*d, 4*j + 3*d - 1100 = 0. Suppose 260 = 5*o + 6*u - 4*u, -5*o + u = -j. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 26*f**2 + 2. Let z(r) = -7*r. Determine v(z(g)).\nAnswer: 1274*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0011162479248 to five dps.\nAnswer: 0.00112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31526.\nAnswer: 2, 11, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0818133 rounded to 2 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-6)*w*w\/(w\/(w**(-2\/25)\/w)))\/((w**(2\/11)\/w*w*w)\/(w\/(w*w**(1\/7)\/w)*w)))**48 assuming w is positive.\nAnswer: w**(-499392\/1925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*f + 1582 + 472. Is 6 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from maaaaaaammamaaaaaa. Give prob of sequence mmam.\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1041027?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = 4*b - 2*b. What is the remainder when b is divided by (-246)\/(-10) - 1\/((-5)\/2)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -291 from 284128388.\nAnswer: 284128679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of -17*j**3\/6 - 3*j**2\/2 - 4*j - 1. Let b(s) be the first derivative of i(s). What is the units digit of b(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/35945928 and -121\/23060.\nAnswer: 179729640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/241260 and 47\/64336.\nAnswer: 965040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 1 = -16. Suppose -c*t - 40 = -5*i - t, -3*i + 5*t + 5 = 0. Calculate the smallest common multiple of 7 and i.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 93 + 20*m**2 - 26*m - 51*m + 75 - 16*m - 42 - m**3 = 0?\nAnswer: 3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.51707 rounded to two decimal places?\nAnswer: -3.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.128 and 0.1.\nAnswer: 0.1128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(-2)*213\/426.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (g - 2*g + 2*g)*(2*g**2 - 5*g - 3 + 3) as p*g + q*g**2 + l + k*g**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 56736 by -20.\nAnswer: -14184\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*f, 0*i + 17 = i + 4*f. Let o be 1*9 - (-134 - -148). Which is the fourth smallest value? (a) -2 (b) i (c) o (d) 18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-3))**(-2\/31))**39 assuming y is positive.\nAnswer: y**(234\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32609825 is divided by 7292?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3376521043 to the power of 1\/2, to the nearest integer?\nAnswer: 58108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (197208\/(-82170))\/((-57)\/105 + (-1)\/(-2))?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 46*j**3 + 8*j**2 + j - 23. Let m be y(2). Sort m, -2, 5, 4 in descending order.\nAnswer: m, 5, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 122 + -272?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 - 124*g**2 + 2400*g - 70. Give a(17).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 + 4*g - 7. Let t(z) = -1 + 4 - 2 + 0. Suppose -5*b = q - 18 + 1, 3*b - 6 = -2*q. Let h(m) = b*t(m) + s(m). Calculate h(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = -3*c + 6, 2*c = 5*x - 11 + 3 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 8*v**3 + 2*v**2 + v. Let z be k(-1). Suppose 3*i + 2*i = -60. Let t = i - z. Does -3 = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2244*b = -1124*b + 2492*b + 148092 for b.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -11211 (base 5) to base 7\nAnswer: -2231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 552*b - 548*b. Put 3, -8, 1, b in increasing order.\nAnswer: -8, b, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 7122352*j. Let d(g) = 7*g**2. What is d(a(y))?\nAnswer: 355095286083328*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-735)\/980*1\/((-150)\/16). Let l(f) be the first derivative of c*f**5 - 2*f + 6 + 8\/15*f**3 + 6\/5*f**2 - 3\/5*f**4. Let l(t) = 0. What is t?\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17685 less than or equal to 17684?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)\/((sqrt(80) + sqrt(80)*2)\/sqrt(10) + sqrt(8)))**2.\nAnswer: 13\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-51) + 423\/17. What is the highest common divisor of 125 and m?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -170632597, -170632599, -170632601, -170632603?\nAnswer: -170632605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 37 + 487?\nAnswer: 4be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -10, 4*s - 1429 = 5*b + 3188. Let d be (-1)\/((8\/6)\/(-4)). Suppose d*l - s = 859. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (287 + 89 + 32)*(0*j - 3*j + 4*j)*(5 + 22 - 5).\nAnswer: 8976*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, -45, 0, -5\/663, -2, -4?\nAnswer: -5\/663","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 968614237 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -78 (c) -0.1 (d) -2 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 5*a + 2440, -2*x - 2*a + a = -4891. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -3*o**3 + 16*o**2 + 39*o - 32. Let p be z(7). Sort -1\/3, p, -1\/25, -0.3, -1 in increasing order.\nAnswer: p, -1, -1\/3, -0.3, -1\/25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -105*((-220)\/12 - 3). Suppose -11*b = -7*b + y. Round b to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(2\/25)*d**(-3\/11)*d\/(d\/(((d\/d**(-22))\/d)\/d))*d*d**(6\/7) assuming d is positive.\nAnswer: d**(43629\/1925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 821 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: What are the prime factors of 1815633555?\nAnswer: 3, 5, 121042237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-3))\/((-20)\/8)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 156 by 12.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.07 + 0.24. Let z = 0.13 + t. Put -0.2, z, 0.4 in increasing order.\nAnswer: -0.2, z, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163713467 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1748\/7 + 6\/21. Suppose 56 = 6*p - 4. Suppose -5*d + p*d = 125. What is the greatest common divisor of d and u?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4246056.\nAnswer: 2, 3, 17, 3469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -4, 3\/7, -2\/421, 4, 10\/7 in decreasing order.\nAnswer: 4, 10\/7, 0.5, 3\/7, -2\/421, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2\/4 - 124353*s\/2 - 10201989\/4.\nAnswer: 3*(s - 82943)*(s + 41)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7379\/32970 + 2\/(-35). What is the nearest to -3\/7 in -1\/2, d, -0.16?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2431 + 2922.5. Let f = y - 4.9. Round f to the nearest 10.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 - -27. Let b be 12\/(-4) - (2 - 7). Suppose -36 = b*w - 48. Solve 5*t - p = w for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*l**2*n**2 - 8*l**2*n - 660*l**2 + 87*l*n**2 - l*n wrt n?\nAnswer: -6*l**2 + 174*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 105939 to the power of 1\/2, to the nearest integer?\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 394527 is divided by 15780.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1228*t = -7494 - 47766 for t.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4153 = -590*m + 5617 + 6796 for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46 + -2 - (50 - (58 + (-45 - -36))).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -9*p - 43. Let q be b(-5). Suppose -7 = -n - q*d + 1, -2*n - d + 13 = 0. Suppose n*i + 980 = 16*i. Does 14 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1030, 1059, 1128, 1261, 1482?\n\"Answer: 4*u**3 - 4*u**2 + 13*u + 1017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5743 - -5744.3. Put -4, 2\/9, 1, -3\/8, w in descending order.\nAnswer: w, 1, 2\/9, -3\/8, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 + 8*v**2 + 6*v - 3. Let w be q(-7). Solve -k = -3*k + w for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9832 divided by 5\nAnswer: 9832\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*n**2 + 6048*n - 156401?\nAnswer: 8*n + 6048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l**5\/2 - 182979*l**4 + 11160438003*l**3\/2 + 8783184*l**2 - 267873936840*l + 714268041408 = 0. Calculate l.\nAnswer: -8, 4, 60993","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.3 from -10355537865.\nAnswer: -10355537864.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/5, 0.4, 425?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -1, 20, 5 in descending order.\nAnswer: 20, 12, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*d - 3469 + 3474 + 18*d)*(0 - 11 + 2) to k + l*d and give k.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a day in seconds?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28401 - 28401 + 2*l + 0*l + 4*l + 13*l.\nAnswer: 19*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 30*s + 7. Suppose 0 + 2 = -b + 2*f, 0 = 2*b + f + 9. Let q be l(b). What is q rounded to the nearest ten?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-3 + -3)*(-6 + 6). Suppose -2*l - 3*l + 20 = k, 2*r - 5*l = 114. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, s: 9, z: 5}. Give prob of sequence zos.\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/41 and -17\/29.\nAnswer: 1189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (7 + 2 - 0).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8*-5*(-233 + 229). Solve -7*w + j = 132 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - v + 2882, 5*v - 174 = -4*r + 2119. Let n = r + -555. What is the greatest common factor of n and 462?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of -1966*c**7\/21 - 3317*c**3\/3 + 123*c. What is the second derivative of z(l) wrt l?\nAnswer: -78640*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/1)\/(12\/(-4))*-5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 156 divide 121368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 6 = 5*m, 0 = -4*c - c + 5*m. Let i = -1 + 3. Solve y - i*y + c = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbb when three letters picked without replacement from nnblnbbnnnlbnnqbq.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-five quarters of a litre?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*b - 46*b + 15*b.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of 29*b**2 + 0 - 65\/6*b**3 + 71*b. Find the first derivative of k(o) wrt o.\nAnswer: -65","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c + 12 + 10 - 14.\nAnswer: 2*c + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 - 17 = -3*c. Let o = 16 + c. Suppose -o*b = -b. What is the nearest to b in 1, 3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.64 + -1.14. Let m = -3.99 + -0.01. Let s = -0.37 + 0.07. Sort s, -2, m, c in descending order.\nAnswer: s, c, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17988389 to the power of 1\/3, to the nearest integer?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.0692968 rounded to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {u: 5, m: 4, z: 1}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31 + -31. Let c(t) = 4*t + 1. Let g be c(p). Suppose 3*u = 2*u - 2*m, 3*u = 4*m - 20. Put u, 22, 0, g in increasing order.\nAnswer: u, 0, g, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrr when three letters picked without replacement from xxruxruxxrrrxxx?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + 62*j**2 + 139*j - 628. Calculate y(64).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 2 g, and 1 o when four letters picked without replacement from gwgowwgww?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -11, -1, -734 in ascending order.\nAnswer: -734, -18, -11, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 9, j: 7}. What is prob of picking 2 r and 2 j?\nAnswer: 27\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 1 + 44 = 0. Suppose -v*p = -2*p - 9359. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -11, -10, 1, 31, 0.2, 15?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 25 = 272*k - 277*k, 0 = -2*p for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -328*l + 329*l = -3*m + 15242, -3 = 3*l. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5211*l**3 - 167*l**2 - 5*l + 5?\nAnswer: 31266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 3 (b) -2\/5 (c) 1\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, 2\/5, -0.3, -14, 2\/323?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 10:38 AM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 6*z**3 - 3*z**3.\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-6))\/(-1*3\/12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1909?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wpc when three letters picked without replacement from {j: 2, c: 1, p: 1, v: 1, o: 3, w: 4}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(4\/5))**(3\/7)\/(w**(-37)\/w**(-2)) assuming w is positive.\nAnswer: w**(1237\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/2*(8\/6)\/(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-15) - 51\/(-15). Suppose -300 = -s*d - 2*d. What is the highest common factor of d and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fifty-one halves of a millennium?\nAnswer: 2550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = 3*f + 1 - 4, 5*a = 10 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yrrtrrrryyyrylrrrsyr. Give prob of sequence rl.\nAnswer: 11\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 100285\/36 - 2783. Calculate the common denominator of u and (-146)\/100 - (-2)\/8.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -526140*u**4 + 2172565*u**2?\nAnswer: -12627360*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 + 27*r - 56. Let q be i(-29). Suppose 3*x = q*s - 17, -2*x - 2*x - 12 = 0. Which is the closest to s? (a) 1 (b) -0.3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 4*d = -10, 4*d = 4*b + d + 7. Let k = b + -1. Let u = 36 - 110\/3. What is the closest to k in 1, -3\/7, u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, m: 6}. What is prob of picking 2 a?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v = -9*v + 4. Suppose 0 = -3*c - 6, v*l - 7*l = -2*c - 54. Suppose -31*z = -34*z + 45. Calculate the remainder when z is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 - (8 + 2 + (-9 - -5))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 50 = -l. Let y(n) = -n**2. Let q(m) = -4*m**2 + 2*m. Let f(s) = l*y(s) - 2*q(s). Factor f(k).\nAnswer: -2*k*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*x**2 - 14*x**2 + 10*x**2 + 19*x**2.\nAnswer: 25*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + 6*r**2 - 65*r - 122. Let p be l(-9). Solve -6 = -p*o + 214*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -20, 1126\/3, 2\/5, 4\/319?\nAnswer: 4\/319","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13757?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-6)*81\/(-6). Let t be (-93)\/f + 2\/6. Calculate the common denominator of -35\/4 and (-51)\/(-6)*t\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 2:16 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 40 = -3*i, 0 = -5*i + 53*h - 51*h + 63. Let b be 15 + 3\/(6\/(-4)). What is the greatest common divisor of b and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34+-169\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -766.44 and -2090.\nAnswer: 1601859.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 9*d - 21 = 0, 0 = 1431*p - 1436*p - 2*d + 9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 t when three letters picked without replacement from {q: 2, t: 2, v: 3, b: 2, r: 4, j: 3}.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/21*-8*9\/(-12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 77140 and 203406?\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*i = -0*i + 3*i. Let f(l) be the third derivative of i*l + 1\/600*l**6 - 1\/120*l**4 + 7*l**2 + 0 - 1\/1050*l**7 + 0*l**3 + 1\/300*l**5. Factor f(n).\nAnswer: -n*(n - 1)**2*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(-52)\/(-8)*-1*16\/(-20).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**3 - 2601492*a**2 - 563948832972*a + 13536270492192.\nAnswer: -3*(a - 24)*(a + 433594)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2 - 190*n - 3312.\nAnswer: -2*(n + 23)*(n + 72)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, k: 3, j: 3}. What is prob of sequence ffk?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -23191913.8 to the nearest one million.\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, m: 2, e: 1, o: 1, u: 2}. What is prob of picking 1 e and 1 q?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -10*o + 71. Suppose -o*x + 560 = x. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -116 + 12 - 2*w - 95 + 22 in the form o*w + n and give n.\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*d = 29*d + 71236. Does 33 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 70, 348, 818, 1486, 2358, 3440?\nAnswer: 4738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 54*n + 472. Let r be m(-9). Let d(p) be the third derivative of -p**6\/120 - 13*p**5\/60 + 7*p**4\/24 + 2*p**3\/3 - 2*p**2. Is 34 a factor of d(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19636, -22517, -25398, -28279?\nAnswer: -31160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -145*p**3 + 5*p**2 - 6*p + 5. Let h(z) = -147*z**3 + 6*z**2 - 7*z + 6. Calculate -5*h(c) + 6*s(c).\nAnswer: -135*c**3 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 + 10*b**2 - 32*b - 76. Let c be n(-12). Solve -5*d = -o + c, -d - 3*d - 2 = 2*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 582 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 6:11 AM?\nAnswer: 12:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3295\/18 - -183. Let u = -66\/65 - -473\/1170. Let n = u + l. Which is smaller: n or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(110) - (sqrt(110) - sqrt(110)*2))*1)\/(5*4*sqrt(10))*1.\nAnswer: -5 + sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u**4 + u**2. Let t(q) = -18*q**4 - 8*q**3 + 151*q**2 - 352*q + 256. Let o(c) = 7*g(c) - t(c). Find w such that o(w) = 0.\nAnswer: -8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 3*z - 28 - 14 = 0, -3*a + 3*z - 30 = 0. Let o be (3 - 4)\/(a\/8 - -1). Let f(x) = -2*x**o - 74*x + 74*x. Let s(n) = 26*n**2. What is s(f(v))?\nAnswer: 104*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 5 = -2*p, 14*p + 237 = -2*y + 287 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, -0.4, 2\/111, 4\/5, 6\/5, 0?\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of -r**3\/2 - r**2\/2 + 11*r - 9. Let l(u) be the first derivative of m(u). Differentiate l(q) wrt q.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22127 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2011250 and 3343502?\nAnswer: 3218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.058 - -4.858. Let g = f - 5. What is the smallest value in -4\/5, 3\/8, g?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -93.25 times 0.98\nAnswer: -91.385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1885679*l**3*n**2 - 20*l**2*n**2 - l**2*n + 15*l**2 - 226*n wrt l?\nAnswer: 11314074*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, -130\/7, -5, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -25*x + 41. Determine p(1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -3*m**2. Let g(w) = -22770050*w**2. Calculate g(y(a)).\nAnswer: -204930450*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 568 - 568 + 14374*b**2 - 1310*b**2 + (-1 + 1 + b)*(1 + 2*b - 1) + 2 - 2 + 2*b**2.\nAnswer: 13068*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7796159 and 323343.\nAnswer: 70165431","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(792)*1 - sqrt(22))\/sqrt(2) - (6*sqrt(176) + 2))**2.\nAnswer: 76*sqrt(11) + 3978","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 (base 16) in base 11?\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 563397 is divided by 51214?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 31*a + 72. Let i be l(4). Let b = 208 + i. Is 10 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -367802, -367808, -367814, -367820, -367826?\n\"Answer: -6*s - 367796","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b**2 + 4*b**2 - b**3 - 1 + 14*b - 5*b. Let l = -132 + 156. What is the remainder when l is divided by f(7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 600 = -2*g - 316. What is g rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -3*t - 11. Let n = 13 + t. Find the third derivative of -5*u**2 + 0*u**6 + n*u**2 - u**2 - 2*u**6 wrt u.\nAnswer: -240*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.9 + 0.1. Put 1\/3, 0, l in increasing order.\nAnswer: 0, 1\/3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03 + -35828960.13.\nAnswer: -35828960.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: d6 (base 15) to base 4\nAnswer: 3021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -66*i**2 - 28*i - 34. Let c(q) = -2*q**2 - q. Let n(p) = -6*c(p) - s(p). Let l(w) = 7*w**2 + 3*w + 3. Determine 68*l(g) - 6*n(g).\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-498978)\/(-133))\/(-9) - (-2)\/(-14). Is q equal to -3339\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1303?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/99, -0.1, 0.04, -0.0118, -3, 4?\nAnswer: -2\/99","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 3*q + 4. Let v(b) = -10*b - 13. Let w(o) = 7*c(o) + 2*v(o). Suppose 7 = 4*f - 3*f. Let h be w(f). Solve -2*n + 19 = 5*u, 5*u = 4*n + h - 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 8*x**5 + 166*x**4\/7 - 514*x**3\/7 + 286*x**2\/7 + 26*x\/7 - 20\/7 = 0.\nAnswer: -5, -1\/4, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 190 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21.34 + -3.45. Let q = -24.7899995852 - r. Round q to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - 54*f**2 + 651*f - 804. What is n(37)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 4*f = -60, -24 = -5*f - 9. Let x(l) = 15*l - o*l + 2 - 8*l - 12*l + 1. Let w(q) = 2*q**2. Calculate w(x(k)).\nAnswer: 1682*k**2 - 348*k + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 6) to base 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 489?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1080*y + 6 + 7 - 13.\nAnswer: 1080*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-1 + -6) - -10 - (-4 + 10).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - ((3 - -2) + -5)) + -8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z + 2. Let l be i(-1). Suppose 0 = 2*c - 0*m + l*m + 12, -2*c - 5*m - 4 = 0. Let r = c + 21. What is the lowest common multiple of r and 11?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14401471 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1368 divided by 18\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**8\/c)\/c)\/c*c\/((c\/(c*c**(-1\/9)))\/c))\/(c*c\/c**1)**(-32) assuming c is positive.\nAnswer: c**(350\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1563506 to the power of 1\/3, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57752?\nAnswer: 2, 7219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2 + (-33)\/15)\/(1\/(-15))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 2 t, and 1 h when four letters picked without replacement from kktpkphpapkhtaskk?\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-228454)\/15526 + 15\/21 + -1?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 7*v = 3*v - 23, 0 = 2*h - 2*v - 10 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61561666 is divided by 22?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - -1) + (-9 - 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 561098.\nAnswer: 2244392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27371*p + 31363*p - 383232 = 0 for p.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dp when two letters picked without replacement from {v: 1, r: 1, k: 1, p: 2, d: 2, m: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -99.88866 to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/9 - 8*f\/3 - 26\/9.\nAnswer: 2*(f - 13)*(f + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of -o**4\/6 - o**2 - 37. Let i(n) = 0*n**2 - 7*n + 7*n + 6*n**2. Give i(r(f)).\nAnswer: 96*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -90 + 89. Let j be 1\/(s\/(-1)) - 4\/2. Let g be 78\/52*j\/(-9). Put 0.1, 1, -0.3, g in decreasing order.\nAnswer: 1, g, 0.1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-10))\/((-18)\/(-60))*(-15 - 6)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**3 - o**3 + 2*o**3)*(-618 - 582 + o + 1162).\nAnswer: o**4 - 38*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 - -0.0717277812263?\nAnswer: -0.2282722187737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 360422.5 decades in millennia?\nAnswer: 3604.225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*w - 101*w - 230*w - 294*w.\nAnswer: -707*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1704 in 102, -14, 1\/9?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 j when two letters picked without replacement from {n: 3, j: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 11. Suppose v + s*v = -4. Which is greater: 1 or v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 1:43 AM?\nAnswer: 3:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1944228 is divided by 648074?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1496433051 - -2.\nAnswer: -1496433049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 3*j + 0*j)*(-30*j - 47 + 47)*(-1 + 0 + 2) + (1 + 2 - 4)*(10*j**2 - 4*j**2 - 3*j**2).\nAnswer: -63*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -25150, 38, -0.5, 0.8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - ((16 - 26) + -3).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -56\/1581579 and 71\/261.\nAnswer: 45865791","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6169*k - 7272*k + 17 - 3603*k - 2127*k.\nAnswer: -19171*k + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 25272.9714 rounded to the nearest integer?\nAnswer: 25273","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 179 - 16*o + 63*o**2 - 11*o**2 - 16*o + 31*o to t*o**2 + x*o + y and give t.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 827\/1931306?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 + 3*w + 7. Suppose -2*x + 4 = -8. What is d(x)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + 3*h**2 + h - 2. Let p(i) = i**3 + 19*i**2 - i - 21. Let u be p(-19). Calculate f(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 4*q - 33 + 4796, 3*q = -4*j + 6346. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2*o = -r + 8, -5*r - 19 = 3*o. Let y be r\/(-3) + (-65)\/(-15). Solve y*q = -7 + 22 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 + 7. Suppose -7 = -3*i + 11. Suppose i*k = 14*k - 152. Are k and h nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3276592 and 256.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -4885\/46 and -107 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert a1 (base 13) to base 6.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 5*r - 947 = 0, 2*t - 629 = 5*r - 6*r. Calculate the remainder when t is divided by 43.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of -218*w**3\/3 + 336. Let j(o) = -2*o**2. What is j(a(q))?\nAnswer: -95048*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71 + (-12 - (-66 - -82)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 b, and 1 y when three letters picked without replacement from {b: 1, u: 4, i: 1, x: 9, y: 2}.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, -2\/13, -7\/8, 2 in ascending order.\nAnswer: -7\/8, -2\/13, 2, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 66 and 251544?\nAnswer: 2766984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23758, -51826, -79894, -107962?\nAnswer: -136030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iix when three letters picked without replacement from ixixxwwiwxw.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vaavihahhavvviliaalv. Give prob of picking 2 i and 1 l.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 182206410?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*h**2 - 8*h**2 + 17*h**2 + 531195.\nAnswer: h**2 + 531195","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*g + 126 = -233 - 36 - 265 for g.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 116 - 233. Let k = -165 - q. Let d = -39 - k. Calculate the remainder when 69 is divided by d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 1152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*l**4 - 684*l**3 + 553*l**2 + 2715659*l + 1 wrt l?\nAnswer: -24*l**2 - 4104*l + 1106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cli when three letters picked without replacement from {a: 2, r: 2, l: 1, i: 3, c: 3, t: 1}.\nAnswer: 3\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 1\/6, -2\/7, -23?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 1 + -3 + 2 + -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*n + 10 = 20*n. Suppose n*c - 3*c - 2*c = 0. Solve c + 8 = 4*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 222*w = -186*w + 121*w + 7462 for w.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130469 is divided by 32617?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2.1 * -4278094\nAnswer: -8983997.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -85*p + 89*p - 36. Calculate the least common multiple of p and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + g - 15 + 27, 2*q = -5*g - 12. Let u(x) be the second derivative of -5\/12*x**3 + 18*x - 3\/40*x**5 + 0 - 3\/4*x**2 + 11\/24*x**q. Factor u(i).\nAnswer: -(i - 3)*(i - 1)*(3*i + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eighteen fifths of a century?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 51196757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 13\/4 - (-3)\/(-1). Let l = 59 - 61. Which is the second biggest value? (a) g (b) 5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -364 + 364.000504. Round b to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 74\/3*i**2 - 38\/3*i - 34\/3*i**3 + 0 - 2\/3*i**4.\nAnswer: -2*i*(i - 1)**2*(i + 19)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 b when four letters picked without replacement from nqnbbqqnnbnqq?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*s = 9 + 24 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*n**2 - 12*n**2 - 5 + 22*n**2 + 8*n**2.\nAnswer: 2*n**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 5*k = 3094 - 3159, k = -2*u - 17 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -24*o. Let g be k(-2). Let v be (-3 - (-1062)\/8)\/((-6)\/(-56)). Suppose v = 17*j - 421. What is the greatest common divisor of j and g?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8916661?\nAnswer: 13, 631, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 10652529756 + -11.939\nAnswer: 10652529744.061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 3*q = 7*q - 6 + 78, -33*b - 72*b + q = -1786 for b.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 77*k + 55. Does 22 divide q(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 4 = 12. Let s(u) = 11*u - 9. Is s(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 + 10*n + 4. Calculate a(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.077 - 40.923. Let a = r - -57. Which is bigger: a or -1\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 90*(169\/((-143650)\/(-68)))\/((1\/(-5))\/1)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 813 + -12193\/15. Which is smaller: q or -0.062?\nAnswer: -0.062","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2a37 - -20702?\nAnswer: 23639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 87162407 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -4*b**2 + 33*b + 18. Give f(15).\nAnswer: -387","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 910*a**2 + 8*a**2 + 3029*a - 3029*a.\nAnswer: 918*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*j - 214 = -14*j + 55 - 3519 for j.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 35234 + 5?\nAnswer: 35242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -62 + 66. Let i(r) be the second derivative of 0 - 5\/3*r**3 + 1\/10*r**5 - 1\/2*r**o + 1\/15*r**6 - 4*r - 2*r**2. Factor i(b).\nAnswer: 2*(b - 2)*(b + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.02 - 0.52. Let q = 0.8 + g. Suppose 78 + 2 = 20*w. Which is the second biggest value? (a) 6 (b) q (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 9:17 PM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 433604626?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/12 and 11002\/(-936) + 876\/73?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.964 + 1.864. Let g = -41 - -41. Let d be (-4)\/2 + 14\/8. What is the closest to -2\/5 in g, t, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*m - 15 = -9*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/5, 4, 176, -3?\nAnswer: 176","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(4\/5)*z)\/z)\/(z**(2\/9)\/z))\/(z**1)**(30\/13) assuming z is positive.\nAnswer: z**(158\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39 and 273.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 1053900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(325)*-6 + -5)*-6.\nAnswer: 30 + 1080*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*b - 16 = -77*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000011 + 1111001001010101101?\nAnswer: 1111001001101110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 455 and 0.7513?\nAnswer: 341.8415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*-5 + 13 + (14 + -15)*11. What is the nearest to w in -0.2, 4, -0.5, 44?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-70)\/(-5) + (-2 - -6). Let t = -11 + l. Suppose -4*h - h + 50 = 3*d, 4*h = -4*d + 48. What is the highest common factor of t and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*c**3 + 10*c**3 + 11*c**3.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/12 - 81\/(-4). Let z(v) = -v**2 - 7*v + 8. Let t be z(-7). Factor 3 + r*k - 11 - 4 - t*k**2.\nAnswer: -4*(k - 1)*(2*k - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of 835*t**4 + 15*t**2\/2 - 22*t - 5595. Find the second derivative of a(q) wrt q.\nAnswer: 20040*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 18 = 3*s, 2*s + 2*v + 2 = -0. Let o = -3 - -2. Let d = s - o. Is 4 >= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 3*m. Suppose -14 = 5*q - 19. Let v be r(q). Let x(o) = -o**3 + 2*o**2 - 2*o + 2. What is x(v)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 34\/16 - 4\/32. Solve -y + 15 = x*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 482 + 483 - 965 - 8*m in the form d + y*m and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1575, 6295, 14161, 25173?\n\"Answer: 1573*x**2 + x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10502 is divided by 40?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a + 34. Let j(s) = -s**2. Calculate y(j(o)).\nAnswer: -o**2 + 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (10\/6)\/(32\/96)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(44)*-3 + -1 + 0 - (-5 + sqrt(33)\/(4*(sqrt(3) + sqrt(48))))))**2.\nAnswer: -847*sqrt(11)\/10 + 180651\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 280 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u - u + 2*u. Let c(t) = -3*t**2 - 3*t - 3. Let k(f) = 3*f**2 + 4*f + 4. Let n(b) = -4*c(b) - 3*k(b). Calculate y(n(d)).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.507 and 0.04.\nAnswer: 0.10028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do -582 and -584 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1864164.\nAnswer: 2, 3, 59, 2633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 16493*o - 247420. What is s(15)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/(-6)*9\/(-56) and -79\/12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*r - 12 = -28*r + 2*x, x + 13 = 4*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v. Let p(b) = -4*b - 3. Let g(n) = 4*d(n) - p(n). Let a(l) = 3*l - 2 - l + 2 - 1. What is 5*a(y) + 2*g(y)?\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 44 + 1213 - 1*-7. What is the greatest common factor of v and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 + 33*m**2 - 27 + 51.\nAnswer: 33*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 3*k - 4 = 0, -5*n + 2*k + 8 = -k. Let t = -4\/11261 + 11269\/22522. What is the second biggest value in t, n, 0.2, -1\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8245 and 635545?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 116328 and 897?\nAnswer: 34782072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 367599 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1992348851 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0566, 2\/13, -3, -5.\nAnswer: -5, -3, 0.0566, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.0393 - -3.9963062. Let n = x - -0.043. What is n rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -k**4*q + 171*k**4 - 3*k**3 + k**2*q + 15*k*q + 20*q + 3 wrt k.\nAnswer: -24*k*q + 4104*k - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 168289, -0.3, -7\/5, -4\/5, -3\/7, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, v: 2, a: 1}. What is prob of sequence vv?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 2*j**2 - j + 3. Let z(t) = -t**2 - 2 + 2*t**2 + 0*t**2. Let g be z(2). Suppose -g*p - 3 = -9. Determine o(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2939, 2944, 2949, 2954, 2959?\nAnswer: 2964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23662973 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -332, -364, -456, -638, -940, -1392, -2024, -2866?\n\"Answer: -5*y**3 + 3*y - 330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(420)\/(sqrt(12)*1))\/sqrt(405).\nAnswer: sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -40 + -57a09?\nAnswer: -57a49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 52*m**3 + 209*m. Let i(f) = 51*f**3 + 207*f. Let w(r) = 4*h(r) - 3*i(r). Find the second derivative of w(s) wrt s.\nAnswer: 330*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*a**3*l + 130*a**3*r - a**3 - 365243*a**2 + 2*a*l - 12360*a*r + 7*l*r - 5*l with respect to r.\nAnswer: 130*a**3 - 12360*a + 7*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 PM and 6:41 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, p: 1, m: 1, x: 1, r: 1}. What is prob of sequence smp?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -477*a*x**4 + a*x**2 - 2*a*x + 5*a + 97*x**6 - 137*x**2 wrt x?\nAnswer: -11448*a*x + 11640*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 24 - 5 = -4*s, 4*t + 52 = 5*s. Calculate the highest common factor of s and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1340.\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14692, -118001, -398518, -944881, -1845728?\nAnswer: -3189697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -12, 37*q = 2*l + 39*q - 202. Calculate the remainder when l is divided by 77.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -236703 - -35?\nAnswer: -236646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8808434981 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 938 divided by 116435.\nAnswer: 938\/116435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-158 + 163)\/((-5)\/(5\/(-2)))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-7))\/((r\/r**(2\/11))\/r))**(2\/21)*((r**7*r)\/r*r*r**(-3\/11))\/(r**2)**(21\/4) assuming r is positive.\nAnswer: r**(-307\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.13265023 and 5.\nAnswer: 5.13265023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*r**2 - 44*r + 44*r)*(2*r + 1 - 1) + 0*r**3 + 0*r**3 + 4*r**3.\nAnswer: -16*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.029 + 0.449. Let l = -2.12 + c. Let r = 1.70000072 + l. What is r rounded to 7 decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4888197 and 765.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 141*i + 145*i - 291*i - 20 + 9*i - 6*i - 11*i + (i - i - i)*(3 - 1 - 4) as h*i + a and give h.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/124 and -85\/352.\nAnswer: 10912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0290157 rounded to 4 dps?\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 117453.3 months in years?\nAnswer: 9787.775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 31\/5 of a tonne?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 825.9609 hours in milliseconds?\nAnswer: 2973459240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 5 - 4)*(4*o**2 - 4*o**2 - o**2) + 165*o**2 - 16 - 2*o + 16 as s*o + k + m*o**2 and give m.\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -39090 divided by 1\nAnswer: -39090","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(114)\/sqrt(2))\/sqrt(3) + ((sqrt(475) - (sqrt(475) + 1))*2 + sqrt(475))**2.\nAnswer: -25*sqrt(19) + 479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 7. List the prime factors of (g - 8)*(-5)\/3.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -73, 57, -1\/9, 2, -22 in ascending order.\nAnswer: -73, -22, -1\/9, 2, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 17, k: 2}. What is prob of sequence kk?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 248\/(-32) - 50\/40?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, w: 2, l: 3, h: 1, a: 1}. What is prob of sequence le?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 6:38 PM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 374129603 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -4*j - 11. What is r(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3459778 and 10566.\nAnswer: 31138002","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -3 (b) -2 (c) -0.1 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1725 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/35*-4)\/(((-96)\/(-15))\/16)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 g, and 2 k when four letters picked without replacement from {d: 3, g: 4, k: 4}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-4144)*(-568)\/(-213).\nAnswer: 2\/259","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + -5 + (-3)\/(-2). Are v and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4\/1107 - 6947\/17712. Find the common denominator of r and -99\/8.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 22641883 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -372, -748, -1126, -1506, -1888, -2272, -2658?\n\"Answer: -m**2 - 373*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170768 is divided by 477?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2701*g + 294432 - 86455 for g.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cdzd. What is prob of sequence cd?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*f**2 - 200 + 200 + (0*f + 0*f - 2*f)*(3*f - 3*f - 2*f) + 0*f + 2*f**2 + 0*f in the form t + x*f + u*f**2 and give u.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 7 = 5*o, 3*q - q - 4*o - 8 = 0. Is 5 a factor of (6\/(-4))\/(q\/(-104))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by ((-880)\/(-26))\/1 + 204\/1326?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12 and 5.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -318, -623, -916, -1191, -1442, -1663, -1848?\n\"Answer: g**3 - 312*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 175 equal to 1216\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 1:37 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1870231071.7 and 56.\nAnswer: 1870231127.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-20 + 20 + 12*p)*(60*p**3 + 24*p**3 - 17*p**3) to a*p**2 + l*p + b*p**3 + o*p**4 + f and give o.\nAnswer: 804","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 PM and 11:49 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -878 = -16*i - 798. Solve -3*c = k - 16, i*k + 6 + 14 = 5*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 26*(3 - -2)\/5. Suppose -b = z - 751, 0 = 5*b + 8 + 7. Calculate the highest common divisor of z and m.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12208818?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.77 at least as big as 435?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2 and -34942?\nAnswer: 34940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 118106 - 118058.0042. Let f = x + -48. What is f rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3*(-6)\/9 - -4. Let a(d) = 3*d + 5*d**2 - d**2 + l*d**2 - 12 + 0. Is a(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -5. Suppose j*y - 4*w - 687 = w, -5*w = 2*y - 321. What is y rounded to the nearest 10?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -82192 - -129101. Let r = n - 46934.011. Let v = -25 - r. What is v rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -168 - -1029561472.\nAnswer: 1029561304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 50661*f - 50597*f + 1152 for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32 and 95636?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/33 and -65\/1755144?\nAnswer: 19306584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -59?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 3*r - 496 - 27 = 0, 309 = 3*o - 3*r. Suppose 0 = 5*z + 4*x - 1046, z = 2*x + o + 108. Is 14 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -x**2\/3 + 4522988*x\/3 - 3015324 = 0.\nAnswer: 2, 4522986","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 349380?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.17 - 7.17. Let g = -3 - i. Which is the closest to -0.1? (a) 0.5 (b) 3\/2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t. Suppose 5*r + u = 21, 2*u - 5 - 2 = -3*r. Give q(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/12 + (3\/9)\/1.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -2 - (121 + -134)) + (-8 - 2) + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1327482?\nAnswer: 2, 3, 13, 31, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23548, -47120, -70688, -94252, -117812?\nAnswer: -141368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 3, -1, 940, -4, -2, -20 in descending order.\nAnswer: 940, 3, -1, -2, -4, -14, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180 - 200 = 5*h. Which is the closest to 3? (a) 2\/17 (b) h (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -62, 1001 in ascending order.\nAnswer: -62, -2, 1001","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(2\/2)*4. Let r(w) = -w**2 - 4*w. Let m be r(o). Are 0 and m non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2250.894 litres to millilitres.\nAnswer: 2250894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(252) - (sqrt(252) + 0))*3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 105*p + 16. Let o be b(-4). Let y = o - -668. Suppose 21*u - 15*u = y. Is 44 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60335 and 385.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 - 5*c**2 + 4. Let a be b(-5). Sort a, 5, -1.\nAnswer: -1, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(22)\/sqrt(2)*3 - -5*sqrt(22)\/sqrt(2))**2 + (sqrt(297)\/(sqrt(9) + sqrt(18)\/sqrt(2)) + sqrt(33))\/(sqrt(243)\/sqrt(9)).\nAnswer: sqrt(11)\/2 + 702","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sjda when four letters picked without replacement from {a: 8, j: 8, d: 1, s: 1}?\nAnswer: 2\/2295","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 20195410733 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 9 + 1. Suppose 3165 = q*a + 1130. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -16*d - 36. Determine f(-12).\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -10*a. Put -2, -5, 4, a in ascending order.\nAnswer: -5, -2, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/(-9) - 0)*-12. Suppose l = 4*w, 3*z = -w + 2*w + 10. Suppose 4*f - 55 = 3*q, 25 = 4*f - q + z*q. What is the highest common factor of 80 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 452*g - 2*g**2 + 453*g - 905*g.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 12 = -2*z, -3*c + 199 = -z. Let k = -25 + c. Let m be (1\/2)\/(2\/k). Solve -4*a - m = a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -216 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**3 - x**3 + x**4)*(-2 - 2*x + 2) - x**5 + x**5 + 3*x**5 + ((1 - 1 + x)*(0 + 0 + 2) - 2*x + 0*x + 3*x)*(12*x**4 + 26*x**4 - x**4).\nAnswer: 112*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4\/2 + 87*l**3 + 529*l**2\/2 + 177*l.\nAnswer: -l*(l - 177)*(l + 1)*(l + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 81511 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 115546 or 115551?\nAnswer: 115551","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -706 (base 10) to base 9\nAnswer: -864","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = -5*s - 2*q + 464, -3*s - 4*q + 272 = 0. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 51\/2 of a meter?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = -3*o + 4*u, -4228*o = -4225*o + 3*u - 3 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does -274 = -274?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-168 - 28 - 123)*(-3 - 4 + 6)*(4*v - 3*v - 3*v).\nAnswer: -638*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 93 - 93.5. Which is the nearest to -2\/11? (a) -1\/3 (b) -1 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**2 + 13*w + 10. What is k(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 PM and 12:59 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38750638 to the nearest integer?\nAnswer: 6225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (30\/(-160))\/((-24)\/(-32))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from oooononnnonno?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21\/55 - 2\/11. Let t = -33 + 30. What is the nearest to -0.1 in f, 5, t?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 74 (b) -3 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 82*(-2)\/(-120) - 366\/244?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-5)*14)\/((-5)\/(-25))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-11)\/22 + 85\/(-2). Let u = -23 - v. Suppose -3*b = 5 - 65. Calculate the lowest common multiple of u and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 592 and 128?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 11 = u - 39, -50 = -u + 4*x. Suppose -2*z + 4*v + u = 0, 3*z - 45 - 14 = 2*v. What is the remainder when 65 is divided by z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/9 less than or equal to 1.882164?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/9 and -91\/4455.\nAnswer: 4455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 - 21*q**2 + 17*q - 42. What is d(-22)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14285 divided by 7.\nAnswer: 14285\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xca when three letters picked without replacement from dzxac.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 8391 = 9*d - 4706. What is the hundreds digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 5, -2, -50 in increasing order.\nAnswer: -50, -2, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/5, -0.08, 1, 5\/24, -0.3 in decreasing order.\nAnswer: 1, 5\/24, -0.08, -0.3, -6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.289 + -0.423. Let u = x - -0.264. Which is the closest to -0.2? (a) 2\/3 (b) u (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -157\/84 and -73\/36.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1008) - (sqrt(1008) + sqrt(1008) + 0 + sqrt(1008))) + sqrt(14)\/sqrt(2)*2)*4)**2*2.\nAnswer: 108416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-7)\/(-42)*0)\/(0 - 1). Suppose 0 = -i*f - 2*f - 0*f. Which is smaller: 13 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, q: 4, l: 2}. What is prob of picking 3 q?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75929?\nAnswer: 7, 10847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 3:43 PM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 0 - 3*b + 16*b - 7*b**2 + 2. Suppose 5*q + 180 = 35*q. Let d(c) = -6*c**2 + 12*c + 1. Let f(n) = q*d(n) - 5*j(n). Determine f(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2650243?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b**3 - 2*b**2 - 2*b - 2. Let j be u(-2). Let g = 408 - 406. Suppose -4*d + g*x = -7*d - 12, 2*d + j = -2*x. Is d at least as big as -11\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*o - 27*o - 10 + 7*o - 4*o - 55*o.\nAnswer: -91*o - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5 + -3 - -7)\/(-1). Let u be 12\/n*1*3\/(-26). Let v be 2*(-1)\/5*10. What is the third biggest value in 0.4, 3, u, v?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 m when two letters picked without replacement from {f: 1, m: 1, t: 1, q: 1, p: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = -u - 15 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 - s**2 + 1. Let x be i(-1). Find the common denominator of 49\/10 and (13\/42)\/(x\/(-27)).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 + 7*y**2 - 3*y + 17. Let j be x(7). Let s(t) = 4*t - 9. Let a(b) = 3*b - 8. Determine j*s(h) + 5*a(h).\nAnswer: -h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 17 + 3272627?\nAnswer: 3272646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from afjffjajjjjfjfafjf. Give prob of sequence aj.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of -f**8\/2240 - f**7\/210 + f**6\/240 + f**5\/10 - 3*f**4\/4 - 38*f. Let q(b) be the third derivative of m(b). Factor q(x).\nAnswer: -3*(x - 1)*(x + 1)*(x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -134*j - 144 wrt j.\nAnswer: -134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188*x + 12146 = -418*x - 2491 + 2517 for x.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 84, -2, -69, -1, -5 in ascending order.\nAnswer: -69, -5, -2, -1, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 43 + 29. Let o(n) = n**2 - 2*n + 10. Let z be o(7). Let m = l + z. Solve -3*j = -3*b + m, -4*j + 2*b = 5*b for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 320354.\nAnswer: 2, 31, 5167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l - 7. Let i be z(7). Calculate the common denominator of (244\/(-10))\/(i - 4) and -119\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 342, 340, 338?\n\"Answer: -2*x + 344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 47 + -36274?\nAnswer: -36225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tthfhhfth. Give prob of picking 2 t and 1 f.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*v - 16 = 31*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 11\/(-13) - 1911\/9126\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 1601990\nAnswer: 1\/800995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3 + j**3 - 24 + 221*j**2 - 239*j**2 - 5*j**3 - 36*j.\nAnswer: -3*(j + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-26) + (10 - -2)\/((-208)\/(-72)). What is the highest common divisor of 71 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 23062254 + -10?\nAnswer: 23062244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 6:26 PM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 2) to base 11\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6762522.\nAnswer: 2, 3, 13, 181, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -292 + 538. List the prime factors of j.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -218996*u + 6784. Let i(t) = -646*t + 20. Give -1696*i(o) + 5*m(o).\nAnswer: 636*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-three tenths of a litre?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnennnee. What is prob of sequence eenn?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1854443159 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -4 - d**3 + 0*d**2 + 7 - 6*d + 7*d**2. Let h be i(6). Solve v + 2 = -h for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1389*g - 1385*g + 4*r - 28 = 0, -17*g - r - 35 = -23*g - 0*r for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -3*p**3 - 2*p**2 - 2*p - 3. Let j = 6 - 8. Suppose -2*o = 3*c - 151, -3*c = -3*o - 121 - 20. Calculate the remainder when c is divided by m(j).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + (-16 - -20 - (-35 + 15)) - (-45 - 2).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 21 + -10?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from btott.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 PM and 4:27 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2053613446.\nAnswer: 2, 6113, 167971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9526025?\nAnswer: 5, 23, 16567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 8) in base 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55873610?\nAnswer: 2, 5, 13, 429797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - 5*o**2 - 2*o - 5. Let s be j(-5). Suppose 8 + 7 = s*z. Suppose 36 = -z*u + 96. Is 10 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b - 1. Let t(d) = -9*d + 7. Give 21*j(f) + 3*t(f).\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -850 bigger than -847?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -883\/10 - -449\/5. Sort r, -98\/3, -4 in descending order.\nAnswer: r, -4, -98\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -68060 - -1129. Let c = h - -1001222\/15. Let k = 560\/3 + c. What is the common denominator of k and -7\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*b - 1867 - 1867 + 3734.\nAnswer: 11*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -2*d + 40, 3*d - 6*d + 67 = a. Is 23 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + m = 0. Solve m - 3 = l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68766730 to the power of 1\/4, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2082 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 11. Suppose c*q - 28 = q. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**(-2\/9)*d\/((d\/d**18*d)\/d*d) assuming d is positive.\nAnswer: d**(160\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 = -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of (-1 - -1)\/4 + 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -35*(-18)\/30 - (2 - -5). Solve -i*t = 7*t - 42 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 308999 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) 28 (c) 0.1 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 78051 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45357683 to the nearest integer?\nAnswer: 6735","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2079*s**2 - s - 7*s + 9*s.\nAnswer: -2079*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-10) + (2232\/(-30))\/(-4). Let b be (1 - j\/14)\/(2\/(-28)). Suppose -b*t - 131 + 391 = 0. Is t a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 53.5591\nAnswer: 21.42364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38504803?\nAnswer: 38504803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.5 - 0.5. Let n = 0.05 + a. Let m = -0.45 - n. Sort m, -2\/11, 3\/7 in descending order.\nAnswer: 3\/7, -2\/11, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of -769*y**6\/120 - 359*y**5\/60 - 555*y**2. Find the third derivative of v(i) wrt i.\nAnswer: -4614","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 - -3520\nAnswer: 3519.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -442, 1, 0.56, -0.34 in ascending order.\nAnswer: -442, -5, -0.34, 0.56, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 1 + 31 = 0. Let u = 9 + y. Let q = u + 92. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 727, 1479, 2231, 2983?\nAnswer: 3735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 2\/125 of a kilometer?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 1786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -81*l**3 + 11090*l**2 + 943*l + 2202. What is q(137)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1525604736 and 3968?\nAnswer: 3968","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 30765064 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*j**3 - 2*j**3 + 5*j**3 + (677 - 67*j - 677)*(10*j**2 - 2*j**2 - j**2).\nAnswer: -471*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-57)\/3 - (-9 - 238\/(-28))*4?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 2, 76, 2\/9, -4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jcjwwcwjzzvjwcjjwcqc. What is prob of sequence qc?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3308?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 divided by -914458?\nAnswer: 14\/457229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-9))\/((-5)\/(-60))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((4 - (24 - 19)) + -7 - 2) + (1 - 42)\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/3 - 2434*v\/3 - 2432\/3.\nAnswer: -2*(v + 1)*(v + 1216)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -10, -4*t = 4*f - 2*t + 4. Suppose -4*z + 9*k - 10*k - 4519 = f, -z = -k + 1131. Is -4 - (-4 + z\/5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24966491 + -5093520511\/204. Let d = 5237\/3 + x. What is the common denominator of -31\/6 and d?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3919436 and 95596.\nAnswer: 3919436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*f + 69 - 99. Let h(n) be the first derivative of -1\/4*n**4 + 3\/2*n**2 - 9 + 2\/3*n**f - 4*n. Give h(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*t - 25 + 25. Let x(i) = -i - 2. Let o be x(2). Let v be -38*(-1 + 3)\/o. Solve -2*y - 3*j + 13 = t, -5*j + 2 = 4*y - v for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188 is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 813*h = 815*h + 5*n + 46, -h + n = -12. Determine x so that -24*x**h + 123\/2*x**4 - 75\/2 + 159*x**3 - 165*x + 6*x**5 = 0.\nAnswer: -5, -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 75*t - 6*t**2 + 75*t - 17 + 0*t**2.\nAnswer: -6*t**2 - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9262.\nAnswer: 2, 11, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + 4*u**2 - 5*u + 5. Let w be i(-5). Suppose 2*f - w*f - 63 = -3*d, 5*d = -f + 135. What is the greatest common divisor of 13 and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 276 is divided by 189.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*j**2 + 9 - 9 + (3 + 2 - 3)*(j**2 - j**2 + j**2) - 14*j**2 - 161 + 161 to the form w + z*j**2 + b*j and give z.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2\/189, -3\/4, 0.1 in descending order.\nAnswer: 0.1, -2\/189, -3\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((4356\/(-5))\/(-11))\/((-6)\/(-75))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 10, q: 4, l: 2, e: 1}. What is prob of picking 3 p?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1874166 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1807\/9 + 201. Let f be (19 - 25) + 88\/(-42)*-3. What is the third smallest value in k, f, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/3))**(3\/29)*v**(-5\/2)*v**(-7) assuming v is positive.\nAnswer: v**(-549\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 5*c, -3*c + 12 = -i + 4 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 1)*(-4*a - 13*a**3 + 3*a**3 + 1 - 4*a**3).\nAnswer: 28*a**3 + 8*a - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**11\/(l*l**2))\/((l\/l**(-3\/2))\/l)**18 assuming l is positive.\nAnswer: l**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r*r**(-2\/5)*r)**(-2\/63))**(1\/10))**(-36))**(2\/11) assuming r is positive.\nAnswer: r**(64\/1925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2*h + 2 = 0. Let v(k) = k + 2 - 3 - 2*k. Let c(s) = -2 - 3 + 4. Calculate h*v(w) + 3*c(w).\nAnswer: 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 258 + 3417. List the prime factors of u.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 - 1031?\nAnswer: -1041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 2*q + 12 = -12, 3*q - 6 = p. Let y be (-20)\/p - 5\/15. Let x(l) = -l + 1. Let z be x(-2). Solve 0*w - y = -a - w, 0 = -z*a + 4*w + 16 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -73 + 131. Let q be -37 - ((-4)\/2 + 0). Let b = y + q. Solve n - b = -3*n - s, -3*n + 4*s = -3 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 AM and 10:58 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -4*j - j. Let l = j + -3. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 4*c**3 + c**2 + 2*c. Let s(h) = -5*h**2 - 155238 - 11*h - 21*h**3 + 155238. Let j(l) = -2*l**2 - 10*l - 6. Let o be j(-4). What is o*s(y) + 11*t(y)?\nAnswer: 2*y**3 + y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 8 + 1. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + p = 4, -3*p + 7 = 4*n. Sort -2\/19, n, -3 in ascending order.\nAnswer: -3, -2\/19, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -10, -22, -34, -46?\n\"Answer: -12*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -88, -90, -92, -94?\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54, 60, 66, 72, 78?\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w. Let v(o) be the second derivative of 1273*o**3\/6 - o**2 - 3*o + 43. Determine v(u(i)).\nAnswer: 2546*i - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from cjjjcjcwwwjwj?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*2*sqrt(117)*3 - (sqrt(117) - ((-2*sqrt(117) - sqrt(117)) + 0) - (-1 + sqrt(117) + 0))**2)*4.\nAnswer: -4216 - 504*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 - r + 1. Give p(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 + 46. What are the prime factors of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -4*sqrt(1331) + sqrt(1331) + sqrt(1331))**2.\nAnswer: 44*sqrt(11) + 5325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00015419563 rounded to 6 dps?\nAnswer: -0.000154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 - z - 1. Let s(n) = -14*n + 26. Let o(k) = -2*k + 3. Let j(v) = 40*o(v) - 5*s(v). Calculate -10*f(h) + j(h).\nAnswer: 10*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 681*-4801.9.\nAnswer: -3270093.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -2\/15, -2656, 8, 4, 2?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqqq when four letters picked without replacement from {n: 2, m: 3, q: 13}.\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**2\/((o*o*o\/(o\/(o\/(o**(-4)*o))))\/o)*(o\/(o*o**(1\/2)))**(-2\/77)*((o*o**(1\/3))\/o)**(2\/3)\/(o**(-6\/7)\/(o**(1\/8)\/o)) assuming o is positive.\nAnswer: o**(-15427\/5544)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -72, -166, -300, -474, -688?\nAnswer: -942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-4))\/((-21)\/350)*(-160)\/(-200)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -25, -53, -81, -109, -137, -165?\n\"Answer: -28*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 4*t - 5 + 5. Let m(o) be the first derivative of 1\/3*o**3 + 2 + 0*o + 0*o**2. Determine w(m(u)).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 804, 1417, 2042, 2679?\n\"Answer: 6*t**2 + 595*t + 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2249 - 2246) + (-23)\/7.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 + 15*p - 9. Let q(t) = t + 4. Let x be q(11). Let h be n(x). Does -8 = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 17*y**3 + 13*y**2 + 311*y. Let d(k) = -48*k**3 - 36*k**2 - 933*k. Give -6*d(v) - 17*g(v).\nAnswer: -v**3 - 5*v**2 + 311*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppphmhmkmphpmhpyk. Give prob of picking 2 h and 1 y.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 66089 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z\/(z\/z**(-4\/3)))\/z*z)\/(z\/(z*z**0)))\/(z*z\/(z**(-5)\/z)*z\/(z**(-3)\/z)))**(-2\/35) assuming z is positive.\nAnswer: z**(86\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-42)*((-10)\/(-35) - 495\/(-154)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 403030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of -965*q**3\/3 + 791*q**2 - 2003. What is the second derivative of f(r) wrt r?\nAnswer: -1930","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 941960 - 942049.0278. Let x = n - -89. Round x to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**5 + 7*b**4 + 18*b**3 + 20*b**2 + 8*b = 0. What is b?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 151 = 5*d, -d = 2*f + 2*f - 528. What is the third derivative of 81*c**5 - 79*c**5 - 52*c**3 + f*c**2 + 5*c**3 wrt c?\nAnswer: 120*c**2 - 282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = -68*w + 1204 for w.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33 - -4) + 2 - (12 - 12 - -3).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10110010011001 (base 2) to base 4.\nAnswer: 2302121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 482674*q + 160 = 482634*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 122099 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2\/25849 - -76505\/13467329. Let v = k - 27619\/1042. What is the common denominator of v and 99\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1622 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31846166 is divided by 6264.\nAnswer: 6254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 8*o - 1380, -26*o + 21*o + 837 = -3*g. What is the remainder when o is divided by 22\/(-55) + (-354)\/(-10)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 2*t - 200, -5*t - 7*y = -2*y - 530. Suppose -2*d - 35 = -5*x + 89, t = 5*x + 5*d. Suppose 19*m - 23*m = -x. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9 + (35\/(-10))\/(3\/6). Solve -3*n - 14 = -4*q, -5*q + w*n + 2 = 6*n for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12*(-30)\/(-135)*7200\/(-768).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 205 = 5*f, -3*f = 2*f + 3*c + 197. Find the common denominator of (-7)\/(-10*4\/56) and ((-44)\/6)\/(f\/110).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = t + 44 + 5, 2*t + 93 = 5*n. Let q = t - -91. Does 15 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = k - 3. Suppose -m + k*m = 9. Suppose a + g - 688 = 0, -3*a = -g + m*g - 2061. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*((-34 - -1) + -2). Find the common denominator of (-2702)\/j - 2\/5 and 301\/(-6) - 6\/(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -54*l**2. Let u(y) = y**2. Calculate u(v(c)).\nAnswer: 2916*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2a27 - 0?\nAnswer: 2a27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1679961293.4851893 - -1679961361. Let j = 12.414843 - s. Let p = -55.1 - j. What is p rounded to 6 dps?\nAnswer: -0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 414028 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + 396*a**2 + 1012*a - 86099. What is y(398)?\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of 0 - a + 0*a**2 + 1\/3*a**3. Let f(c) = 4*c**2. Give f(i(m)).\nAnswer: 16*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -852.304177 + -0.035823. What is b rounded to the nearest ten?\nAnswer: -850","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - -21?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3334, -6667, -10000?\nAnswer: -13333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b - 6. Let d(x) = 4*x - 3794 + 1857 + 1949. Calculate 2*d(g) + 5*m(g).\nAnswer: -2*g - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 + 9. Suppose -7*a = -2*a - o. Calculate the least common multiple of a and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 52*k + 1. Suppose -2349 = -5*r + 951. Let q = 678 - r. What is the remainder when i(2) is divided by q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 130 and 13?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**2 - 3 + 3 + 0*y**2 + 4*y**2 - 3*y**2 + (0*y - 3*y + 2*y)*(-y + 2*y + y))*(-23*y**2 - 3*y + 11*y**2 + 2*y).\nAnswer: 36*y**4 + 3*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f - 18. Suppose 0 = -a - 2*n - 27, 2*n + 0*n = 5*a + 75. Calculate the least common multiple of w(a) and 4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3, 15, -1\/92, 1\/4, -0.037?\nAnswer: -0.037","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 250 - 229. Calculate the common denominator of 14955\/1260 + (-6)\/y and 29\/160.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of (-1)\/(-3 + 2) + 10*8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2546 is divided by 181.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 142580?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6048*d = 6050*d - 158. What is the remainder when 946 is divided by d?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 318483 (base 10) to base 7\nAnswer: 2464344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 + 10*i**2 - 15*i + 16. Is m(-11) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -36*q**3 - 15*q - 15. Let z(c) = 5*c**3 + 2*c + 2. Determine -2*d(v) - 15*z(v).\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and (((-384)\/40)\/(-8))\/(2\/5).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 69\/62 + -259\/372. Let d = 3 + -3. Is o equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65086.\nAnswer: 2, 7, 4649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by -103\nAnswer: 13\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tme when three letters picked without replacement from {a: 2, d: 2, t: 4, m: 1, p: 1, e: 2}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 8 (b) 11.4643 (c) -1\/7 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12 + -2*(-6)\/(-4). Let k = 1 + u. Factor -6*c**4 + 7*c + 3*c - k*c**2 - 5*c - 3*c + 14*c**3.\nAnswer: -2*c*(c - 1)**2*(3*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -4*z - 15, -d - 25 = -6*d - 2*z. Sort 0, -5, 4, d in decreasing order.\nAnswer: d, 4, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -906 - -950. Let o be (-3)\/(-2)*(-4)\/6. Let k = b - o. What are the prime factors of k?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 7. Let m be (25\/(-10))\/(w\/(-8)). Let d(x) = -x**3 + 11*x**2 - 6*x - 13. Is 9 a factor of d(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 51\/4 + 12\/(-16). Suppose j - 7 = -4*g + 15, -4*j - u = -4*g. Solve -7 - 1 = -j*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(17) + ((1*sqrt(119) - sqrt(119)) + sqrt(119))\/sqrt(7))**2 + (sqrt(68) + sqrt(17))*5).\nAnswer: 30*sqrt(17) + 136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + -405663?\nAnswer: -405662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.5 + -0.5. Let u(y) = y - 6. Let o be u(8). Which is the closest to o? (a) 0.5 (b) 2\/9 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3871\/660 - -17\/33. Find the common denominator of -3\/880 and w.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29243546 divided by -8341\nAnswer: 3506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -53*-423\nAnswer: 22419","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -79 - -75.1. Let n = z - -4. Which is the nearest to n? (a) 1\/3 (b) 6\/5 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -5*g + 30. Let y(d) = -10*d + 56. What is 13*m(a) - 6*y(a)?\nAnswer: -5*a + 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/10 - 2) + 0\/6.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 61*u**2 + 48*u - 601. What is v(-60)?\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/30 and 46\/45.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - p = 401, -101 = -q + 2*q + p. Let h = -47 - q. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c - 5*i = -3*c + 20, 4*i = 5*c - 16. Let l = 76 + -73. Solve -l = -v - c for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 10 = -2*w, 3*w - m - 2 = 2*w. Suppose -w*b - l - l + 13 = 0, 0 = -3*b + 2*l + 17. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -12*v**2 + 12*v + 204. Calculate i(6).\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 AM and 8:39 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3*n + 337 = 2*n, 4*v - n - 707 = 0. Suppose 0 = b - 19 - v. Let g be ((-2)\/3)\/((-26)\/b). Solve g*l + 2 = -8 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13719552 divided by 59136\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(7\/2))**(6\/7)*q*q**(-2\/23)*q\/q**(1\/9) assuming q is positive.\nAnswer: q**(8200\/1449)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -662933 to the nearest 10000.\nAnswer: -660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 PM and 1:03 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -27259 divided by -7362\nAnswer: 27259\/7362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -b1 (base 12) in base 4?\nAnswer: -2011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*r**4 + 5*r**2 - 2*r**3 + 4*r**3 + 19*r**4 + (-6*r + 6*r + 6*r**3)*(-r - r + 3*r).\nAnswer: 8*r**4 + 2*r**3 + 5*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5 + -3 + (1 - -1). Sort -1, z, -6 in ascending order.\nAnswer: -6, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -26.3 (b) 8 (c) -7 (d) -1\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5*(-3 - 39\/(-15)). Suppose 0 = -0*z + 4*z. Suppose 6 + z = a*g. Is g a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 904 = r. Let k = r + -321. Suppose 4*s = -3*i - 0*s + k, 3*i - 139 = -2*s. What is the remainder when i is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f**4 + 365*f**3 - 2390*f**2 - 35360*f - 81120 = 0.\nAnswer: -78, -4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13148*l = -26263*l + 13136*l - 1050 for l.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 70221*a*k**2 + 2*a*k - 18*a + 15*k - 2 wrt k?\nAnswer: 140442*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106 is divided by 44?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 - 11*d. Let p be (22\/8)\/(((-20)\/16)\/5). Let g be r(p). Suppose g*z - 15 = -z. Solve -5*b + 4*w - 27 = 0, -2*w = -7*w + z for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) + -5*sqrt(152)*-1)\/(sqrt(288)*-2))**2.\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*d**4 - 43788*d**3 - 131388*d**2 - 131396*d - 43800 = 0. Calculate d.\nAnswer: -1, 10950","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 1 = 4, 15 = 4*z + n. Suppose 0 = z*w - 1221 + 226. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s**2 - 10*s + 25. Give q(5).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f**4 - 10480*f**3 + 631720*f**2 - 2401280*f + 2359440 = 0. Calculate f.\nAnswer: 2, 58, 2034","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 32\/(-14) - 2\/(-7). Let v = -3 - -6. Suppose 3*h = -0 - v. Is h less than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22167263 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 92531 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -37, -25, -9, 11, 35, 63?\n\"Answer: 2*o**2 + 6*o - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 + 15*h + 15. Let l be g(-12). Calculate the remainder when 9 is divided by (2 + -8)*14\/l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11007054?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -6. Let s(x) = -x + 1. Let q(m) = -14*s(m) + 2*y(m). Suppose 5*n + 9 = 2*g, -4*n = -3*g + n + 21. What is the smallest common multiple of g and q(2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -l**4 + 63*l**3*t - l**2*t + 15*l*t + 32*t wrt l?\nAnswer: -24*l + 378*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -345*a - 344*a = 3*o - 2777, -10 = -2*o + a for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h - 2. Let r be w(-1). Let y be 153\/45 + r\/10. What is the highest common factor of 21 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 3*o - 5*w, 6*o - o - 3*w = 26 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**18*v**(-1\/5)\/v assuming v is positive.\nAnswer: v**(84\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) 5 (b) 1 (c) -0.8 (d) -2\/5 (e) -12548\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*h - 4*h**2 - 17*h**5 + 4*h + 4*h**2 wrt h.\nAnswer: -340*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 0*g + 20 = 0. Find the second derivative of -2*x**4 + g*x + 0*x + 0*x**4 wrt x.\nAnswer: -24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 81, 567, 1883, 4443, 8661, 14951, 23727?\nAnswer: 35403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/((-4)\/(-3)) - -56. Let r = b - -117. What is the greatest common divisor of r and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1859 + 37283\/20. Find the common denominator of f and 113\/14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*x**2 - 302*x + 2 + 302*x.\nAnswer: 13*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, s: 9}. What is prob of picking 2 s?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 126\/33 - ((-4)\/(-1) - 0).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3203685104 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 38*c**2 - 15*c + 13. What are the prime factors of r(3)?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45045324 (base 7) in base 13?\nAnswer: -a644ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhwhhwhhwwhhhhwhh. Give prob of picking 2 h.\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 251833\/55 - 4579. Which is smaller: u or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1646683 is divided by 569?\nAnswer: 566","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + w + 14 = u, -4*w + u = -40. Let d(s) = -w + s**2 + 5*s + 3*s - 4*s. Let t be d(-7). Solve -b = 2*b + t for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.04 (b) -25 (c) 1 (d) 5 (e) 138\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 39*j. Let n(l) = l**2 - 85*l. Calculate n(q(r)).\nAnswer: 1521*r**2 - 3315*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) -3266634 (b) -5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-22)\/(-4)*(9 + -7). Let w(h) = -8*h**2 + 29*h + 5. Let k be (-13)\/3 - 3\/(-9). Let f(z) = -3*z**2 + 10*z + 2. Let p(d) = k*w(d) + m*f(d). Give p(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1023)\/30)\/11 - 368\/(-230).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 8*h**2 + 7*h - 13. Suppose -6360*m + 5*g + 26 = -6361*m, -m - g = 10. Let p(b) = 9*b**2 + 8*b - 13. Determine m*p(k) + 7*w(k).\nAnswer: 2*k**2 + k - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-3)*81\/(-45).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 172, 374, 586, 814, 1064, 1342, 1654?\nAnswer: 2006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3983 times -5\nAnswer: -19915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 336024, 336020, 336016?\nAnswer: 336012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -331, -359, -365, -349, -311, -251, -169?\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 2*r = 24, a + 3*r = -r - 12. Let o = 3 + -9. Let h be (-20)\/(-15)*o\/a. Calculate the highest common factor of 2 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5118583*c**2 - 183*c + 183*c + 5118720*c**2.\nAnswer: 137*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 113 + -110. What is u in -1\/3*u**2 - m - 2*u = 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111*n - 2394*n**2 - 56*n - 55*n.\nAnswer: -2394*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, -28, 2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 20.5, -2\/15, 1 in decreasing order.\nAnswer: 20.5, 1, -2\/15, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((4488\/(-153))\/(-88))\/(2\/8). Determine k so that k**3 + 0 - 8\/3*k - 10\/3*k**2 - 1\/3*k**5 + z*k**4 = 0.\nAnswer: -1, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/55, -5, -0.011, 0.3 in descending order.\nAnswer: 0.3, -0.011, -2\/55, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 3*j**2 + 8*j + 3. Suppose -36 = 2*p + 4*p. Is 13 a factor of i(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -282 or -299934\/1067?\nAnswer: -282","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3704017 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*o - 36*o = -3*q + 13, 0 = 4*q + 4*o - 4 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = i + 4. Let t = 0 - 3. Which is the smallest value? (a) t (b) 2\/7 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + 183?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 229*i - 4662*i - 1305*i + 9*i**2.\nAnswer: 9*i**2 - 5738*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*n + 2*n + 19*n)*(n**4 - n**4 + n**4 + (-2*n + 2*n - 2*n)*(-3*n**3 - 2*n**3 + 7*n**3) - 3*n**4 - 3*n**4 + 4*n**4).\nAnswer: -205*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 652956 - 652252. Let z(i) = -i**3 + 3*i**2 + 3*i - 1. Let b be z(-3). What is the highest common divisor of b and k?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(b\/(b*(b\/(b\/(b*b*b**(-2\/7))))\/b)))\/b)**(-43)*b**(2\/3)\/(((b*b**(-11))\/b)\/b) assuming b is positive.\nAnswer: b**(-1282\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s - 6. Let b be d(10). Let g = b + -1. Is g a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-1 + (-1 + sqrt(288) - sqrt(288)) + 4 - (sqrt(288) + 0 + sqrt(288) + 3)*2) + 3)**2.\nAnswer: 96*sqrt(2) + 4613","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + -301130?\nAnswer: -301123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8508803 - -2?\nAnswer: 8508805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 214 - 212. Solve 16\/3*j**4 - 3*j**5 + 0 - 2\/3*j**m + 0*j - 5\/3*j**3 = 0.\nAnswer: -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17057653 is divided by 2448?\nAnswer: 2437","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 3 q when four letters picked without replacement from qqoqqqqqqoqoqqqqqqoq.\nAnswer: 448\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 4 - (2 - 9) - 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67990?\nAnswer: 2, 5, 13, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 17282, 34724, 52166?\n\"Answer: 17442*j - 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/5)*f)\/f**(1\/3)*(f**(2\/3))**(-42)*(((f*f\/(f**(-2\/11)\/f))\/f)\/((f\/f**(3\/2)*f)\/f))**30 assuming f is positive.\nAnswer: f**(8699\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -32*l - 127. Let c be h(-4). Sort 3, -1, -8, c.\nAnswer: -8, -1, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 2\/566471887?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*a**3 - a**3 - 21*a**3)*(-2*a - 3*a - 16*a) + 2*a - 11*a**4 - 8*a + 13*a**4 to the form n*a**3 + m*a**2 + u*a + w + h*a**4 and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 24520.6469643 and 3.\nAnswer: 24523.6469643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 - 6*q**2 + 8*q. Suppose 16 = 4*v, d + 3*v = v + 1. Let k be w(d). Let h(b) = b**2 + 7*b + 5. What is the remainder when 14 is divided by h(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (14*k + 10*k - 75*k)*((6 - 3 - 1)*(3 + 2 - 4) + (1 + 1 + 0)*(34 - 13 - 127)) as y*k + r and give y.\nAnswer: 10710","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(102) - sqrt(102))\/sqrt(3))\/(4*(sqrt(50) + sqrt(2))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/14)\/((-39)\/728*20).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 2) in base 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + -6 - -5) + (15 - (33 + -25))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5 + (-4)\/8 + (-1)\/(-2). Let r be 10\/4 + 2*m\/20. Let v(l) = 28*l - 28*l**r - 28*l. Let i(f) = -f**2. Determine i(v(b)).\nAnswer: -784*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3404 at least 3403?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + ((0 - 5) + -2 - -13).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 7*u + 156. Let j be b(-6). Solve 111*w - 3 = j*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -4, 4, -0.3, 0.04, -5, 2\/609?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 39*p**5*r - 9*p**4*r + p**4 + 3*p**2*r + 13*p**2 - 4*p*r - 2*r wrt p.\nAnswer: 2340*p**2*r - 216*p*r + 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (3 - -2) - 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, s: 1, o: 10, g: 2, x: 1, e: 3}. What is prob of sequence ggo?\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2900 = -134*j + 1576 - 724 for j.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l**5 + 0*l**5 + l**5 + (39517 - 39517 - 5493*l**2)*(3*l**3 + 2*l**3 - 6*l**3) + (4*l + 0*l - 2*l)*(-2*l**4 + 1 - 1).\nAnswer: 5487*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 60\/11, -4\/7, 0.1, 4, -4 in descending order.\nAnswer: 60\/11, 4, 0.1, -4\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 19530079237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1726 (base 14) to base 13\nAnswer: 1b73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 4 + 2)*(7*h**2 + 3*h**3 - 7*h**2) - 27 + 22*h**3 - 2*h + 27 to the form i*h + v*h**3 + n*h**2 + c and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/16 and ((-498)\/(-180))\/(24\/30).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -39, -54, -65, -72?\n\"Answer: 2*x**2 - 21*x - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 - 0. Let f = 7.712 + -7.4. Let w = f + -0.345. Which is smaller: w or o?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28 + 27. Let c = -3 + o. Let f = 12 + c. Calculate the lowest common multiple of 8 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190 is divided by 48?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 11274.4?\nAnswer: -3382.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7)\/(210\/36)*90\/27. Let o(i) = -i**2 - 2*i + 21. Give o(q).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -170*c*h*s**3 + 5*c*h*s**2 - c*h*s + 2*c*s**3 - 2*c*s**2 - 2*h*s wrt s?\nAnswer: -1020*c*h + 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12477428 and 6588?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -80, -155, -228, -299, -368, -435, -500?\n\"Answer: c**2 - 78*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8.5 - -8.8. Sort p, -2, 2.8.\nAnswer: -2, p, 2.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of -21*p**5\/10 - 48*p**4 + 2001*p**3\/2 + 4107*p**2\/2 + 924*p - 2554. Suppose n(u) = 0. Calculate u.\nAnswer: -28, -1, -2\/7, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, 5231, -3\/4, 3, -4, -3 in descending order.\nAnswer: 5231, 4, 3, 2, -3\/4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/4 (b) 4 (c) -12.32 (d) -2 (e) -0.21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q + 1. Suppose -8*f + 4*f = -4. Let c(r) = -7*r + 3. Let s(x) = 4*x - 4*x + 6*x + 0*x - 3. Let v(p) = 4*c(p) + 5*s(p). What is f*v(h) + 3*w(h)?\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-1) - (1 + 1). Let u(r) be the first derivative of 3*r**4\/4 - r**2\/2 - 2*r - 229. Let h(m) = 13*m**3 + m**2 - 4*m - 9. Calculate c*h(o) - 9*u(o).\nAnswer: -o**3 + 2*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c**3 - 10*c**2 - 372*c - 968. What is v(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48, 102, 158, 216, 276, 338?\nAnswer: 402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/6)\/r)**(-50)\/(r**(-2\/11)\/(r\/(r\/(r*r*r**(-16))))) assuming r is positive.\nAnswer: r**(919\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 5, 5*w - 5*p - 1543 - 14622 = 0. What is the remainder when w is divided by 98?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 494 divide 2227879070?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -v + 2*j - 8, 0 = -4*v - 4*j + 60. Find the third derivative of -13*x**4 - v*x**3 + 19*x**2 - 10*x**3 + 23*x**3 wrt x.\nAnswer: -312*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34 by -1.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 807?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i**2 - 146*i - 15. Give f(73).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/95390190 and -91\/6150.\nAnswer: 476950950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9677717 is divided by 244.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w - 5. Give z(15).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 146 = 2*l, -3*l - 5 - 4 = 0. Let v(b) = 2*b**2 - r*b**2 + 19*b**2 + 5*b**2. Let k(y) be the second derivative of 7*y**3 - y. Give k(v(f)).\nAnswer: -84*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29.35443 litres?\nAnswer: 29354.43","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*i - 11*i - 152479*i**2 - 359791*i**2 + 5*i.\nAnswer: -512270*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 5*h + 13. Let m = -349461\/52 + 6720. Let k = m + 2\/13. Is k at most h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7676? (a) 38 (b) 2\/9 (c) -16.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 183869?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 2 i, and 1 y when four letters picked without replacement from xxyxxxxxiyxxxi?\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 3*x = -12 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 12:38 PM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 311032121 (base 5) to base 13\nAnswer: 355090","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (115\/10 - (-1 - -5))*684\/(-2850).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -1 - (4 - 7 - 3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 241991 is divided by 60490?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4840580 = 574*l - 5959230. Does 6 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1039*p**5 - 720*p**2?\nAnswer: -62340*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -85*i**3 + 58*i**2 + i + 34366 wrt i?\nAnswer: -255*i**2 + 116*i + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4110 divided by 137?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 6 + 2)*(-1 + 414*t + 16 - 402*t)*(-2 + 2 + t).\nAnswer: -36*t**2 - 45*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from jwwjwwwjwjwwwjuww.\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = 6*y - 8424. Suppose -3*j = -9*j + y. Let w = -13 - -26. Calculate the highest common divisor of w and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-2) + 2 - (-2 - 1). Solve r + m = -4*n + 19, n = 2 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 316, 4.27 in increasing order.\nAnswer: -2\/5, 4.27, 316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 30 = 10. Let d = u + 6. Let y = 16 - d. What is the highest common divisor of 30 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 28 = 3*q, -4*f - 3 - 33 = 5*q. Let n be (f\/(-20))\/(2\/(-2 + 6)). Sort 1\/4, n, -2 in descending order.\nAnswer: n, 1\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20.66 + -15.66. Which is the closest to -2\/15? (a) 7 (b) x (c) -0.5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - 0)*(268 + (-21)\/7). Let g = r - -266. Solve -k + g = 4 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ngzzgtzjjtgzgzjjrz. What is prob of picking 1 j and 2 z?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11011000001000 (base 2) in base 14?\nAnswer: 5080","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 5*h + 45, -39*p + 38*p + 4*h = -55. Suppose p*b - 33 = 247. What is the highest common divisor of b and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 443023 divided by -30\nAnswer: -443023\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -56, 4, 16.4, -3\/7?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 26909 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 62376374 and 685?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 236 = 2*t. Let h be t\/10 - 3\/(-15). Let z be ((-12)\/(-7))\/(1\/7). Calculate the greatest common divisor of h and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (46\/(-4))\/((78\/572)\/(5\/(-55)*-9)).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7061248065 to the power of 1\/6, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.399 in -2\/5, -1, -2\/23, -5, -2?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10792721 and -0.15.\nAnswer: 1618908.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 618 and 39978?\nAnswer: 4117734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102012010221221 - 2?\nAnswer: 102012010221212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 + 20.998. Let b = o - -0.102. Which is greater: -1\/21 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-132)\/(-2))\/((-1)\/(-5)). Let z = r + -339. Let d(x) = -x**3 - 10*x**2 - 9*x - 8. Give d(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 44355?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-17) - 301\/((-2292416)\/3840))\/(-7).\nAnswer: -6\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + t + 166, 3*p - 2*t - 161 = -0*p. Suppose 5*j + p - 332 = 0. What are the prime factors of j?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-346)\/14 - (-4)\/(-14). Let v = 64 + m. Suppose -v = -u - 2*u - 3*p, -3*u - 4*p + 41 = 0. What is the smallest common multiple of 2 and u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 - 103*c. Let w(i) = 1175*i - 3. What is w(l(y))?\nAnswer: -1175*y**2 - 121025*y - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000406758661 to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -5376251 * -0.3\nAnswer: 1612875.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o + 7. Suppose -5 = 2*n + 1. Let q be y(n). Suppose 3*s - q*s = 0. Solve -12 = -s*r - 3*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - -1.8. Round k to zero decimal places.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d**3 - d**2 - 6*d + 7. Let z be q(10). Suppose -6*o - 1361 = -z. What is the remainder when o is divided by 26?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428101645 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249 is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -47359*n**5 - 499*n**4 + n**3 + 329559181*n**2.\nAnswer: -2841540*n**2 - 11976*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2 - 1540*i + 592900.\nAnswer: (i - 770)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/432 and -127\/324?\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -566*k + 143 = -579*k for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.11 - -0.11. Let u = 50.365 + 0.135. Let i = u + -51. Which is the nearest to -1? (a) i (b) v (c) 4\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(300))**2 - ((-1 + sqrt(3))*6 + sqrt(3)) - ((sqrt(432) + 1)*3 - 2*((sqrt(432) + sqrt(432)*1)**2 + sqrt(432))).\nAnswer: -19*sqrt(3) + 4659","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37 + 133 - 686*y - 641*y + 1231*y.\nAnswer: -96*y + 96","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cpopnnpoppncpcn. Give prob of picking 2 c.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2a22b0 (base 12) to base 9\nAnswer: 1300376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 4:45 AM?\nAnswer: 2:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1191 - 584. Let b = 609 - d. Solve -h = -4, 0 = b*k + 2*h - 9 - 5 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1291 - -869. Is -422 at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12005671?\nAnswer: 367, 32713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 + -26912848017.0759?\nAnswer: -26912848016.9759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/11, -29, -4, -2\/23, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/13209 and -13\/2499.\nAnswer: 92463","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8253*s - 70 = -8248*s for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-2)*((-140)\/(-70))\/((-20)\/190)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 5:32 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(350)\/(sqrt(28)\/sqrt(4)))\/sqrt(10).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a**4 + 0*a**5 + a**5 - 2*a**4 + (-2*a + 2*a - 3*a**4)*(4*a + 4*a - 6*a) + 0*a**5 + a**5 - 3*a**5.\nAnswer: -7*a**5 + a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -352*t**2. Let f(w) be the first derivative of w**3\/3 - 191. Calculate x(f(a)).\nAnswer: -352*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l**3 + 5*l**2 + 5. Let q(o) be the third derivative of 3*o**6\/40 - 7*o**5\/20 - 7*o**3\/2 - 9*o**2. Determine 21*m(b) + 5*q(b).\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4734, 9447, 14148, 18831, 23490?\n\"Answer: -o**3 + 4720*o + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) -0.03568 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -44*b + 3038. Let y be c(69). Let r be 16\/(-6)*3\/(-2). Solve -y = m - r for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -8*o + 12. What is the second derivative of -1 - 7*g**o + 17*g - 6*g**2 + 1 wrt g?\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fyyf when four letters picked without replacement from {y: 2, f: 8}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1512)\/(-11340) - (6\/(-16) + 257076\/4320).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 8 = -5*q. Let f(s) = 2376*s - 2 + 2396*s + 2*s**2 - 4775*s. Determine f(q).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3981887 is divided by 339?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119142 is divided by 144?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 103 + -103. Suppose 0 = -2*f + 4*s + 6, -5*f + p*s + 27 = 2*s. Solve 0 = -2*z - 8*j + 3*j - 19, 3*z + 21 = -f*j for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 9:44 PM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u**2 + 3*u + 5. Let b(n) = 3*n**2 + 2*n + 7. Let p(q) = 3*b(q) - 4*m(q). What is p(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2481033497?\nAnswer: 131, 1277, 14831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 10*b**5 - 15*b**4 + 5*b**3 = 0?\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from jpopjjkj?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 5*l - 4*r = -16, 4*l = -5*r + 17. What is the units digit of 135\/18*4\/l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*f - 1989 + 28*f - 2*f**2 + 1796)*(-4*f + 6*f + 6*f).\nAnswer: -16*f**3 + 16*f**2 - 1544*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 - 119 = -3*x. Sort x, 1, 3 in increasing order.\nAnswer: 1, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-31))\/(w\/(w**(-1\/5)*w*w)*w))\/(w**(4\/11))**2 assuming w is positive.\nAnswer: w**(-1701\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 130 (base 4) to base 15.\nAnswer: 1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 208\/179, -3\/7, -0.346 in decreasing order.\nAnswer: 208\/179, -0.346, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1789717 or -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 + 4 + (-7 + 3 + 3)*(3 - 1 - 4))*(-32 + 32 + 9*k) to p + w*k and give w.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -17457, -17458, -17459, -17460?\n\"Answer: -u - 17456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 12 = -8. Let y = -3 - p. Let b(m) be the first derivative of -5*m**4\/2 + m + 12. Calculate b(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -3*o**3 + 11. Let q = -88 - -91. Suppose 8 = 2*k - 2*w, w + q*w - 32 = -2*k. Let a(j) = 2*j**3 - 7. Determine k*a(c) + 5*t(c).\nAnswer: c**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(833) + -1 + sqrt(833) + -4 + -1 - ((2*(-2*sqrt(833) + sqrt(833)))**2 - -4*sqrt(833)*-1)).\nAnswer: -210*sqrt(17) + 16690","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 2 c, and 1 b when four letters picked without replacement from dddbbrcrrdrbhbddc.\nAnswer: 4\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1 - o**2 - o**2 + o - o + (1 - 1 + o)*(1 - 1 + o) + 6*o**2 - 2*o**2 - o**2 - o**2 + 3*o**2 + 0*o**2 as g + c*o**2 + k*o and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tsxt when four letters picked without replacement from {t: 5, x: 7, s: 1}.\nAnswer: 7\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6589 - -26359\/4. What is the second biggest value in b, -3, -0.4, -1.62, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**(1\/13))\/(((w**(-11)*w)\/w)\/w))\/(w\/w**(8\/5))**(-2\/13))**(-27) assuming w is positive.\nAnswer: w**(-22518\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 184 - 52. What is the greatest common divisor of t and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 16*l = -18*l - 12, l + 63 - 14 = -22*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-118)\/(-4)*(17 + -15) - 5 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.16105 - -0.13895. What is the third biggest value in -0.1, y, -0.13, 2\/15?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3725426.\nAnswer: 2, 647, 2879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 5*o + 10, 0*o + o - 50 = 5*t. Let j(s) = s**2 + 11*s + 7. Let w be j(t). Which is the third smallest value? (a) 0.2 (b) 1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73003.\nAnswer: 7, 10429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4930\/2123 - 8\/193. Let q = l - -516\/209. Which is the closest to 1? (a) -1 (b) q (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1157*w - 1107*w + 850 = 0 for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2907 (base 14) to base 16.\nAnswer: -1c5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -48 greater than -49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 - -14.18. Let z = -0.8199918 - w. Round z to six decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, p: 2, u: 1, c: 1, k: 2, h: 1}. Give prob of sequence csp.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -830668 = -43*c - 830410 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5681729 is divided by 88777?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 436.6265 millennia?\nAnswer: 5239518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*h**2 + 22 - 22)*(31*h - 107 + 107).\nAnswer: 775*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = -5*u + 44. Let g(o) = -o**3 - 4*o**2 - o + 10. Let b be g(-3). Solve -2*i - 20 = -u*l, 0*l + 5*i = b*l - 26 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 60, -5, 3 in increasing order.\nAnswer: -5, 3, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-17 - -13)*(-63)\/4. Calculate the highest common divisor of 7 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -5, 3, 8, -3 in descending order.\nAnswer: 9, 8, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 239594?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*i + 60 = 15*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -192 - -192.0515. Let k = b - 0.033. Let y = 0.01 - k. Round y to 3 dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.2136 + -3.4336. Which is the third biggest value? (a) 11 (b) o (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 3. Let x(y) = -2*y**2 + 31*y - 46. Let u be x(14). Which is the closest to 0.1? (a) 2\/13 (b) u (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*q**2 + q + 0*q**2 - 15*q**2 - 44 - q to r*q + n*q**2 + t and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -4*(-2 + 2 + (sqrt(612) - (sqrt(612) - sqrt(612)*-1)) + sqrt(612))**2 + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(1088) + sqrt(1088)*3 + sqrt(1088) + 5 - sqrt(1088))**2.\nAnswer: 320*sqrt(17) + 17433","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 90, 336, 728, 1266, 1950?\nAnswer: 2780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**3 + 240735*p**2 - 2889144*p + 8667756.\nAnswer: 3*(p - 6)**2*(p + 80257)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z = 14 - 5. Let w be -2*1 + 13*z\/(-5). Which is the nearest to 0? (a) -2\/3 (b) w (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 7*v**2 - v - 2. Let i be t(-7). Suppose -q = 5*l - 36 + 5, -l = -i*q + 25. Solve 3*z + 6 = -q for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-21) - (-2)\/7. Suppose t = -3*o - 9, -2*m = m + 2*o. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 4*z + 59. Determine g(-15).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 PM and 9:27 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/45, -0.04, -1, 2\/19, -3 in decreasing order.\nAnswer: 2\/19, 1\/45, -0.04, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of -a**6\/120 - a**5\/20 - a**4\/12 - a**3\/6 - a**2. Calculate the remainder when 34 is divided by u(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2*l - 4 = 0, 5*i + 35 = -5*l - 5. What is the second biggest value in -2, 4, i, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 263 + -260. Sort -8, 1, 2, g.\nAnswer: -8, 1, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x - 30. Let w be f(9). Is w greater than -22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -2*t + 16. Let n = 2 + -1. What is the lowest common multiple of t and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3364375 = 3*q + 2*p, 0 = -2*q + 105*p - 101*p + 2242874. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 4564?\nAnswer: 4600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, f: 8}. Give prob of picking 1 g and 1 f.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 392 and 952?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7f7 + 144?\nAnswer: -6b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -43*a**2 + 3 + a**3 + 0 + 7*a + 35*a**2. Suppose j = -i - 89, 5*j + 394 = -4*i - 52. Let z be 214\/30 + ((-348)\/j - 4). Give o(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -363*r**3*t**3 - 322*r**2*t**3 wrt r.\nAnswer: -2178*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 12) in base 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 496, 2, -22, 942, -4 in descending order.\nAnswer: 942, 496, 2, -1, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 308\/(-33)*12\/(-28)*-2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 795754.3 millennia?\nAnswer: 79575430","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 4 - (4 + -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w + 5. Let y(z) = 4*z + 20. Let j(t) = 9*h(t) - 2*y(t). What is the smallest common multiple of j(0) and 1\/((4\/(-2))\/(-22))?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2)*5 + sqrt(8)*-4)**2 + sqrt(16)\/(-5*sqrt(392)).\nAnswer: -sqrt(2)\/35 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12865 and 2573?\nAnswer: 12865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -1. Let g(m) = -m**3 - 3*m**2 - 5. Let n be g(-4). Suppose -4*p + n + 1 = u. Is 3 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.517 + -0.617. Which is the closest to t? (a) -2 (b) 4 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 53*o**3 - 3*o**2 + 9*o + 1. Let x(n) = 107*n**3 - 5*n**2 + 15*n + 2. Give 3*x(m) - 5*z(m).\nAnswer: 56*m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 3 + 4)*(-6*o + 3*o + 2*o).\nAnswer: -7*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1318 times 0.4\nAnswer: 527.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -177, -14, 25, 4.\nAnswer: -177, -14, 4, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -132132011 - -2030?\nAnswer: -132123321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -217563529*z**3 - 255327424 with respect to z.\nAnswer: -652690587*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -5*j. Let k(i) = 3*i**2 + 5*i - 5. Let f(m) = -4 + 1 - 4*m + 3 - 2*m**2 + 4. Let b(s) = 5*f(s) + 4*k(s). Determine b(p(g)).\nAnswer: 50*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 2 x, and 1 u when four letters picked without replacement from {u: 3, x: 3, g: 2, p: 1, b: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 AM and 9:28 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-4)\/(-9)*57\/38.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 109*b - 4290. What is l(39)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*y = 100*y. Solve -89*h + 92*h - 3 = y for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55090 take away 0.03?\nAnswer: -55090.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add -4 and -6.99.\nAnswer: -10.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (285\/(-2))\/(-7 + 3). Let g = u + -36. Let k = -24 - -262\/11. Which is the nearest to -2\/7? (a) -0.3 (b) k (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3 + ((sqrt(171)*1)\/sqrt(9) - (sqrt(475) - (sqrt(475)*-2 - sqrt(475)))**2) + (sqrt(2736) - 1*sqrt(2736))**2 + 3)*-5.\nAnswer: -114000 + 15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(20\/(-12))\/5.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32*l - 171*l - 167*l + (2 - 4 + 1)*(-l - 3*l + 2*l))*(4 - l**2 - 4 + (-3*l + l + 0*l)*(-2*l + 4*l - l) - l**2 + 0 + 0).\nAnswer: 1472*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from irlvn. Give prob of sequence rin.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - 14*n**2 - n - 10. Let q be x(-14). Suppose -c = q*c. Solve -4*b + 5*b - 2 = c for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -3\/5, 27\/2, 8, 4.3825, 2\/7?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*b - 1379*b + 107653 = 176*b - 71904 for b.\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -37803*k**2. Let q(w) = -95*w. What is b(q(c))?\nAnswer: -341172075*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = -3*b + 28 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -39 - 10*z - 2*z + 3*z - 5*z with respect to z.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (7 + -14)\/(-14)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/332 and -23\/16.\nAnswer: 1328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 24*q - 301. Let d be g(13). Sort -5, 3, d, -3.\nAnswer: -5, -3, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(2448) + 3*sqrt(2448)*4 + sqrt(2448)))**2.\nAnswer: 17273088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8920587.\nAnswer: 3, 13, 228733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 5*u**5 + 15*u**4 - 80*u**3 - 440*u**2 - 720*u - 400 = 0.\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 + -4 - -4) + (0 - -6). Solve -3*v - v = b for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10007 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 6:30 PM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -473 + 481. Solve 0 = -3*s - a - 2*a + 21, a = 4*s - k for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {q: 18, z: 2}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -105*s - 69. Does 16 divide t(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 4*o - 7, -162*m - 5*o - 8 = -166*m. Do 793 and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-8877.\nAnswer: -887.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 4, 120977, 5 in increasing order.\nAnswer: -3, 3, 4, 5, 120977","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 41291947 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 101550749?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/10 (b) 4 (c) 0.1 (d) 1 (e) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**3 - 60*i**2 + 300*i - 500.\nAnswer: 4*(i - 5)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/3987144 and 89\/2658096.\nAnswer: 7974288","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -6 + 2*w**3 - 4*w**3 + 3*w + 4*w**2 + w**3. Suppose -32 = -3*b + b. Suppose -4*j + 2*d + 28 = -d, 2*d = 2*j - b. Give i(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**4 + 841*a**3 - 4995*a**2 - 12517*a - 6680.\nAnswer: -(a - 835)*(a - 8)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*w**2 - 180*w = 0. What is w?\nAnswer: -60, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-480)*25)\/((-5)\/(-1)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 - 102*l + 46. Calculate c(0).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5\/30 + (-3)\/2)*6. Let m be (-1 - 46\/d) + (-45)\/60. Suppose 0 = -c - 3*j - 1419991, m*j - 1420015 = c - j. Round c to the nearest 100000.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {u: 3, g: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 60790 to the nearest one thousand.\nAnswer: 61000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 24 = -c. Suppose 0*g - 4*g + c = 0. Suppose g = u - 0. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25 - 25. Are 2\/27 and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 389 - 326. What is the smallest common multiple of 63 and c?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*r - 75 + 75)*(-1 + 4 - 1 + (-1 + 2 + 3 + (-1 - 2 + 4)*(1 + 1 - 4))*(5 - 3 + 1)).\nAnswer: -232*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1701 + -1699. Calculate the highest common factor of g and 25.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 10430 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53, 47, 37, 23, 5, -17, -43?\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/4*25042\/(-7249)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 277 = -3*k - 273, 2*k = -5*r + 7 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111 - 10010000?\nAnswer: -10001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -41 + 18 + (-19 - -30).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - f**3)*(-f**2 + 2*f**2 - 5*f**2) + f**5 - 6*f**5 - 6*f**5 - 36*f**5 - 27*f**5 + 30*f**5.\nAnswer: -40*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of g**6\/120 + 11*g**5\/60 - g**4 + 31*g**3\/6 - 74*g**2 + 8*g + 1. Determine m(-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2*s - 3)*((-11 - 11 + 3)*(0*s + s + s) + (-s - 2*s + 4*s)*(17 + 14 + 4)) to p*s**2 + r + k*s and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1915699 is divided by 273646.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 33*a**2 + 116*a - 799. Determine v(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence saca when four letters picked without replacement from oaocasnoossaanncao.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 172*h + 160. Suppose 591 = -7*j + 633. What are the prime factors of v(j)?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g**2 - g**2 + 5*g**2)*(18*g - 10*g + 12*g)*(0 + 4 - 2).\nAnswer: -40*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -24*b**3 - 6*b**3 + 6*b**3 - 3*b**3 - b**3 + 3*b**3 + (b + b + 0*b)*(-2*b - b**2 + 2*b).\nAnswer: -27*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.124 and -0.4.\nAnswer: -0.0496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-43)\/((-2365)\/(-2244)))\/((-718)\/(-1795)).\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = q - 4*f, -5*q + 0*q - 3*f - 1 = 0. Let z(i) = q + 2*i + 3 - 10. Let h(r) = -1. Determine 4*h(m) - z(m).\nAnswer: -2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5\/6 (b) -3 (c) 7 (d) 2 (e) -24\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -75, -85, -95, -105, -115?\n\"Answer: -10*f - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3\/6 + 17*x**2\/3 - 63*x\/2 - 150.\nAnswer: -(x - 25)*(x - 12)*(x + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-180))\/(190\/25 + -7).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 + 20*c + 7. Determine d(20).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-3488)\/(-384) + (0 - -1) and 13\/54.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 165119?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 1 = 237. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-6 + 4 - -7 - 10)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 20020200120 (base 3) to base 12\nAnswer: 5b1b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 63304 a multiple of 248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 2) in base 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/7)\/c**2)\/(c**(-2\/27)\/((c**(-2\/21)*c)\/c)) assuming c is positive.\nAnswer: c**(-436\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 824191*u + 164 - 164.\nAnswer: 824191*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3.1631? (a) 5 (b) -3\/5 (c) 0.3 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**40\/p)**(-20)*(p\/(p*p*p**(-31)))\/(p**38\/p*p) assuming p is positive.\nAnswer: p**(-788)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-3\/2))\/(h\/(h*h**(-2)))*h**(-5)\/(h*h**(5\/2)))**(-8) assuming h is positive.\nAnswer: h**64","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/8)\/(13\/(-156)*3). Let s(c) = -8 - 2*c**2 - 88*c + 87*c + d. Let r(w) = -w**2 - w - 3. What is 5*r(o) - 3*s(o)?\nAnswer: o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.5 - -0.3. Let u be (-2 - (-92)\/42)*(-567)\/756. Let m = 0.08 - 4.08. What is the second biggest value in q, m, u, 0.5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.22783274 rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -3*a**4 - 333*a**3 + 2253*a**2 + 17397*a + 23166 = 0?\nAnswer: -117, -3, -2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 120356 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1940416845 to the nearest integer?\nAnswer: 1247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 141 = 4*f - 3*x, -2*f = 4*x - 42. Suppose p = -4*r + 16, 4*p + f + 5 = 4*r. Let l(z) = z**3 + 0 + 1 + z + 1 + 4*z**2. Give l(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9020 - -9020.1. Is 985.5 at most as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 8*t = 4. Let p = 0.4 - 0.8. Which is the third smallest value? (a) t (b) p (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2762801 and 39527?\nAnswer: 1363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31323 (base 6) to base 5.\nAnswer: 113402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 40028000 rounded to the nearest one hundred thousand?\nAnswer: 40000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*y + 340 - 108 = 0 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126 + 111 = 25*q - 238 for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2773788713?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*7 - 1260\/150)\/((-1)\/10)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5451 - 5408. What is the remainder when 71*3 + -1*1 is divided by c?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 AM and 11:27 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*v**2 - 4*v**4 + 0*v**4 - 3 + 1 - 3*v**2 + v to f + h*v**4 + m*v + a*v**2 + b*v**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35201100 and 1650?\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57006719?\nAnswer: 7, 11, 23, 32189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.2, 178, 54, 9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - y + y = 0. Let z be (0 - y) + (-36)\/(-9). Let r = 3 + -4. Which is the nearest to -2\/5? (a) r (b) z (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2781 to the power of 1\/2, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3375.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 79222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-18)*6)\/((-4)\/(-2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*4 + 2 + -4. Suppose -j - 4*l + 42 = 0, 4*l + l + 110 = g*j. What is the remainder when j is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 PM and 11:00 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5615 + 3675*x + 5615.\nAnswer: 3675*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 - -16. Solve 0*t - 30 = -t - y*f, t = f for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -191*y + y**2 + 106*y + 100*y - 5*y**2 to w + p*y + c*y**2 and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -189*u**3 + 19*u - 11227?\nAnswer: -567*u**2 + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 147 - 147 + 498*w**2. Let x be o(-2). Let i be x\/(-308) - 12\/(-66). Which is smaller: i or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2018 or 1823?\nAnswer: 1823","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 210791325?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 40\/(-7) - (-2)\/(-7)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -1\/9 (c) -1\/5 (d) -1\/3 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 6*p = -p, 5*p = 5*s. Let k be 2 - s - (-1 + 2). Suppose -l - k = -5. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bvdbbpdbdbpdbbrrv. What is prob of picking 2 p?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g**4 + 5*g**3 - g**2 - 5*g = 0. What is g?\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lxx when three letters picked without replacement from {y: 4, l: 1, x: 8}.\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -i - 4, -k - 4*i + 0*i - 21 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 - -13. Let h(i) be the second derivative of -i**4\/6 - 19*i**3\/6 - 3*i**2 - 208*i. Calculate the smallest common multiple of h(r) and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-2*sqrt(100))\/(sqrt(10)\/(sqrt(5) + -2*sqrt(5)))*-6 + 0 + 0.\nAnswer: 60*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*w + 3*w - 36 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2470 and 4350905?\nAnswer: 1235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = j - 2*c - 12, -5*c = -2*j + 61. Calculate the greatest common factor of j and 2432.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54310?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2467439980 to the power of 1\/3, to the nearest integer?\nAnswer: 1351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 441*b**2 - 3*b - 12. What is the hundreds digit of s(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 4*h**2. Let b(p) be the second derivative of p**4\/12 - p**2 - 4*p. Let u be b(-2). Let x(l) = 2*l - u*l + l. Determine z(x(q)).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28118*r**6 - 169*r**4 + 2*r**3 - 7*r**2 + 1723160*r.\nAnswer: -3374160*r**3 - 4056*r + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 956*t**3 - t**2 - 3. Let p be l(-2). Let u = -3264 - p. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-138)\/9)\/(2\/(-3)). Let w(a) = -106*a**3 + 3*a**2 + 5*a + 3. Let l be w(-1). Let x = -83 + l. Are x and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 2 = 2*r + 2*o, o - 1 = r. Solve 0 = -r*a + 5*m + 15, -a + 4*m = -3 - 9 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 63 and 7495\/17 + 14\/119?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 890?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0084970228 to six dps.\nAnswer: 0.008497","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -65765977, -131531957, -197297937, -263063917?\n\"Answer: -65765980*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 2 = 8. Suppose 5*p = 57 - 27. Let h be (4\/2 - 6) + p. Solve -13 - h = x*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 344 and 616?\nAnswer: 26488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*s + 214*s - 2585 = 65*s for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, 109, 411, 999, 1969, 3417, 5439?\nAnswer: 8131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(833) - -2*sqrt(833)*4) + sqrt(833) + 2 - (2 + sqrt(425) + (sqrt(425) - sqrt(425)*1) + sqrt(17))*5)**2.\nAnswer: -640*sqrt(17) + 27264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 120013300030 - 1?\nAnswer: 120013300023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + f = 3*f - 1, 5*b + 2*f = 19. Let z(l) = 4*l + 8. Let i be z(b). Let r = i + 38. List the prime factors of r.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*a - 13*a - 69*a**2 + 63*a**2 wrt a.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -136, -64, 8, 74, 128?\n\"Answer: -n**3 + 6*n**2 + 61*n - 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11072688 is divided by 11072681.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 3:06 PM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 m when two letters picked without replacement from mmyyyyyyyyy.\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 + 2*p + 7. Let b be o(5). Let c(h) = -2*h - 4. Let i be c(b). Solve -4*n = -n - i for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 - 8*s - 9. Let l be p(-7). Let i = -158 - -163. Sort i, -46, l.\nAnswer: -46, l, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 1 + 3. Suppose -w*u = u. Solve o - 4 - 1 = u for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 4*l**2 - 2*l - 1. Let c be o(-2). What is the highest common divisor of 247 and c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 33\/12 - (-1)\/4. Let y(z) be the first derivative of -3*z**2\/2 - 21. Calculate y(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5274, 10530, 15768, 20976, 26142?\nAnswer: 31254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 + 4*c - 5. Let z be q(-6). Let f(a) = 3*a**2 + 5 - 41*a + 103*a - 64*a. Let o(d) = -5*d**2 + 3*d - 9. Give z*f(k) + 4*o(k).\nAnswer: k**2 - 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*i = 4516 + 734. Let r be 4\/(-5 - -1) + 0. Is (r + 7 + -1)*(-66710)\/i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -927? (a) -519 (b) 0.4 (c) -0.3 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -715*-19.8\nAnswer: 14157","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*g = 21*g - 106. Let x(c) be the third derivative of 1\/84*c**4 + 4*c**g + 0*c**3 + 0 + 0*c + 1\/105*c**5 + 1\/420*c**6. Factor x(w).\nAnswer: 2*w*(w + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 4\/(-10)*-5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 6 + 3*f - 5*f - 2. Suppose 0 = 2*h + 4*a - 28, -2*h + a + 2*a - 7 = 0. Let p = -11 - -8. Let l(r) = -2*r + 5. Determine h*m(q) + p*l(q).\nAnswer: -2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -279.2 (b) 336 (c) -5 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of -x**5\/30 - x**4\/8 - x**3\/3 + 7*x**2. Let w(i) = -4*i**2 - 5*i - 3. Determine 5*f(s) - 3*w(s).\nAnswer: 2*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000586053 to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.9 - 5.84. Which is the biggest value? (a) -2\/3 (b) -0.1 (c) -4\/7 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 12.9 (b) -16 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -22*i**2\/13 - 3862*i\/13 - 2100\/13.\nAnswer: -2*(i + 175)*(11*i + 6)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0\/1 - -2) + -7. Let i be -5*(-4 - p)\/(-1). Let z(m) = 4*m**3 - 3*m**3 + i - 11*m + 10*m - 2*m**3. Give z(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 40054 (c) 51 (d) 6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5735?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -21*g - 211. Determine q(-13).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 10. Suppose n = -5*c + 58. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/3 + 5840\/(-17124) + 0. Let c = u - -152821\/17124. Calculate the common denominator of -65\/24 and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 64 = 4*i + 60, 3 = 3*i - 5*p - 0*p - 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 3 = w. Suppose 0*x - 3*x = -w*x. Suppose x = -3*j + 249 - 60. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**3 + o**3 + o**3 + (2*o - 2*o - o)*(2*o**2 + o**2 + 0*o**2) - 105*o**2 - 8*o**3 + 318*o**2 + 2*o - 120*o**2.\nAnswer: -10*o**3 + 93*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-1) + 0 + 1. Suppose -5*n = 5*h - 5, -4*h = -2*n + n - s. Which is the biggest value? (a) 0 (b) 0.5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (12\/(-912)*16)\/(2\/(-19)). Solve -z*r - 3*d = -2*d - 7, 4*d + 22 = 2*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/6 + (-35)\/(-56). Is -3\/4 at least as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of -v**8\/56 + 7*v**5\/60 + 3*v**2\/2 + 6. Let l(g) be the second derivative of o(g). Find the third derivative of l(w) wrt w.\nAnswer: -360*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 443\/22 + 290\/11. Find the common denominator of (-214)\/60 + (-128)\/(-60) + -2 and w.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 PM and 5:27 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -7 - (-27 + 52 + -22 + -15)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22299 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (6 - 1326\/(-111) - (-70)\/1295).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/3, -5, 9, -3\/7?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12837 and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 25 = 3*h, -187*h - 20 = 5*c - 188*h for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 125*v - 1. Let b be j(1). Let c = b + -72. Let p be (-54)\/675 - -326*(-4)\/(-50). What is the greatest common factor of p and c?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*r + 62*r + 215 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -4. Let x = 0.05 + -0.35. Which is the biggest value? (a) x (b) 1\/7 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1204583*y**2 - 3210996*y wrt y?\nAnswer: 2409166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20609 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -4*x**2 - 2*x**2 + 2*x**2. Let m(a) = 266*a**2 + 1710*a - 190. Let z(j) = 11*j**2 + 72*j - 8. Let q(p) = -4*m(p) + 95*z(p). Give q(n(s)).\nAnswer: -304*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 116052672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1425988081 to the power of 1\/2, to the nearest integer?\nAnswer: 37762","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.167415 and -2.168.\nAnswer: -2.000585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 + 22. Let i(c) = -8*c**2 - 26 - 24 - 29 + c**3 - 9*c + 73. Calculate i(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -289*d**5 + 2*d**3 + 32*d - 62?\nAnswer: -5780*d**3 + 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*g**3 + 820*g**2 + 3*g - 113005?\nAnswer: -9*g**2 + 1640*g + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 15 = 2*i + 5*y, y - 99 = 5*i. Let u(r) = 6*r - 3. Let b be u(-1). Let k = b - i. What is the greatest common factor of k and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (21\/(-5))\/((-9)\/60). Solve 16*r - u*r = 24 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1 - -3) + (-28 - -21) - -14) + 4.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - 6*s**2 + 3*s - 4. Let v(d) = -d - 8*d**2 + 21 - 15 + 2*d - 4*d + d**3. Let i be v(8). Let b = i + 24. Determine f(b).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnp when three letters picked without replacement from {p: 11, n: 2}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1253481681 to the power of 1\/3, to the nearest integer?\nAnswer: 1078","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 19119 - -577a?\nAnswer: 22897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (((sqrt(605) - (sqrt(605) - 2*(sqrt(605) - (sqrt(605) + 0 + sqrt(605)) - sqrt(605)))) + 1 + sqrt(605)*1)**2 + -1)*6.\nAnswer: -396*sqrt(5) + 32667","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000558748442 to 7 dps.\nAnswer: -0.0005587","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 689309916 to the power of 1\/2, to the nearest integer?\nAnswer: 26255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.186816 less than -5254?\nAnswer: -5298.186816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of 307*j**3\/6 + j**2\/2 - 3811*j. Let f(g) = g. Give c(f(k)).\nAnswer: 307*k + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16804 - -17125. What is the remainder when h is divided by 309?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128866 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (38\/(-33))\/((269664\/(-2332))\/(-318))?\nAnswer: -19\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 3*g**3 + g**2 - 7*g + 9. Let u(w) = w**3 + 4*w - 1. Let q(j) = -5*j**3 - j**2 - 8*j - 2. Let p(x) = q(x) + 3*u(x). Determine -4*l(n) - 7*p(n).\nAnswer: 2*n**3 + 3*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 - 2*w + 7. Let d be y(-3). Suppose -d*b = -5*b + 118. Suppose 0 = -5*x + b + 17. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 14) to base 2\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 4580 = 3*n - 23305, -3*n - 15 = 0. Let o = 3070 - y. What is o rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/98 and -93\/28.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6000078284?\nAnswer: 2, 3989, 376039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 67797?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1198 - -1194. Which is the closest to 1\/40? (a) 0 (b) l (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 7718, 14375, 21032?\n\"Answer: 6657*u + 1061","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 930.5297us in nanoseconds?\nAnswer: 930529.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38755, 38693, 38589, 38443, 38255, 38025?\nAnswer: 37753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 63589363 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 155\/(-55) - 2\/11 - -3. Suppose -38 = 5*m - n, g = -0*n - 2*n + 6. Is -5 >= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -17, 5, -11 in decreasing order.\nAnswer: 5, -4, -11, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -24 + -12211630?\nAnswer: -12211654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 133901.415563652 and -3.\nAnswer: 133898.415563652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 4 = -3*s, -4*s + 2*u + 2*u = -52. Let z = -8 + s. Put -3, z, 1 in ascending order.\nAnswer: -3, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50471287?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -129 + 129. Let d = 43\/6 - 7. Let a = -1.95 + -0.05. What is the nearest to o in -5, a, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(78) + sqrt(78) + -2*sqrt(78) + sqrt(78) + sqrt(78)) + sqrt(78))\/(-2*2*sqrt(6)))**2.\nAnswer: 1573\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/4 + 4)*26600\/1862 - -9?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.82 rounded to the nearest integer?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 2 = 2, -p = -4*i + 490. Let c = -119 + i. Solve -c*u + o - 20 = 6*o, -4*u + 20 = -5*o for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16074 and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -194, -256, -320, -386?\nAnswer: -454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 4. Suppose 9*k - 46 + 1 = v. Suppose -k*q - q + 1074 = 0. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1174*z + 1205*z - 589. Solve -6*v = -z*v + 39 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 55\/2 of a litre?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 758*m = 757*m, 4*s + 8 = 5*m. Which is bigger: s or -135\/113?\nAnswer: -135\/113","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*1\/(-2)*2. Suppose 5*h = -4*m, -10 - g = -4*h - m. Solve 7 = -x - 0*x - i, 0 = 3*x - h*i - 7 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-1\/5)*h)**(-22\/3))**(1\/86) assuming h is positive.\nAnswer: h**(-33\/215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((60\/(-9))\/10)\/(3\/(-27))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 + 9*p**2 + 21*p + 82. Give l(-7).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218093 is divided by 214902.\nAnswer: 3191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-237)\/(-553)*(0 + 405601) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373630953 to the power of 1\/3, to the nearest integer?\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1597500314 to the nearest integer?\nAnswer: 1169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/10)\/((-231)\/4004*-494).\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -3 + (-1 - 11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 + 0.1. Let w = 90001 + -2340023\/26. Which is the nearest to -5? (a) w (b) -2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 69 (b) 2 (c) 67 (d) -4 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 41 + 1 = 0. Let g = 46 + y. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*d + 762 - 254 = -818 for d.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/3)\/((-9108)\/(-1242))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 6)*(-2 - 1 + 5)*(6 + 0 - 7)*(-3 + 3 + 2*j).\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -712, -1393, -2074, -2755, -3436, -4117?\nAnswer: -4798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6970123 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 372 - 201 = r + 200, 4*r - 127 = -5*a for a.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.07 or -763\/6?\nAnswer: -763\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 5. Factor -6*x**4 + 12*x**2 - x**q - 3*x**5 - 2*x**4.\nAnswer: -3*x**2*(x - 1)*(x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oeppmxb. Give prob of sequence me.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24\/47 - 591\/329. What is the smallest value in -2, -4, d?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d*d*d**(-3\/7))\/d*d**(-18)*d)\/(d**22*d**(-1\/18)) assuming d is positive.\nAnswer: d**(-4583\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b - 31 = 49*l - 48*l, -5*b = l - 24 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 k when three letters picked without replacement from kukkkkukku?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 189*o**3 + 198*o**3 - 421*o**3 as s + r*o + q*o**2 + c*o**3 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -17\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 20 = 4*y. Put y, -0.06, 0.3 in decreasing order.\nAnswer: y, 0.3, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 - 25*s - 31.\nAnswer: -25*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h + 4. Suppose 0 = -2*n - 2*d - 26, -n - d = 3*n + 40. What is the lowest common multiple of 2\/(-3) + (-42)\/n and g(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*k - 320 = 41*k. Suppose 4*f - 44 - k = 0. What is the second derivative of -32*m + 19*m - f*m**4 - 4*m wrt m?\nAnswer: -372*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11815102 to the nearest 100000.\nAnswer: 11800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2626, -6031, -9436, -12841?\n\"Answer: -3405*v + 779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -3*b**3 + 1. Let w be 1\/((-70)\/24 - -3). Let f = 13 - w. Let l be n(f). Let y(c) = -c - 2. Determine y(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37*6.615.\nAnswer: -244.755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34250 (base 9) to base 14.\nAnswer: -8450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3247 + -2125. Does 34 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11.2 - 18.2. Let t be (-2 - -4) + ((-308)\/143 - 0). Put o, t, -14 in ascending order.\nAnswer: -14, o, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of -13*p**2\/2 - 3. Let u(y) be the second derivative of 3*y**4\/4 + 1790*y. Give u(g(o)).\nAnswer: 1521*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17358 is divided by 4337?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x**3 - 4*x**2 - 2*x - 2. Let g be (36\/16 + (-1)\/4)*-5. Calculate the remainder when (-1284)\/(-30) + g\/(-50) is divided by f(-3).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**0)**(4\/13))**34\/((o*o**(2\/5))\/((o\/o**(-2\/17))\/o)*(o**0)**32) assuming o is positive.\nAnswer: o**(-109\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/15*4\/((-32)\/(-10))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -556*h**4 - 3*h**3 + 34175?\nAnswer: -2224*h**3 - 9*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-117 + 115)*1\/2*-1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + s - 33819 = 78358, 0 = r + s - 22433. What is the thousands digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 7) + -2 + 23?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -11 (b) -0.03 (c) -1.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g + 2. Let u(v) = -6*v - 10. Let a(t) = -20*s(t) - 4*u(t). Determine a(-4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1493 by 2.\nAnswer: 1493\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58, 40, 24, 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 + 117 = -9*r - 48 for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 3*z**2. Suppose 0 = 4*m - 0 - 8. Suppose -24 = b + 5*g, -2*g - 3 - 9 = -2*b. Let t(j) = -j**m - 1 - b + 2. Calculate v(t(i)).\nAnswer: 3*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from wwcjcwjj.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6753 + 6768. What is the highest common divisor of p and 1695?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + -38 + 8 - (46 - -48).\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (117 - 1) + 518 + -486?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -6*n - 1. Let z(h) be the third derivative of -h**7\/2520 + 43*h**5\/20 - 14*h**2 + 3*h. Let v(w) be the third derivative of z(w). Determine j(v(g)).\nAnswer: 12*g - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 PM and 11:28 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 - 11*p**2 - 4*p - 8. Let b be a(-11). Suppose -370 = -7*n + b. What is the remainder when n is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 439 + 56. Calculate the greatest common divisor of 9 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minus 171188564657?\nAnswer: -171188564648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 2*g + 77, -18 = h - g - 4. What is the remainder when 17 is divided by (h\/10)\/(2\/(-12))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/5857920 and 101\/1830600.\nAnswer: 29289600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6157720 and 50.\nAnswer: 30788600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -358020 by 255.\nAnswer: -1404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.001, 7, 18, 14, -1, -4?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 90860*w. Let h(c) = 1228*c. What is -295*h(a) + 4*x(a)?\nAnswer: 1180*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1122010000011 + -2?\nAnswer: 1122010000002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 12, 3*y - 15 = -5*l + l. Suppose t - 5 + y = 0. Suppose 3*v - 2*x = 3*x + 32, -x - t = 0. Solve v*o = o - 9 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = 5, -2*w + w - 4*j = 17 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 - y**2 + y - 2. Let z be v(2). Let r be -18*8\/z - 2. Sort 0.4, 5, r.\nAnswer: 0.4, 5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19562567 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*z - 9 = -37. What is the least common multiple of 18 and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of 4*t + 1\/6*t**3 + 0 - 1\/4*t**4 + 2*t**2 + 1\/20*t**5. Let n(g) = g**2 - g - 1. Calculate d(z) + 3*n(z).\nAnswer: z**3 - 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 49002377 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 46\/(-3) - (-2)\/(-3). Let y = x - -27. Solve k + 24 = -3*i + 9, 5*k = i - y for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -1013.583.\nAnswer: 506.7915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13637*r*w - 18144*r wrt w.\nAnswer: 13637*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.03 (b) -53 (c) -0.5 (d) 1 (e) 3\/22 (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -3*v - 103. Let t be n(27). Let c = t - -318. List the prime factors of c.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 6 = 4*s - s, -5*o = -5*s + 5. Let p be ((-41)\/s - 4)*12. Let f = -41 + p. List the prime factors of f.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1353.772mg to nanograms.\nAnswer: 1353772000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -203, -185, -167, -149, -131?\n\"Answer: 18*g - 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 PM and 5:43 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2715 and 1065?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 603655080 to the nearest integer?\nAnswer: 845","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 73\/4 or -40\/13?\nAnswer: -40\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s - 13. Let l be i(9). Suppose -4*p = -3 - l. Solve 0 = -2*z + p + 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + 308082700?\nAnswer: 308082700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3706121 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*r**2 + 170*r - 175 = 0. What is r?\nAnswer: -35, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1244100)\/116)\/195)\/(2 + -1)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 + 41)\/(209\/209)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*x - 4 = -101*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + 51aaa0?\nAnswer: 51aa9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*m - 5 = 26*m. Sort m, 13, 2 in decreasing order.\nAnswer: 13, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9 - 255\/60 - (-1)\/4. Let x(k) be the second derivative of 1\/24*k**4 - f*k - 1\/4*k**2 + 0*k**3 + 0. Factor x(j).\nAnswer: (j - 1)*(j + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/5*35\/(-14). Let n = -224409\/5 - -44882. Which is the closest to 10? (a) -0.4 (b) n (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 128\/6*(254 + -248). Which is smaller: 130 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -4, -w - 35 = -3*c - 6*w. Suppose -5*h - 18 = -s + 7, 0 = c*h + 20. Solve -3*q - 2*q = -2*j + 9, -15 = s*q - 5*j for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*t + 19*t = -27*t. Solve t = -4*q - 29 + 17 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1634\/(-2150) + (-72)\/300.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/2 (b) 3 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-6))\/(((-7074)\/(-324))\/131)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 - 23. Let u = -0.048 - 28.952. Let h = u - -29.5. Put -0.2, d, h, 0.3 in increasing order.\nAnswer: -0.2, d, 0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126880961.\nAnswer: 126880961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 226, 197, 154, 97, 26?\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (25 - -1)\/(0 + 2). Let d(x) = x**3 + 3*x**2 - 4*x - 4. Let m be d(-3). Let n = q - m. Does 5 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5716?\nAnswer: 2, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - -1 - (1 + -5 + -26 - -9).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + -4 + sqrt(17)*-2 - (2 + sqrt(1700)) - (((sqrt(1088) + 1)**2 - sqrt(1088)) + sqrt(68)*-2).\nAnswer: -1095 - 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 4. Let l = r + -5. Let f = l + 6. What is the biggest value in f, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46878156 divided by -13\nAnswer: -3606012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, g: 8, m: 7, n: 4}. What is prob of sequence nogn?\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 35 or -6?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 28*a + 951. Let k(h) = 5*h + 189. Let l(d) = 11*k(d) - 2*m(d). Let z(j) = -4*j. Determine l(z(q)).\nAnswer: 4*q + 177","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -38. Let b = 46 + j. Does 7 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**2 + 23 + 3 + 25 + 286*g.\nAnswer: -g**2 + 286*g + 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in six fifths of a microgram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of z**5\/60 - 7*z**4\/24 - z**3 + 4*z**2. Let t be r(8). Let i = 1 + t. Solve i = -5*u + 2*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 4*k + 9. Let q(a) be the second derivative of -a**3\/6 - a**2\/2 - 2*a - 260. Calculate 2*q(f) + t(f).\nAnswer: 2*f + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.0806109 minutes in days?\nAnswer: 0.002139313125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 55801.24 nanometers?\nAnswer: 0.005580124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65 + -73 - (2 + -3 + 31 + -4).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -2162, -209, 2, 4 in descending order.\nAnswer: 4, 2, -2, -209, -2162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (52\/(-7))\/(-2) - (-45 + 49)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29148941 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -62 (b) 12\/11 (c) 3\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of 7*r**5\/20 + r**4\/24 - 3*r**2. Let i(u) be the second derivative of -u**3\/6 - 2*u. Give i(g(m)).\nAnswer: -21*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 10:17 AM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 128, 453, 1000, 1763, 2736, 3913, 5288?\n\"Answer: -m**3 + 117*m**2 - 19*m + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 7*m**2 - 5*m + 6. Let w be q(-6). Let n(s) = 1. Let d(h) = h**2 - 7. Suppose 0*a - 3 = a. Let j(x) = a*n(x) - d(x). Determine j(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-49)\/(16170\/(-20)))\/((-1)\/9*2).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 4:01 PM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-133*c + 1 + 135*c + 0)*(-21 + 13 + 4).\nAnswer: -8*c - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4973912, 4973916, 4973920?\n\"Answer: 4*p + 4973908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 410797433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12596828 and 33.\nAnswer: -415695324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/171 + (-59296)\/405916.\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + l + 0*l)*(171*l**2 + 11940 - 11940)*(2*l - 4 + 4*l + 2).\nAnswer: -2052*l**4 + 684*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14688 divided by 4.\nAnswer: -3672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 12118a - 7?\nAnswer: 121183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r - 16, -2*r - 6 + 4 = 3*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of c**5\/120 + 7*c**4\/24 + 7*c**3\/3 + 10. Let p(s) be the third derivative of f(s). Suppose 29 = -5*a - 6. What is p(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2800 - 1976. What is the hundreds digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 13. What is the units digit of (3 - 4)*(q - -3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -14, -28, -50, -80, -118, -164?\n\"Answer: -4*l**2 - 2*l - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 3 + 11)*(29 - 3*k - 15 - 13)*(-4*k - 2 + 2) + (-1 + 1 - 2*k)*(-2*k + k + 2*k) + k**2 - 5 + 5 to the form c*k**2 + z*k + f and give c.\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 571619653 - -38.86?\nAnswer: 571619691.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*k = -19*k - 1435480. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from oojooooooooo.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15174, -15140, -15106, -15072, -15038, -15004?\nAnswer: -14970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 57450 and 459600.\nAnswer: 459600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 567 and 1512?\nAnswer: 4536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-6) - 1\/(-2)*7. Suppose 5*b - 2*i - 2 = 3*b, 5*i - 35 = -5*b. Suppose 3*z = -5 - b. Put 1, z, m in increasing order.\nAnswer: z, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m - 3*m - 2*m)*(2*m**3 - m + m**4 + m).\nAnswer: -5*m**5 - 10*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 2920?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 220599 and 0.154?\nAnswer: 33972.246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 3 q when four letters picked without replacement from qaqaqoqa?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*246\/3608*(-24)\/42.\nAnswer: 3\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/10866 and -169\/84?\nAnswer: 152124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1782))\/sqrt(11).\nAnswer: -18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 2)*(0*o - 2*o + 3*o) - 2*o + 2*o - 2*o + (-18 + 18 + 10*o)*(-6 - 4 - 2).\nAnswer: -121*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 39042041 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -45, 3, 15 in increasing order.\nAnswer: -45, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*j - 16. Let n = j + 19. Calculate the remainder when 37 is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 1 + -2 - (-12 + 11).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 60370507 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10.315 - 0.315. What is the closest to 1\/4 in 0.4, i, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 + 11*d**2 + 17*d - 1. Let h be y(-9). Suppose -10 = -2*j - h. Solve -m + 3*u = j, -u - 4 = -3*m + u for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -50.6880434 from -14087.87.\nAnswer: -14037.1819566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 2*z = -18, 2*m + 3*z = 7*m - 13. Suppose 2*v + m = -3*v, 3 = -2*d - 5*v. Solve j + 1 = -b, -j + 3*b + 20 - d = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 + 7*g + 9. What is b(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c**2 - 2*c - 2. Let o be u(4). Let z be (2 - 4 - -6) + 109. Suppose l - 21 = -s, -o - z = -5*l + s. Is 9 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = b - 3*x, 0*x - 6 = 2*b - 2*x. Suppose 6*h - 12 = 2*h. Put b, h, -2 in descending order.\nAnswer: h, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 + 12. Determine s(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8.8 - -5.8. Suppose -4*t + r = -10, -4 + 0 = 2*r. Let x be (t\/3)\/(8\/6). What is the fourth smallest value in k, 3, 0, x?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (-2)\/3)*(-1)\/(-2).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 42) + (509 - 470)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -16050203 (base 7) to base 14\nAnswer: -2c1b03","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -1\/7, 362, -0.32.\nAnswer: -0.32, -0.2, -1\/7, 362","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58605669.\nAnswer: 3, 37, 175993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2221010 (base 3) to base 16\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 5*o - 1 = 0, -3*s + 3*o - 3 = 3. Let v = 8 + s. Let c(b) = -2*b**3 + 3*b + 1. What is the remainder when c(-2) is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/3 (b) 3\/8 (c) -20 (d) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -210 (base 11) to base 14.\nAnswer: -141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27464286 - -13580363. Let z = 13883935.999994 + j. Let u = -13 + z. What is u rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 - 1. Let r(c) = 6*c**2 - 4*c - 1. Give -n(l) + r(l).\nAnswer: 5*l**2 - 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of -19*j**2\/2 - 57*j - 132. Let a be p(-3). Solve a = -5*s + 2*s - 12 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in -1, 5, -32633?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x + 1. Let s be t(1). Suppose -2*u = -u + s. Calculate the remainder when 12 is divided by (u\/(-3))\/(2\/21).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (15 - 3) - (4 + -10)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -2*m. Suppose -n + 2*n + 3 = m. Suppose 5*k + 5*f = -15, -k - 2*k - 5 = f. Which is greater: n or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of 2927*n**4 - 5*n**2\/2 + 507*n + 7614. What is the second derivative of z(d) wrt d?\nAnswer: 70248*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 794829 is divided by 87?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 61001 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4850535*k + 4592 = -4850453*k for k.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-40)\/12*(-15)\/(-75). Let s(r) = r**3 + r**2 - 1. Let v be s(0). Which is the closest to n? (a) v (b) 3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(190) - sqrt(190)*1))\/(sqrt(1440) + 2*sqrt(1440)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -3*m**2 + 35*m + 1589. Determine u(-16).\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ytlct. What is prob of sequence yltt?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 41*h**2 + 2*h**5 - 41*h**2 + (-1 + 2 + 1)*(-3*h**5 - 9*h**4 + 0*h**5 + 11*h**4).\nAnswer: -4*h**5 + 4*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of s**5\/120 - 287*s**4\/12 + 82369*s**3\/3 + s**2 + 465*s. Factor k(q).\nAnswer: (q - 574)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 12:46 AM?\nAnswer: 12:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.13203 + -66.522\nAnswer: -66.65403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11c + 0?\nAnswer: -11c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 11:08 AM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27114624?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j. Let l(b) = -26*b - 15. Let n(i) = -l(i) - 2*s(i). Differentiate n(h) wrt h.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2903.\nAnswer: 2903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 883579686 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4761*0.1194\nAnswer: 568.4634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a + 5599 + 5600 - 11199.\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 6. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - ((-4 - 6 - -23) + 14 + -1)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15794902663 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23600, -24034, -24752, -25754, -27040, -28610?\nAnswer: -30464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4204 (base 5) to base 3\nAnswer: 202112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1036846+11.0492795\nAnswer: -1036834.9507205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + g**2 - 3. Let l be x(-7). Let r be -1 + (-18)\/(-22) - 54\/l. Which is greater: -330 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 32*a**2 - 5*a - 3. What is the tens digit of j(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -8*o - 36. Sort 3, 1, o, 4\/7.\nAnswer: o, 4\/7, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 + 4*n + 114. Let h be q(13). Let m be h*3 - (1 + -14). Put m, -2, 7, -1 in descending order.\nAnswer: 7, m, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 556*r + 16.\nAnswer: 556*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -3*sqrt(425))*-4 - (4 + sqrt(425)*6 + -4).\nAnswer: 8 + 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of 17*g**4\/12 + g**3\/6 - 6*g**2. Suppose -4*o = -1 - 3. Is d(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 + i**2 + i. Let u(s) = 35*s**3 - 6*s**2 - 6*s + 11. Let p(t) = -6*n(t) - u(t). What is the first derivative of p(h) wrt h?\nAnswer: -123*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*v - j + 13, 5*v + 34 - 27 = -3*j for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 323*n - 8126. What are the prime factors of l(98)?\nAnswer: 2, 17, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/(-8)*3950\/(-375). Which is smaller: -13 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-10\/11)*z*z\/z**7 assuming z is positive.\nAnswer: z**(-65\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/4)\/((-6)\/12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 62.9445 - 0.0445. Let q = -63 + t. Let h = -1.8 + 1.91. Which is smaller: h or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100101111 (base 2) in base 14?\nAnswer: -179","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -175510*j**3 + 2*j**2 - 51*j + 79850640 with respect to j.\nAnswer: -526530*j**2 + 4*j - 51","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2695, -1, -8 in increasing order.\nAnswer: -8, -1, 2695","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 3\/1223317169?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34614137?\nAnswer: 47, 736471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of 0*x + 71\/30*x**5 - 13\/14*x**7 - 4 + 0*x**3 - 25*x**2 + 0*x**4 + 0*x**6. Find the third derivative of t(b) wrt b.\nAnswer: -4680*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 120.0314 + -120. Let b = f - -3.1186. Round b to 0 decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-51)\/(-9))\/((-1)\/(5 - 2))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 698, 624, 550, 476, 402?\n\"Answer: -74*h + 772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6245110981 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 2*c - 999 = 3*d, 3*c = -4*d + 1524. Suppose -s - 16 = -c. Suppose r - 1715 = s. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -4*t**3 - 5*t**2 - 3*t**2 + 3 + 6*t**2 - 5. Let y(x) be the first derivative of -9*x**4\/4 - 5*x**3\/3 + x**2\/2 - 5*x + 4. What is 2*y(i) - 5*z(i)?\nAnswer: 2*i**3 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, k: 5, q: 1, h: 3}. Give prob of sequence kf.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v**2 - 7*v - 15. Let s(i) = i**2 - 4*i - 8. Let t = 334 + -341. What is t*s(q) + 4*m(q)?\nAnswer: q**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) - (1 + sqrt(252) - sqrt(252)))**2 - sqrt(252)) + -4.\nAnswer: -18*sqrt(7) + 249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 763*k**2 + 6*k - 6. Let r(w) = 6105*w**2 + 51*w - 51. Let z(l) = -6*r(l) + 51*u(l). Let c(q) = 5*q**2. Determine c(z(g)).\nAnswer: 26060445*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1343356 (base 7) to base 4\nAnswer: -223223023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -1573*x + 3. Let t(f) = -4457*f + 10. Let a(m) = -6*t(m) + 17*z(m). Let b(p) be the second derivative of p**3\/6 - p. Calculate a(b(s)).\nAnswer: s - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 92129*z**2 + 4072. Let x(y) = 498*y**2 + 22. Let t(o) = -11*k(o) + 2036*x(o). Let g(v) = v. Calculate t(g(d)).\nAnswer: 509*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2\/37)\/w**(-1)*w**14\/(w*w*((w*w*w**(-13)*w)\/w)\/w) assuming w is positive.\nAnswer: w**(923\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 667083 is divided by 166760.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2. Let w(j) be the third derivative of 0*j**4 + 0*j**3 + 0*j + 3*j**2 + 1\/30*j**5 + 0. Give w(p(z)).\nAnswer: 2*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.39 - -1.61. What is the smallest value in -4, 5, v, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/10 of a litre in millilitres?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -464*c**2 - 41*c**2 - 508*c**2.\nAnswer: -1013*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 7, v: 11, n: 1}. Give prob of picking 4 z.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3790 + 1649. Suppose 2*l + 2*l - z = 5*a, a = -3. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*m - 11*m + 4*i + 135, -2*i = -2*m - 36. Which is the nearest to m? (a) -5 (b) -1\/6 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -4*j + 5*w, -w + 4 = j - 5*w for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-10)\/(-55))\/(15\/33). Which is the second smallest value? (a) x (b) -3 (c) 33.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 9 = 7. Let g be (-2 - 1*(a - 8)) + -1. What is the least common multiple of 7 and 6 + (5\/(-1) + 4)\/g?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*n + n + 2*n)*(75*n**3 + n - 152*n**3 + 75*n**3) to the form q*n + o + w*n**4 + l*n**2 + h*n**3 and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -65027*j**5*p + 405*j**4*p - 12370846*j**2*p - 4*p wrt j.\nAnswer: -3901620*j**2*p + 9720*j*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 269 - 83 = 2*t - g, 5*g = 0. Suppose -95*b + 48 = -t*b. Calculate the lowest common multiple of 24 and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - h**2 - h + 76. Let r be w(0). Let f = r - 381\/5. What is the closest to 7 in 2\/21, f, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/15*3*2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 57.62166 years?\nAnswer: 5.762166","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 8296261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -4*o + 1. Let h = -252 - -617. Suppose 2*d + h = 371. Determine f(d).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - 12)\/(-3) + 25. Let n = -26 + s. Let r be (4 + 7\/(-3))*n. Solve 0*o = -r*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -6038 take away 1?\nAnswer: -6039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = -59*o + 55*o - 2, -11*o = -5*v + 58 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -3*m**2 + 15*m - 3. Let p = -2 - -1. Let l be (-4 - 104\/(-20))*(-30)\/4. Let j(r) = -1. Let u(t) = l*j(t) + p*h(t). Factor u(k).\nAnswer: 3*(k - 4)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((5 + -2*sqrt(468) - sqrt(468)) + (0 + sqrt(468))*1 + -1 + -4*(0 + sqrt(468)) + sqrt(468) + sqrt(468) + -1 + -3)**2.\nAnswer: -44928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 374342 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 - 7*z - 7. Let i = -3 + 3. Let s = 2 + i. Suppose -s*l - 12 = 4*t - 0*l, 5*t = 5*l - 45. What is f(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97676772.\nAnswer: 2, 3, 163, 49937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, h: 1, w: 2, j: 1, q: 2, n: 1}. What is prob of sequence yw?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00009135568 rounded to 6 dps?\nAnswer: -0.000091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43 - -33. Let x(l) = -2*l - 18. Let a be x(q). Solve g + 3 = a for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5 + (-306)\/(5 + 1). Let x = 57 + f. Solve 3*j - x = 4*u, 0*j = 2*u - 2*j + 4 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86547887 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 + z + 1. Let m(q) = -q**2 + 22*q - 19. Let b(k) = -k**3 - k**2 + 2*k - 2. Let c be b(-2). Let t(w) = c*i(w) + m(w). Find d such that t(d) = 0.\nAnswer: -21, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 10 = -2*y, -31*y = -26*y + 10 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 18 = -3*w. Suppose -3*s + 6*s - 6 = -q, 0 = s - 5*q - w. Let v = s + 17. Does 20 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101 = 6*b - 187. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3\/2*b + 25\/4*b**2 + 0 - 7\/4*b**4 - 3*b**3 = 0.\nAnswer: -3, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -148, -151, -156, -163?\nAnswer: -172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-144)*4)\/((25\/5)\/(-10)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + (-19 - -17) + -1.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -290*a**4 + 1198*a**3 - 1308*a**2 + 136*a + 16 = 0.\nAnswer: -2\/29, 1\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 6*t - 32. Suppose 5 = -x, 2*x - 2 = -8*v + 5*v. Calculate the smallest common multiple of v and r(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -174*i + 17. Let q(p) = 353*p - 32. Let l(w) = -4*q(w) - 7*z(w). Let a be (-1 - 3) + 2 - 8. Is l(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1258984*h**4 - 2917865*h?\nAnswer: -15107808*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -46, -121, -196, -271, -346, -421?\n\"Answer: -75*w + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 2 (b) 2.7 (c) -4\/3 (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 67339, 134680, 202021, 269362, 336703?\n\"Answer: 67341*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**4 + 2*g**3 - 6*g**2 - 10*g - 4.\nAnswer: 2*(g - 2)*(g + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 4 + sqrt(7) + sqrt(21)\/sqrt(3) + (sqrt(70)*2)\/sqrt(10).\nAnswer: 7 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38.7 + -37116.176.\nAnswer: -37154.876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 4 - 9)*(734*o**3 - 27 - 33 + 59*o**3 + 60).\nAnswer: -9516*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28 - -7. Suppose -r = 7*l - 14*l. Let d = 54 - 30. What is the remainder when d is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - k = -0*k - 617, -61883*k = 2*x - 61881*k + 254 for x.\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 271\/238 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 119 by -107.\nAnswer: -119\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + 4. Suppose 2*a = 2*l + s, -5*a + l + 33 = 5*l. Suppose -20 - 25 = -5*f - 2*n, -5*n = -a*f + 10. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 82 by -3638.\nAnswer: -41\/1819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, -25\/3, 473, -1\/5, -2, -78?\nAnswer: -78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 4*v = -g - 8, 4*v - 8 = 0. Suppose g = p + 3 - 20. Let z = -12 + p. Solve 0 = -4*x + z*l + 15, x + 2*l - 7 = -0*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -6 + u + 6 + 10 - 1. Is q(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*d + 2*d + d)*(-2 + 4 - 3)*(126*d**2 + 37*d**4 - 126*d**2).\nAnswer: 74*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 577 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-3)\/(-45)*(-160)\/(-48).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 6*x**2 + 164*x + 481. What is j(-8)?\nAnswer: -447","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + -1. Suppose -5*n - 4 = -4*a, 3*a + 11*n - 3 = 10*n. Sort 0.4, z, a in increasing order.\nAnswer: z, 0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12100120001002 + -2?\nAnswer: 12100120001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-17)\/(-15) - 1\/1. Let j = 46044 + -46048. Which is the second smallest value? (a) -3 (b) k (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*o - 2*o - 3*z - 32, 0 = -3*o - 2*z + 23. Suppose -4*x + 19 = o. Suppose 0 = -d + 2*r + 169, 2*r = -4*d + x*r + 711. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 168 and 120?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1026, -2044, -3054, -4050, -5026?\n\"Answer: a**3 - 2*a**2 - 1019*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -205 - -309. Calculate the remainder when b is divided by (-4396)\/(-126) + (-1)\/(-9).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4070 divide 344469081?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 324 - 228. Let t = -63 + b. Which is smaller: t or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 7*y**2 - 17*y - 7. Let t be o(9). Suppose 0 = 4*h + t*h + 6. Calculate the remainder when 30 is divided by 4\/h*-1 + 4.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3074*d**5 + 3*d**2 - 2636*d?\nAnswer: 61480*d**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1853 - 1264. What is the greatest common divisor of 31 and i?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 4:33 PM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 59 - 75. Let i = 51 - h. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 252*z + 249*z + 110 = 512*z for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (56\/(-6))\/(3\/27). Let m = 16 - i. Calculate the highest common factor of m and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n. Let x(c) be the second derivative of 441*c**3\/2 + 2290*c. Calculate i(x(g)).\nAnswer: 1323*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 3, 4, -731, -13.\nAnswer: -731, -13, -2, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -76, -297, -666, -1183, -1848, -2661?\n\"Answer: -74*q**2 + q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-4 + 7 + 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1847175, -1847398, -1847621?\n\"Answer: -223*w - 1846952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11247008315 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (9\/(108\/(-15)))\/(1\/196). Let m = 307 + b. Calculate the remainder when m is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2442 and 60353142.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -111231200 - 11?\nAnswer: -111231211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -32 + 2383?\nAnswer: 2351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 7972?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b + 25. Let u be n(0). Let d = -23915 - -23920. Calculate the highest common factor of d and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 17*o = -16*o + 10, -19*z - 143*o = -145*o - 31 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 184687 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -57 (base 14) to base 8\nAnswer: -115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 0*d**5 - 9 + 2*d**5 - d**5 + d**4 - d**4 - 5*d**5 + 2*d**5 + 2*d**5 + (0*d**2 - d**2 - d**2)*(d**3 - 2*d**3 + 3*d**3) - 4*d**5 - d**5 + 3*d**5.\nAnswer: -6*d**5 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 44.447 and -0.5.\nAnswer: -22.2235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 - 25*k + 70*k.\nAnswer: 45*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000343501681 rounded to 7 decimal places?\nAnswer: -0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1055 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*i**3 + 2*i**4 + 2*i**3 + 6*i + 278 - i**2 + 0*i**4 - 276 in the form x*i + q*i**2 + y + t*i**4 + d*i**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 243571825?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 71 - 71. Solve 4*n - 8 = -l for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -153, -162, -177, -198, -225, -258?\nAnswer: -297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -385799 by -1.\nAnswer: 385799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 5*x - 13 + 89 = -v, -2*v + 1384 = 339*x for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7592536?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.3 from -710876987015007.\nAnswer: -710876987015006.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -1. Suppose 0 = -2*i - i - 3. Let b(k) = -4*k**3 - 2*k + 8. Let h(z) = i*b(z) - 8*o(z). What is the second derivative of h(p) wrt p?\nAnswer: 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2 = -2*u, -3*h - 2*u = -10. Suppose h*v = 3*o - o - 146, 5*v = 2*o - 158. Let a = o - 47. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1406396299 to the nearest integer?\nAnswer: 37502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.215376 rounded to three dps?\nAnswer: 0.215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/77)\/(42\/4 - (-715)\/(-70)).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 392*g = 393*g - 7. Let u(v) be the first derivative of v**4\/4 - 8*v**3\/3 + 4*v**2 + 2*v - 10. Determine u(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11845.23 micrometers in meters?\nAnswer: 0.01184523","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z - 2. Let f(t) = 6*t + 4. Let o(c) = -f(c) - 2*p(c). Let a(u) = -1 - 11*u + 1. Determine o(a(y)).\nAnswer: 22*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 AM and 11:19 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-5)\/m)\/(m*m**(-5\/2)))\/((m\/m**3)\/(m\/(m\/m**6))))**(-2\/41) assuming m is positive.\nAnswer: m**(-7\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 243 divided by -9.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 562 (b) 3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, q: 1, i: 3, l: 2, z: 4}. What is prob of sequence iz?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of -43\/3*n**3 - 45 + 0*n**2 - 39\/5*n**5 + 0*n**4 + 0*n. What is the third derivative of w(r) wrt r?\nAnswer: -936*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -2*u + 8 + 2, -3*u = v - 17. Calculate the least common multiple of u and 11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 - 15. Suppose -43 + p = -5*k. Let x = k - -1. Solve 2*h + 10 = 0, 30 = -4*v - 5*h - x for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 + 30*v - 30. Let s(o) = 2*o**2 - 9*o + 37. Let d be s(3). Suppose -3*k + 13 + 41 = 0. What is the smallest common multiple of t(d) and k?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8326873 >= 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - 2*n + 2. Let a be p(0). Find the third derivative of -47*d**3 + 24*d**3 + 9*d**2 + 7*d**a wrt d.\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -4*o + 38 + 5, -26 = -2*o + 4*r. Suppose -4*g - o + 39 = 0. Let a be (0 - (2 - 3)) + 7. Calculate the highest common divisor of g and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 2312?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-131 + 113 - (-37 - -2)) + -21\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/4)\/(3\/12). Let b = i + 30. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2156*0.22\nAnswer: 474.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*r**2 - 1 + 2 - 26*r**2 - 2 + 129*r**3 - 138*r**3.\nAnswer: -9*r**3 - 19*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 41 = -3*g - 2*s, -s = g - 10. What is the remainder when 18 is divided by g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 918228?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42313?\nAnswer: 17, 19, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13111 (base 11) to base 7.\nAnswer: 105500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7 - 10 + 57*g + 6 + (-3 + 2 - 6)*(4*g - 9 + 9).\nAnswer: 29*g + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 251*j - 766*j + 4 + 327*j + 252*j - 1.\nAnswer: 64*j + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 2*u - 303, 22 - 10 = -2*u. Calculate the remainder when 253 is divided by b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 39 - 39.2. What is the smallest value in 5, 0.01, 0, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 4) to base 15\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 4 + (-13)\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1831*n**3*o + 28696*n**2*o**3 + 30502*o**3 + 2*o**2 + o + 3 wrt n.\nAnswer: 5493*n**2*o + 57392*n*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 586*m**2*n**3 + 2*m**2*n - 11*m**2 + m*n**3 + 12*m*n + 7*m + 140*n wrt m?\nAnswer: 1172*n**3 + 4*n - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 8 - 2 = 0. Let n(d) = -12*d**2 - 62*d - 10. Let a be n(-5). Find the third derivative of 11*u**5 - 20*u**2 + 5*u**5 - u**w + a*u**5 wrt u.\nAnswer: 900*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v\/v**(-1\/21))))\/(v*v*v\/(v*(v**(1\/7)*v)\/v*v))*((v*v**(-4\/9))\/v)\/v**14 assuming v is positive.\nAnswer: v**(-898\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 3*f + 144 = g, 0 = g + 3*f - 36. Calculate the highest common factor of 12 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**12\/r)\/r*r**(24\/11)*((r\/(r*r\/(r\/(r\/((r*r**2*r)\/r*r))*r*r))*r*r)\/r*r)**(-2\/27) assuming r is positive.\nAnswer: r**(3464\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 PM and 11:03 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37424 is divided by 37222?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ux when two letters picked without replacement from {u: 2, j: 1, m: 4, k: 4, n: 1, x: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2603 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1322 + 9861. What is the thousands digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -30*f. Let v(b) = 16070441*b. Determine v(u(d)).\nAnswer: -482113230*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus -0.66156?\nAnswer: 0.16156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2983372 is divided by 1541.\nAnswer: 1537","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 8*d = 0. Suppose 5*h = -3*v - 232, 2*h + 153*v = 150*v - 82. Put h, -1, d, -5 in descending order.\nAnswer: d, -1, -5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 773384 to the power of 1\/2, to the nearest integer?\nAnswer: 879","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 3*g = 29 + 10, 125*g - 124*g - 13 = 0. Suppose -32 = -0*b - 4*b. Which is smaller: c or b?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus 0.0013?\nAnswer: -3.0013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5 - 6)*1 - (-25 - -16). Let n(j) = 2 - j + 8*j - 5*j. What is n(r)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 8.491467 centimeters?\nAnswer: 0.00008491467","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -6\/17, 16, -3\/7, 2 in descending order.\nAnswer: 16, 2, -6\/17, -3\/7, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -74\/14787 and -21\/27931.\nAnswer: 251379","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w - 2*k + 6, w - k = -0*k + 3 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*u**2\/5 + 584*u\/5 - 194\/5.\nAnswer: -2*(u - 97)*(3*u - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -784 + 784.0762. What is d rounded to three dps?\nAnswer: 0.076","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-650)\/(-2268) + 2\/(-7). Let s = -1139636\/161 + 368968157\/52164. Let b = s + q. What is the common denominator of b and 11\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.2, 13\/5, -58, 2587?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -385 = -16*c + 95. Suppose 32*r = c*r + 80. Is r a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.03, 1\/495, 2, -3, 7\/5, 2\/7?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 22 + -21 + 49 + -79\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -909*k - 1776. Let v(h) = -57*h - 111. Let y(i) = -2*p(i) + 33*v(i). Find the first derivative of y(z) wrt z.\nAnswer: -63","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 782 = 5*t + 3*r - 1117, 3*r = 2*t - 747. Calculate the highest common divisor of t and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2787*i**2 + 2. Let q(c) = 8361*c**2 - 7. Calculate -7*g(f) - 2*q(f).\nAnswer: 2787*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, p: 7, x: 2, b: 3}. What is prob of sequence xpj?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, o: 6, g: 2, q: 4, u: 3}. Give prob of picking 2 g.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, n: 3, h: 3, y: 3, q: 2, k: 3}. What is prob of sequence kd?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + p + 99 = -h, -3*h - p = -293. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.1362248 to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence exxe when four letters picked without replacement from xxexxxxxxxex.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -y - 5, 5*y - 96 = 5*q - 46. Which is the second biggest value? (a) 1 (b) -0.2 (c) 4 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 15 = -g, 0 = 4*x - 0*g + 4*g - 36. Suppose x*d - 126 = 14*d. Let h = d + 111. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7)\/(21\/(-6)) - 2. Suppose d = -2*y - 4*w + 1087 - 93, -4*y - 5*w + 1973 = 0. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 9, -4, 4 in descending order.\nAnswer: 9, 4, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -433591.8747 rounded to the nearest 1000?\nAnswer: -434000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 94107 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 5946*c + 17920. Give y(-3).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -816*s + 821*s = 110 for s.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 886 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6*(-427)\/366)\/(217\/2)?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 229, 277, 325, 373, 421?\nAnswer: 469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -114051191498 + 149.\nAnswer: -114051191349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112759 is divided by 508?\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14254 divided by 2.\nAnswer: 7127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.041 + 0.159. What is the nearest to 0 in 3\/4, z, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.9 - 6.1. Put 1, j, -0.5 in decreasing order.\nAnswer: 1, -0.5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 111 - 94. Let o = v - 17.1. What is the smallest value in o, 6, 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 1\/2, 5, -1\/194 in increasing order.\nAnswer: -1\/194, 2\/5, 1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -16*y**2 + 77*y + 5. Let d(p) = 16*p**2 - 77*p - 4. Let c(i) = -5*d(i) - 4*t(i). Find the second derivative of c(r) wrt r.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*l**2 - l**2 + 5*l**2)*(-l + 54297 - 2*l**2 - 54181 + 3*l**2) as d + f*l**3 + s*l + o*l**4 + g*l**2 and give g.\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 214536 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 31301.841154 take away -1798?\nAnswer: 33099.841154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.294 minus 1.2?\nAnswer: -0.906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 230 + -925\/4. Let o = 69 - 208\/3. Let j = 138 + -137.6. What is the biggest value in j, z, o?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) -3 (b) 0.4 (c) -2\/5 (d) 2\/33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (29 - -2) + -1 + 2. Let j = w - 0. List the prime factors of 1104\/j + (-1)\/2.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 34 + -30. Suppose 30 = -6*x + l*x. What is the units digit of 6\/x - (-44)\/10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 8\/(-60) + 22\/(-60)\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 5*k - 2*k + (3*k - 2*k + k)*(-3 + 2 + 2) + 5 - 5 - k + 1 - 2*k - 1)*(3 + 0 + 0) + (-1 + 0 + 0)*(3*k - 6*k + 2*k) + 0*k + 2*k - 4*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 93, 224, 385, 576, 797, 1048, 1329?\n\"Answer: 15*k**2 + 86*k - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16449\/8 - 2044. What is the common denominator of a and ((-1)\/8)\/(1\/(-106))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 8 + -1 - 11.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from svvvvs. What is prob of picking 4 v?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide (300\/7*-2)\/(146\/(-1533))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 400441440195 and -49.\nAnswer: 400441440146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 498*t**2 - 1 - 487*t**2 + 2 to d*t + c*t**2 + j and give c.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 803356435*m**3 + 486478372 wrt m.\nAnswer: 2410069305*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*r - 116*r + 135*r.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -70 * -628.\nAnswer: 43960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -u - 3*g, -2*u - 3*u + 37 = -3*g. Suppose -4*f + 104 = 5*c - c, -f = u*c - 110. Calculate the remainder when c is divided by (-17 + 2)*2\/(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-48)\/(-12) - (0 - -3))\/39. What is the second smallest value in 1\/3, r, -0.4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16605283 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j**2\/4 - 63*j\/4 + 57\/2 = 0.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -84 + 1 + 285\/(-57). Which is greater: z or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 a when four letters picked without replacement from llcllwwddwldcwdalddd.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -5 (b) 0.082 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of r**6\/720 - r**4\/6 - 3*r. Let w(a) be the third derivative of q(a). Let d(m) = 0*m + 0*m - 2*m**2. What is w(d(i))?\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 3*g - g + 232, g + n = -122. Find the common denominator of (237\/g)\/((-12)\/(-30)) and -13\/10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 6. Let u(m) = -6*m**3 - 4*m + 7. Let a(r) = -106 + 36 + 17 + 4*r**3 - 5*r**3 - r + 21 + 33. Give s*a(h) + u(h).\nAnswer: -h**3 + h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 24345691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 2\/9, 2\/3, -0.05?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i**2 + 1. Let b(l) = l**2 - l. Suppose 0 = -0*d + 7*d - 7. Calculate d*j(m) - 4*b(m).\nAnswer: -2*m**2 + 4*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1c9 (base 13) in base 6?\nAnswer: 1314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1822 divided by -23397\nAnswer: 1822\/23397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*s**2 - 1193*s + s**2 - 1243*s + 2436*s + 3*s**2.\nAnswer: -31*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 486907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 28604, 57303, 85986, 114647, 143280?\n\"Answer: -t**3 - 2*t**2 + 28712*t - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*r**3 + 4*r**3 - 19*r**3 + 3*r**3 - 29*r**3.\nAnswer: -59*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 5*n = 5*l - 295, -n + 54 = 2*l. Calculate the remainder when n is divided by 19.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 3*z + 2, -z - 11 = -p. What is the derivative of -p*u**4 - 67 - 18*u**4 + 50 wrt u?\nAnswer: -96*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29.0385960162 + -0.0024989862. Let w = f - 17.13609802. Let k = w - 11.9. Round k to seven decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -415, -361, -291, -205, -103?\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -71753, -141824, -211895, -281966, -352037, -422108?\nAnswer: -492179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 190.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 413 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -41494039\/284 - -146106. Find the common denominator of -59\/6 and k.\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 770.1 + 26.268\nAnswer: 796.368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2703 - -1538358.\nAnswer: 1535655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.5, 1, 380\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 17 + 13 = 0. Let m be 3*-1 + (b - -2). Let d(s) = s**3 - 3*s**2 - 5*s + 7. What is the tens digit of d(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.1, 7\/6, 4, 66, -8, 10?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1268 divide 659360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 98040, 197907, 297774?\n\"Answer: 99867*t - 1827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.02879mm to micrometers.\nAnswer: 4028.79","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*t - 11*t**2 - 94*t**4 - 189*t**4 - 4*t + 33*t**4 wrt t?\nAnswer: -6000*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 590*z**5 - 23*z**2 + 18.\nAnswer: 35400*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**2 - 9685740*w - 4690677967380.\nAnswer: -5*(w + 968574)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.71061 rounded to 2 decimal places?\nAnswer: -0.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 47, 8, -31, -70, -109?\n\"Answer: -39*p + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 12:49 PM?\nAnswer: 6:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18\/59? (a) 0.2 (b) 0.5 (c) -4 (d) -1.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 85774 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 428 and 4708.\nAnswer: 4708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*x + l - 81 = 0, -94*x + 183*x - 94*x - 5*l + 220 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -16 - -15 - (1 - -1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 41872869433 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 496228923 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 7) + (6 - (5 - (-16 + 7)))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16114 - -21573. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70006883 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g**3 + 489*g - 513*g - 10*g**3)*(-9*g + 0*g + 3*g).\nAnswer: 36*g**4 + 144*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 110613506 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30273707 and 786?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-53*b**2 - 31*b**2 + 14*b**2)*(1 + 2 - 5)*(0 + 2*b**2 + 0).\nAnswer: 280*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5 + -2)*(0 + -1). Suppose 5*p + 4*b + b = 100, 3*p + 4*b = 56. Calculate the common denominator of 37\/5 and (-140)\/p - 1\/l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(12\/(-20))*(-4 + (-287)\/(-35)). Solve -o*d - 215 = -201 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -403\/4, 1, -1\/11, 0.4?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + 55063?\nAnswer: 55062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of 2*n**2 + 35*n - 32. Let t be o(-8). Solve t*x + 5*i = 19, 2*i = -2*x + 6*i - 24 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-7*(-60)\/(-315)). Suppose -5*g + 7 = -0*x + 3*x, -2*g = 3*x - 1. What is q in 1\/3*q**c - 4\/3 + q**g + 0*q = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, p: 1, a: 3, h: 2}. What is prob of picking 2 h and 1 p?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, i: 4, z: 3}. What is prob of picking 4 t?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 95 - 124.2. Let s = x - -34.06. Let i = -0.14 - s. What is the smallest value in -2\/11, 0.4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 269087047 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*l + 29464 = -47822. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40250, 161010, 362282, 644066?\nAnswer: 1006362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -4*f + 55. Suppose f = h + 2*x, 0 = -x + 2. List the prime factors of h.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -9*w**5 - 2464*w**4 - 15508*w**3 + 208642*w**2 + 173101*w - 48594 = 0?\nAnswer: -267, -13, -1, 2\/9, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/320*8)\/(5\/(10\/3))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-122)\/8 + 2\/8. Let j = 19 + q. Suppose -3*m = 3*g, m + 10 = 4*m + g. Solve j*a + 19 = m*o, o - 6 + 4 = -a for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(2*4\/(-16)). Let a(p) = p**3 + 9*p**2 - p - 6. Let y be a(-9). Let z be (-20)\/(-15)*y\/(-7). Is z >= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 3*v - 2*v - 24, v - 54 = 5*c. Let z be (-24)\/c*10\/(-3). Let m(h) = h**3 + 8*h**2 - 8*h - 7. What are the prime factors of m(z)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -n**2 - 16*n + 55*n**4 - 64*n - 8*n wrt n.\nAnswer: 1320*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q + q - 27 = 0. Solve q*j = 4*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-77)\/(-21)*(-4)\/(-44))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -137 + 961\/7. What is the third biggest value in -0.09, -1\/3, i?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(576)\/(sqrt(36)\/sqrt(3)).\nAnswer: -4 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c041 (base 15) in base 12?\nAnswer: -4492a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 4*r = -0*c - 7, 2*c = r + 7. Suppose 0 = -5*m - g + 1059, -5*g + c = 8. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**5\/5 - 22*g**4\/5 - 66*g**3\/5 - 18*g**2\/5 + 108*g\/5 = 0. Calculate g.\nAnswer: -6, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1356407 (base 8) to base 14\nAnswer: -a0075","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/99 and 49\/9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-9354)\/(-4))\/((-102)\/(-136)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 3:27 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - 3*x. Determine f(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w + 16. Suppose 5*j = 4 - 14. Is t(j) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 8\/14 - (-5872)\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -144*f - 5. Let l(p) = 72*p + 2. Let i(o) = 4*b(o) + 9*l(o). Let c be i(1). What is the greatest common factor of c and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118 is divided by 25.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -79\/30 + 27\/10. Let x(n) be the second derivative of -w*n**6 + 3*n - n**2 + 0*n**5 + 0 + 0*n**4 + 0*n**3. Find the first derivative of x(l) wrt l.\nAnswer: -8*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-194)\/(-1 + 0) - 4. Let z = g + -492. Let c = z - 255. What is c rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*c + 57*c + 1120436 = 0. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -45411 by -6.\nAnswer: 15137\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2715563 and -3.\nAnswer: -0.8146689","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.032558056 to four dps.\nAnswer: -1.0326","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 5) to base 8\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/2 (b) -1.1 (c) 2\/3 (d) 1 (e) -39.38\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/29451179?\nAnswer: 2\/29451179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(625)*-2 + (3*sqrt(225))\/sqrt(9))\/(sqrt(5) - (sqrt(80) - sqrt(80)*-1) - -3*sqrt(20)).\nAnswer: 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -34 + 47. Let j = 78604 + -78567. Calculate the remainder when j is divided by c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4374054 and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a millennium in years?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 94380 (base 10) to base 8\nAnswer: 270254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 18\/21 - (-3614)\/(-182). Is -74 >= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -404 + 431. Sort -3, -4, x, 5 in increasing order.\nAnswer: -4, -3, 5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 5 + -14 + (12 - 16).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in -3\/7, -3, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/10 - (-396)\/20. Suppose -4*o - s = 0, 18 - 190 = -2*g + 4*o. What are the prime factors of g?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 2*t + 5. Suppose 10*y + 4*g = 5*y + 128, 3*y + t*g = 82. Let i = y - 22. Solve 11 = -i*l - 3*r, -2*l + 18 + 1 = -3*r for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*b + b + 6*b + 2*b + 2*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = 7*q + 4*y, -2*q - 15564*y = -15567*y + 17 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 50345 - 29122. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81 + 81 = 18*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3213479 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-250)\/(-200)*1\/(55\/6).\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -44263293 at most -0.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15*s**2 - 3*s + 934.\nAnswer: 30*s - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*u**2 - 37*u**2 + 14*u**2 - 3 + (u + 2*u - 4*u)*(-4 + 4 + 2*u))*(-2*u + 1 - 1).\nAnswer: 14*u**3 + 6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 236 + -141. Suppose 0 = 6*i + 13*i - f. Let v(s) = -3*s + 5. Calculate v(i).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dtoadnaaottotoaatfaa. What is prob of sequence ono?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 51220*h - 47. Is p(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/25067304 and -103\/8355768?\nAnswer: 25067304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 + -113.6.\nAnswer: -109.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5440\/(-640)*3\/(9\/6)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 6*z**3 - 2*z**2 - 2. Let y(v) = -3*v + 3. Let l be y(-3). Suppose 5*s + l = 9*s. Is d(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 135019 (base 10) to base 15.\nAnswer: 2a014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15413 is divided by 253.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 832 - 1258. Let v be (-2)\/10 + l\/(-30). Let x(b) = -b - 6. Let u be x(v). Round u to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/10 and -9\/89?\nAnswer: 890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 103549609 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/624 and 1020\/(-528) + -12 + 2\/11?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 5*w - 4*x, -x + 8 = -5*x. List the prime factors of (w + 40)\/(-3)*-8.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 + 16*s - 8. Let w be h(14). Suppose -w + 50 = 5*l. Solve 3*g = l*j - 2*j - 9, j = 4*g - 1 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 18*v**3 - 21*v**2 - 2*v + 2. Let q(m) = 36*m**3 - 43*m**2 - 5*m + 5. Let k(o) = -5*l(o) + 2*q(o). What is the third derivative of k(r) wrt r?\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 301896694 to the power of 1\/3, to the nearest integer?\nAnswer: 671","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 203*q**2 - 114*q**2 + 495*q**2.\nAnswer: 584*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*n**3 + 3*n + 7*n**3 + 0*n.\nAnswer: 17*n**3 + 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 (base 11) in base 4?\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 51213306 (base 7) to base 13\nAnswer: b67957","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*a - 0*a + 21. Suppose 0*w + w - 6 = 0. Suppose g = w*g. Solve -9 = a*s - g*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1257 - 0?\nAnswer: 1257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 26 - -113?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 107314 + 10563. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lnnl when four letters picked without replacement from nlllnwl.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122483286?\nAnswer: 2, 3, 2268209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, 0, 2, 5.2, -0.5 in descending order.\nAnswer: 5.2, 2, 3\/4, 0, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.01 - -1.99. Let k = -1 - h. Which is the biggest value? (a) -3\/5 (b) k (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -69*0.4\nAnswer: -27.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*w - 21 = 14*w. Let h(s) = -97 + 4*s**w + 49 + 49 + s. Calculate h(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -0*b - b + 17, 15 = -3*k. Suppose -b*x + 3*x + 74 = 3*a, -a + 18 = -2*x. Suppose o + 52 = 3*o. What is the greatest common divisor of a and o?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 170 (base 13) to base 14\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 0 + 657 + (24\/(-6))\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 983 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53, -88, -153, -254, -397, -588, -833?\nAnswer: -1138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 6*h - 3. Calculate k(-7).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x**2 + 1000*x - 5. Let q(l) = -2*l**2 - 1002*l + 4. Give -5*f(j) - 6*q(j).\nAnswer: 2*j**2 + 1012*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, j: 6, z: 1, f: 1, a: 3}. Give prob of sequence aaa.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69337?\nAnswer: 69337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 81 and 351?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149 + 282 - 134 + 872*h.\nAnswer: 872*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3 + 280*a**2 - 13962*a.\nAnswer: 2*a*(a - 39)*(a + 179)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 PM and 11:00 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -358 or -69?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -64 + 10673122?\nAnswer: 10673036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 14*o**3 - 11*o**2 - 11. Let r be 12\/(-2) - 10\/(2 + -3). Let z(n) = -5*n**3 + 4*n**2 + 4. Determine r*i(m) + 11*z(m).\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 37*w**2 + 121*w + 134. Let q be p(-40). Calculate the greatest common divisor of q and 23970.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + 2 + 2)**2 + -4.\nAnswer: 8*sqrt(2) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1*sqrt(85)\/sqrt(5))**2 + sqrt(51)\/(sqrt(300)*-3 - sqrt(300)) + 3.\nAnswer: -sqrt(17)\/40 + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of 0 + 53\/20*h**5 - 1\/30*h**6 + 0*h**3 + 4*h**2 - 5\/12*h**4 + 10*h. Find the third derivative of d(f) wrt f.\nAnswer: -24*f + 318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7030, -14708, -22386, -30064, -37742?\n\"Answer: -7678*q + 648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 - 8*s**2 - 8*s - 10. Let h be g(-7). Let l be (-31)\/h*3*5. Let v = -136 + 198. What is the greatest common factor of v and l?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/18 - 556\/(-12). Which is smaller: d or 48?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 883623?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1050 - -95.6318\nAnswer: 1145.6318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1426 and 136877462.\nAnswer: 1426","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*u - 5*u = -3*g - 161, 2*u + 195 = -5*g for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -364150 (base 11) to base 12\nAnswer: -239757","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**1)**47)**44\/((((o*o**(1\/6)\/o)\/o)\/(o**(1\/2)\/o))\/(o\/((o\/(o\/(o**(2\/7)*o)))\/o)*o**(-6))) assuming o is positive.\nAnswer: o**(43324\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 3)*(h + 1 - 1) + (3 - 6 + 1)*(177 - 5*h + 11*h - 5*h).\nAnswer: -h - 354","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 775, 797, 829, 871, 923?\n\"Answer: 5*y**2 + 7*y + 763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10 + 10 + 5*k)*(-2*k + 0*k + 0*k)*(336 - 20 + 0) to l + z*k**2 + p*k and give z.\nAnswer: -3160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**5 - 8840*v**4 - 124128*v**3 - 106444*v**2 + 124126*v + 115284 = 0.\nAnswer: -13, -1, 1, 4434","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 PM and 2:10 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - 7. Let d be (-26)\/b + (-24)\/(-84). Suppose -8*u = -d*u - 88. Calculate the remainder when 108 is divided by u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -c6511b (base 13) to base 15\nAnswer: -619390","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(-34))\/(s\/(s\/s**(2\/33))))\/((s*(s*s\/(s*s*s**(3\/20)*s))\/s*s*s*s)\/s**27))**43 assuming s is positive.\nAnswer: s**(-224503\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(sqrt(10)\/sqrt(2)) - 4*(1 + sqrt(7))**2.\nAnswer: -32 - 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 4*x + 284 = 0, 5*k - 478 - 187 = -5*x. Let y = 374 - k. List the prime factors of y.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 61 + 3e?\nAnswer: a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 356 in -0.04, 7, -1.6?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 31*i - i**4 + 171 - 34 - 30*i + 68*i with respect to i.\nAnswer: -4*i**3 + 69","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5454930.7 to the nearest one hundred thousand.\nAnswer: -5500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (2*sqrt(3520)*4)\/((sqrt(30)*2)\/sqrt(6)*5))*1.\nAnswer: -4 + 32*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**6)\/(k\/(k**(8\/9)\/k))*k**0\/(k\/(k*k**10\/k)) assuming k is positive.\nAnswer: k**(134\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29017735\/176 - 164874. Let v = -1\/2288 + -56053\/6864. Calculate the common denominator of v and h.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0361 - -0.036353. Round i to 5 decimal places.\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2\/3 - 315599*q\/3 + 236706.\nAnswer: -(q + 78902)*(4*q - 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*v - 2\/3 + 38\/3*v**2.\nAnswer: 2*(v + 1)*(19*v - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1025.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 323 is divided by 99?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-3*sqrt(175)*1 + -2) + (sqrt(175) - 6*(3 + sqrt(175)) - (-1 + sqrt(175)*-4)))**2.\nAnswer: 5510*sqrt(7) + 64016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6190 - -13473. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of s**5\/3 + s**4\/4 - 2*s**3\/3 - 24*s**2. List the prime factors of w(3).\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15*(-8)\/112*-28*4\/96\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-915)\/(-549)*((-6)\/(-10))\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, d: 2}. What is prob of picking 1 v and 1 d?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 4305.5 hours?\nAnswer: 15499800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/18 and -43\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*t + 3*c + 189 - 535 = -260, 2*t - 5*c - 20 = t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3277*r = 222*r + 389*r - 77760 for r.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - ((5 - 1) + -4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, w: 2, i: 1}. What is prob of sequence wxx?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2037742 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14371502 (base 9) to base 16.\nAnswer: -6cd70f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66364 is divided by 4403.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6825872 by 4.\nAnswer: -1706468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -5*b - 4315 + 4315. Let f be j(2). Let t be ((-12)\/5)\/(f\/25). Solve -3 = z + 3*m - t, -3*z = 5*m - 9 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 + 5 + 2*u**3 - 5*u**2 - 2*u**2 - 3*u. Let j be o(5). Calculate the highest common divisor of 10 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 27456 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 37542 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1053324.9 take away 390?\nAnswer: 1052934.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 46326157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*o = 20*o - 14*o - 645750. List the prime factors of o.\nAnswer: 3, 5, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert d5 (base 15) to base 8.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16492 is divided by 16482.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/3 or 131?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48482.\nAnswer: 2, 7, 3463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8693663, 17387328, 26080995, 34774664?\nAnswer: 43468335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 80034, 160173, 240300, 320409, 400494?\nAnswer: 480549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 502416 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 821963599 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 - 19 = 10*c + 10 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (20 - (10 - 18)) + -13?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + -4. Let r = t - -8.2. What is the closest to 1 in r, 0.5, -1\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27091 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (63\/196)\/(((-30)\/(-15))\/((-4)\/3)).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - -110011?\nAnswer: 110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 568 - 550. What is the remainder when 122 is divided by r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 224287 to the nearest integer?\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1103 - 100?\nAnswer: 1003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 2*k = -3*r + 7, -4*k + 7 = r. What is the closest to -3 in -1, -0.2, r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence feb when three letters picked without replacement from {e: 1, d: 1, g: 5, b: 3, f: 4}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of s**4\/4 - 7*s**3\/3 + 7*s + 18. Determine t(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (-10 - -10) - -4) + 13?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -15*u**3 - 544*u**2 - 33*u - 22. Let k(a) = 4*a**3 + 136*a**2 + 9*a + 6. Calculate 6*h(d) + 22*k(d).\nAnswer: -2*d**3 - 272*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1108 is divided by 74.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6555 - -6555.17. Let i = 14.87 - 15. Let f = p - i. What is the third biggest value in -5, -0.5, f, 2\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 35, -3, -7, 1\/2 in ascending order.\nAnswer: -7, -3, 1\/2, 19, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + 4*n**2 + 9*n + 7. What is j(-4)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2772 and 2016.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -8*l - 10. Let u = -43 + 30. Let i = -18 - u. What are the prime factors of a(i)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + 25*g**2 - 22*g - 52. Let r be f(24). Let m(d) = d**2 + 7*d + 8. Give m(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 + (-52)\/(-24))*(-16)\/(-148). Put 2\/11, -0.3, 1\/5, g, -17 in decreasing order.\nAnswer: 1\/5, 2\/11, g, -0.3, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/(-20))\/(4\/60). Find the first derivative of -2 - 3*a**2 - 3 + 11*a**k + 3*a**2 wrt a.\nAnswer: 33*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 5*j**2 - 3*j + 2. Let u(z) = -6*z**2 + 4*z - 5. Let k(t) = t**2 - t + 2. Let s(i) = 2*k(i) + u(i). What is 2*n(l) + 3*s(l)?\nAnswer: -2*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 28982756 to the power of 1\/5, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 214996 and 256?\nAnswer: 13759744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}