diff --git "a/data/dm_maths/full_data_1/10276_11255.jsonl" "b/data/dm_maths/full_data_1/10276_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10276_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let x(u) = 28*u + 1642. Give x(-80).\nAnswer: -598","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -218347620 take away -0.17?\nAnswer: -218347619.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0, -0.5, 54, -5\/503?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 20\/11, 4, -1, 0.143, 1, -0.4 in decreasing order.\nAnswer: 4, 20\/11, 1, 0.143, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + m - 5*m - 2 = 0, -3*j + 3*m = 12 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 - 16*c - 65. Let k(m) = 3*m**2 - 34*m - 159. Let n(f) = 2*k(f) - 5*r(f). Give n(-12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -c**4 + 3 - 3*c**4 + 174*c**2 - 190*c**2 in the form x + q*c**2 + m*c**3 + l*c + k*c**4 and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 103047 and 1764?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1035 = -369*r + 162*r. Put -1, -4, r, 6, -10 in ascending order.\nAnswer: -10, r, -4, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -7. Suppose -61 - 81 = -y*t + 5*z, 0 = -3*t - z + 97. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146717639.\nAnswer: 19, 41, 127, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3692 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 5*i = 20, 2*i = 50*x - 55*x - 15. Is -25\/18 != x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 0*t - 5*t = -340, 2*i + 136 = -4*t. Let f = 275\/4 + i. Let c = 0.2 + -0.1. What is the nearest to 1 in f, c, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -4*y**3 - 23*y**2 + 27*y + 244. Give a(-5).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/4*1086\/(-11403)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 94246561?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.146 and 0.4.\nAnswer: -0.0584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 9*d + 10*d + 4*d - 5*d - 1. Let o be p(2). Let a = -18 + o. What are the prime factors of a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -5*n**2 - 1331*n - 7889. Give i(-6).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 13) in base 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 11:07 PM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 1333\/14, -2\/15, 2, -57?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 41 = 17. Suppose -2*v + r = 2*z, -2*z - z + 9 = v. Let u be (-1 - z)*(-6)\/4. Solve u*f = f - 5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -621, 2, 47, 3 in descending order.\nAnswer: 47, 3, 2, -621","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6423 + 6484. Calculate the remainder when n is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 24588\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3003 * 0.1\nAnswer: -300.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 0.1 (c) 3 (d) 1\/50\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 916958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/((8\/28)\/((-4)\/(-7))). Suppose 48 = 3*t - 7*t - p*s, -3*t - 2*s - 31 = 0. Let o = t - -64. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2562000 to the nearest 100000.\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.016487 centuries to millennia.\nAnswer: 0.9016487","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 19 - 5 = 3*v, 3*s = v + 72. Let n = s + -30. Let c(q) = -q**2 - 8*q - 7. Let j be c(n). Solve 0 = x - j*x - 2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of 524*s**3\/3 - 2*s**2 - s - 29. Is l(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*d - 41*d - 2*d - 8*d.\nAnswer: -42*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 64*m**2 - 11*m - 5. Let a be x(-6). Let s = 4158 - a. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.017087 to three decimal places.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 9 = -1. Suppose 4*r = j*p + 20, -r - 5*p = r + 2. Suppose 6*k = 4*k + 26. Solve r*b - 3*g + k = 6*b, -2*g + 9 = b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102020210 - 1221212?\nAnswer: -111012122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -2 - 2) + (4 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 6 + 31 = 0. Suppose 0 = u - 5*g - r, -6*u + 40 = -u + 4*g. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 153 + 3268\/(-456)*12.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-127 - -142) + 8 + -25\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -138, -445, -752, -1059?\nAnswer: -1366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -60, -178, -406, -780, -1336, -2110, -3138?\nAnswer: -4456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 4) + -6 - (-3 - -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - -4. Put -1\/5, -1, h in ascending order.\nAnswer: -1, -1\/5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2575, 2537, 2491, 2437, 2375?\n\"Answer: -4*a**2 - 26*a + 2605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 230 and 154790.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-21) - (-22)\/(-6776)*-12. Which is the closest to -2\/23? (a) 5\/7 (b) -1\/4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -418147291, -418147293, -418147295, -418147297, -418147299, -418147301?\nAnswer: -418147303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -4*p**2 + 40*p - 36 = 0.\nAnswer: 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2403684*u + 4807396*u - 2403697*u.\nAnswer: 15*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/4 of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a hour in seconds?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z + z - 5*z)*(1 - 4 + 0) + (-2 + 4 + 0)*(6 - 6 - z).\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide 61653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (((sqrt(275)*-1 - sqrt(275)) + sqrt(275) - sqrt(275))*2)**2.\nAnswer: 4400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40 + -25. Let w = 68 + z. Find the second derivative of -3*m + 3*m + 3*m + 3*m - w*m**4 wrt m.\nAnswer: -36*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 + 8*q + 30. Is 10 a factor of i(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -302*m + 295*m = 14 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19110 and 22932?\nAnswer: 114660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (173 - 173 - 74*b)*(1 + 5 - 3) - 2 + 1 + 0 - 5*b + b + b - 6*b + (2 - 2 - 1)*(-2*b - 2*b + 6*b) - 2*b - 3*b + 6*b - b - b + 4*b.\nAnswer: -230*b - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95898 (base 10) to base 16.\nAnswer: 1769a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmhmmmmmmemg. Give prob of sequence ehmg.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - -9 - 19) + -9 + -2 + 1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*a**3 - a**4 + 5*a**2 + a**2 + a + 0*a**2 - 5*a**2 in the form n*a + y*a**4 + g + h*a**2 + t*a**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 92.47546 millilitres?\nAnswer: 0.09247546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(-20) - 6\/15. Let a(o) = 2*o**2 + o + 45. Calculate the remainder when a(l) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 73033, 72967, 72835, 72619, 72301, 71863, 71287?\n\"Answer: -3*f**3 - 15*f**2 + 73051","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + -10. Let g = i + 16. Suppose -k - 4*k = 2*s - 12, 4*s - 6 = -k. Calculate the least common multiple of k and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 16, 29, 60, 115, 200, 321?\n\"Answer: d**3 + 3*d**2 - 3*d + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3830.\nAnswer: 2, 5, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 0. Let c = 2.4 - g. Let f = 34 + -34.04. Put -0.4, c, f in decreasing order.\nAnswer: c, f, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 PM and 1:14 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 704 + -701. Suppose -u*s - 2*l + 10 = 0, -24 + 4 = s - 4*l. Let r = -0.059 - -0.092. Is r <= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - z - 2*z + 1, -z = p - 2. Solve -7 + 2 = p*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, -4, -2, 89792, -5, 1 in ascending order.\nAnswer: -5, -4, -2, 1, 2, 3, 89792","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 588\/1080 - 32\/72.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0166 + 0.84\nAnswer: 0.8234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 37 + (0 - -22 - 39)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-37)\/185*-30 - (-37)\/(-4)\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, d: 7, q: 5, m: 6}. What is prob of picking 1 j and 2 d?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1891 is divided by 1816?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 40 = -5*n, 6 = -5*i - 4*n + 1. What is the first derivative of 4 + 2*z**3 + 4*z**i - 8 wrt z?\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + 8*s**2 - 21*s + 58. Let q be t(9). Let d = q - -214. Find m such that 2\/3*m**3 - 2\/3*m + 1\/3*m**d - 1\/2*m**4 + 1\/6 = 0.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 217*l - 194*l - 161 = 0 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -301, -207, -113, -19, 75?\nAnswer: 169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 446 - 523 - (-12 - 16).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -868*s**2 + 868*s**2 + 41*s**5 + (-s**3 - 3*s**3 + 2*s**3)*(0*s - s**2 + 0*s).\nAnswer: 43*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 - (-2 - -1))\/((-6)\/32). Solve -5*u - 2*k - 3 = 0, 2*u = -2*u + 3*k + j for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/4*(-56 - (-3116)\/76 - (-23 - -2))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*x - 1 + x + 1 as n + y*x and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*z = -3262*t + 3259*t + 61, -2*z + 3*t - 5 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.0187 + -3.018687658. Round k to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 182 and 56147.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 834750 is divided by 166834?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nyntttyyt. What is prob of picking 2 y?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c**3 - 2*c**2 + 2. Let h be l(-2). Let i(p) = -h*p + 4*p + 5*p. Let r(t) be the second derivative of t**3\/3 - 2*t. Determine r(i(d)).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o and 1 x when four letters picked without replacement from {x: 9, o: 3}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 142.159294 less than -0.4?\nAnswer: -142.559294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-4 + -2 + (sqrt(1331) + 6*(sqrt(1331) - (2 + sqrt(1331)) - sqrt(1331)) + sqrt(1331))*5 + -4)**2 + -5).\nAnswer: -1074590 - 61600*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/1929 and -14\/11.\nAnswer: 21219","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 times -34563?\nAnswer: -1244268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -160*f + 81*f + 80*f - f**4 + 1 - f**2 to the form o*f**4 + c*f**2 + p + s*f**3 + x*f and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.4+180609168.121\nAnswer: 180609167.721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 10 = -3*k + 13, 8 = 2*w for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*o - 22*o - 22*o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d0ee + 2cfb?\nAnswer: fde9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 80 = -4*z, -2*z - 170 = -3*s + 2*z. Let u = 29 - s. Is -21 < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s**2 + 93*s + 180. Let a be i(-2). Solve -4 - 12 = -5*q + 4*v, 4 = -a*q - v for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 6*g - 35. Determine o(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2657 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95 = -3*k - 2*m - 101, -k - 4*m + 8 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 18*(1\/(-3) + 110\/60). What is the greatest common factor of j and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 5*x - 18 = 0, -44 = -4*p - 5*x + 22. Does 14 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 27*r - 55*r + 26*r. Let u(q) be the third derivative of 17*q**6\/360 + 10*q**3\/3 + 13*q**2. Let a(i) be the first derivative of u(i). Give t(a(d)).\nAnswer: -34*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.2, -2, 78687 in ascending order.\nAnswer: -2, -0.2, 2, 78687","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 31, 71, 129, 205?\nAnswer: 299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -69 + 81. Calculate the remainder when 22 is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - 6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 475 = -5*w + 2*b, -3*w = 5*b + 70 + 215. Let d = w - -237. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91 + 109 = 9*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 6*w**3 - 4*w**2 - 3. Let y(m) = 11*m**3 - 9*m**2 + m - 7. Let x(k) = 5*o(k) - 2*y(k). What is x(-1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18444*s**3 - 18432*s**3 - 3*s**4 - 98*s**2 - 5 + 99*s**2 to the form x*s**2 + p*s**3 + r*s + h*s**4 + w and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 10 = -5*q, -2*q = -3*z + 5*z - 8 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 1 (b) 1\/2 (c) -13\/5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3\/7 - 46*g**2\/7 + 52*g\/7 + 96\/7.\nAnswer: -2*(g - 2)*(g + 1)*(g + 24)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (1*sqrt(11) - sqrt(11)) + 3 + (sqrt(66)\/sqrt(6))**2.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (25 + -46)*6\/(-27)*-4137. What is n rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -166.\nAnswer: 66.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -234030 divided by -78010.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 291*n - 1005*n - 16819 = 1013*n - 144617 for n.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -9 + 27 + 7 + -31.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1782, 3183, 4584?\nAnswer: 5985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, u: 9, m: 1}. Give prob of sequence bm.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v + 2. Let s be x(0). What are the prime factors of s\/(-6) - (-102)\/9?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13.5 + -14. Let u be 1\/(-13*(-2)\/4). Which is the closest to 0.1? (a) u (b) 1\/3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 315639 = 21*q + 215722 - 1741594. What is the ten thousands digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 12:37 AM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/3 - 3 - 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f + 383*x - 378*x - 335 = 0, 0 = 5*f + 3*x - 170. What is the remainder when 3002 is divided by f?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -5*i + 14*i - 5*i - 8*i + 2*i. Let t(r) = -6*r**2 + 5*r - 2. Let m(c) = 5*c**2 - 4*c + 3. Let y(z) = -5*m(z) - 4*t(z). Calculate q(y(g)).\nAnswer: 2*g**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/15*13\/((-78)\/1188). Suppose -4*q - r = -86. Solve 2*l + q*w + 10 = 0, 5*l + 2*w = -3*w - 10 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of f**5\/5 - 2*f**4\/3 + 2*f**3\/3 + 5*f. Factor u(r).\nAnswer: 4*r*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0387888698 rounded to six decimal places?\nAnswer: -0.038789","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + 13. Let l(v) = 88*v - 4047. Let n be l(46). Solve -q = -4*h + 3, q = -2*h - n + p for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.62 + -12.38. Sort -0.4, 2, o in ascending order.\nAnswer: o, -0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 AM and 5:35 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -2\/19 (b) -3 (c) -2 (d) -26\/2999\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.436 rounded to 0 dps?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28672?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*q = 32*q - 1380. What is the greatest common divisor of 50 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -3\/8, 0, 2.2, 0.6, 5, 17?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-1 + 0 - 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 1)*(-91 + 75 - 114 - 41)*(-4*b + 3*b - b).\nAnswer: 684*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 4*h = -3*u + 122, -113 = 5*u - h. Let t = u - -36. Calculate the remainder when t is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 2 + 14 = 0, 0*u - 3*u - 4*u - 3*u + 4*r + 36 = 14*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 28\/3. What is the third smallest value in 5, -33, -0.4, x?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3647 divided by -7.\nAnswer: -521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d - 1. Let t be -7 - -2 - (2 - 2). Let y(g) = -g - 3 + 0 + 1. Let c(i) = t*y(i) + 6*b(i). Differentiate c(a) wrt a.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 41 + -41. Solve -a + c*a - 2 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -3, 3\/7, -2\/7, 0, 397?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 + 1. Let v = 15 - 10. Let j = 3 - v. Let y be l(j). Solve 6*f - f = -y for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/(k\/(k\/k**(2\/9)*k))))**13)**(-13\/4)\/((k\/(k\/(k*k**(2\/13)\/k))*k*k\/((k*k*k**(-3)*k)\/k))\/(k**(-4\/7)\/k**3)) assuming k is positive.\nAnswer: k**(85621\/3276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -311*k - 594*k - 266*k. Let v(s) = s**2. Calculate v(t(u)).\nAnswer: 1371241*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2746 + 1370 - 54*n**3 + 1376 + 49*n**3.\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q. Suppose -28 - 7 = -7*g. Let m(f) = 0 - 1 + 1 - g*f. Calculate m(z(h)).\nAnswer: -10*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, p: 1, z: 1}. What is prob of sequence zpk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.09? (a) 2\/15 (b) 2 (c) -113 (d) 3\/4 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 47 + -47. What is the nearest to 0.1 in 2\/3, f, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-3*sqrt(891)*-3 + 2)**2 + (2 + sqrt(891))*-4 + 1 + (sqrt(891) + (sqrt(891)*-6 - sqrt(891)))**2.\nAnswer: -1008*sqrt(11) + 681612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l. Let c(j) = 9*j. Let b(p) = -3*c(p) - 15*w(p). Let x(f) = 16*f**2. What is b(x(u))?\nAnswer: 48*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + w - 4*y - 22 = 0, w + 19 = -4*y. Let b = 5 + w. Let i be (2 - 0\/1) + b. Solve -l + i = -0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 306, 624, 940, 1254, 1566, 1876?\n\"Answer: -v**2 + 321*v - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8585154918 plus 14?\nAnswer: 8585154932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - 12) + (2 - -3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 123*j + 7*j - 1430 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 6:48 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a microsecond in nanoseconds?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 988083 times 0.2?\nAnswer: 197616.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/12 - 14\/(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 278769525 is divided by 5466069?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2438\/57 + -128\/3. What is the second smallest value in -3\/7, -0.1, o?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*x**5 + 3 - 3 + (-x + x**3 + x)*(6 - 6 - 2*x**2) + 2*x**5 - 3*x**4 + 3*x**4 + (8*x**2 + 2*x - 3*x**2 - x**2)*(x**3 + 0*x + 0*x).\nAnswer: -2*x**5 + 2*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 6, -3, -3\/5 in decreasing order.\nAnswer: 6, -3\/5, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 3312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 488326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -5*h + 14. Let o(y) = 4*y**3 - 64*y**2 + 4*y + 35. Let z(w) = -w**3 + 16*w**2 - w - 9. Let g(t) = h*o(t) + 9*z(t). Is g(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**2\/5 + 569268*x\/5 = 0. Calculate x.\nAnswer: 0, 569268","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m, 1 v, and 1 n when four letters picked without replacement from {n: 2, t: 7, s: 2, m: 5, v: 2}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 6*z = 5. Let b(y) = -4*y**2 - 5*y + 2*y**2 + y**2 - z. What is the units digit of b(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 - -28. Let d(z) = -48*z - 2. What is the remainder when d(-1) is divided by h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 + 21. Find the third derivative of -33*l**6 + 21*l**6 - 2*l**t + 22*l**6 wrt l.\nAnswer: 1200*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 + 0*x**2 + 2*x**2)*(2 + 3*x - 2*x - 1).\nAnswer: 2*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x + 176 + 124 = 0. What is the smallest value in -5, 2, x?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -0.15333, -0.5, 3, 4 in decreasing order.\nAnswer: 10, 4, 3, -0.15333, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 475*d**2 - 1560*d**2 + 0 + 0 - 677*d**2 as v*d**2 + c + p*d and give v.\nAnswer: -1762","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*(4 + (-9)\/(-1)). Let i(k) be the first derivative of k**4\/2 - 17*k**3\/3 - 2*k**2 - 4*k - 91. Is i(p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/7 + 224668*s\/7 + 6309463778\/7.\nAnswer: 2*(s + 56167)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 407 + -402. Find the third derivative of 30*c + 15*c + 2*c**2 + 6*c + 43*c**r + 23*c**5 - 7*c wrt c.\nAnswer: 3960*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 3 + -90 + -2 - (-61 + 106 + -49).\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*q - 1 - 22*q + 2*q + 41*q + 30*q as p + b*q and give b.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 10:09 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, h: 2, o: 3, f: 4, q: 6}. What is prob of sequence oqoq?\nAnswer: 3\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 1983?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 199298648.\nAnswer: 2, 24912331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a kilometer in meters?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1789 is divided by 883.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -8\/103?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1516*r = 1561*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 35 and 15.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-1\/2)\/(z\/z**(-5))*z**(-4)\/(((z**5*z)\/z)\/z) assuming z is positive.\nAnswer: z**(-29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 209*l**4 + 44*l**2 - 286. Let i(s) = 14*s**4 + 3*s**2 - 19. Let r(a) = -3*b(a) + 44*i(a). What is the derivative of r(p) wrt p?\nAnswer: -44*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**4 + 496*m**3 + 24*m**2 + 10238*m - 4. Let c(r) = -r**3 + 5*r**2 + 2*r - 1. Let z(a) = 4*c(a) - j(a). Find the second derivative of z(l) wrt l.\nAnswer: -12*l**2 - 3000*l - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 4*u**3 + 4*u**2 + 9*u + 6. Let n(r) = -3*r**3 - 4*r**2 - 8*r - 6. Let z(v) = 4*m(v) + 5*n(v). Calculate z(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 125\/6, 6\/1643, -1, 1\/5, -5, -3\/7, -0.4?\nAnswer: 125\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -175, -0.4, -1\/4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, -4\/3, -9, -1\/5, 0, -1\/4, 3249?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13 - 6*w**2 + 135839*w**3 + 2*w**4 - 135839*w**3 wrt w.\nAnswer: 8*w**3 - 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of -8*q - 1\/12*q**4 + 0 + q**3 + 2*q**2. Determine k(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 9*v**2 + 10*v - 3. Let l be h(10). Let z be ((-16)\/l)\/((-2)\/(-2287500)). What is z rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0107*8887.\nAnswer: 95.0909","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -616, -617, -618, -619?\n\"Answer: -l - 615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 + 14*f**2 + 9*f - 44. Suppose 0 = u + 4*g - 3, 4*u - 3*g - 72 = -136. Determine l(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 36*r - 41*r - 23*r - 30632. Which is the smallest value? (a) 1 (b) r (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202*s = 550*s + 25346 + 13630 for s.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 3)*(0*o - 10*o + 5*o + (0*o - 2*o + 5*o)*(-2 + 6 - 3) + (3 + 0 - 5)*(-o + 0*o + 4*o) + 2*o - 5*o + 2*o).\nAnswer: -18*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -5. Put z, 15, 2 in increasing order.\nAnswer: z, 2, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 - 16. Let y be -1 - -8 - (-8)\/((-32)\/(-24)*-1). Sort 5, m, y in descending order.\nAnswer: m, 5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 29*r + 118. Let b(x) = 18*x + 118. What is 3*b(d) - 2*p(d)?\nAnswer: -4*d + 118","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - 1c3286?\nAnswer: -1c3285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 41 + 112. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 648890 and 2982650.\nAnswer: 1870","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.80518 + -4.98052. What is f rounded to 1 decimal place?\nAnswer: -5.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 - 4*w**2 + w - 3. Let a be y(4). Let l(s) = -5*s**2 + 4 + 6*s**2 + 3*s - 1 - 1. Let i be l(-3). Solve i*d + a = d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74335236 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -89371, 3388.\nAnswer: -89371, -1, 3388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 53998 divided by -26999\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*k + 350 + 111 - 17 = 0 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - -147880.\nAnswer: 147875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f - 7. Let o be v(-4). Let m be o\/(-5) + 644\/(-5). Calculate the remainder when 43 is divided by m\/(-6) - (-2)\/4.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -3*y - 127. Let r(a) = a**2. What is r(d(i))?\nAnswer: 9*i**2 + 762*i + 16129","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4876274 and -1.595?\nAnswer: 4876272.405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 5 - 248\/93.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u - 3. Let q be v(-6). Suppose 3*p - 68 = 2*o, -o + 7 = p - q. Let r = p - 11. What is the least common multiple of r and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -289, -7\/34, 1 in descending order.\nAnswer: 1, -7\/34, -2\/3, -289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 34*a**3 + 8776*a**2 + 566826*a + 66564.\nAnswer: 2*(a + 129)**2*(17*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 1514*w - 760*w - 743*w. Let j(f) = 0*f**2 + 6*f**2 - 4*f**2 - 4*f**2. Determine j(r(h)).\nAnswer: -242*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 66167581 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(((-4*sqrt(1372) - sqrt(1372)) + sqrt(1372))\/sqrt(4) + (sqrt(7) - (sqrt(7) + 0 + sqrt(28)\/sqrt(4))) + 2))**2.\nAnswer: -464*sqrt(7) + 23564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 18 - -303?\nAnswer: 31b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 40*y + 2. Let u be v(5). Let p be 8 + 10\/1*3\/(-6). Suppose 4*m = p*l - u, 0 = -2*l - 2*m + 90 + 40. Is 22 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2012*n + 1166965. Give y(580).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*a - a + 42. What is the highest common factor of 66 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23223 (base 4) in base 7?\nAnswer: -2115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 924 and 726?\nAnswer: 10164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 3*q - 13, -4*m + 7 = -5*q + 2*q. Suppose -12 = 3*c + 3*d, q*d = 2*c - 15 + 3. Suppose 0*v**2 + 0 + c*v + 1\/5*v**3 + 1\/5*v**4 = 0. Calculate v.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 5*b + 3*r, -25286*b + 25283*b - 18*r = 24 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of -g**4\/12 + 10*g**3 + 3*g**2\/2 - 9815*g. Determine h(60).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 281 - 1 = -8*r. Let f = 18 + -18.1. Which is the third biggest value? (a) f (b) -0.5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/8 (b) -6 (c) -4 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -144 or -163?\nAnswer: -163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.8 + 1. Let c = -0.2097 + u. What is c rounded to 3 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 204559832?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -5173*u**3 + 9*u + 3. Let j(z) = 5175*z**3 - 12*z - 4. Calculate 4*d(c) + 3*j(c).\nAnswer: -5167*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -4*j - 12. Is -2*(-3)\/j - -1321 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10960000 to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.875 in -2\/3, 0.2, -2.4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48 and 625698?\nAnswer: 5005584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (80\/(-14))\/(8\/(-28)) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*u + 0*u + u**3 + 2*u - 14*u - 57*u - 2*u**2 - 2 to c*u**3 + s*u**2 + i*u + q and give i.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 - 19. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 27*x**2 - 20091*x - 17878. Give g(745).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2*f + 3 = 3*z, 0 = -f + 2*z. Solve -j + 3*j + f = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/129 and 32\/69?\nAnswer: 2967","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 243\/261 + -1 - (-1186)\/(-464)?\nAnswer: -21\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of 6*z**3 - 83*z**2\/2 - 3629*z + 868. What is the first derivative of t(h) wrt h?\nAnswer: 36*h - 83","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -669*x + 86. Give p(0).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 4*o - 3*o, -4*o + 12 = -2*h. Let u = -531 + 530.93. What is the second biggest value in -2\/7, u, h?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166 - 1400 = 421*x - 303 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*((-447)\/3 - 0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6352*p + 305*p = 519246 for p.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 3*i + 2*l + 45 = 0, 15 = -3*l. Let z = 12 - i. Solve -q + z = 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(5\/2)*w**11)\/(((w\/w**(-13)*w*w)\/w)\/(w*w*w**(1\/5)*w*w)) assuming w is positive.\nAnswer: w**(-13\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2003303 + 2?\nAnswer: 2003305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 69 - 39. Solve -3*z = -0*z + r for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4543221.\nAnswer: 3, 1514407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.013207721 rounded to 3 decimal places?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.2 and 320153?\nAnswer: 320152.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 920 and 9573980.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -183*i - 5121. Calculate o(-28).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 8*k**2 - 7*k. Let p be h(2). Suppose 139*c + p = 134*c. Let v be 0 - (1 + -3)\/(-2). What is the closest to -21 in v, c, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, j: 10, v: 2}. What is prob of picking 1 x and 2 j?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, f: 1, y: 2, c: 2, r: 2, w: 2}. What is prob of sequence rty?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 5*h**3 + 13*h**2 - 4*h + 6. Let v be m(-3). Which is smaller: -11844\/5 or v?\nAnswer: -11844\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-6*(sqrt(108) + (1 + sqrt(108) + sqrt(108))*-6)**2 + 0).\nAnswer: 28512*sqrt(3) + 471744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1127*d + 43702 - 9892 for d.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 0*q - 30. Let x be q\/84 + 4\/14. Let i be -1 + (-2)\/((-1)\/1). Which is smaller: i or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2709*p**2 - 2*p - 58474*p**5 - 31*p**4 - 2*p**3 + 1029*p**4 + 58475*p**5 wrt p?\nAnswer: 60*p**2 + 23952*p - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 28*(4 - (-15)\/(-5)). Let j = -17 + z. Suppose 4*k - 8 = -2*u, -u + 1 = 3*k - 7. Calculate the remainder when j is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5152?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 65667?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 32*j - 13. Let p(y) = -32*y + 16. What is -5*n(q) - 4*p(q)?\nAnswer: -32*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-5 + -2 + sqrt(2))**2 - 5*(sqrt(128) + 2))*-5.\nAnswer: -185 + 270*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -60, -4, -129431 in decreasing order.\nAnswer: -4, -60, -129431","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -26 (c) -6.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 3\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -112 times 0.46\nAnswer: -51.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 4*v - 8 = 0, -2*f - 20 = -3*v + 19. Let c be f\/8 + 18\/4. Solve -i = s - 8 + 3, c*s - 23 = -5*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 15*n**4\/7 + 153*n**3\/7 + 435*n**2\/7 + 351*n\/7 + 54\/7 = 0.\nAnswer: -6, -3, -1, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*l**3 - 81205645*l**2 + 81205640*l = 0. Calculate l.\nAnswer: 0, 1, 16241128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -8*b**2. Let z(h) be the first derivative of 9*h**2 - 88. Calculate z(n(i)).\nAnswer: -144*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/7? (a) 0 (b) -3973\/26 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 79*o. Let b(m) = 2*m**2 + 8*m. Determine b(c(l)).\nAnswer: 12482*l**2 + 632*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 4*g**2 - 5*g + 30. Let c(x) = -10*x**2 + 16*x - 88. Let j(z) = 3*c(z) + 8*w(z). Factor j(s).\nAnswer: 2*(s - 2)*(s + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 653 + -565. Let g be 2\/(1*1\/11). What is the highest common factor of f and g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18*1.1\nAnswer: -19.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ws when two letters picked without replacement from {w: 2, s: 16}?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52234, 105128, 158020, 210910, 263798?\nAnswer: 316684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.4? (a) 13 (b) -3 (c) -1\/3 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (13 + (-7 - -18)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -52*l - 3. Let i be v(-3). Let d be -34 + -6*2607\/(-198). Calculate the greatest common divisor of i and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -176 - -181. Let l(r) = -r + 21. Let n be l(9). Which is the biggest value? (a) -4 (b) o (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 + 120. Suppose -g = 5*s - 10*s. Calculate the remainder when 59 is divided by s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 853*n + 374 = 819*n for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) -0.03 (c) -3390 (d) -3 (e) 2 (f) -4 (g) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9853666.\nAnswer: 2, 19, 349, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1533182106?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*y + 2*y. Find the second derivative of 7*f**y - 2*f**2 + 10*f**2 + 16*f wrt f.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -38, -102, -222, -416, -702?\nAnswer: -1098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.142 + -3.858. Which is the closest to 1? (a) v (b) -0.5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c + 9. Determine m(12).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2597, 12091, 27915, 50075, 78577?\n\"Answer: y**3 + 3159*y**2 + 10*y - 573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5 + ((-25080)\/605 - -42) + (-2336)\/(-517). Let x(c) = c + 4. Suppose 0*n + 3*n = -12. Let z be x(n). Which is bigger: h or z?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 8, h: 5, q: 3, v: 2, y: 1, u: 1}. What is prob of picking 1 l and 1 y?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -5*l**2\/2 - 15260*l - 30515\/2 = 0?\nAnswer: -6103, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 77, 0, 4 in descending order.\nAnswer: 77, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - 8) + (-4 - -15) + -5\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -3 - (-3 - 110) - (6 - 3)?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -120.1 + 120. What is the closest to y in -0.2, 3\/5, -0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2640*o + 14. Let n(c) = -9*c**2. Determine a(n(d)).\nAnswer: 23760*d**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 1:53 PM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 2) + -13 + 34 + -18\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-9)\/6)\/(6\/8). Let a(q) be the second derivative of q - 1\/10*q**5 + 0 - 1\/6*q**3 - 1\/4*q**4 - q**2. What is a(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6ed7b (base 16) to base 10.\nAnswer: 454011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -155792\/5, -1\/5, 0.017 in increasing order.\nAnswer: -155792\/5, -1\/5, 0.017","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1*(110\/5 + 2) is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153\/5 greater than 32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -211*h + 6570. What is the remainder when 10381 is divided by x(31)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/7 or 1140\/13403?\nAnswer: 1140\/13403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwswlswy. Give prob of sequence yl.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -161, -333, -513, -701, -897, -1101?\n\"Answer: -4*a**2 - 160*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 5*y + 5360 = 0, 0*f - 3*f - y = -3208. Suppose 2*n + f = 2*j, -248 = -j + 3*n + 291. Suppose -q + 503 = 4*v, -5*q = v - 5*v + j. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 12, -0.024, 0.4, -11\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + 0 - (3 + -4). Suppose 5 - 1 = 2*z. Solve -3*v = -d - z - q, -8 = 2*d + v for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 93 or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 43506 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millennium in months?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -373.7 - -373.6. Which is the nearest to 28? (a) j (b) 1 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 PM and 9:18 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10580\/7 + -31726\/21. Suppose 3*p = -18 - 6. What is the closest to p in 5, t, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32874964 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 21\/2, 2, 3?\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 90.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*a + 4*a - 3*a)*(60 - 31 - 32) as r + v*a and give v.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 (base 12) in base 15?\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90.48255 decades to centuries.\nAnswer: 9.048255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1579, -1582, -1587, -1594, -1603, -1614?\nAnswer: -1627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**2 - 3*c**2 + 2*c**2)*(4 - c - 4) - 6*c**3 + 2*c**3 - 11*c**3.\nAnswer: -14*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 - 2*z + 6. Let a = 13 + -19. Is q(a) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -904\/417 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 541657941?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-50)\/(-18) - 4\/(-18). What is the common denominator of ((-172)\/(-396))\/((-2)\/k + 0) and -181\/60?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(-21)*6\/(-12)*14?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y. Let r(x) = -187068*x + 1. Give n(r(q)).\nAnswer: 187068*q - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1411616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -321855166 divided by 29?\nAnswer: -11098454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 plus 0.561?\nAnswer: 0.461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -316953 divided by -15093?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) 6\/7 (b) 6 (c) 5 (d) 0.2 (e) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4 and 15032770.\nAnswer: 15032766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 3*m + 186 = 0. Let d(t) = -4943*t + 24731. Calculate the remainder when m*(2\/4 - 1) is divided by d(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 15, 53, -8, -104, -1.\nAnswer: -104, -8, -1, 1, 3, 15, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1127 - 642 + 575 + (-1 + 3 + 0)*(0 + 5 - 3))*(3 + 0 - 1)*((3 - 1 + 0)*(-3*m + 2*m + 0*m) + 2*m - 2*m - 2*m).\nAnswer: 9520*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((108\/15)\/(-9))\/((-4)\/10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 8 + 1 - (0 + 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2 and 0.89557?\nAnswer: 2.89557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 51*q + 222. Is a(10) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03448173 rounded to three dps?\nAnswer: -0.034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*d - 90 = 94 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1291*d - 2283*d - 2265*d - 553*d.\nAnswer: -3810*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 15, -2\/13, 0.016 in descending order.\nAnswer: 15, 1, 0.016, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 1. Let n(u) = -2*u + 11. Let t(o) = n(o) - 6*s(o). Let f be t(4). Is 0 + ((-230)\/(-1) - f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 118*g = 116*g + 26566, 0 = -4*q + g + 26545. Is 63 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 7774464024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1047*(1 + (-16)\/12). Let h = 1403\/4 + w. Let i = -2\/375 + 6043\/250. Find the common denominator of i and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3582*q + 189 + 189 - 573 + 195 + 0*q - 2*q + 4*q + 2*q - 2*q - q + (-2 + 1 + 0)*(-4 + 4 - 2*q) + q + 0*q + q + 4*q + 2*q + 8*q.\nAnswer: 3601*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -15313869?\nAnswer: -2\/15313869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -201113203 (base 4) to base 12.\nAnswer: -67117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 32\/(-10) - 2\/(-10). What is the units digit of j\/((-6)\/(-7) - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of 0 - n**2 + 0*n - 3\/2*n**3 - 1\/24*n**4 + 1\/30*n**6 + 1\/120*n**5. Let l(a) be the first derivative of m(a). Calculate l(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -174 divided by -4?\nAnswer: 87\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 20, 17, 14, 11, 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 5*p - 30, -2*y + 17 = 5*p - 2. Suppose -y = -4*k + 5. Solve -k = 2*b - b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 + 57*l - 711. Give o(38).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - 5) + 15 + 1. Suppose 4*y - r = 18. Solve -20 = 5*z, -3*u + 5*z + y = 3*z for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-one halves of a millennium?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - (-1551)\/165)\/(0 + 4\/(-55))?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 242 (base 5) to base 15.\nAnswer: 4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 + 11*o. Let d be s(-11). Suppose -3*f - 11 = 4*z, 4*f + 4*z + d = -8. Let i(r) = -r**3 + 4*r**2 - 2*r + 4. What is the units digit of i(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.4, -20, 7\/3, 0.3 in descending order.\nAnswer: 4, 7\/3, 0.4, 0.3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 5*y**2 - 3*y + 2. Let j be h(1). Let t be (1 - 4) + (-9)\/(-7 + j). Suppose t*c + 2*c - 254 = 0. Is 21 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 20 - -1995?\nAnswer: 19b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 4*g = 6712, -4*w = -5*g + g - 8952. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from igpzipii. Give prob of sequence ig.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 1295*r + 2698. Does 14 divide a(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5704*2\/6 + (-44)\/(-66)?\nAnswer: 2, 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9\/4 or -8?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 + 1. Let h be b(1). Suppose g - 5*f + 21 = 4*g, h = g - 4*f + 10. Let w be -1*g\/(2\/(-5)). Solve 2 = v + w for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49.37208 - -0.235\nAnswer: 49.60708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004019490645 rounded to 7 dps?\nAnswer: -0.0040195","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 + -27. Is 8\/n - (-2331)\/27 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6810*(-25)\/(-60)*2. Suppose 3*b - 4565 = -4*t + 2*b, 5*b = 5*t - x. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 17 = -d, w - 2*w = 5*d + 8. Let x be (-3 - -2) + w + -4. Suppose x*z = z. Solve -3*y = -5*r - 12, 4*y + 2*r + z*r = -10 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -86, -167, -248, -329, -410, -491?\nAnswer: -572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 729 = -a, r - 969 = -5*a + 2664. Suppose -5*q + 0*q - 3*z - 1237 = 0, -246 = q + 2*z. Let k = a + q. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*a + 7*a + 68 = 0. Suppose 0 = -3*w - 4*z + 2923, -a*w + 0*z + 3902 = 3*z. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -2*y**4\/11 - 10480840*y**3\/11 - 20961670*y**2\/11 + 10480840*y\/11 + 20961672\/11 = 0.\nAnswer: -5240418, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1969 = -3*o - 3*p + p, -3*p - 2597 = -4*o. What is the hundreds digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*c**3*g*k**2 + 6*c**3*g + 2731*c**3*k**2 + 11*c**2*k**2 + 50*c*g + 61*g*k**2 wrt c?\nAnswer: 42*g*k**2 + 36*g + 16386*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -512 - 499 = s - 3*m - 1018, -4*s - 4*m - 52 = 0 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13.7 + -14. Let m = -122 - -113. What is the smallest value in z, m, 0.5, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*(-12)\/672*-40.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 567532152?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.8349 + 3.995112.\nAnswer: 2.160212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of -p**4\/12 - 11*p**3\/6 + 12*p**2. Let q be u(-8). Suppose m - q = -1. Solve -m*c = 2*v - 8, 7*v - 8 = -2*c + 4*v for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 9, m: 3}. Give prob of sequence am.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 17*p**2 + 7*p + 9. Suppose -8*l + 9*l = 46. Let s = l + -49. Let m be n(s). Calculate the greatest common divisor of 94 and m.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/r**(-2\/13)))\/(r*r**(1\/2)))**21\/(((r\/((r\/(r\/r**(-1\/2)))\/r*r*r*r))\/r*r)**(-4\/17)*r**4*r**(-1)) assuming r is positive.\nAnswer: r**(-16729\/442)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37712 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.089546 * 3.6\nAnswer: -0.3223656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 2022\nAnswer: 202.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 234\/(-65)*10\/(-4). Let q be (3\/42*12)\/(3\/126). What is the highest common divisor of q and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 51 - 54. Sort 1, 5, n.\nAnswer: n, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -173 + 29 = -9*f. Solve 6*u - u + 4*y - 12 = 0, 3*u - 2*y - f = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 - -3 - 3)\/(-1). Suppose -4*x + 11 = -3*u, l*x - u - 6 = 1. Suppose 0 = -x*s + 3*s - 2. Solve 3*m = m + s*i, 8 = m + 3*i for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 14530668?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9.3 + 9.5. Which is bigger: p or -10?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38061.\nAnswer: 3, 4229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 213605526 to the power of 1\/2, to the nearest integer?\nAnswer: 14615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -2*c**2\/7 - 8982*c\/7 - 941688 = 0.\nAnswer: -3567, -924","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12227 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1479366 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1394848 divided by 199264?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 72 + -65. Suppose 0 = r*k - 19*k + 48. What is the closest to 0 in -2\/13, k, 0.5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - -3616a28?\nAnswer: 3616a29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1965089 = -526*i + 2004013 for i.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3\/19, 0, -1\/14629 in descending order.\nAnswer: 4, 0, -1\/14629, -3\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + w - 12 = 0, -128 = -4*g + 2*w. Is 11 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h. Let m(w) = -212*w**2. Give u(m(c)).\nAnswer: -212*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence liil when four letters picked without replacement from {l: 7, i: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by 260.\nAnswer: -11\/260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -5*f + 4, -2*f - f - 2 = -4*a. Suppose -v = -a*v - 3. Let i = 9 - v. Is 7 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00168243 to 4 decimal places.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -48*p**2*x**3 - 76*p**2*x**2 + 2*p**2 + 8406*p*x**5 - 83*x**2 wrt x.\nAnswer: -288*p**2 + 504360*p*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -50 - -54. Let q = -18 + 18.09. Which is the second smallest value? (a) -2\/9 (b) g (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 47336 and 10649824?\nAnswer: 776","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 16*f + 190. Let b = -497 + 487. Suppose -5*q + 19 = -21. What is the remainder when g(b) is divided by q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/10 (b) -2 (c) 2\/5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of h**5\/75 + h**4\/10 - 8*h**3\/15 - 9*h**2. Factor d(b).\nAnswer: 4*(b - 1)*(b + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 317 + -318. What is the nearest to -1\/3 in 5, -5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27 + 54 + (-29 - 30)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - -1)\/10 + 39\/(-65). Which is the nearest to v? (a) -2 (b) 1.1 (c) 0.1 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jz when two letters picked without replacement from eeejyzjyyjyy?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/3*3 - ((6 - 163807) + 5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n, 1 c, and 1 u when four letters picked without replacement from {w: 2, n: 4, c: 2, l: 4, u: 2}.\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6 + -4)*4\/2. Suppose 0 = m*c - 7 - 13. Suppose -26 = -c*j - r, 1 = j - r - 3*r. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20 - 12 - 3*x - 60 + (2 - 2 + 2*x)*(3 - 1 - 3) + 3*x - 2*x - 2*x.\nAnswer: -6*x - 92","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express l - 9 + 9 in the form t + i*l and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1027?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-31)\/8 - -5 - (-2)\/(-8) and (-9)\/(-12)*((-4251)\/90)\/(-13).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4863038 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u + 460 = -4*u. Which is smaller: 41 or u?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(294)\/(sqrt(7) + -2*sqrt(21)\/sqrt(3))*-3)\/(-5*sqrt(486) + sqrt(6) + -3*sqrt(36)\/sqrt(6)).\nAnswer: -3*sqrt(7)\/47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) + 5 - (sqrt(6)*-1)\/sqrt(3))**2.\nAnswer: 40*sqrt(2) + 57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(2048) + 1)*-2 - (-1 + sqrt(2048)*-1))*-4)**2.\nAnswer: 25600*sqrt(2) + 819600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -246 + 425. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*a, -528 + 45 = -3*f + 5*a. Suppose -4*b - 57 = -k, -2*k = k + 3*b - f. Let z = 160 - k. List the prime factors of z.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 40*t - 42. Let b be (6*-1)\/(0 + t). Solve -d + 2*k + 0 = -b, -d - 4*k - 12 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - -82?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 7 + 1 = 5*w, -4*w - 5*s = -3. Let g be (-12)\/(-5) + w - (-83)\/5. Solve 0 = 2*p - 3*b - g, 8*p = 3*p + 4*b + 33 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-9\/7))**46*r\/(r**(10\/7)\/r)*r*r\/(r\/(r*r\/(r*r**(-20))))*r assuming r is positive.\nAnswer: r**(-249\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4178271 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(176) + (sqrt(176)*1 - sqrt(176)) + sqrt(176)))\/(2*sqrt(16)\/sqrt(4)))\/(-6*5*sqrt(400)*1) + -4.\nAnswer: -4 + sqrt(11)\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 8 = 0, 5*o - 3*n + 4*n = 172. Suppose -4*w + 334 = o. Is 24 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 6, b: 5, r: 1, u: 2, s: 3, p: 2}. Give prob of sequence psp.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 402557?\nAnswer: 59, 6823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 1 - 9 + 1831*a - 1832*a.\nAnswer: -a - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 - 6*z + 45. Let j be u(4). Let g = j + 166. Does 57 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 11111681*b - 2. Let k be l(2). Suppose 0 = -5*w - 4*v + 9 + 5, 1 = -2*w + 5*v. Suppose k - 4023360 = w*r. Round r to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/11760 and -35\/52.\nAnswer: 152880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*w = -49 - 131. Solve -8 = w*q + b, -4*q + 7*b - 11*b - 16 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1320 a factor of 22898834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 14 = 4*i, 3*i + 9 = -2*t - 2. Suppose -t*u = 4*l - 10, 4*u + 7 = 3*l - 2*l. What is the remainder when 30 is divided by (80\/25)\/(u\/(-5))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 188935289 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2065 (base 9) to base 3\nAnswer: 2002012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -459771 and 15.797.\nAnswer: -459755.203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6167, -6104, -6041, -5978, -5915?\n\"Answer: 63*x - 6230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 PM and 1:45 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -159010, -636747, -1432976, -2547697, -3980910, -5732615, -7802812?\nAnswer: -10191501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27 + -16. Let p = -11 + d. Which is bigger: p or -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -54934*t + 109879. Give q(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from njiinijiiiii?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 1 + 1. Let c(b) = -4*b**3 + b. Let y be c(m). Let z = y - -1. Solve 0*s = 2*s + z for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18924 is divided by 520?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(0 + sqrt(180)))**2*-4.\nAnswer: -2880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161 is divided by 49?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 679*o**3 - 21*o**2 - 12*o - 18. Let z(f) = 169*f**3 - 5*f**2 - 3*f - 4. Give 2*x(n) - 9*z(n).\nAnswer: -163*n**3 + 3*n**2 + 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 107.5916 rounded to 1 decimal place?\nAnswer: 107.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22110 + 3331032302?\nAnswer: 3331121012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j = 14*j - 308. What is the remainder when j is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1 - -4) + (-4 - -1))\/(-2). Suppose -137*u + 140*u - 102 = v. Let q = 60 + -25. Are u and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-20)\/(v*v**(-38)\/v)*v**(-6)*v**(-36) assuming v is positive.\nAnswer: v**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.446 + -0.406. Let k = 0 + -0.2. Sort 2\/17, k, a, 0.1.\nAnswer: k, a, 0.1, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8581 is divided by 106?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (52\/(-8))\/((-1)\/(-2)). Let r = -10 - c. Let g be (-20 - (-3 + r))*2950. Round g to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(700) + 3))**2.\nAnswer: 960*sqrt(7) + 11344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -133, -148, -173, -214, -277?\nAnswer: -368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 1:01 AM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0010497086 rounded to 6 dps?\nAnswer: 0.00105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4704.8 + -4686. Round r to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -4*p**2. Let q(j) = -28*j**2 - 179 + 179. Calculate q(g(u)).\nAnswer: -448*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 26 (base 7) to base 2\nAnswer: 10100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 65742 or -586?\nAnswer: -586","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/7? (a) 69\/4 (b) -1 (c) -2\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2893?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94498842.\nAnswer: 2, 3, 491, 32077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/10 and 145\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -3*z**3 - 3. Let h be d(-3). What is the greatest common factor of 52 and h?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (2 + 1) - -2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -235547 by 18119.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of 0*h**5 + 7 + 0*h**2 + 0*h - 7\/6*h**6 + 0*h**4 - 7\/3*h**3. Find the third derivative of s(q) wrt q.\nAnswer: -420*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3 from -1.6123884686.\nAnswer: 1.3876115314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6007, 12030, 18047, 24058?\n\"Answer: -3*t**2 + 6032*t - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = y - 5*h, -3*h + 12 = 5*y - 15 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*i - 504 = -77*i for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 11 = 4*k - 2*p, 5 = 3*k + p. Suppose -v + 3*l + 12 = 0, 3*v - l + 2*l + 4 = 0. Solve v*q - k*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*i + i. Suppose 0 = 3*k + i*k + 10. Let d = -0.5 - 1.5. Is d not equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*m + 4*m - 333. Let i = 116 + m. Suppose 2*c + 445 = o - 0*o, 1335 = 3*o - i*c. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 324962321 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 + -6. Let y = 31 + t. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -475504 (base 8) to base 3.\nAnswer: -22021002021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.5904646 rounded to one dp?\nAnswer: -7.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z - 3*z - 3*z + 6*z - z**2 + 39 to l + o*z**2 + s*z and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-84 + 51 - -40) + 25.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 107030 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 6 = 2*l - 4*o, -3*l - o + 7 = 0. Let t be (l\/(-8))\/(15\/60). List the prime factors of 930\/45 + t\/(-3).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 68282 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-212)\/159*(-27)\/6 + 1*-5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 2 (c) 4 (d) 7\/64\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 347839 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -209 = 7*u - 11*u + 5*r, -3*u = -4*r - 158. What is the third derivative of 51*f**5 - 68*f**2 - 6*f**4 - 102*f**5 + u*f**5 wrt f?\nAnswer: -300*f**2 - 144*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 25\/4 of a year?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1270, -1273, -1276?\nAnswer: -1279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -0.5, 2\/5, 0.79, 0, 1400?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 90188, 91267, 92350, 93437, 94528, 95623, 96722?\nAnswer: 97825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13877\/119833 + 48\/(-5304)*13 and -31\/1113.\nAnswer: 21147","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 354947*k**2*l**4 - 7*k**2*l - 253*k**2 - 2*k*l**5 - 11*l**2 wrt l?\nAnswer: 8518728*k**2*l - 120*k*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 3) to base 9.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 2123631 and -208 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -1 + 0 - 3 - 1. Let i(u) = u + 6. Let x = -7 - -4. Let j(l) = x*y(l) - 2*i(l). Let h(o) = -2*o + 4. What is -2*h(d) + 3*j(d)?\nAnswer: -2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1192713480?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f + 1775*f**2 + 2*f + 2230*f**2 in the form u*f + x + p*f**2 and give p.\nAnswer: 4005","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2493\/2 - 7477\/6. Let k = -0.09 + -0.41. Put k, -5, j, -1\/4 in decreasing order.\nAnswer: j, -1\/4, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 + -21.06. Let t = -0.36 - i. Put 4\/3, 1\/3, t in decreasing order.\nAnswer: 4\/3, 1\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -9\/4, 0.2, -43, 3\/5, 0.4, 3?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 744*q - 742*q - 51 = -5*m - 137, -120 = 4*q - 3*m for q.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 3*p - 20 = -4*n, 2*p + 3*n - 15 = 0. What is the remainder when 59 is divided by -2 - 88\/(-4 + p)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to 457\/3579?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 5*d - 3. Let x = 208 + -200. Calculate the smallest common multiple of x and z(3).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34101.\nAnswer: 3, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(-5)*j)\/(j\/(j\/(j*j\/(j**(5\/4)*j*j)))))\/(((j\/((j*j**(3\/11)\/j)\/j))\/j)\/j**(2\/7)))**(1\/41) assuming j is positive.\nAnswer: j**(-675\/12628)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + 8*a**2 + 8*a - 12. Let z be x(8). Let n = z - 63. Let l(c) = 2*c**2 + 14*c - 3. Is l(n) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 128 and 1696.\nAnswer: 6784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-24)\/25326 + 0)*(-75)\/850. Is 1 at most o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 7) to base 8.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1, -14, 2, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of 7*i**2 + 8561. Let y(h) = -487*h**2. Calculate y(n(b)).\nAnswer: -95452*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4802822587?\nAnswer: 3251, 1477337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((14\/4)\/(-7))\/2\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.29 and 53.\nAnswer: -15.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/6)\/(-2*4\/(-24))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 77 and 29.\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 4*s = y + 2880, s = 0. Let v be (1\/(-2))\/(4*(-10)\/y). Let t(m) = m**3 - 6*m**2 - 7*m + 1. Let i be t(7). Which is greater: i or v?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2012962?\nAnswer: 2, 7, 59, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + y + 6147, 25*y - 26*y = 1. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 90\/(-18) + -80)*1 - -14?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 6*v + 18 = 0. Let n be (-103)\/1179 + 2\/v. Let m = n - 1\/655. Is -1 at least m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*h + 392 = 0, 224*h = -4*n + 226*h - 36 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 3*z. Suppose z = -s - 5 + 15. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3078 - 3080. Suppose 5*x = 2*f - 15, 3*x + 0*x = -5*f - 9. Which is the nearest to 0.4? (a) f (b) v (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 148, 2, 1 in descending order.\nAnswer: 148, 5, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of -d**3\/2 - 3*d**2\/2 + 4*d. Let a(z) = -1. Calculate 3*a(u) - h(u).\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (23\/((-437)\/95))\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/7, -4\/5, 0.4, -0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 v when four letters picked without replacement from vwwwcccvvwcwwwww.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 692249 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01518978915 rounded to 6 dps?\nAnswer: 0.01519","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 172996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(3\/((-15)\/(-10))) - -1. Suppose -4*q = 3*t - 952, -g*t = -2*q - 3*t + 486. Does 54 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*j - 26705 = 4*d - 26637, -2*j - 3*d - 12 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 1930 - 75263\/39. Let z(i) be the first derivative of 0*i - x*i**6 + 2\/13*i**2 + 6\/13*i**3 - 18\/65*i**5 + 1 + 5\/26*i**4. Let z(r) = 0. What is r?\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 17 = 16 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -16320 divided by 80?\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3212019885 to the nearest integer?\nAnswer: 56675","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*h + 6*h**2 - 8*h + 2*h**3 - 9*h**2 - 13*h**3.\nAnswer: -11*h**3 - 3*h**2 - 18*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 186135017?\nAnswer: 186135017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 300*j**2 + 11*j - 93241?\nAnswer: 600*j + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 59185.08 decades in centuries?\nAnswer: 5918.508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 143183 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3547\/6 + (-34)\/204?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4868116?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/(-8))\/((-2)\/(-24) - 0). Let y(i) = i**3 + 5*i**2 - 5*i + 9. Let q be y(l). Solve 0 = q*v - 9 + 21 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = a + 88. Let g(x) = -24*x**3 - 5*x**2 - 4*x - 1. Let l be g(-1). Calculate the highest common divisor of l and a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 44\/5 of a tonne?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30227\/18444 - -171\/6148. Factor 5\/3*x**3 + 1\/3*x**4 - m*x - 1\/3*x**2 + 0.\nAnswer: x*(x - 1)*(x + 1)*(x + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-12)*-15*-2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 25 + 117*t**3 + 8 - 28*t**3.\nAnswer: 89*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 41723255 a multiple of 1293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10259*q**4 - 2165*q**3 - 94*q**2 - 42874.\nAnswer: -246216*q - 12990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2a4a74 - 2?\nAnswer: 2a4a72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*z**3 - 9*z**3 - 24*z**3.\nAnswer: -8*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 323 (base 11) to base 3\nAnswer: 112101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 15990000 to the nearest one hundred thousand.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -9*c - 1 - c + 2 + 9*c. Let r(t) = -3*t + 1. Determine -5*o(w) + 3*r(w).\nAnswer: -4*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 + 2*t. Let i be m(-2). Solve -2*r + 7*k - 18 = 3*k, i*r - 2*k = -6 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of -a**4\/12 + 9*a**3\/2 - 10*a**2 + 202*a. What is l(26)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y**2 - 3*y**2 - 19*y**2.\nAnswer: -26*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*(t\/(t*t\/(t**(-3\/4)\/t))*t)\/t*t*t**(1\/11))**(-2\/31))**(3\/19) assuming t is positive.\nAnswer: t**(87\/12958)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 plus 773051694.9?\nAnswer: 773051903.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8862851 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -8*u**4 + 2282518*u**3 - 162809869074*u**2 + 122105547266*u + 40702039298 = 0.\nAnswer: -1\/4, 1, 142657","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 8) to base 11\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.1274876 millennia?\nAnswer: 1529.8512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 166013322 a multiple of 939?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 0*g - 4*g + 8, 0 = -2*t + 2*g - 4. Suppose -12*a + 12 + 0 = t. Which is smaller: a or -2\/77?\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 67 + -126. Let z = -35.3 - f. Let p = 25 - z. What is p rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h - 4. Let c be z(-1). What are the prime factors of 29 + c + (-3 - -5)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 362539 is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -6 + 5*m**2 + 9 + 4*m**2 - 4*m**2 + 6*m**4. Let u(k) = 11*k**4 + 9*k**2 + 5. Let l(w) = -5*b(w) + 3*u(w). Find the third derivative of l(j) wrt j.\nAnswer: 72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6264 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((45\/(-18))\/5)\/(1\/(-18)). Solve 7 = -5*u - q, w*u - 12 = 12*u - 2*q for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 72 in 0.4, 0.3, 5, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/((d\/(d**(1\/24)*d)*d)\/d)))\/d**25)**7 assuming d is positive.\nAnswer: d**(-4207\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -37261562*u**2 + 51575978.\nAnswer: -74523124*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(-2 - -1)\/(-5). Let b be (2 - 9\/6)\/(5\/10). Which is smaller: b or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m - 5*m = 4*i - 26, 5*i = -m + 18. Suppose 0*n - 8 = -i*n. Let s(u) = -2*u + 2 + 2*u**2 - 2*u**2 + u**n. Give s(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1640, 2864, 4088, 5312, 6536, 7760?\n\"Answer: 1224*z + 416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -4 + (-6*sqrt(891)*-1)**2 + ((sqrt(891) - 2*sqrt(891))*4*-3)**2)*-2.\nAnswer: -320746","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -c - 27*v + 32*v, 3*c + 5*v = -13. Solve -52*z - 6 = -3*d - 49*z, c*d = -5*z + 26 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -29 + -5517a?\nAnswer: -551a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.5 - 2.9. Let k = -0.4 - d. Let s = -0.99992 + k. Round s to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3734*t - 44868. Calculate w(12).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -223 - -227. Which is the fourth smallest value? (a) 0.4 (b) -0.02 (c) f (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -2*i. Let h = 5 - i. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1772?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 88024 + -230?\nAnswer: 87684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 20078.11 plus 0?\nAnswer: 20078.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/8*8\/2. Solve 4*l - 14 = -t*i, 3*l + 2*i - 14 = -3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -3*n + 120. Suppose 0 = -7*o + 13*o + 60. Let y(i) = 2*i**2 + 19*i - 1. Let m be y(o). Solve 5*a + n = -0*h - 5*h, -h = -2*a - m for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 + -71 + 120 - 50?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 + 4*t. Let l be y(3). Suppose 3*m - 2*j - 9 = 2*j, 0 = 3*m - l*j - 9. Solve -m*i = -5 + 17 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -76*t + 59. Let k(w) = 73*w - 59. Let u(g) = -6*b(g) - 5*k(g). Is u(10) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*f - 2*f**3 + 20*f + 30*f - 79*f.\nAnswer: -2*f**3 - 8*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3240 (base 5) to base 10.\nAnswer: -445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12 - 13 - u - 4*u + (u - 3 + 3)*(-5 + 0 + 6 + 2 + 0 - 1 + 0 + 1 + 0 + 4 - 2 - 1 + (4 + 0 - 3)*(2 + 3 - 6) + 3 + 0 + 0 + 5 - 3 - 1 + 3 - 5 + 3).\nAnswer: 3*u - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - 0. Let y(k) = k - 2. Let q be y(m). Suppose 5*r = v - 24, 2*v + 5 = -r + 9. Sort -1, v, q in descending order.\nAnswer: v, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 37 + -82. Suppose 0 = -w - 0*x - 5*x + 20, 2*x = -3*w - 5. Let r be (3\/w)\/(3\/f). Solve 2*d - 4*t - 25 = -r*t, 0 = 5*d - 3*t + 15 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 20 = p + 2*f, -2*p + 24 = 4*f. Let y(k) = 8*k - 40. Let t be y(11). What is the greatest common factor of p and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(2\/(-2)) + 3. Suppose l + r*l + 6 = 0. Sort 3, 1, l in increasing order.\nAnswer: l, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - 2*u + u)*(-4 + 1 + 10).\nAnswer: -14*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 - 19. Let o be (-1 + -3)\/((-6)\/c). Let z be (o - -3)\/(2\/2). Is z less than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 110004510 - -5?\nAnswer: 110004515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25 + -20. Suppose -y*t = -42 - 23. Let a be (-2)\/(-10) - t\/15. Put a, 5, -1 in increasing order.\nAnswer: -1, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 95*a - 38*a - 45*a. Suppose -t + 1 + 2 = 0. Let r(y) = t*y + 0*y - y - y. Calculate r(j(c)).\nAnswer: 12*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1859 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: Let m(r) = 2*r**2 + 39*r - 57. Suppose 3*b + 2*s - 39 = 4*s, -b = -3*s - 20. Calculate the remainder when b is divided by m(-21).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -10211084, -20422172, -30633260?\n\"Answer: -10211088*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8 (b) -1\/2 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-90)\/(-12)*30\/9. Let k(v) = 21*v**3 + 0 - 6*v - 1 + 6 - r*v**3. Is k(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6417 times 0.1135\nAnswer: -728.3295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 divided by 107?\nAnswer: 291\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-54 - (-13 + 9))\/(-1*(-3)\/(-13836)). Round n to the nearest 10000.\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 100, 174, 260, 364, 492, 650, 844, 1080?\nAnswer: 1364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 3*z - 7 - 9*z - 5. What is the tens digit of w(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5.583, -0.2, -12, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*k - 1 - 4 + 1)*(-10 - 1 + 13 - 15*k**2) as r*k**2 + d*k + y + l*k**3 and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (621\/115)\/((-3)\/15)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 230419 and 2238356?\nAnswer: 15668492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -28.7 (c) 843 (d) 0.8 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 3*k + 14 = -a, 3*a = -5*k - 16. Let f be (-55)\/(-10)*(a - (-1 - -1)). Let q(t) = 3*t - 1. Let p(u) = -16*u + 4. What is f*q(n) - 2*p(n)?\nAnswer: -n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 9*g**2 + 2*g + 68. Calculate the remainder when o(9) is divided by 68.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 80 and 72?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ki when two letters picked without replacement from {r: 2, i: 2, v: 1, k: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (38\/(-19))\/40*15\/9.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 342 a factor of 74310087?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/22385 + 1768431\/179080. Find the common denominator of d and -131\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -82*s + 16. What is the lowest common multiple of 160 and c(-8)?\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 7*g**2 + 66*g - 69. Let h be m(1). Calculate the highest common factor of h and 628.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45340 = -32*x + 42*x. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 12*g**2 + 2*g + 7. List the prime factors of w(-6).\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -s - 3*s. Solve -s*m - 20 = m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2375 + -9c?\nAnswer: 22d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from ooovovvooooooooooo?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n + 15. Let c be b(11). Suppose -24 = -c*l - 3*i, 17 = 4*l + 4*i - 11. Solve l*a + 0 = -12 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 7:37 AM?\nAnswer: 10:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -12, -1, -7 in ascending order.\nAnswer: -12, -7, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -12768 to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 111, -0.4, 0?\nAnswer: 111","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 298114 to the power of 1\/3, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 254*j**6 - 101*j**2 + 1 wrt j.\nAnswer: 30480*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 AM and 8:53 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 18 = 42. Suppose b - n = -4*b. Suppose c - 85 = -b*c. List the prime factors of c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -1*sqrt(72) + -3 + sqrt(72) + (sqrt(72) - (-1 + sqrt(72))) + -5 + -2*sqrt(72)*5)**2 + -4.\nAnswer: 1200*sqrt(2) + 7296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -17*j**3 - 5*j**2 - 5*j - 1. Let g be v(-1). Let d(f) = f**3 - 15*f**2 - 14*f - 35. Let c be d(g). Which is smaller: -4 or c?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1148 + 1148. Put -62, -6, i in increasing order.\nAnswer: -62, -6, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 3)*(-5*y + 2*y + 0*y + (-3*y + y + 0*y)*(4 - 3 - 3)).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14649\/58604 + -1\/29302. Let a = -0.1 - 0.4. Let i be (2\/14)\/((-1)\/(-3)). Sort a, i, m, -3 in ascending order.\nAnswer: -3, a, m, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4712.596km to millimeters.\nAnswer: 4712596000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7179304?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -8*x - 6. Let w(h) = -7*h - 5. Let c(f) = -6*n(f) + 7*w(f). Give c(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -4*f**3 + 243*f**2 - 184*f + 16102. Give u(61).\nAnswer: 1157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3639 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 76*s**2 - 5409*s + 5408. What is m(1)?\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76247 is divided by 1412?\nAnswer: 1411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32389.12ml to litres.\nAnswer: 32.38912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 times 1.906322?\nAnswer: 45.751728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p = -23*p + 50456. Let x = 6615 - p. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 17605 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 116 = -6*c. Let j = -1 + -7. Let w = c + j. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.6 + -4.4. Put 1, o, -0.4 in descending order.\nAnswer: 1, -0.4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 178?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 873900?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 60209 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18023 - -21569. Put j, 1, -1 in descending order.\nAnswer: j, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4552908 divided by -186?\nAnswer: 24478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 759514 is divided by 196.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b - -10a47?\nAnswer: 10a38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + -2. Let d = -17 - -27. What is the remainder when 17 - (0 + n) - 0 is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 3950*g - 3031. Let h(k) = 1318*k - 1011. Let l(p) = -3*a(p) + 8*h(p). Find the first derivative of l(j) wrt j.\nAnswer: -1306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.0032033, 10, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4e53 (base 16) to base 8.\nAnswer: -47123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*a - 37*a = -5. Suppose -11*x - 2*h + 188 = -9*x, -a*h = 0. Which is smaller: x or 95?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + 6\/2 - 2. Let v = -0.59455 - -0.19455. Which is the nearest to v? (a) -1 (b) 2\/5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 12, f: 2, r: 2, y: 1, x: 3}. What is prob of picking 2 f?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of s**7\/30 + s**3\/6 + s**2. Find the first derivative of r(m) wrt m.\nAnswer: 28*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/7072 and 54\/221.\nAnswer: 7072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/5)\/w)\/w**6*((w*w*w\/((w**1*w)\/w))\/w)**(-4\/15))\/((((w*w**(-3))\/w)\/w**(6\/7))\/(w*w**2*w*w*w**(3\/5)*w*w)) assuming w is positive.\nAnswer: w**(482\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8194 and 13?\nAnswer: 106522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 + 4*d**2 - 6*d - 22. Let i be a(-4). Factor 0 + 3\/7*k**3 - 3\/7*k + 0*k**i.\nAnswer: 3*k*(k - 1)*(k + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 77955 and 25535.\nAnswer: 398116185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 59, 51, 37, 17, -9?\n\"Answer: -3*n**2 + n + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3381*298.\nAnswer: 1007538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of k**4\/24 + 2277*k**2. Let t(y) = -4*y**2 + y - 3. Let l(h) = -4*h**2 - 2. Let n(d) = -3*l(d) + 2*t(d). Determine n(o(f)).\nAnswer: 4*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = -3*a - 13 - 25, -4*a = b for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -340144, -340154, -340178, -340222, -340292, -340394, -340534, -340718?\nAnswer: -340952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1728 and 103225698?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide -5 + 3 - 3702\/(0 - 6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = 4*m - 8*t, 4*m = -t for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5153463874 - -44471.\nAnswer: -5153419403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/96*-8 - 11\/76. Let t be ((-7)\/((-21)\/6))\/(-6). Which is the nearest to t? (a) -4 (b) w (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-9)*(4 + ((-46)\/4 - -9)). What is the nearest to a in -5\/3, 1\/3, 17\/4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -1135*f**2 + 15*f - 9. Give b(1).\nAnswer: -1129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.091407ug to kilograms.\nAnswer: 0.000000005091407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 315906709 to the nearest integer?\nAnswer: 681","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s - 10. Let i be l(7). Suppose -54 = -3*f + 2*u + 63, i*u = -5*f + 195. What is the remainder when f is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-72)\/(1*3\/(-2)). Suppose -4*g + n = -g - 36, -d = -4*g + 3*n. Let o = 17 - g. Is 5 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 11 = -6*x. Let k be x*-3*((-16)\/3)\/(-4). Solve -4*w - 16 + k = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8 + 9)\/(-7*6\/(-336)). Solve -c - 2*l = h, c = 5*l + 129 - 116 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*d + 156 = -424. Let r(v) = -5*v + 61. Give r(d).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -44*d**3 + 6*d**2 - 335*d. Let o(m) = 37*m**3 - 5*m**2 + 334*m. What is -5*n(f) - 6*o(f)?\nAnswer: -2*f**3 - 329*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 539256?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 70, -1, -27, -43, 0, 5 in decreasing order.\nAnswer: 70, 5, 0, -1, -2, -27, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, m: 15}. Give prob of sequence mdd.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1180*z = 1018*z - 324 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -5 (c) 1 (d) 22 (e) 0.79 (f) -0.7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2455 + -2441. Suppose 0 = -3*g + 4*g - 6. Solve 0 = 5*a + d + g for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/((-176)\/6))\/(8\/16).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 3:04 PM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -10*t + 1350. Is 30 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(3) + (sqrt(24) + sqrt(216))\/sqrt(8))**2 - (sqrt(12)\/(sqrt(4) + sqrt(8)\/sqrt(2)) - (0 + sqrt(3) + 1)**2).\nAnswer: 3*sqrt(3)\/2 + 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 46*x - 37*x - 9. Let v = 8 - 13. Sort x, v, -9 in descending order.\nAnswer: x, v, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.31 in 3.19, -0.2, 0.5, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/4 (b) 0.3 (c) 5 (d) 7\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 103715 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 270013093 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 6 = 2*i, -4*f + 0*i = -2*i - 4. Let n(r) = -3*r - 7. Let a be n(-3). Let o(m) = -4*m**f - a*m**2 + 7*m**2. Let z(x) = x. Calculate z(o(b)).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 16.88954 and -9386.\nAnswer: -9369.11046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 3 = -6*v. Suppose v*m = y - 1, 4*m = -m - 4*y + 4. Solve 2*l = -m*l - 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31005 - -93017\/3. Let 43\/2*d**3 - 61\/6*d**4 + 7\/6*d**5 - 91\/6*d**2 + 2 + q*d = 0. What is d?\nAnswer: -2\/7, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {q: 1, m: 2, b: 4, d: 1, h: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -885 + 1161. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 169879283 to the power of 1\/2, to the nearest integer?\nAnswer: 13034","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36 + 21. Let f = 6 - d. What is the remainder when f is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 7 = 2*q, l + q - 6 = -l. Suppose -5*p = l*f + 21 + 19, 4*p + 45 = -5*f. Let w = f + 349\/27. Which is greater: -1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1147 - -1147.00031. What is h rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 8*u**2 + 7*u - 2. Let z be v(1). What is the highest common factor of z and 637?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 18*l = -22*l + 72, -3*k = 3*l - 108. Suppose 0 = -4*r + 13 + 3. Calculate the greatest common factor of r and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 2. Suppose -5*t + 2*c = 0, v*c = 4*t - 0*t + 2. Suppose 11*l - 111 = -3*l - 23*l. Solve 4*r + l*p - 1 = 0, r = -3*p - t*p - 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 24.6 (b) -4 (c) 2 (d) -52\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/4 + (-9)\/(-4). Suppose -f*z + z = 0. Suppose -3*h - 4*c + 2 = -0*h, 4*h - 5*c - 44 = z. What is the remainder when 15 is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1368 - -1384. Calculate the greatest common divisor of 20 and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**6*r**(-7)\/r)\/(r*r\/r**(-2\/5))**12 assuming r is positive.\nAnswer: r**(-154\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.147 - -0.893. Let w = -18.96 - m. Which is the nearest to -1? (a) -0.1 (b) w (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from xbfbpbepfbxbppbbpb?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16297 or -16299?\nAnswer: -16297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4535429.385602 less than 1?\nAnswer: 4535430.385602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7151c (base 16) in base 7?\nAnswer: 3642140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 + 12*k**2 - 21*k + 13. What is z(-14)?\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 37 + 28 - 28 + 7 - 29*r + 61. Let a(n) = 10*n - 35. Suppose -2 = -v + 2*v. Let u(j) = v*k(j) - 7*a(j). Differentiate u(p) with respect to p.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 233 - 44?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9250 and 46930.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.68, 2\/7, -0.2 in increasing order.\nAnswer: -0.2, 2\/7, 1.68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-150)\/125*30\/(-336) - 1\/4.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -12*-2*(-4)\/24. What is the closest to p in -1\/9, 0.3, 0.1, 1?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 - 6*f + 6. Calculate the lowest common multiple of 4 and h(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h**2 - 13*h + 25. Calculate y(6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 34*r. Let l = -1 + 23. Let f(o) = -7*o**2 + 11. Let t(z) = 2*z**2 - 3. Let m(j) = l*t(j) + 6*f(j). What is m(b(d))?\nAnswer: 2312*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -1. Let c be 5\/((y + 1)*1). What is the second derivative of 0*b - 2 + 2 - b**c + 3*b wrt b?\nAnswer: -20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 2:54 PM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 at most as big as 1.8525?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -2*x + b, -x + 7 = -2*b for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = a + 17, 3*f + 0*a + 3 = -4*a. Let h(r) = -6 + 22*r**3 + 10 - 38*r**3 + 17*r**3 + 5*r**2. Determine h(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16267 - 35393 = -1476*q for q.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccccccrccccccnrc. What is prob of picking 1 r, 1 c, and 1 n?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, 4, -2, -476, -439 in descending order.\nAnswer: 4, 3, 2, -2, -439, -476","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 176 - 102. Let x = r + -29. Suppose 5*i - g - x = -4*g, 0 = -3*g - 15. What is the remainder when 34 is divided by i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/910 and -43\/243438.\nAnswer: 8520330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (2 - -1) - 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-2*1\/38). Differentiate -19*a**3 + 6 + g*a**3 - 10*a**3 - 17 with respect to a.\nAnswer: -30*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8861*u**2 - 8861*u**2 - 5*u**3.\nAnswer: -5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of 225*u**8\/112 - 379*u**5\/30 + 20*u**2 - 4. What is the third derivative of v(d) wrt d?\nAnswer: 40500*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -64*f**3 - 12*f**2 - 2*f + 10. Let n(o) = 65*o**3 + 12*o**2 + 2*o - 8. Let a(c) = 4*i(c) + 5*n(c). Find the third derivative of a(s) wrt s.\nAnswer: 414","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 134700560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + 1 - 4\/(-2). Let g = 5 - 3. Which is the nearest to g? (a) x (b) 2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -409474 divided by -204737?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2905, 2, -5, -1, -4 in increasing order.\nAnswer: -5, -4, -1, 2, 2905","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.6 + -5. Let y = 29 - 21. Let x be (-39)\/12 - (-2)\/y. Which is the third smallest value? (a) j (b) x (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 q when three letters picked without replacement from {l: 1, p: 4, f: 7, i: 3, q: 3}.\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -13 + 5. Suppose m - 3*m = -g. Let z be -3 + m + 1\/3. Is z at least 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*o + 2. Let w = o - 3. Solve -s + 1 = -w, -3*k + s = -2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 10*f - 30. Let t be x(6). Suppose 2*b + 5 = -q - 2, -3*b = -5*q + t. Calculate the greatest common factor of q and 43.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + p - 116, -3*p - 11 = 1. Calculate the highest common factor of j and 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -13*i**3 - 4*i**2 - 8*i - 38. List the prime factors of t(-4).\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -2*c**2\/5 + 206*c\/5 + 208\/5 = 0?\nAnswer: -1, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.015 in 5, -0.4, 1\/3, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 8776.581913 to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3 - 10*p**2 + 6*p + 18.\nAnswer: 2*(p - 3)**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = -5*x - 4, -2*x + 6 = -5*q - 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1c (base 14) to base 16\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -60 - -65. Put 0.2, b, -37 in ascending order.\nAnswer: -37, 0.2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 - (-2)\/(-1) - -1 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 = -2*k - 3*y, -3*k - y = -7*k + 233. Let c(d) = -6*d - 21. What is the remainder when k is divided by c(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 3. Suppose 140 = v*m + m. Find the third derivative of 20*y**2 - m*y + 14*y**3 + 35*y wrt y.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/7, -6\/403, -2\/9, -1\/2?\nAnswer: -6\/403","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(192)*6)\/sqrt(4).\nAnswer: -48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of -v**4\/24 - 62*v**3\/9 + 21*v**2 + 214. Factor h(i).\nAnswer: -i*(i - 2)*(i + 126)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 + y - 1. Let r = -27 + 28. Let n(p) = p - 6. Let u(w) = r*n(w) - 3*g(w). Is u(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 10:11 PM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 p, and 2 x when four letters picked without replacement from xtptttxppptp?\nAnswer: 5\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 26*g + 10 = -21*g, 3*x - 6 = -3*g for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 8*u + 0*u - u - 5. Let h(q) = -13*q + 9. Suppose 42 = 5*n - c, -14 = -3*n + 11*c - 12*c. Let t = 8 - 4. Determine n*f(l) + t*h(l).\nAnswer: -3*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -14*n**2 - 9*n. Let k(q) = 9*q**2 + 6*q. Give -7*k(a) - 5*m(a).\nAnswer: 7*a**2 + 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 71 = 15*r, 5*r = 7*h - 3*h + 33 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*t = -28*t - 314. What are the prime factors of t?\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4468 divided by 2234\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -37774 times -0.3?\nAnswer: 11332.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/6 (b) 3.2 (c) -1\/3 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 852?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -58*r + 0*r**2 - 43*r**3 - 13 + 58*r - 3*r**2 + r**2 as c*r**3 + h + n*r**2 + m*r and give h.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 125735 divided by -25147\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h = -13*h + 5. Suppose h = -d + 16. Calculate the remainder when d is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6210.9 - 6211. Which is the second biggest value? (a) 2\/5 (b) -2.5 (c) r (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) -1\/5 (c) -19 (d) 2 (e) 0.1 (f) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 44\/33 - ((-12)\/(-3))\/((-6)\/6424)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209054 is divided by 1250?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 481183679 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 3*c**3 - c**2 - 1. Let f(u) = 972*u**4 + 9*u**3 + 166*u**2 - 3. Let o(r) = f(r) - 3*i(r). What is the third derivative of o(p) wrt p?\nAnswer: 23328*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*k**3 - 93*k**2 - 950*k wrt k?\nAnswer: 30*k - 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 divided by 504.\nAnswer: 23\/504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/11 + 144370398*v\/11 + 144370396\/11.\nAnswer: 2*(v + 1)*(v + 72185198)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -2 (c) 0.2 (d) -0.1 (e) -0.23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -237 - -236. What is the closest to w in -1\/11, -4, 3\/7?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-2 + sqrt(468) + 5)**2)*1 - (sqrt(312)*-3*2 + sqrt(312))\/sqrt(6)*2.\nAnswer: 56*sqrt(13) + 482","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 40737708 divided by 6?\nAnswer: 6789618","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1652, 1, -902 in decreasing order.\nAnswer: 1, -902, -1652","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -235 + 274. Let g = 167 + -98. Suppose -z - t + 23 = -0*z, -g = -3*z + 4*t. Calculate the remainder when b is divided by z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = -i + 10, -7*i = -8*i - 5*k - 30 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -v**3\/9 + 5*v**2\/9 + 2*v\/3 = 0.\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 515.2377 rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 5 = v. Let r(p) = -3*p - p**3 - 3 + 0*p**3 + 5*p + 3*p**2. Let d be r(3). Solve -d*j - 5*c = -4, -j + 6*j + v = c for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4176105 (base 8) in base 10?\nAnswer: -1113157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 22793?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 5 (b) -63 (c) 311\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38 - 35. Let o = -1 - -1.2. What is the nearest to r in 2\/5, 4, o?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1398 + 1517 = n - 4*z, 5*n = 3*z + 102 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004489783 to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g + 0*g + g**2 + (6 - 1 - 4)*(g + g**2 - g) + g**2 + 4 - 4 - 4 + 8*g**2 - 55*g**2 + 27*g**2.\nAnswer: -17*g**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(68) + sqrt(68)*2)*1 + -3)**2*3.\nAnswer: 432*sqrt(17) + 29403","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -652 - -3257\/5. Let t(g) = g**2 - 6*g - 1. Let k be t(6). Which is the fourth smallest value? (a) k (b) 5 (c) j (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243.6916 + 29?\nAnswer: 272.6916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ml when two letters picked without replacement from wjmljiwlimlmtmlllj.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -20*n. Let g be k(-2). Let z = -53 + 39. Let r = g + z. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(102) - 2*-1*sqrt(102))\/(sqrt(18)\/(2*sqrt(3))).\nAnswer: -2 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2150*w**3 - 8*w**2 + 8*w + 3. Let y(f) = -f**3 + f**2 - 2*f. Let g(z) = p(z) + 5*y(z). Is g(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -14*r**5\/13 - 88*r**4\/13 - 150*r**3\/13 - 92*r**2\/13 - 16*r\/13 = 0.\nAnswer: -4, -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 + 66 = 24*c. Find z, given that -129\/2*z**c + 63\/2*z**4 + 6 - 6*z + 33*z**3 = 0.\nAnswer: -2, -1\/3, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -261262 + 261035.686. What is a rounded to the nearest ten?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38735386 is divided by 3311.\nAnswer: 3308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 11:53 AM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 + p + 1. Let v(g) = -2*g**3 - 2*g**2 + 3*g + 14. Determine -3*s(y) + v(y).\nAnswer: -2*y**3 + y**2 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 22*n - 18*n + 5, 4*b = 3*n + 20. Suppose -4*c - 3 = -d - 3*c, 2*d = 4*c + 6. Solve 0 = q + d - n for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 645?\nAnswer: 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 499367, 499393, 499419, 499445?\n\"Answer: 26*a + 499341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of 3*f**6\/40 - 7*f**4\/24 + 3*f**2 + 3. Let m(s) be the second derivative of x(s). What is the second derivative of m(v) wrt v?\nAnswer: 54*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -133 + 2*b**2 - 132*b**3 + 373 - 39*b - 4*b**4 - 5*b**2 + 407*b + 7*b**2 + 4*b**5 = 0. Calculate b.\nAnswer: -5, -1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**2\/7 - 3959948*h\/7 + 5657040 = 0. Calculate h.\nAnswer: 10, 1979964","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1387 and 3212?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 - 19 - (3 - -2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from hjjjhoojobbbojhhmhhb.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 289767, 1159425, 2608855, 4638057, 7247031?\nAnswer: 10435777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 l, and 1 y when three letters picked without replacement from lllliylwiypllprli.\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24097 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 553166.9 seconds to milliseconds.\nAnswer: 553166900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -54 + 92. Suppose 0 = -4*y + 2*y + b. What is the remainder when 35 is divided by y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-11)\/(0 + 1\/1). Do -11 and p have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*t + 104*t - 1228593 = 0. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 53 (base 13) to base 16\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -1, -5, -17772 in ascending order.\nAnswer: -17772, -5, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 359123.3 to the nearest one thousand.\nAnswer: 359000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2731 and 1258193419.\nAnswer: 1258196150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 1. Suppose -w + l + 4 = 0. Suppose -7 = -4*j - 2*i + 5, -2*j + i + w = 0. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31045, -30976, -30907, -30838, -30769, -30700?\nAnswer: -30631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 14, 10, 85 in descending order.\nAnswer: 85, 14, 10, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a tonne in kilograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -49079\/10 + 4913. Let r = -55503666\/11 - -5050418. Let p = r - 4634. Calculate the common denominator of p and o.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 124617452 and 1262?\nAnswer: 1262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*s**2 - 31868 + 31868.\nAnswer: 34*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -72*w**4 - 710*w + 710*w + (11*w - 14*w**3 - 11*w)*(-1 - w + 1) + w**4 + w**4 - 4*w**4.\nAnswer: -60*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 33657.5, -0.1, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 + 9*t - 1. Let d(h) = -h**2 + 10*h. Let q(g) = -2*d(g) + 3*r(g). Is q(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of -n**9\/30240 - n**8\/3360 + 29*n**5\/60 + 26*n**2. Let w(k) be the third derivative of u(k). Factor w(f).\nAnswer: -2*f**2*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 360 a factor of 889564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 171053 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.743 + 34.343. Let r = 37.6 - n. Let d = 103 + -317\/3. What is the fourth biggest value in r, -3, 5, d?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.3 + -0.3. Let r(b) = -b**2 + 10*b - 2. Let k be r(10). Let o = 9 + -5. Put k, o, h in ascending order.\nAnswer: k, o, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 55818 by 6.\nAnswer: 9303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1002*d**2 - 38352*d**4 + 135*d**2 - 7*d**3 + 38323*d**4 wrt d.\nAnswer: -696*d - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -4. Suppose -2*s - 40 = -c*b - 7*s, 5*b + 2*s - 40 = 0. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 4*u + 4, -4*z + 3*u = 12. Let r be (-15)\/z*((-141)\/(-15) - -1). Suppose 19*b + 1827 = r*b. Is b a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127737004589 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m**3 + 3981*m**2 - 1330593*m + 6553815 = 0. What is m?\nAnswer: 5, 661","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/4)\/(3\/44). Suppose 0 = 9*u - 7*u - 108. Let o = u + t. Is o a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 512852211 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.7 (b) 5 (c) 2\/1713 (d) 1\/5 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 4682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -308 divided by -5625\nAnswer: 308\/5625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143 = -38*h - 3*z, 663744*h - 4 = 663746*h + 4*z for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*a**2 + 5*a**2 + 2*a**2 - 10*a**2 - 5*a**3.\nAnswer: -5*a**3 - 19*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.0922034 and -549.\nAnswer: -549.0922034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2213, 7546, 15985, 27530, 42181, 59938?\nAnswer: 80801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 530 is divided by 122.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 AM and 3:01 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 275824376?\nAnswer: 2, 34478047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 1*(-4 + sqrt(405)*1 + -4 + (sqrt(405) - (sqrt(405)*-1 + sqrt(405)))))**2.\nAnswer: -360*sqrt(5) + 1720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/186, 0.1, 4, -7634, 0.5 in increasing order.\nAnswer: -7634, -5\/186, 0.1, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8*361\/(-304))\/(2\/((-40)\/15)).\nAnswer: 38\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 960 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c + 5 = -5*v + 3*c, -2*v = 4*c + 14. Suppose -4*i - 20 = -4*z, -v*z = -z + 4*i - 40. Let r(a) = -a**3 + 11*a**2 - 12*a + 5. Calculate r(z).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10201210212 + -22201221?\nAnswer: -11001112210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = j + 3*d, 81 = 4*j - 6*d + d. Let f(k) = k + 0*k**2 - j*k - 48 - 2*k**2 + 3*k**2. What is the units digit of f(22)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*a**2 + 82*a**4 - 1771 - 194*a**3 + 4*a**2 - 1270 - 3*a**2 - 81*a**4 wrt a?\nAnswer: 4*a**3 - 582*a**2 - 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + -724?\nAnswer: -721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*u - 4*i, -4*u - 3*i + 5 - 7 = 0. Let x(q) = -5*q**2 + 1 + 5*q**2 + 2*q**3 + 2*q. Let s be x(-1). Is u at least as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136.5235552 rounded to one dp?\nAnswer: 136.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -889, 2\/11, 2\/19, -5 in increasing order.\nAnswer: -889, -5, -2\/5, 2\/19, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppppppr. What is prob of picking 1 r and 1 p?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 1208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19 + 48. Let d = m + -20. Suppose 14*x = d*x + 10. What is the third biggest value in -7, x, -3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101*f + 42*f + 45*f.\nAnswer: -14*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 16) in base 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**4 - 2097*v**3 - 8421*v**2 - 10539*v - 4218.\nAnswer: 3*(v - 703)*(v + 1)**2*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**4 + b**3 + b**2 + 2. Let u(y) = -104*y**4 - 6*y**3 - 2*y**2 - 35. Let l(t) = -6*r(t) - u(t). Find the third derivative of l(m) wrt m.\nAnswer: 2352*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (41 - -3 - 27) + -12 - 8 - (95 + -1)?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z + 6 - 2*z - 5 + (42 + 42 - 91)*(-1 + 1 + z).\nAnswer: -9*z + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2056 (base 11) to base 8.\nAnswer: -5243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k**(10\/3)*k))\/k*k**8*k**12\/(k**11*k))**(-11\/6) assuming k is positive.\nAnswer: k**(-44\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*s + 25*s - 7*p = -143, 0 = s - 3*p - 117. Solve -57*c = s + 189 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a centimeter in micrometers?\nAnswer: 64000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 2 + 14. Suppose 0 = 2*v + v + 36. Let q be 16\/v*(-3)\/1. Solve -m = c*x + 5, 3*x + 13 - 2 = -q*m for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 11*b = -7*b - 25 + 1, 7*z + 12*b - 56 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*c**3 - 123528*c**2 - 2050176*c - 6223360 = 0.\nAnswer: -88\/7, -4, 8840","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from wemuuawjajmawauwwwa.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4\/17 + 9\/34. Let b(p) be the second derivative of 1\/15*p**6 - k*p**2 + 0*p**5 + 0*p**3 + 0*p**4 + 0 + 2*p. What is the first derivative of b(f) wrt f?\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = t - 6*t + 43253, 10*f + 34648 = 4*t. List the prime factors of t.\nAnswer: 8647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in sixteen fifteenths of a decade?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -111186?\nAnswer: -111186","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75637*l**2 - 155149*l**2 - 15*l**3 + 79512*l**2.\nAnswer: -15*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 565 is divided by 274.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31560312.\nAnswer: 2, 3, 7, 47, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -193 + 194. Let r be 22 + a + (-3 + 3 - 3). Solve -15*k + r = -11*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1317 divide 2975627166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 40387 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2752, 5494, 8234, 10972, 13708, 16442?\nAnswer: 19174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 407 a factor of 182529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-20)*0 + -1. Let d be 2*1\/(-2) - (-4 - f). Let w(s) = s**d + 3 - 72*s + 65*s + 7. Give w(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kc when two letters picked without replacement from {l: 1, k: 1, j: 1, p: 1, c: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m + 3*m + m - 1280 + 1280 - 16*m + 0 - m + 0 + (0*m + m + m)*(-4 + 4 + 2) - m - m + m + (0 + 1 - 2)*(m + 0*m - 2*m) + 2*m + 1 - 1 - 3*m + 2*m + 0*m.\nAnswer: -10*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43626 is divided by 3632?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-81)\/(-18)*(-6)\/9?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -h - 1648 + 1658, 5*x = 4*h + 20 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/(-2))\/(77\/(-44)). What is the closest to -5\/6 in z, -0.1, 0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + (-1 + -3 - -16). Solve -3*m = -m + a for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, l: 1, u: 1, b: 1, x: 1, z: 4}. What is prob of picking 1 l and 3 z?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 126704 - 10699. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j**3 - 17639952*j**2 - 35279916*j - 17639960 = 0. What is j?\nAnswer: -1, 4409990","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-22)\/(-24) - (-5)\/(-20). Are y and 5\/2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 14*c + 44. Let p be t(10). What is the greatest common divisor of 161 and p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = -2*x - 18, 4*x = 4*p - 2*p - 6 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 n when three letters picked without replacement from {f: 1, x: 5, b: 1, l: 5, r: 2, n: 5}?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -18*b**2 + 87*b + 273 = 0.\nAnswer: -13\/6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g**2 + 10. Let r be t(8). Suppose -3*l = -4*l - r. Let a = 201 + l. Does 22 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2620811 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 72 and 10103277.\nAnswer: 242478648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 (base 8) in base 13?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1017, 246, -1847, -5922, -12639, -22658?\nAnswer: -36639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of -17*v**5\/20 + 2*v**4\/3 - 11*v. What is the third derivative of w(j) wrt j?\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 241 = -14*j - 63 - 397 + 57 for j.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-7 - 3) - (-13 - (8 - -18)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4264 + -4256 + (-1 + -7 - 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = t - 17 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-1))**(4\/21)*w*((w**2*w)\/w)\/w*w**(-6))\/((w\/(w\/(w\/(w**6*w)))*w**(-2\/13))\/(w\/w**(-1\/4))**(-7\/11)) assuming w is positive.\nAnswer: w**(20893\/12012)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 21*g**2*m**3 + 2798498*g**2 - 72*m**3 + 3*m - 29626 wrt g?\nAnswer: 42*g*m**3 + 5596996*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 11, i: 2}. Give prob of picking 4 j.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 at most as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3463, -6921, -10377, -13831, -17283?\n\"Answer: n**2 - 3461*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -85.68 - -88. Round i to one dp.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2849*f - 11439*f + 2859*f + 2869*f + 2870*f.\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 1639 = -32180. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 557, 566, 589, 632, 701, 802?\n\"Answer: k**3 + k**2 - k + 556","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 0.9. Let d be (-4)\/(-6) + (-1078)\/33. Let x be (-4)\/2 + (-76)\/d. What is the nearest to 1 in x, -4, k?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 + -7 - ((0 - 6) + 12 - -8)) + 65.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/9 + (-5)\/(-3). Suppose -3 = -5*t - g*u + 16, 4*t + 2*u = 16. Let r(d) = -t*d**3 + 4*d**3 + d**2 + d**3. Determine r(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -106, 5, 10, 1, -3 in decreasing order.\nAnswer: 10, 5, 1, -3, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of m**7\/105 - m**6\/20 - 13*m**5\/30 + 5*m**4\/4 + 2*m**2 - 57*m. Determine h so that i(h) = 0.\nAnswer: -3, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of -l**4\/4 - 7*l**3\/3 + 11*l**2\/2 + 17*l + 7. Let y be s(-7). Let o be y\/(-9)*(-18)\/(-24). Sort -6, -5, o in ascending order.\nAnswer: -6, -5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/857420 and -113\/946.\nAnswer: 9431620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(3 + 5 + 0 + sqrt(2299)))**2.\nAnswer: 4400*sqrt(19) + 59075","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36328212?\nAnswer: 2, 3, 107, 9431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/(-36)*-3)\/(72820\/(-1986)).\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.527 + -0.727. Which is the third smallest value? (a) -3 (b) -6 (c) 2\/15 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + 3\/(-9) + 2. Let v = 0.9 + -3.9. Is a less than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6869 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*v + 141*v + 116*v + 1404 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j - 6. Let f be g(9). Let -1 + 1 + f*v**2 - 5*v**2 = 0. What is v?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -106*s + 1181. Let b be x(11). Solve -4*r + 15 = -a, -3*r - 2*r = -5*a - b for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 6*t**2 + 6*t - 10. Suppose 2*r + 3 = -11. Calculate s(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 14465*j - 14461*j. Suppose -3 = f - 1. Let s = f - -4. Are s and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/30)\/(-1 - 0).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 117800?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*m + 9*m**2 - 5*m)*(-3*m**2 - 9 + 9) + 6*m**4 - m + m to u*m**2 + l*m**3 + n*m**4 + q + p*m and give n.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 2 u, and 1 a when four letters picked without replacement from almtuuab?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1537245 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -9\/7, 5, 0.67, -0.2?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 198.8 * -0.0441.\nAnswer: -8.76708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 174 divide 42248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4011 - 2?\nAnswer: 400b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 10*q**5 - 6*q**4 - 6*q**3 + 6. Let r(v) = v**4 + v**3 + v**2 - 1. Let i(j) = n(j) + 6*r(j). What is the third derivative of i(k) wrt k?\nAnswer: 600*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2. Let y(c) = 17*c**2. Give y(o(h)).\nAnswer: 17*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -429*n + 72295 = 40978 for n.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1498 (base 10) to base 5.\nAnswer: 21443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -900 = -59*x + 646 - 484 for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 13 = -5*j, -163*j - v = -162*j + 5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p**2 + 45*p - 40 = 0.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of 4*a**2 - 225. Let q(t) = -2*t**2 + 2*t**2 + 2*t**2. Give q(l(y)).\nAnswer: 128*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 45 + -43. Suppose -3*v + r*q + 60 = -14, -q = 4*v - 95. Solve -2*c + 6 + 8 = -2*f, 0 = 2*c - 4*f - v for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*r**2\/5 + 1223868*r\/5 = 0. Calculate r.\nAnswer: 0, 305967","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 217 - -194. Let o = 410.999807 - m. What is o rounded to five dps?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 356483 and 81061.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2475283.\nAnswer: 23, 107621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 0*a + 72\/7*a**4 - 2\/7*a**5 - 648\/7*a**3 + 0*a**2 = 0. Calculate a.\nAnswer: 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + 0)\/((-2)\/(-8)). Let r = y + -5. Let i(o) = 3*o**2 - o**2 + 2 - 3 - o + 0*o**2. Give i(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.0073 (b) 1\/3 (c) 0.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.1 + -1.3. Let n = -0.147 - m. What is n rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 4, -109, 0.0077?\nAnswer: -109","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 651354?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2 + 67300*r.\nAnswer: -2*r*(r - 33650)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 PM and 12:53 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 86300 by -1.\nAnswer: -86300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26.8 - -27.1. Which is the nearest to -1\/4? (a) 1\/4 (b) l (c) -0.5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2971 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -149 + 146. Sort -2, 2, 4, f in descending order.\nAnswer: 4, 2, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2281 + -3?\nAnswer: 2277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - 11. Let w = b - -19. Solve w*v - 3*y - 5 = 12, 5*v - 16 = 4*y for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -488 - -333. Let p = -73 - u. List the prime factors of p.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-139*z**4 - 2806*z + 2806*z - 109*z**4)*(z + 0*z + 3*z).\nAnswer: -992*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + -43 + -5 + (23 - 59 - -25).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002801 rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 3*z - 12. Suppose 1 = -3*o - 3*c + 13, -4*o - z*c + 15 = 0. Let f(h) = -h**2 + 5*h - 3. Let j be f(4). Solve j - o = w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72 and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - 6*b - 17802. Let w be h(0). What is the tens digit of (12\/36)\/((-6)\/w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1126960355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1213359140?\nAnswer: 2, 5, 7, 271, 31981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -67697600 rounded to the nearest one million?\nAnswer: -68000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33*l**4*q - 69*l**3 + 3*l**2*q - 2*l**2 + 20476*l*q wrt l.\nAnswer: 396*l**2*q - 414*l + 6*q - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 2*p = 20, 0 = -2*z + 4*p + 85 - 93 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 62 + 24. List the prime factors of w.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + u - 2 + (-u + 0*u + 2*u)*(-4 - 1 + 3))*(0 + 0 + 3*u)*(9*u**2 + 35*u - 13*u**2 + 2*u**2) - 2*u**4 - 2*u + 2*u.\nAnswer: 4*u**4 - 105*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2948851668 to the power of 1\/2, to the nearest integer?\nAnswer: 54303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 8 = 72*a - 74*a, v - 2 = 0. Suppose 0 = -2*x - 3*i + 2097 - 343, -5*x + 4*i + 4339 = a. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 59 divided by 9315\nAnswer: 59\/9315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tz when two letters picked without replacement from {z: 11, t: 1, s: 5, m: 2}?\nAnswer: 11\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = -154*n + 168*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jfjjffjj. Give prob of picking 2 f.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 16*i**2 - 36*i**2 + 133*i**3 - 132*i**3 - 11*i - 25. What are the prime factors of x(22)?\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 1253 = -x. Let p = -127 + x. What are the prime factors of p?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1226609 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*148\/888*10\/((-20)\/183).\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-40)*5)\/((-6)\/(-1)).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.5 (b) 0.1 (c) -82.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/14)\/((285\/(-76))\/5).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22445 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 228656046.\nAnswer: 2, 3, 131, 421, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 16227*d + 28593*d - 4.\nAnswer: 44820*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-336)\/18)\/((-3728)\/(-13980)).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -a - 16, -4*a - 10 - 9 = 3*m. Let g = 1 + a. Let x(y) be the second derivative of y**4\/12 + 7*y**2\/2 + 4*y. What is x(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5754253*a**3 + 15*a**2 + 7053*a - 2933.\nAnswer: -34525518*a + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (((-9)\/12)\/(1\/12))\/(-1). Suppose 251 = t*j - 289. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 20 + 30 = 9*r, r = 5*n + 12 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 24645, 49276, 73913, 98556?\n\"Answer: 3*u**2 + 24622*u + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 - 3*n**2 - 7*n + 5. Let f = 31 + -7. Calculate the remainder when o(6) is divided by f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -13?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s\/(s**10*s))\/s)\/((s*s\/(s*s*s**(-1\/2))*s*s)\/s))\/(s**(6\/11)\/s)**(-4\/7) assuming s is positive.\nAnswer: s**(-1811\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 186743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5247 is divided by 1669?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 3*n + 7. Let f = n - 9. Which is bigger: f or -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2380 and 47604.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25927 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25 + 29. What is the remainder when 18 is divided by k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/3 (b) -9 (c) 1 (d) -11 (e) 0.22 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 223888025 to the power of 1\/2, to the nearest integer?\nAnswer: 14963","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 42415191?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3373960?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 712 and 121574?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = -4*l + 40, 0*l - l = 3*t + 7 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 98\/10 - (-12)\/(-15). Let z be (-2)\/i*(-6 + -3). What is the third derivative of -6*v**5 + 0*v**2 + 4*v**2 + 2*v**z wrt v?\nAnswer: -360*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 896049299 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 839337 to the power of 1\/2, to the nearest integer?\nAnswer: 916","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/3175885 and 57\/14315.\nAnswer: 22231195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1349a - 3892?\nAnswer: b808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 70 - 58. Suppose o*a - 10*a = 82. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**4\/7 + 1710*o**3\/7 + 114230*o**2\/7 - 479070*o\/7 + 51876 = 0.\nAnswer: -66, 1, 3, 917","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 + 2. Let i be b(0). Let g(u) = -2*u**i + 1 + 5*u**3 - 7*u**3 + 0*u**2. Let c be g(-2). Is c at least as big as 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18373 is divided by 9152?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.018, 4.307, 5?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ysshyzszjjyzzyjzyziy. Give prob of picking 1 j, 1 h, and 1 s.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 136300 a multiple of 580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3420\/(-950) - (3\/(-1) - 0)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 66 and 41019?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -44 - -132. List the prime factors of ((-1)\/(-2))\/(11\/o).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 2, -61, -1.\nAnswer: -61, -4, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 720*g**4 + 4272*g**3 - 364*g**2 - 464*g - 48 = 0.\nAnswer: -6, -1\/6, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*u**2 + 54*u**2 + 454*u**3.\nAnswer: 454*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4269 divided by -3\nAnswer: -1423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2 - 550496*w - 18940365376.\nAnswer: -4*(w + 68812)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y**2 + 10*y - 16. Let z be u(-7). Find the third derivative of -z*d**4 - 93*d**6 + 17*d**4 - 5*d**4 + d**3 + 92*d**2 wrt d.\nAnswer: -11160*d**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of v**3\/2 - 10*v. Let a(c) = c - 5*c + 3*c. Give w(a(u)).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8693*b**3 + 4527*b**2 - 2*b wrt b?\nAnswer: 52158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of -730*j**4 + 2046*j**3 + 3873. Find the third derivative of z(v) wrt v.\nAnswer: -17520","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57468 a multiple of 168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/(-15)*1)\/(1560\/(-600)). Factor -q*s**4 + 0*s + 2\/13*s**3 + 0*s**2 + 0.\nAnswer: -2*s**3*(s - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -34*h**2 + 220*h + 7. Determine n(6).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p + 1. Let c(d) = d**2 - 12*d - 15. What is the remainder when c(14) is divided by q(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zqvpdqqqpvp. What is prob of sequence zp?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/24 + 3274\/120. Let j = -8971\/3 + 2962. Let q = n + j. Which is the nearest to -0.1? (a) 2 (b) q (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, 27, 9180, -421, -3?\nAnswer: 9180","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 38 + -33. Let d(f) = 6*f + 3. Let c(o) = -7*o - 4. Calculate x*c(w) + 6*d(w).\nAnswer: w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 0, -269, 15.\nAnswer: -269, 0, 13, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - k - 122, -4*k - 8 = 3*j - 90. Suppose -4*a = -5*u - j, 4*u = -2*a + 1 + 1. Let w(r) = r**3 - 5*r**2 - 2*r + 4. What is w(a)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 806 and 234?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**1)**(-3)\/((v**(-1\/3)\/v)\/v**(-6)))\/(v*v\/((v\/(v*v**(-6)))\/v)*v\/v**1*v\/v**(2\/7)*v\/(((v*v*v**(4\/3)*v)\/v)\/v*v)) assuming v is positive.\nAnswer: v**(-64\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*v - 28145 = -33425. What is the lowest common multiple of (24\/(-15))\/(1\/(-20)) and v?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4 - 336*t**3 + 28224*t**2.\nAnswer: t**2*(t - 168)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vd when two letters picked without replacement from ddcuiov?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 12145 (base 10) in base 2?\nAnswer: 10111101110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.451048 years to decades.\nAnswer: 0.1451048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of -v**8\/4200 + v**7\/1050 - v**5\/150 + v**4\/60 + 7*v**3\/3 - 6. Let i(j) be the third derivative of c(j). Factor i(l).\nAnswer: -2*(l - 1)**3*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 135*r**5 - 1212*r**4 - 4947*r**3\/5 + 39624*r**2\/5 + 32436*r\/5 + 1296 = 0. Calculate r.\nAnswer: -20\/9, -2\/5, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26 - 34) + 6 + -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a3 + -1?\nAnswer: 1a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -1430 (c) 44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43988917 to the nearest integer?\nAnswer: 6632","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/((-6)\/(-8)) - -2. List the prime factors of x\/(-10) - (-297)\/15.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 5*m + 45, -2*z + z - 5*m - 9 = 0. Let n(s) = s**2 + 10*s - 28. What is the common denominator of n(z) and 4\/13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -5*a**3 - 915*a**2 + 1749150*a = 0.\nAnswer: -690, 0, 507","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -43*r - 1425. Give s(-37).\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5208 is divided by 2542?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 129\/28 or 6?\nAnswer: 129\/28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 + 3*y + 3. Calculate the remainder when 1225 is divided by o(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 229*k**3 + 13*k**2 + 20*k + 14. What is the ten thousands digit of r(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1077 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: -4 * -324\nAnswer: 1296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*r - 61*r = -2*m - 21, 0 = 5*m + 5*r for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7465?\nAnswer: 5, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -282409.4 rounded to the nearest ten thousand?\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -424 (base 7) in base 6?\nAnswer: -554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 times -39038?\nAnswer: -1756710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11365.4161 rounded to the nearest ten?\nAnswer: 11370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 176681799?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 404 (base 6) to base 7\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 6, p: 2}. What is prob of picking 2 q?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 11, 3, 1 in increasing order.\nAnswer: -8, 1, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + n + 1 = -6*u, 0 = -5*u + 4*n + 9. Solve 0 = -u*y - 3*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 4*z - 2*z = 6, -h + 3*z = -5 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -230849, -230859, -230877, -230903, -230937?\n\"Answer: -4*p**2 + 2*p - 230847","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2644 - 2644.3. Which is the fourth biggest value? (a) m (b) -0.1 (c) 7 (d) 2 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.21 (b) 524 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 79240 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5567131 at most 5567130?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 9:56 PM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, z: 1, k: 1, y: 8, r: 2}. What is prob of picking 1 y and 1 t?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4108255 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 58858.758ns in weeks?\nAnswer: 0.000000000097319375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 116*y + 909 = 115*y, 3*h - 903 = 2*y. What is the remainder when h is divided by 134?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 - 0.8. Let z = -223 - -226. Which is the closest to v? (a) z (b) -1 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12*565641\nAnswer: -6787692","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.049, 8, 1?\nAnswer: 0.049","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 + ((-33)\/(-7) - 1). Which is the third biggest value? (a) 14\/9 (b) t (c) 0.2 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 260777247?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24800283?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b**2 - 6*b + 1. Let s = 44 + -32. Let d(x) = 2 - s*x**2 + 5*x**2 + 4*x**2 - 13*x + 7*x**2. Calculate -6*d(l) + 13*f(l).\nAnswer: 2*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 1:59 PM?\nAnswer: 12:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 45\/4 of a micrometer?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1261.\nAnswer: 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-150)*24\/((-8064)\/80)?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -65, 0.1, -0.5 in increasing order.\nAnswer: -65, -0.5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of -5*y**4\/12 - 3*y**3 - 19*y**2 - 12*y - 1. Calculate m(3).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 9 + -2 + -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 2*w + 5*w - 3 = 0, 0 = -5*s - 5*w + 5 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -352 - -363. What is the remainder when 59 is divided by s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, v: 1, n: 2, z: 2}. What is prob of picking 1 v, 2 z, and 1 e?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.93952825269885 and -4.\nAnswer: -3.06047174730115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lli when three letters picked without replacement from {l: 4, g: 1, m: 2, x: 1, i: 8, w: 4}.\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 45 and 35.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -211*p - 2081282 = -5480351 - 3797297. List the prime factors of p.\nAnswer: 2, 17053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(1539) + 3))**2.\nAnswer: 486*sqrt(19) + 13932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 1126 = -2*k - 3*s, 0 = -2*k + 4*s + 1156. Suppose j - 6*j - 1800 = 0. Let c = k + j. What is the greatest common divisor of c and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -251399.\nAnswer: 1\/251399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9084400*s + 9084403*s - 13*s**2 - 18168803*s.\nAnswer: -13*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a kilometer in centimeters?\nAnswer: 87500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 3*z - 6, 2*b + 8 = -5*z. Let w be (4\/b)\/(12\/(-36)). What is the units digit of 12*((-116)\/(-16) + w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 9, p: 11}. What is prob of sequence ppp?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of -b**4\/12 - 9*b**2\/2 - 5. Let h(d) be the second derivative of y(d). Let l(x) = 27*x**2. Determine l(h(m)).\nAnswer: 108*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 7*i**3 + i**2 + 4*i + 2. Let z(v) = -13*v**3 - 2*v**2 - 7*v - 4. Determine -7*p(y) - 4*z(y).\nAnswer: 3*y**3 + y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of -2*q**3\/15 - 12*q**2 + 248*q\/5 + 226. Factor w(t).\nAnswer: -2*(t - 2)*(t + 62)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 59, 62, 57, 38, -1?\n\"Answer: -n**3 + 2*n**2 + 4*n + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -50 - -71567063?\nAnswer: 71567013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2710 - 1730. Does 28 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 930097230?\nAnswer: 2, 3, 5, 23, 1347967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + -10 + 25 + -1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + u - 171 = -52, 38 = 2*p - 2*u. Suppose 3*s = -2*v + 4*s + p, 0 = v - 2*s - 16. What is the least common multiple of 14 and v?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 w when two letters picked without replacement from wwsgv?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*n - 10*a - 125, 633 - 701 = 4*n + 4*a for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k - 16*i - 31*i - 548 + 32, -502 = 4*k + 46*i for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, u: 1, t: 5, w: 1, r: 1}. What is prob of sequence lw?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**3 - 3*r**4 + 16*r**4 + 28*r**4 + 35*r**4 + (3*r - 2*r + r)*(0*r**3 + 3*r**3 - 2*r**3).\nAnswer: 78*r**4 - r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.59 + 50.21. Let f = 51.8 - o. Which is the nearest to -10\/11? (a) 4\/5 (b) f (c) -2\/13 (d) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 + 9042665305.\nAnswer: 9042665308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 AM and 5:49 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -98851.212 to the nearest 10.\nAnswer: -98850","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a*a\/(a*a**(-2))*a*a)\/a)\/a)**(-6))**(-4\/9)\/((a**0)**(1\/8)*(a**(-2\/3))**(9\/4)) assuming a is positive.\nAnswer: a**(19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*a + 2451 = -6428. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24.1 + -23. Let l = 0.8 + -2.1. Let n = l + f. Which is the nearest to -0.1? (a) n (b) -4 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + -5 + (19 - -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1*sqrt(45) - ((sqrt(15)\/sqrt(3) + 1)**2 - (1 + sqrt(320) + sqrt(5))**2).\nAnswer: 13*sqrt(5) + 404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9079143?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/70)\/((-15)\/(-20)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -9*d + 202. Let f be m(-37). Let u = 542 - f. What is the nearest to u in -1, 4, 0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -10*q**3 + 5*q**2 + 4874*q - 4880. Calculate o(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*(u**(-2\/5)*u)\/u))**40*u*u**(5\/4)*u*u**7)**(1\/20) assuming u is positive.\nAnswer: u**(21\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1594 + 3910 = 134*t - 6288 for t.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -5366, 0, -1 in ascending order.\nAnswer: -5366, -5, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 700055065 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5\/7 - -18\/35. Let n = -0.0351 + -0.0649. Which is smaller: v or n?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11100 + 11?\nAnswer: -11001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**6*o)\/o**(-2\/7))\/((o\/(o**2\/o))\/o*o)**(-28)*((o*o*o**3)\/o*o*o)\/o*o\/o**8*((o*(o*o**3)\/o)\/o)\/(o\/o**(-4)) assuming o is positive.\nAnswer: o**(23\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/(((d**40*d)\/d)\/d))**(-1\/11)*(d**(-9))**(-23))**22 assuming d is positive.\nAnswer: d**4628","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 851*u - 6315. Calculate j(9).\nAnswer: 1344","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -270*k**2 - 2 + 156*k**2 + 2 + 155*k**2.\nAnswer: 41*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -408.61952 + 0.01952. Let n = m + 409. Which is bigger: 7.8 or n?\nAnswer: 7.8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 8*c**2 + 10*c + 14. Let o be i(-9). Suppose -25 = 5*l - o*d, -l - 21 = -3*d - 6. Solve 3*b - 7*b - 8 = l for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 4*n - 7. Let k(x) = -5*x + 6. Give 3*k(b) + 4*v(b).\nAnswer: b - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1005*m - 95 = 1010*m for m.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 13748, 27596, 41444, 55292?\n\"Answer: 13848*d - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 1632536?\nAnswer: 1632535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 + 12)*4\/(-4662)*-7. What is the fourth smallest value in -0.1, 4, w, -1\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (m**2 + 6 + 11 - 1)*(3 - 8 + 29)*(4 - 6 + 3*m + m) in the form a*m**2 + h*m**3 + g + i*m and give i.\nAnswer: 1536","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, 1, 11, -35040 in decreasing order.\nAnswer: 11, 1, -31, -35040","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 - 12*m - 8. Let f be u(13). Suppose f*o + 2*d = -0*d + 15, -2*d = 0. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/9, 0, 1\/97, 8\/9, -2?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5+21474221367\nAnswer: 21474221362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24504 - 28950 = -114*u for u.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**3\/7 + 6474*a**2\/7 + 3492723*a\/7.\nAnswer: 3*a*(a + 1079)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l**2 + 58*l - 58*l + l**3 in the form f*l**2 + b*l**3 + n*l + a and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 264 and 2211?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/2 (b) 8\/91 (c) 0.2 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2333653523 - -2?\nAnswer: 2333653525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -608554, -608546, -608530, -608506, -608474, -608434, -608386?\nAnswer: -608330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 228618, 914581, 2057872, 3658485, 5716414?\nAnswer: 8231653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 102 = g, -12*q + 2*g - 54 = -14*q. Suppose -q*m + 61*m = 4248. Is m a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 c when two letters picked without replacement from jeccejcceeccc?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 + 265*a**2 - 20265*a - 555. Give r(62).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*d - 53*d = -23. Suppose 26*x - d*x = 415512. Suppose 0 = 5*q - 3*n + 4*n + x, 5*n + 20 = 0. What is q rounded to the nearest 1000?\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 3*k - 9. Let f be j(5). Solve -2*a = 3*w + 14, 4*a + f = -w - 12 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9224 and 3459.\nAnswer: 27672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/7)\/(w*w**11*w))\/((w*w**(7\/2))\/w**(-7\/2)) assuming w is positive.\nAnswer: w**(-148\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.02 and -14932.\nAnswer: -298.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 0*a + 4 - 5*a**2 + a - 5*a - a - a**3. Let i(r) = r**2 + 5*r + 1. Let x be i(-2). Calculate the remainder when u(x) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*y + 19. Suppose 2*s = -8, -5*b - s = -2*s - 89. What is the remainder when b is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 11830, 47337, 106520, 189379, 295914, 426125, 580012?\n\"Answer: 11838*k**2 - 7*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -212*d + 207*d = 32075. Let p = -3816 - d. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11915 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -0*f - 2*j - 1, -4*f + 16 = -2*j. Let b = -169 + 172. Suppose 11 = 4*z - q, -34*q = b*z - 30*q - 32. Which is greater: f or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from zuufu?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 4*g = 19, f + 4*g + 9 = -0*f. Let i(r) = -3*r**2 - r - 4. Let k(w) = -10*w**2 - 4*w - 13. Give f*i(j) - 2*k(j).\nAnswer: -j**2 + j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence goww when four letters picked without replacement from {g: 4, o: 2, i: 3, w: 2}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 - 766?\nAnswer: -760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3484729 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 28*d**2 - 22*d. Let i be x(-2). Solve 137*l - i*l + 133 = 0 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - k**2 - k - 1. What is the tens digit of m(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (sqrt(13) - (sqrt(468)*-1 + sqrt(468))**2)) + -1 - sqrt(65)\/(sqrt(10)\/sqrt(2)*-1).\nAnswer: -1 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 + -15.1. Let j = -3.97 - -4. Let k = 0.03 - j. Which is the closest to 0? (a) -5\/2 (b) k (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/3*(-1)\/2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -594155533\/21 - -28298294. Let c = z + -5176. Calculate the common denominator of c and 94\/15.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2 + sqrt(1088))*-6.\nAnswer: -192*sqrt(17) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 552, -5, 0.15, 133\/3, 6.5?\nAnswer: 6.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -838, -6681, -22534, -53401, -104286, -180193?\n\"Answer: -834*f**3 - f**2 - 2*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21883794?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v**4 - 166*v**3 + 810*v**2 + 22336*v - 5632 = 0. Calculate v.\nAnswer: -16, 1\/4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27 - 26. Let w(v) = v**2 + v + 1. Let j(k) be the third derivative of -k**6\/120 + k**5\/20 + k**4\/8 + 5*k**3\/6 - k**2. What is s*j(f) - 3*w(f)?\nAnswer: -f**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/9 (b) -4 (c) -33 (d) 0.5 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.09 - -0.01. Let t = 46\/3 - 15. Sort 4, -2\/7, t, u in decreasing order.\nAnswer: 4, t, u, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*r**5 + 85*r**3 + 967*r**2?\nAnswer: -180*r**2 + 510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of -1\/60*r**6 - 13\/45*r**5 - 27*r**2 - 16\/9*r**4 + 0 + 0*r - 32\/9*r**3. Determine a, given that h(a) = 0.\nAnswer: -4, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + 0 - (-4 + 3). Suppose n*x - 105 = 3*x. What are the prime factors of x\/(-9) + (-4)\/6?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -7. Suppose -5*f + 547 = -2*l, w*f + 4*l - 341 = 2*l. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 - -8 - (-20 + 3)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, 0.8, -5810 in ascending order.\nAnswer: -5810, 0.8, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 14 = d, -59*d = -64*d + 6*q - 10 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 137574068623 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 + 6*g**2 + 2*g + 8. Let q be r(-6). Which is the nearest to -0.1? (a) -0.4 (b) q (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 254 and 704437123?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.795294 to 2 dps.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19150 and 95750.\nAnswer: 95750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.1 * -174646.\nAnswer: -716048.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 58613596\/7 or 8373372?\nAnswer: 58613596\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-17)\/(-4) - 2\/8. Suppose s*u + 15 = u. Let v(n) be the third derivative of n**6\/120 + n**5\/10 + n**4\/6 + n**3\/2 - 4*n**2. What is v(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 198 = 5*s. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -5*d + 7, -2*d + 0*k + 3 = -k. Suppose 3*g - 2*a - 15 = 0, -d*a = -5*a. Suppose -g + 13 = 4*c. Sort 1, -5, c in decreasing order.\nAnswer: c, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 123*z**5\/5 - 22640607*z**4\/5 + 1041886358706*z**3\/5 - 411654276900*z**2 - 50821542936*z\/5 = 0. What is z?\nAnswer: -1\/41, 0, 2, 92034","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 28\/13 < -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.3 - 4.1. Let d = -7 + 5. Let g = t - d. Which is the closest to -2\/7? (a) -4\/3 (b) g (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**2 - 11*w - 7*w - 20 + 30*w - 11*w.\nAnswer: -2*w**2 + w - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3\/14)*l)**(-1\/7)\/(l**3*l**(15\/2)) assuming l is positive.\nAnswer: l**(-520\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: cb (base 15) to base 2\nAnswer: 10111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 41324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - 0. Let k be (-1 - -1)*(-3)\/6. Put 5, c, k in increasing order.\nAnswer: c, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/5 of a centimeter?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 56 = y + 55, 9 = 3*w - y for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 120 = 13*i - 56, 5*x - 3*i - 34 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8.8? (a) 489 (b) 5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 2:10 PM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5 and 4915.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -2*m + 84. Suppose 5*t = 0, 3*t - 130 = -4*v - 10. Let r = m - v. Is r a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2187, 2141, 2067, 1965, 1835, 1677, 1491?\n\"Answer: -14*g**2 - 4*g + 2205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23348 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8183?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-700)\/50)\/((-2)\/1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -13 + 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 41309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.17097 - 2.17. Round q to four decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4235049?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (-4 + (11 - (8 - (1 - (-7 + 14))))).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tk when two letters picked without replacement from kxkdtqkqqddkkqkdqdt?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -689 = -15*j + 12*j - 5*v, 3*v + 1137 = 5*j. What is the greatest common factor of j and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 PM and 9:24 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from xxdxxxxxxxxxdddddx.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 68 + 39 + (10 + 22 - 51).\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.687*-0.14365.\nAnswer: -0.09868755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(1\/(-6)*-2). Suppose h - 2 = n*h. Let t be 3 + h + 48\/(-27). Which is bigger: 1 or t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -27, -283, -685, -1233, -1927, -2767?\n\"Answer: -73*v**2 - 37*v + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -75812 or -2\/7?\nAnswer: -75812","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 16*o**2 - o**2 + o + 12*o**2 + 4*o**2 + 0*o - 20*o**3 in the form v*o**3 + g*o + z + p*o**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = y - 4, -3*z - 3*y = 0. Suppose 0 = -r - z + 6. Suppose -16 = -4*h - 5*m, -2*h + r*h - m - 22 = 0. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41953638?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**4 + 51*d**3 + 258*d**2 + 336*d.\nAnswer: 3*d*(d + 2)*(d + 7)*(d + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 6*r - 60. Let n be l(7). Let v be 2\/4 + n\/4 - -1. Let z(a) = a**3 + 3*a**2 + a - 1. Determine z(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -35714145*x**2 - 7*x - 545318 wrt x.\nAnswer: -71428290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-15)\/2 + 1\/2. Let l be 0\/1*(1 - w\/(-14)). Suppose l = -31*z + 34*z - 306. What are the prime factors of z?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2048 divided by -4.\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1938593143 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.07 in -0.3, -5, 0.2, -19?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2551224 divided by 2516.\nAnswer: -1014","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**17\/(p**0*p) assuming p is positive.\nAnswer: p**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -2\/3, -4\/9, -0.043813?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 3*x + x - 58 = 7*j - 0*x, j + 2*x = 23 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21\/155 + 376403\/465. Let f = v + -798. Determine s so that -8\/3*s**4 + 8\/3*s + f*s**3 - 40\/3*s**2 + 0 = 0.\nAnswer: 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 356643?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 1\/15073222?\nAnswer: 1\/15073222","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -93 - 692 + 271759*r**4 - 270284*r**4 wrt r.\nAnswer: 5900*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f - 12. Calculate z(-20).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - 7*i**2 - 2*i - 5. Suppose 34 = 4*b + 2*q, 3*b - 4*q - 22 = b. Is c(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 - 4*h**2 - 3*h - 2. Let i be a(-4). Let r = i + -5. Solve t - 20 = r*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47*b - 117*b - 59*b)*(0*b - 3*b + b).\nAnswer: 446*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -21. What is the units digit of (5 - 2)*f\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k + 17. Let y(b) = b**2 - 8*b + 6. Calculate the remainder when w(8) is divided by y(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 4*x + 14314 = 0, 375*w - 379*w + 4*x + 11452 = 0. What is the hundreds digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m*m**(-31))*m*m*m)\/m)\/(m**15*m*m) assuming m is positive.\nAnswer: m**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 - 11*q**2 + 3*q + 12. Let m be i(10). Let x = m - -86. Suppose -x = 3*t + 32. What is t rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 45 and 16585.\nAnswer: 149265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f - 7. Let m(o) = o - 8. Calculate 3*m(h) - 4*p(h).\nAnswer: -5*h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2247624629 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -229318, -229319, -229320, -229321?\n\"Answer: -c - 229317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/u**2))**40\/(u\/((u\/u**3)\/u)*u**5))\/(((u\/(u*u**(-4)*u))\/u)\/(u*u**(2\/17)))**(1\/10) assuming u is positive.\nAnswer: u**(2411\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -16*n**2 - 6*n - 2. Let v be o(-6). Let x be (535192\/(-1482))\/((-4)\/(-3) - 2). Let m = x + v. What is the common denominator of 26\/9 and m?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 2, 884 in decreasing order.\nAnswer: 884, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 1\/17 (c) 4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of -n**6\/360 - 7*n**5\/120 + 11*n**4\/24 - 80*n**3 + 43. Let c(l) be the third derivative of f(l). Determine c(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiiiimiiiiimimiiim. Give prob of sequence immi.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 428543513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -90*g**2. Let v(a) = 28*a**2. Determine r(v(n)).\nAnswer: -70560*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o - 11. Let i be b(-6). What is the closest to -0.2 in -0.3, 5, i?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15401?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 + 28. Let f = 0.009 - -7.591. Let c = p - f. What is the biggest value in 1, c, 0.07?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -532791*i**3 + 516348*i wrt i?\nAnswer: -3196746*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v**2 - 4*v - 1. Let j(i) = -3*i**2 - 4*i - 1. Let l(a) = 3*j(a) - 4*n(a). Suppose -305*k - 487*k = -3960. Give l(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + 15*v**2 + v - 13. Let q be t(15). What is the tens digit of (q\/(-3))\/(10\/(-3975))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of g**4\/2 - g**3 - g**2 - 91*g. Let b(d) = d**2 + d + 1. Let w(p) = -10*b(p) + r(p). Factor w(i).\nAnswer: -4*(i + 1)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - 1 + 1)*((2 - 1 - 2)*(-3*a + 3*a - 7*a) - 2*a + 2*a + 3*a).\nAnswer: 10*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 340*c - 345*c + 25. Suppose 123 = 3*g - 2*y, 0*g + 3*g + c*y - 144 = 0. Calculate the remainder when g is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/((-3)\/2))\/(1 - 2). Suppose v + 1 = -3*w - 0, -2*v = 5*w + g. Let h(k) = 3*k**2 + 2. Let r be h(v). Solve -3*n = u + n - 12, -3*u = -r*n + 32 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -406 - -400.653. Let k = z + 5.95. What is k rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 w when two letters picked without replacement from eeeeeeegwee.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185382283.\nAnswer: 89, 2082947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 188 divide 985872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3350)\/28944 - 4\/(-54) - (2 + -2).\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -6*x**2 + 202*x + 48. What is the lowest common multiple of 240 and y(33)?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -1808.\nAnswer: -3\/1808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 27+-283\nAnswer: -256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -198*k + 687 - 687 to g*k + h and give g.\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3702?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1119, 4132, 9135, 16128, 25111?\nAnswer: 36084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -552807, -1105613, -1658419?\nAnswer: -2211225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 426135.99 rounded to the nearest 10000?\nAnswer: 430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.38 - -7.22. Let l = r - 7.699. Let a = l + 0.10007. Round a to four decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, -11291 in increasing order.\nAnswer: -11291, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.048199*0.4.\nAnswer: -0.0192796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (64 - 67) + 2 + -1 + 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxsxwwxxxdss. Give prob of picking 3 s.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -275.6408 - 0.0462. Let n = 276 + t. Let s = -0.037 - n. What is the second biggest value in s, -0.4, 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -3*g - 4. Let f be (-10)\/4*(-6)\/(-15). Let s(c) = -c - 1. Give f*p(t) + 6*s(t).\nAnswer: -3*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 1. Let f be (-1 + 1)\/((-11 - -5)\/6). Sort f, o, -3 in descending order.\nAnswer: o, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 821 in -3\/5, 4\/5, -7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*f - 5*p + 81 - 126, 3*f + p + 20 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/10)\/(4\/10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 - x + 2. Let n(i) = i**2 - 2*i + 1. Let q(u) = 4*n(u) - 3*s(u). Suppose -42 + 9 = -h. Calculate the remainder when h is divided by q(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156958 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**3 - 9*q**2 - 7*q + 2. Let j(a) = a + 3*a**2 - a + a**2 - a**3 + 3*a - 1. Calculate 9*j(v) + 4*o(v).\nAnswer: -v**3 - v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 146*j**5 - 6*j**4 + 66*j**3 + 142774*j**2 - 3*j wrt j.\nAnswer: 8760*j**2 - 144*j + 396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**3 - w**2 - 2*w + 1. Let k be v(3). Let l = 28 - k. Let b be ((-8)\/(-12))\/(2\/l). Let r(u) = -u - 1. What is r(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 259841897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 191\/1386 and -137\/5416950.\nAnswer: 16250850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 4*n**2 + 9*n - 9. Let k(d) = -d**2 - 2*d + 2. Suppose -4*s = -5*f - 15, -12 = f - 3*s + 2. Let h be (5 + f)*4\/(-6). Give h*m(v) - 18*k(v).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16417746 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -5*d + 7. Suppose -2*i + 4*x = 0, -21 = 4*i - 5*x - 24. Determine y(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*s**4 - 6*s**4 + 17*s**4 + (3*s - 7*s + 3*s)*(-4*s**3 + 4*s**3 - s**3).\nAnswer: 29*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 30*h**3 + 2*h**2 + 16*h - 12504.\nAnswer: 90*h**2 + 4*h + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 5*n + 25, -3*o = 237*n - 232*n - 7. Solve 0 = 4*d + 2*k + o, 9*k = 3*d + 4*k + 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of 25\/6*w**4 - 8\/3*w - 10*w**3 + 8*w**2 - 6. Find z, given that c(z) = 0.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of -12*c + 0*c**2 + 0*c**3 + 13 - 1\/2*c**4. What is the first derivative of r(w) wrt w?\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 + 8*f - 9. Suppose 0*p - 4*p = -12. Let v = p - -3. What is the units digit of j(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9.8 - 54.3. Let f = n - -0.1. Let k = -64.0108 - f. Round k to 3 dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 + 9*l - 1. Let o(x) = 7*x**2 + 35*x - 8. Let p(a) = o(a) - 3*y(a). Let h(t) = 21*t**2 + 17*t - 11. What is 6*h(c) - 13*p(c)?\nAnswer: -4*c**2 - 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tzzz when four letters picked without replacement from {z: 4, t: 8, p: 1}?\nAnswer: 8\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 157691843 to the nearest integer?\nAnswer: 540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 - 4*m + 5. Let k be u(-6). Let b = 143 - 149. Is b greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6198.6*10\nAnswer: 61986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*p + 361 = -629 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 393330 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6396 and 92040?\nAnswer: 3773640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1975232 is divided by 3502?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t + 3 - 3)*(t - 2*t + 2*t) - t**2 + 2*t**2 - 5*t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 69 and 20253432.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 8. Let g be ((-4)\/(-6))\/(-1*(-1)\/33). What is the greatest common factor of d and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 45230 = r, -r + 129306 = 5*h - 96856. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 1 (b) 1\/6 (c) 0.21 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 - 97 = -5*w. Let v be (-12)\/(-30) - 81\/w. Let o be v - -1 - 60\/(-14). Which is the third smallest value? (a) -0.2 (b) o (c) 0.5 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/1602 and 41\/12?\nAnswer: 3204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1485 = 215*a - 703 - 1467 for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3752 = 225*t - 91*t for t.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2058500.\nAnswer: 2, 5, 23, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 335, 8\/7, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 5*p. Let a(l) = 51*l + 18. Determine a(o) - 6*t(o).\nAnswer: 21*o + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 478436?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + (0 - 68350\/(-18)). Suppose -2*x = 4548 + 3062. Let l = y + x. Calculate the common denominator of l and -87\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/135*10\/3.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-28) + (-536)\/140 + 4.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.7 rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 234 and 21060.\nAnswer: 21060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2701097730.\nAnswer: 2, 3, 5, 71, 422707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*k**2 + 6*k**2 - 14*k**2 - k**5 + 0*k**5 + 2*k**5 - 4*k**5 + (-k**3 - 2*k**3 + k**3)*(-2 + 2 + 2*k**2) + 5*k**5 - k**5 - 5*k**5.\nAnswer: -8*k**5 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/5, -1911\/2, -22\/35, 0.2?\nAnswer: -22\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from ztttzzzttz.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/9667 and -5\/4202383.\nAnswer: 29416681","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1.5617*27\nAnswer: 42.1659","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -240633 <= -240635?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m - 3. Let q be f(9). Suppose -3*p + 11 = -5*k - 0, 16 = 2*p + k. Let s = -7 + p. Solve s = 3*i - 0*i - q for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rcawrcwrlllrtrr. What is prob of sequence rwr?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 242*c**3 + c**2 + 9*c - 6. What is o(1)?\nAnswer: 246","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 6. Suppose n = -2*n + 9, -x*n + 11 = -c. Let b = 1 + c. Solve -4*y - y = b for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -5*i - 0*w + 50, 2*i - 2*w - 38 = 0. Calculate the least common multiple of 104 and i.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + 525?\nAnswer: 524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -76, 5, 4, -47745 in descending order.\nAnswer: 5, 4, -3, -76, -47745","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + 2*g**2 + 15. Let r be s(0). Let d(y) = 16*y + 9. Let u be d(3). Let h = 60 - u. What is the greatest common factor of r and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 - (-11 - (2 + 6 + -12 + 12))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -38 - 31 - 8 - 36*a**3 - 26*a**3 with respect to a.\nAnswer: -186*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0*10\/(-80) - -10. Let w = -4067 + 89501\/22. Find the common denominator of w and ((-478)\/36 - -4) + h.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -5 (c) -0.3937803\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*l**2 + 37744*l - 151040 = 0. Calculate l.\nAnswer: -9440, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5}. Give prob of picking 3 w.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 59*v. Let k(u) = -23*u + 36. Let z(r) = -13*r + 16. Let h(y) = -4*k(y) + 9*z(y). Determine h(l(t)).\nAnswer: -1475*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 10*t**2 - 16*t + 10. Let n = -312 + 318. Let m be u(n). What is the highest common divisor of m and 290?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 340112545 - 340112439.9999804. Let d = l + -105. What is d rounded to 6 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*(-15)\/20)\/(-3*3\/(-6))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 9) + 0 + 15 + (58 - 2) - 11\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 7*b**2 + 6*b + 9. Let y be n(8). Let r(s) = 2*s + 6. Calculate r(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 1)*(2*i - 3*i + 0*i) + (43*i + 0*i + 4*i)*(-3 + 1 - 2) in the form h*i + d and give h.\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1743?\nAnswer: 3, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 17 + 3 + -5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*p = 987*p + 495*p + 77280 for p.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 234327 and 1.6.\nAnswer: 374923.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1880)\/220 - -16 - (1 - -7). Which is the closest to -3? (a) s (b) -15 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9461.986 centuries to years.\nAnswer: 946198.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7 - 7 - w - 4*w + 3*w + 0*w + (6 + 3 - 4)*(4*w + 4*w - 4*w).\nAnswer: 18*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.939 + 2.439. Put s, 0.2, 8.4, 1 in increasing order.\nAnswer: s, 0.2, 1, 8.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**2 - 12*q - 9. Let b be x(7). Suppose -576 = -b*d + d. Let v be 2\/((-4)\/(-34)) + 1. What is the greatest common divisor of d and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - 15 - 11*t + 28.\nAnswer: -11*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2103, 10253, 24443, 44673?\nAnswer: 70943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.03, -7, 5, 192, 2\/3, -3\/7?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-3))\/((-1)\/3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**2 + 75*f - 379. Give n(-42).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 8 = 0, 3*q - v = 7 - 17 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 41117 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -108.7 - -107. Which is smaller: -0.1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1122249, 1122245, 1122241, 1122237, 1122233?\n\"Answer: -4*k + 1122253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8c6 (base 16) in base 15?\nAnswer: -9eb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s + 1. Let t be j(-6). Suppose 3 = 3*r - r + g, -g = 4*r - t. Solve -d + 0*d = r for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2769?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.7 times 0.2?\nAnswer: 9.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-124)\/186*2\/6.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccc when three letters picked without replacement from {c: 3, f: 17}.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007303644 to four decimal places.\nAnswer: 0.0073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 85224870 divided by 14204145?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -48*g**2 - 19*g**2 + 4*g**2 to l*g + s*g**2 + u and give s.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) - -5*(sqrt(128)*-3 - sqrt(128)))**2.\nAnswer: 46208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(77)*-1)\/sqrt(7).\nAnswer: -sqrt(11) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-275))\/(2240\/542080)\nAnswer: -44\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 1. Let l(n) = -n**3 + 5*n**2 - 2*n - 2. Let i(c) = 5*k(c) - l(c). Let t be i(3). Let q(m) = 1 - 5*m - 4*m + 12*m. Give q(t).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5204\/4131 - -2\/4131. Calculate the common denominator of -143\/30 and x.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 129*y**2 - 68*y + 31. What are the prime factors of i(-10)?\nAnswer: 3, 13, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.053 - -2155517.\nAnswer: 2155517.053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -2595.1 to the nearest one hundred.\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -10 + 10 - 2\/(-6). Let r(j) be the second derivative of -d*j**3 + 4*j + 1\/2*j**2 + 1\/12*j**4 + 0. Factor r(p).\nAnswer: (p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11122 + -2535513?\nAnswer: -2551035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 >= 23\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.874 to zero decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3463, 3464, 3465?\nAnswer: 3466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1796134 + 10529581. Let c = -3933447 + m. Round c to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 AM and 10:36 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1506?\nAnswer: 2, 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (3 + 0)\/((-17)\/(-221))?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*d**4 + 57*d**3 - 49*d**2 wrt d?\nAnswer: 96*d + 342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 4*l)*(-14 + 14 + 8*l) + 4*l**2 + l**2 - 4*l**2 + 5*l**2 + 0*l**2 - 3*l**2.\nAnswer: -29*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -1\/140, 4\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 - 1. Let u(m) = -2*m**3 - 2*m**2 - 4. What is 2*f(c) - u(c)?\nAnswer: 2*c**3 + 4*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 10321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of a**4 + 267*a**3 - 64*a**2 - 30*a + 760508?\nAnswer: 4*a**3 + 801*a**2 - 128*a - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Factor a**4 + 706357*a**3 + 166312932909*a**2 + 13052737911613423*a - 26106141080609354.\nAnswer: (a - 2)*(a + 235453)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 189628\nAnswer: 1\/189628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 991?\nAnswer: 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*p)*(-37*p + 7*p - 69*p - 102*p).\nAnswer: -402*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*u + 2, 2*o - 20 = 4*u. Suppose -o*v + 2*v + 56 = 0. Let r = v - 6. Solve -14 = -2*y - 4*j, -5*j + 3 + r = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-24)\/42)\/((-1)\/7). Suppose 2*n = f + 8. Solve -2*p - 4 = -n*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5462*v*x**3 + 2706*x**3 with respect to v.\nAnswer: -5462*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1168383816 to the power of 1\/2, to the nearest integer?\nAnswer: 34182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7305825 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.1 + 0.1. Let b = 0.04 + -0.05. Let a = b - 4.99. What is the second biggest value in a, -0.1, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13054 + 13054.2. What is the smallest value in -3\/4, m, -0.03, 2\/7, -0.1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -734.9429 + 735.3. Let j = l - 0.35. What is j rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 151 - 93. What are the prime factors of h?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 + 3. Suppose 0 = 2*w - 6 - 0. Suppose 0*m = w*m. Determine u(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.024 * -2309\nAnswer: 55.416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 28404823?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 17.4 + -160639\nAnswer: -160621.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2 + -0.3. Let d = 2.59 + -0.59. Which is the nearest to m? (a) -1\/5 (b) 3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000440916 to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1107 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 147611, 1180878, 3985463, 9447026, 18451227, 31883726, 50630183, 75576258?\nAnswer: 107607611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 - 12*h. Let k be s(-12). Suppose k = 5*m + 4*v + 4 + 2, 12 = 2*m - 2*v. Solve -8 = -2*f + 2*o, 3*f - m*f = 5*o + 16 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 109347136 and 12432?\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30 + -33030220?\nAnswer: -33030130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 3*d - 2*s - 58, -10 = 2*s. Let c = 42 + d. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, u: 4, b: 10, x: 4, h: 1}. What is prob of picking 1 x and 1 h?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -82 (b) -1\/8 (c) -0.11 (d) -26\/5 (e) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32.914628 - -0.0621.\nAnswer: -32.852528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1282 by 29.\nAnswer: 1282\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 60 + 40. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ahaebhci. What is prob of sequence ih?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/50127 or 1?\nAnswer: 1\/50127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 114.1324518 to 2 decimal places.\nAnswer: 114.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 33201*w**2 - 16603*w**2 + 2*w - 16598*w**2 - 2 + 2*w**4 + 29*w**3 as l*w**2 + z*w**4 + t*w + m*w**3 + u and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**4 - 10*k**3 + 5*k**2 + 10*k.\nAnswer: -5*k*(k - 1)*(k + 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 985294 (base 11) in base 2?\nAnswer: 110000000001011010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -85170 rounded to the nearest one thousand?\nAnswer: -85000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -33*p**2 - 2*p. Let r(i) = 8*i - 2. What is v(r(f))?\nAnswer: -2112*f**2 + 1040*f - 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -55 in -4\/9, 146, -6, -2\/5, -10\/7?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 194016600 a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24547179, 98188726, 220924643, 392754930?\nAnswer: 613679587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-146 - 147 + 288)*(4*j - 4*j - 2*j) as t + g*j and give g.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3455791 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1124420 (base 5) to base 11\nAnswer: 14537","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 235713787?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 170.0259498 nanoseconds in weeks?\nAnswer: 0.0000000000002811275625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 13. What is the tens digit of (-16)\/40 + 62\/o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of i**6\/120 - 11*i**5\/30 + 59*i**4\/24 - 20*i**3\/3 - 123*i**2. Let q be z(19). What is the third biggest value in q, -4, -0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 5*x**5 + 2*x**3 + 3*x**2 + 2*x. Let l(p) = 11*p**5 + 5*p**3 + 6*p**2 + 5*p. Let j(g) = 5*f(g) - 2*l(g). What is the third derivative of j(i) wrt i?\nAnswer: 180*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/13, -29, 1, 0.2, -20\/49?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/3)\/i)\/((i\/((i**7*i)\/i))\/i)*i**(-6)*i\/i**(-3\/8) assuming i is positive.\nAnswer: i**(41\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 325*g**2 - 161*g**2 - 162*g**2 + 20*g**3 + (g + g - g)*(3*g**2 - 4*g**2 + 3*g**2) to the form k*g**3 + p*g**2 + z*g + d and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 3:50 AM?\nAnswer: 5:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1501)\/395*8\/(-38).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 180 - h + 175 + 181 + 6*h - 533. Suppose -m = 4*m - 90. What are the prime factors of p(m)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n = -129*n - 31*n - 9*n - 11830 for n.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42974935.\nAnswer: 5, 773, 11119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19683728?\nAnswer: 2, 1230233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-5) + 23\/5. Suppose 148 = y*a - 102. Calculate the highest common factor of 20 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 8:14 AM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(2057) + 1*sqrt(2057) + 5)**2 + (sqrt(102) - -4*(sqrt(102) + -2*sqrt(102) + sqrt(102) + sqrt(102)))\/(sqrt(24)\/sqrt(4)*6))*4.\nAnswer: 5290*sqrt(17)\/3 + 66024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1755\/(-6) - 1)*(-6)\/9. Let d = g + -191. Do d and 4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2869*644.\nAnswer: -1847636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58, -107, -130, -115, -50?\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -428624282.378335 take away 0.4?\nAnswer: -428624282.778335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 5*d + 1, -5*d + 0*u = -3*u - 3. Suppose -2*b = -5*h + 24, 2*h - 3*b - 12 = -b. Suppose r = f + 6*r - 33, -f + h*r - 12 = d. Is 7 smaller than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507610 to the power of 1\/2, to the nearest integer?\nAnswer: 712","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 16*j + 3. Let v(w) = -31*w - 6. Let l(i) = 7*t(i) + 3*v(i). What is the derivative of l(u) wrt u?\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of -x**5\/60 + x**4\/24 + 15*x**3\/2 - 27*x**2 + 2*x. Differentiate g(h) with respect to h.\nAnswer: -2*h + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 120065 and 826885.\nAnswer: 336542195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 134 by -1065.\nAnswer: -134\/1065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 41, 59, 77, 95?\n\"Answer: 18*q + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 271\/2 + ((-18)\/(-4))\/9. Suppose -216 = -20*h - r. Let k be 2\/(-6) + 1\/3. Solve 2*f = 0, k*a + 2*a = -h*f for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10056157 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - 1) + -13 + (104 - 50) + -41?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*v + 18*v + 416. Let a = 10845775\/103912 - -5\/12989. Let y = a + v. Is y greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (836\/(-26) - 1)*(-4)\/12.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of k**2\/2 - 2. Let v(n) = 3*n**2 - 4*n**2 - 4*n**2 - 2*n**2. Calculate b(v(r)).\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4080)\/18326 + -3 + (-322)\/(-77) + -1.\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((12\/2)\/198)\/(1780\/(-9790))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 225877881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(816\/(-1044))\/34.\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (69*i**4 - 60*i**4 + 209*i**4)*(13*i - 6*i + 4*i).\nAnswer: 2398*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-52)\/91 - 3860\/(-6510). Let h = -190 + 1332\/7. Is j >= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1213 divided by -659\nAnswer: -1213\/659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of 999*c**4\/4 + 37*c**3\/3 + 12*c + 2168. Find the third derivative of v(r) wrt r.\nAnswer: 5994","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/407518 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -26 in -0.1, 0.4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 260720867.89 - 260720785.890000433. Let p = -82 + s. What is p rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28\/343*((-28)\/8)\/1*-49\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, i: 11}. Give prob of sequence iii.\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3090385707?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 - f + 1. Let k(n) = -n**2 - 4*n + 2. Let z be (-19)\/6 + 2\/12. Calculate z*h(v) + k(v).\nAnswer: 2*v**2 - v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 9) to base 16.\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 2\/7, -2, 4, 1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2333 is divided by 108?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 46\/5? (a) 0.5 (b) -0.3 (c) -16 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 690, 1153, 1402, 1437, 1258, 865, 258?\n\"Answer: -107*m**2 + 784*m + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -700 (base 8) in base 6?\nAnswer: -2024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -493674*c**5 + 2*c**4 + 898437*c**2 wrt c?\nAnswer: -29620440*c**2 + 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 PM and 9:33 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3660? (a) -16 (b) 6\/5 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9043?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 82373781043 - 0.3.\nAnswer: 82373781042.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 - (-9 + (53 - 10))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 3*s - 5, -13*s = -v - 12*s - 1. Suppose x - 1230 = -2*q + 545, -v*x = -q + 900. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -7*s + 3*s. Let c be (-2 - (3 - s)) + 0. Which is smaller: 3\/7 or c?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkfm when four letters picked without replacement from {k: 3, f: 2, a: 6, m: 5, h: 2}?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n - 11. Let g be f(-8). Let l = g - 1. What is the greatest common divisor of l and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5658 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 4. Let y(h) = h**2. Let t(l) = -l**2. Let w(d) = n*y(d) + 3*t(d). What are the prime factors of w(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 3*p - 5*p)*(2*p**3 - 2*p**3 + 2*p**3) - 2*p**4 + 0*p**4 + p**4 + 852550*p**2 + 20*p**3 - 852550*p**2 - 10*p**4.\nAnswer: -15*p**4 + 20*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 1\/3 (c) 43\/196\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 189 - 153. Solve 10*w - 14 = p for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194 is divided by 85.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 28 = 5*z. Is 12 a factor of (z\/(-4))\/(3\/(-726))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.999 rounded to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = -3*s + 2517 - 2519, 0 = -16*s + 8*u - 8 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j**3 - 6*j**2 + 7*j - 4. Let b be v(5). Let g be 0 + b\/2 + 1\/2. Calculate the greatest common factor of 44 and g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (12\/(-45))\/(4\/6). Let p = 37 + -57. Let h = 18 + p. Which is the biggest value? (a) -0.3 (b) h (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4392532767?\nAnswer: 3, 7, 209168227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -2653975.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12479\/362 + -5\/181. Let q = 8 + -11. Calculate the common denominator of q\/(-14)*312\/9 and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 20 = -256*j + 260*j, j - 5*p + 20 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5320 divided by 3\nAnswer: 5320\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 19 = 3*r + 2, 3*f - 5*r = -9. Suppose f*o = 14 + 6. Solve d - o = -d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + 4*y**2 - 2*y. Let w be j(3). Suppose -5 = 5*n, -339 = -w*a - n + 5. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 39.7, -0.2, -1, 0.1, -1\/4 in increasing order.\nAnswer: -1, -1\/4, -0.2, 0.1, 39.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (19\/(-24))\/((-12)\/(-120)) and 2\/(-7) + ((-4908)\/(-1792) - 4)?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**2 + 85*f - 260.\nAnswer: -5*(f - 13)*(f - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -536, 2\/11, -5, 2\/5, -1\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16927416, 16927412, 16927408, 16927404?\nAnswer: 16927400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130 - 706 = -8*w. What is the greatest common factor of 204 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*t - 1680 = 83*t. Calculate the smallest common multiple of t and 792.\nAnswer: 5544","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12003 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y**3 - y**2 + 6*y + 5. Let i be b(-3). Let j = 476 + -284. What is the highest common factor of i and j?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (134\/510)\/(5*(-10)\/219225). Let k = -1152 - n. Which is smaller: k or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3\/4 (b) -0.5 (c) -3 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 0.5 (c) -2\/3 (d) -5 (e) -1 (f) 37621\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-68)\/(-51)*-15.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + y - 173 = 0, -1335 = -323*g + 346*g + y for g.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = z - 1. What is the biggest value in -0.4, 3, z, -1\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 - 2*m**2 - m - 117. Calculate the remainder when c(-7) is divided by 73.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -5*j + w, 3*w = j + w + 15. Let z(p) = -17*p + 7. Let c be z(j). Calculate the highest common divisor of c and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1022002 - 120202?\nAnswer: -1212211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 51191 - 34635. What are the prime factors of i?\nAnswer: 2, 4139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z + 1. Let s = 329 + -327. Let u(y) = 2*y**2 + 61*y + 509. Let v(a) = s*u(a) + 6*w(a). Find b, given that v(b) = 0.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, q: 2, a: 3, e: 4, r: 1, d: 3}. What is prob of sequence la?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a. Let q(u) = -11*u**2 - u - 4. Give q(v(r)).\nAnswer: -11*r**2 - r - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -141407 + 989853\/7. Let x be (-16)\/18 + (-4)\/(-6). Which is the closest to 1\/2? (a) -21 (b) 4 (c) x (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yr when two letters picked without replacement from rrryyy?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + 9*l**2 - 4*l - 10. Let w be s(7). Let m = 27 - w. Let t be 208\/308 + (-6)\/m. Which is the smallest value? (a) -3\/2 (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 rth term of 178, 185, 196, 211, 230, 253?\n\"Answer: 2*r**2 + r + 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l - 7. Let k(u) = -2*u - 7. Let f(o) = -6*o - 1. Let c be f(-1). Let j(d) = c*w(d) - 6*k(d). Is j(8) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-10) - (-72)\/30. Solve -t = 3*s + 2, -s = -j*t + 3*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from boabaoaaavab. Give prob of sequence va.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 0 + 3*r**2 + 4*r - 2*r**2 - 8. Suppose -5*g = 4*q - 171, -5*q = -2*g - g + 73. What is the remainder when g is divided by c(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.111 - -4.911. Sort 148, z, 0.1 in ascending order.\nAnswer: z, 0.1, 148","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 60*s + 70 - 105*s + 49*s - 69. Let c be -3 + (1 - (0 - -1)). Let u(w) = -5*w - 2. Give c*v(r) - 2*u(r).\nAnswer: -2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 - -0.5. Let q be -2*(-2 - (3 - 6)). Let v be 4\/1 + (-124)\/32. Which is the nearest to z? (a) v (b) -5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 4:22 PM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + 3*h**2 + 131*h + 317. Determine p(14).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n**2 - 6*n - 6. Let j(d) be the first derivative of -2*d**3\/3 - 5*d**2\/2 - 5*d + 203. Determine -6*j(k) + 5*m(k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/42 - (-8)\/(-28). Solve k = 37*a - 33*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -321333411 (base 6) to base 14\nAnswer: -a797c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 205*o**3 - 3*o + 2. Let f be k(1). Let d(z) = -13*z - 46. Let j be d(-14). Calculate the highest common divisor of j and f.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2879993910?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23694 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*u**2 - 7*u**2 + 2 - 3 - 17*u**2 as w*u**2 + g + h*u and give w.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5366 and 0.788?\nAnswer: -4228.408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.97173 + -0.02827. Sort -2, -1\/7, p, 2\/3 in decreasing order.\nAnswer: 2\/3, -1\/7, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*o + 3*m, -10*o - 4*m - 8 = -14*o. Which is greater: -32 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 2*h - 63. Suppose -h*b + 10*b + 54374 = 0. What are the prime factors of b?\nAnswer: 2, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1064*v = 503*v + 5048*v - 687960 for v.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (23 - (-15 - -26)) + -19\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17322185 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77 divided by -1.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 126 + 14. Suppose -25*g + 540 = -10*g. Calculate the least common multiple of g and b.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*g + 79 + 481 = -16. Solve -28*t + 16 = -g*t + 4*f, 4*f - 12 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -104 + -9?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40, 52, 50, 28, -20, -100, -218, -380?\nAnswer: -592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -88 + 92. Let r be 138\/36 - 1\/(-6). Find the third derivative of -189*f + 189*f + u*f**r + 5*f**2 wrt f.\nAnswer: 96*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 2*k + 29 + 11 = 0, 0 = -3*k + 15. Let i(w) be the first derivative of w**3\/3 - w**2\/2 - 818. Let q(a) = -7*a**2 + 7*a. Determine p*i(s) - q(s).\nAnswer: s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -186, -372, -552, -726, -894, -1056?\nAnswer: -1212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 70\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -3*d - 18. Let z be -1*((d - 16) + (5 - 3)). What is the highest common factor of 65 and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-12)\/(-5))\/(3\/10). Suppose 0 = -y - 3*m + 16, -y + p = -2*y + 3*m. Let u be -5*1*(-1 - 0). Solve 0 = 2*s - u*g - 10, s + y = 2*s - 2*g for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nhhhahvv. What is prob of picking 2 h and 1 n?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100 + 88 = 4*u, -5*s + 2*u = -21 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*6*-1*sqrt(684).\nAnswer: 108*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.77 + 0.13. Let d = 0.5 - s. Let g = -0.06 - -3.06. What is the closest to g in d, -0.1, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + 6*f**2 + 3*f - 2. Let w(g) = 3*g - 8. Calculate the least common multiple of w(6) and n(-4).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.44475m in kilometers?\nAnswer: 0.00544475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - (-2)\/(2\/(-11)). Let a be (-3)\/2*12\/s. Solve -a*q - 7 = c, -5*c + 23 + 2 = -2*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 12:21 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2*o + 2 = 0, o - 37 = -3*u + 6*o. Put 0.3, u, 1.6 in increasing order.\nAnswer: 0.3, 1.6, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006411125 to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/5 (b) -2 (c) 13 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 221 a factor of 2336377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3467010 and -0.8.\nAnswer: 2773608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5, s: 3, p: 2}. Give prob of sequence pprs.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 852 - 108?\nAnswer: 744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b + 9. Let o be r(7). Let a = o + 8. Suppose v + a = 5*v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 7*x + 44*x = -153. Put 12, x, 161 in ascending order.\nAnswer: x, 12, 161","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1013 divided by -19193.\nAnswer: -1013\/19193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4806151 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (40 + -47 - (-15 - 0)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 0.057.\nAnswer: 0.285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 231 is divided by 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 4. Find the common denominator of -31\/18 and (-2)\/m - (-67)\/48.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.2775 times 9290?\nAnswer: 30447.975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 16575151 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*a**2 - 2*a**2 - a**2 - 35*a**3 + 0*a - 4*a + a to the form r*a**2 + v*a**3 + h*a + d and give v.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -4*g**4\/3 - 1648*g**3\/3 + 15160*g**2\/3 + 1648*g\/3 - 5052 = 0.\nAnswer: -421, -1, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.38095*1.78.\nAnswer: 2.458091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000059441 to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/(sqrt(12)\/sqrt(4)) + sqrt(180)\/sqrt(4))**2.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9)\/2*64\/(-144). Suppose -d*j = -3*j - w + 1, w + 35 = 5*j. Calculate the least common multiple of j and 11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -74, -142, -200, -242, -262, -254, -212?\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, -70, -1\/4 in decreasing order.\nAnswer: -1\/4, -2, -5, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 4 = -8. Let h(s) = -2*s + 5 + 7 + 2 + 8*s. Let m(d) = d + 3. Calculate n*h(o) - 14*m(o).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1368 + 2459. What is the hundreds digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 119 and 1853.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.9 - -0.1. What is the biggest value in 5, r, 1\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -177 + 281. What is the units digit of ((-4332)\/d + (-2)\/(-13))*-4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**5 - 2344*g**4 + 352644*g**3 - 2709664*g**2 + 5345344*g.\nAnswer: 4*g*(g - 289)**2*(g - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 10:47 AM?\nAnswer: 3:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 44\/(-14) - (-2)\/14. Let w be 3 + u\/(12\/20). Is (2\/w + 2)*223 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30 + 227. What are the prime factors of z?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 21\/2 of a milligram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1008510.8 and -0.4.\nAnswer: -1008511.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -99 - -98.8. Do j and -16 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b**3 + b**2. Let o(i) = 361*i**3 + 3*i**2. What is -3*h(v) + o(v)?\nAnswer: 355*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 112613 by 1.\nAnswer: 112613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 - 12*c. List the prime factors of n(-11).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -202222002021112 (base 3) in base 2?\nAnswer: -101010100000010001011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102803 divided by 53.\nAnswer: 102803\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w - 16. What is the lowest common multiple of z(-11) and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 2 + 3. Let t = n + 4. Let q(g) = -130*g + 145. Calculate the least common multiple of t and q(1).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -173 + 605. Is z a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*g - 4*g**2 - 4*g**2 - 16*g.\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 23 = -4*g, 4 + 7 = 2*r - g. What is the greatest common divisor of r and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3045 and 1470.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 19*w - 8. Let p be f(0). Let l = 84 + -84. Which is the closest to 1? (a) p (b) l (c) 1 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -3*f + 36. Let u(l) = 3*l - 37. Let j(c) = 3*i(c) + 2*u(c). Let k be j(14). Let v(t) = -26*t + 13. Is v(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 8 = t + 5, 0 = 4*r + 2*t - 4. Let o(n) = 106*n - 23. Is o(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -58*c + 107. Let f be k(2). What is the least common multiple of (((-3)\/f)\/1)\/(18\/1026) and 95?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -6 - (-118 - -147).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*w - 8*w + 53*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31 + -29. Let u be 2*79\/c - 3. Suppose -u - 50 = -3*w + 3*f, -5*w + 3*f = -216. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-4)*w**5*(w*w**1*w*w*w)**(7\/4) assuming w is positive.\nAnswer: w**(39\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 351 is divided by 71?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/291*(-4 + 1). Which is smaller: m or 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 333 - 12*g - 17*g + 27*g + 3715*g**2 - 332 to the form i + p*g**2 + l*g and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6347366 + 3?\nAnswer: 6347371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 16*n. Let j(m) = -10653*m + 1. What is j(r(o))?\nAnswer: -170448*o + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 763 - 362. Suppose -6*l = -f - 79. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4\/533 - 5294\/4797. Let k be (1038\/(-1))\/((-4)\/14). Let u = -25481\/7 + k. Find the common denominator of w and u.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -230557\/7 - -32937. Which is bigger: f or 35.69?\nAnswer: 35.69","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1923746079 + 160.\nAnswer: 1923746239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 13\/213?\nAnswer: 13\/213","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 7, -59, -415, -1205, -2573?\n\"Answer: -24*r**3 - r**2 + 105*r - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -a6c7ca8?\nAnswer: a6c7ca5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 - 26.4. Let w = 2.6 - o. Sort w, -1\/4, 0.\nAnswer: -1\/4, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 244016300 divided by -850.\nAnswer: -287078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -254*i**6 + 16*i**5 - 189*i**3 + 7645613*i**2 wrt i.\nAnswer: -30480*i**3 + 960*i**2 - 1134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -30*t - 18. What is the remainder when 70 is divided by f(-2)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(168) + -1*sqrt(168)*-5)\/((-2*sqrt(96))\/sqrt(8)))\/((sqrt(343) - sqrt(343)*-3)*3*1).\nAnswer: -sqrt(2)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 2\/5*n**2 + 183\/5*n + 36 - 1\/5*n**3 = 0.\nAnswer: -12, -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1432703 (base 8) to base 3\nAnswer: 202200021022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1638 + -1648. Sort z, -3, -2, 1 in descending order.\nAnswer: 1, -2, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 4*b**2 + 112*b - 1. Let l(p) = 165*p**2 + 1344*p - 12. Let a(g) = l(g) - 12*t(g). Let s(n) = -1 + 1 + n. Give s(a(o)).\nAnswer: 117*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 + o**2 - o. Let k be u(-2). Let h be ((-9)\/6)\/((-1)\/k). Let q = h - -9. What is the smallest common multiple of 9 and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12947 greater than 12946?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12346.9359 and 0.2.\nAnswer: -2469.38718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b + b + 3*b)*(-2*b + 3*b - 8*b) + (-2*b**2 - 6*b**2 - 5*b**2)*(28 - 13 + 19).\nAnswer: -435*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/24*42*(-8)\/(-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 - w. Let f(s) = 10*s**3 + 2*s**2 - 10*s - 2. Let b(i) = -f(i) + 2*h(i). Factor b(a).\nAnswer: -2*(a - 1)*(a + 1)*(4*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eoe when three letters picked without replacement from {o: 2, e: 6}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tkkkkktt. What is prob of sequence kttk?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 80 = -2*v + 50, -3*m + 17 = 4*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24715 is divided by 1123?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + -2 + sqrt(2) + 6*sqrt(10)\/sqrt(5))*-5*3 + -3)**2.\nAnswer: 10080*sqrt(2) + 24354","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 w when three letters picked without replacement from {s: 3, q: 1, r: 4, w: 1, z: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6770 - -6769.6. What is the third smallest value in 23, 20, p?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 540631.9 nanograms to grams.\nAnswer: 0.0005406319","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000066762674 rounded to 7 dps?\nAnswer: -0.0000067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 725*k**3 + 733*k**3 - 1455*k**3.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of 1\/6*x**4 - 1\/6*x**3 - x - 1\/15*x**6 + 0*x**2 + 1\/20*x**5 + 0. Factor g(b).\nAnswer: -b*(b - 1)*(b + 1)*(2*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/45 - (-123)\/189\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of -2*c**6\/9 + 49*c**3\/6 + 50*c + 2. Let u(g) be the second derivative of f(g). Let p(v) = v. Give u(p(q)).\nAnswer: -80*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1598 - -1515. Suppose -255 - 42 = 3*l. Let i = j - l. What is the lowest common multiple of i and 4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -3*b + 610, 8*b = 3*b. Let m = 202 + f. Does 12 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 + 5 + 76)*(5 - 1 - 5)*(2*a + 0*a - 6*a).\nAnswer: 256*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -417 - 425 + 51*i - 54*i - 425 + 1267.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 678*u - 1289*u + 4 + 641*u to the form j + d*u and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 239*w - 535 = -2208 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 5*f - 120 = -4*y, 5*y + 25 = 0. Let a = f + 351\/5. What is the biggest value in -5, a, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l + 10. Let u be ((-1)\/(-1))\/((-4)\/(-3) - 1). Suppose -5*c + 110 = 5*o, 100 = 24*o - 20*o + c. What is the remainder when o is divided by g(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from iiggiggg?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of 0*n + 1\/21*n**3 - 75 - 4\/7*n**2. Factor k(c).\nAnswer: c*(c - 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 9:58 AM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 567 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2142847 divided by 12?\nAnswer: 2142847\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5991500, -11982994, -17974488, -23965982, -29957476?\n\"Answer: -5991494*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1968.7 + 1967. Put 28, l, 0.4 in descending order.\nAnswer: 28, 0.4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35 and 3914519.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of h**4*p - 3*h**4 - 2*h**2*p - 4*h - 10*p wrt h?\nAnswer: 12*h**2*p - 36*h**2 - 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c + 3. Let r be b(-1). What is the highest common factor of r and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s + 3*s - 3*s - 6*s + 3*s + 4*s - s + s + 2*s + (-1 + 3 + 0)*(s - 2*s + 2*s).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 f, 1 o, and 1 x when four letters picked without replacement from fouofofpfxufue.\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -494396, -1977606, -4449622, -7910444, -12360072, -17798506, -24225746?\n\"Answer: -494403*n**2 - n + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m**2 - 109*m + 260. Let a be q(52). Solve a = -3*n - 6*n - 27 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1350 and 3?\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.7 + -0.145.\nAnswer: -0.845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8676 - 48324 = b. Round b to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1001310 - 10321?\nAnswer: -1012231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61278 divided by 14.\nAnswer: 4377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*u**3 - 183*u**3 + 80*u**3 + 52*u**3.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 875744.1 weeks to milliseconds.\nAnswer: 529650031680000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -185474.9028 + 38.9028. Let z = 185400.99936 + b. Let x = z - -35. What is x rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16208 is divided by 3241?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3223111 (base 4) in base 16?\nAnswer: -3ad5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -165954 + -5.33008889.\nAnswer: -165959.33008889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 2*p + 217 = p, -2*p + 286 = 4*h. Let v be (8\/12)\/(2\/h). Let u = v - 10. Calculate the greatest common divisor of u and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28868\/869, -0.3, -3\/5 in decreasing order.\nAnswer: 28868\/869, -0.3, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 22 + (-28)\/21*(-3)\/(-2). Suppose 4*q = -4*i + g, -3*q - 9 = -6*q. Solve -5*o + 4*z - 23 = i*z, -5*o + 3*z - 22 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (360 - -2) + (14 - 10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 3, -3, -0.5, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1381.64534 to one decimal place.\nAnswer: -1381.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12*(6 + -14 - -11). Which is bigger: 143\/4 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7158*o - 7161*o - 22 = 10*h, 5*h = -5 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61 = -16*c + 19 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 43\/2580*30*-20.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 544 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 213677 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0 (b) 0.251 (c) 0.4 (d) -0.5 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -179917668\nAnswer: -1\/179917668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -4*k**2 + 45*k - 45. Let a be i(1). Let c(x) = x**3 + 7*x**2 + 14*x + 5. Give c(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -185574 divided by 2211?\nAnswer: -61858\/737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 201*c - 2362*c + 2158*c.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a centimeter in micrometers?\nAnswer: 98000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 153328*f**2*i**4 + 9*f**2*i**2 - 2*f**2*i - 12*f*i**2 - i**4 - 111*i**2 wrt i.\nAnswer: 3679872*f**2*i - 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1241006?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 0*p + 3*j - 2, -4*p + 4*j - 24 = 0. Let v(i) be the first derivative of -i**3\/3 - 2*i**2 - 2*i - 3. Calculate v(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/13, 5, 4\/7, -0.2, -0.07, 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -16.1 * 23\nAnswer: -370.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**4\/5 + 2*o**3 + 31*o**2\/5 + 6*o.\nAnswer: o*(o + 2)*(o + 3)*(o + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -5550.\nAnswer: -1\/1850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyazza. Give prob of picking 1 a and 2 z.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1462*k**5 + 1206*k**2 + 3*k + 868501 wrt k.\nAnswer: 29240*k**3 + 2412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3241?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 4*x + 15. Let p(s) = -17*s - 65. Let h(v) = 52*i(v) + 12*p(v). Let o(f) = -f. Let t(a) = -9*a. Let w(g) = -3*o(g) + t(g). Determine w(h(k)).\nAnswer: -24*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-14596)\/11 - 4\/(-4). Let c = 1327 + b. Find the common denominator of c and ((-1)\/(-3))\/((-40)\/1488).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -333, -325, -313, -297?\nAnswer: -277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-1))\/((-1)\/((-6)\/7))?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1120 and 672.\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + 9035a00?\nAnswer: 9035a00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (2 + 4)) + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 535972580 a multiple of 2860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z + 231 + 69 = 0. Does 2 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x\/x**(-3\/8)))\/(x*x**(-1\/4)))\/(x**(-1)*x**(-3\/7)))\/((((x\/(x**(2\/9)*x))\/x)\/x)\/(x*x*x**0)*x**(-1\/2)*x\/x**(1\/5)) assuming x is positive.\nAnswer: x**(10649\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 + 4 - (104 - 92)) + 13 - (51 + -2).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 44696, 89404, 134116, 178832, 223552, 268276?\n\"Answer: 2*s**2 + 44702*s - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 6:25 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*q**3 - 21*q**3 - 16*q**3.\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31 - 28. Solve 0 = 2*r - c*r - 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93762576 divided by -30762?\nAnswer: -3048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*a**2 - 2558260*a + 2558094 = 0.\nAnswer: 1, 1279047\/83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -83*s**3 + 3*s**2 - s + 6. Let z be q(-3). Suppose 13*f = -z + 11975. List the prime factors of f.\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of 0*i + 3 + 19\/2*i**2. Let d(j) = -5*j**2. What is r(d(u))?\nAnswer: -95*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pr when two letters picked without replacement from rffpr.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.103 - 0.103. Let z = 5 + -2. Let m = z + -2. What is the biggest value in -0.2, m, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*i - 2*i. Suppose 9 = 3*c - 2*d - 111, 0 = 4*c - 4*d - 160. Suppose -5*v + c = -i*y - 0, 0 = -2*y. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -118*l - 131. Let x(d) = -33. What is h(w) - 4*x(w)?\nAnswer: -118*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = q + 57, 5*q = i + 3315 - 3327 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (t - t - t)*(3*t - 2*t - 3*t) - 3*t**2 + 2 - 2 - 3*t**2 - 10*t**2 + 29*t**2 to the form c + h*t + l*t**2 and give l.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2070, 2, -28 in decreasing order.\nAnswer: 2070, 2, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3652032 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*q**2 + 2*q**2 - 42*q**2 + 2.\nAnswer: -25*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of -a**6\/30 - 13*a**4\/12 - 487*a**3\/6 - a + 120. Find the second derivative of z(n) wrt n.\nAnswer: -12*n**2 - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.4? (a) -0.2 (b) 1\/26 (c) -1\/2 (d) -97 (e) -29\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from drkss. Give prob of sequence ds.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -117\/12506020 and 89\/460.\nAnswer: 12506020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 20\/((-5)\/(-20) - 10\/(-24)). Suppose 0 = 4*v - 2*v - 90. What is the highest common divisor of v and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101924881 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + q = -435, -3*k + 3*q - 4*q + 435 = 0. Let w be 1\/2 + (5 - k\/30). Factor 1\/3 - w*i + 1\/3*i**2.\nAnswer: (i - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1221250 and 53857125.\nAnswer: 538571250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66011163 is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 100, 92, 82, 70, 56?\n\"Answer: -x**2 - 5*x + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -174*95\nAnswer: -16530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/((-2)\/(-2)) + 79. Let b = 143 - g. Calculate the remainder when b is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1797\/8 (b) 4 (c) -39 (d) -1 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + (2 - 26) + (-208 - -197)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 66. Let b = -361.2 - -419. Let g = x - b. What is g rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 113190 divided by -6\nAnswer: -18865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -83.96 + 83. Let s = -1.09 - z. Let j = -0.554 - s. What is j rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.033258 minus 1731694674?\nAnswer: -1731694673.966742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/t**(2\/7)*t*t*t)**(2\/27)\/((t\/(t\/t**(-2\/19)))\/(t*(t**1\/t)\/t))*((t*t**(-4)*t)\/t)\/(t**(-2)*t)*t**(-1)\/t**4 assuming t is positive.\nAnswer: t**(-7835\/1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41299 is divided by 1653?\nAnswer: 1627","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - (17 - 41) - -46) + 12.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, h: 3}. What is prob of sequence jhj?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -0.5, 44, 15\/34, -6\/899 in descending order.\nAnswer: 44, 15\/34, -6\/899, -1\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of -b**6\/120 + 7*b**5\/60 + b**4\/4 + 4*b**3\/3 + 876*b**2. Suppose -k + 15 - 7 = 0. Give o(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -51 - -55. Put 5, 2, i in ascending order.\nAnswer: 2, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b = -7*b. Solve -5*w + 2*m + 2 = -6, b = -3*w + m + 4 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -21 + 1173?\nAnswer: 1152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 3*k - 98973 = 0, v = 4*k - 9*k + 32967. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/(-81))\/(4\/42)*2. Which is smaller: 3 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**3 - 3*b**2 - 4*b - 1. Let i be j(3). Is 14 != i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 41434*w**3 - 607*w**2 - 3*w - 3 wrt w?\nAnswer: 248604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/7, 7\/6, 52?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16.85 + 40.55. Which is the second smallest value? (a) m (b) -3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4079.\nAnswer: 4079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 478111855?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -85 times 1825?\nAnswer: -155125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qaallaqaqallnalla. What is prob of sequence nll?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -5*z**5\/6 - 889*z**4\/6 - 30107*z**3\/6 - 297343*z**2\/6 - 106660*z\/3 + 27400\/3 = 0.\nAnswer: -137, -20, -1, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 - 44*y - 477. What is the remainder when 44 is divided by c(-22)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**3 - 2607944*c**2 - 425083136240*c + 850176704288.\nAnswer: -4*(c - 2)*(c + 325994)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/((35\/(-2))\/7). Let z = 51 - d. What is the remainder when z is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + 4*b + 3*b)*(-7 - 3 - 1)*(2*b + 2*b - 2*b).\nAnswer: -154*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzz. Give prob of sequence zz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bg when two letters picked without replacement from jkkeerkrrrgbrrrbe.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*p - 3*p - p)*(-989*p**3 - 1642852*p**2 + 1642852*p**2) + p**3 - p**3 + 2*p**4 to the form b*p**4 + c*p**2 + k*p**3 + a*p + w and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - -11.3. Put k, -21, 4 in ascending order.\nAnswer: -21, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-4)\/g*g)**(1\/4)*(g**(-5))**40 assuming g is positive.\nAnswer: g**(-803\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 292*c**2 + 3531*c**3 - 83*c**2 - 90*c**2 - 119*c**2.\nAnswer: 3531*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 866 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -22*m + 536. Let o be d(22). Solve o*f - 115 = 93 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (0 - 0) - (-2 - -10) - -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i - 2. Let y be q(-10). Suppose a + 21 = 4*f - y, 101 = -3*a - 4*f. Let k be 56\/a*(0 - 5). Calculate the highest common divisor of k and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*x + 17 = 2*r, 4*r + 40 = 5*x + 51 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, -16, -59 in increasing order.\nAnswer: -59, -16, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 186*y**2 - 60*y**2 - 63*y**2 - 40*y**3 - 63*y**2.\nAnswer: -40*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 43786 + 0.806.\nAnswer: 43786.806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7372\/(-134) + (-1025)\/(-68675)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4140566.\nAnswer: 2, 2070283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llcc when four letters picked without replacement from {c: 3, l: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - 16*t**2 - 20*t + 10. Give h(-14).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 4*q - 26. Let j be t(5). Let h(f) = f**2 + 6*f - 3. What is h(j)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3*i**2 - i + 3. Let v(c) = c**3 + 9*c**2 + 4*c - 18. What is the remainder when y(4) is divided by v(-3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -22 in 1\/4, -2\/3, 1\/9, -0.1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {v: 2, b: 3, u: 3, c: 1, l: 2, n: 4}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l\/(l\/(l**(2\/9)*l*l)))**(3\/47)\/(l**(-2)\/l)**(-5))**19 assuming l is positive.\nAnswer: l**(-39463\/141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 15. Let c(h) = 2*h**2 + 2*h - 10. Is c(g) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cclp when four letters picked without replacement from ddlllcdplddclldlld.\nAnswer: 1\/4590","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**4\/11 - 1776*y**3\/11 + 529200*y**2\/11 - 53936064*y\/11 + 304946208\/11 = 0. What is y?\nAnswer: 6, 294","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*v + 288 + 132 = 0. Is v greater than or equal to 202\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1010\/2373 - 1\/339. What is the nearest to 2 in 58, -0.04, -0.2, a?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, -1118, 2\/719, 2, -8, -0.2?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.3 - -0.4. Let r = a + -8.1. Let q = -8 - r. Are q and 0 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 e when two letters picked without replacement from {e: 2, c: 10, i: 7, r: 1}.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -56 + 22 + 25 + 29 - 62*i. Let z(v) = -63*v + 19. Let b(u) = 4*d(u) - 5*z(u). What is the first derivative of b(j) wrt j?\nAnswer: 67","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 129339, 258638, 387915, 517170?\nAnswer: 646403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4808375 and 125.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -1602 + 7*s + 1602. Let g(v) be the first derivative of 13 + 0*v**2 + 2\/3*v**3 + 0*v. Calculate o(g(m)).\nAnswer: 14*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 979 + -1005. Which is the closest to 0? (a) 1 (b) m (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 + 5*s**2 + 7*s + 4. Let b be o(-4). Let q(y) = -y - 5. Let d be q(b). Factor -12*r**d - 2 + 6*r**3 - 6*r**2 - 10*r - 7*r**2 - r**2.\nAnswer: -2*(r + 1)**2*(3*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7423 - -2326. Is g at least as big as -5098?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011 (base 2) to base 6.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/1)\/(9\/360*-2). Put -3, 3, p, -1 in decreasing order.\nAnswer: p, 3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + -3 - -2)*-1. Let x be r\/(-66) + 19 + -19. Which is greater: 1 or x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 11:49 AM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i. Let s(y) = 83*y**2 - 5. Let c be (-14)\/147 + 65\/21. Let a(h) = -42*h**2 + 3. Let p(d) = c*s(d) + 5*a(d). Give p(w(f)).\nAnswer: 156*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 - 5 = 17*i + 4*l - 0, -6*i = 4*l + 4 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/4)\/(2\/(-4)). Suppose o*p = 1 - 49. Let k = p - -28. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 7*s - 9. Let i(a) = -16 + 6 - 2*a + 10*a. Determine 6*i(p) - 7*v(p).\nAnswer: -p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 211502 to the power of 1\/3, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*x = 104*x - 19744. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -c + 4*z, -4*c + 21 - 1 = 3*z. Suppose -q - 460 = -c*q - 4*a, 0 = -2*q + 2*a + 210. Let m = q + -14. Is m a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 11\/(-2) - (-6)\/4. Let o be p - (-2)\/((-4)\/(-6)). Let s be -3*(-1)\/(2 + o). Is 4 > s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = 154985*s - 154983*s + 39, -5*s - 35 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*d - 3*d + 0*d)*(7 + 5 - 5 + (0 - 3 + 4)*(17 - 45 - 36)) as o*d + r and give o.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1618 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32\/8)\/((15\/(-300))\/(((-3)\/(-12))\/1)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 7 = -19. Suppose -2*i + 29 = 4*q + 11, q = -w*i + 17. Factor 10*c**2 - 15*c**3 + 0*c**i + 4*c**5 + 5*c**5 - 4*c**5.\nAnswer: 5*c**2*(c - 1)**2*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 411988091 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)\/(sqrt(40)*1) - (sqrt(19)*2*1 + -1))**2 + (-3*(2*sqrt(171) - sqrt(171) - sqrt(171)))\/((sqrt(90)*1)\/sqrt(10)).\nAnswer: -3*sqrt(19) + 175\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - i)*(-4*i**2 + 0*i**2 + 2*i**2) + 196*i - 196*i - 111*i**3 - 23*i**3 + 4*i**3 - 2*i**3.\nAnswer: -130*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*x + 0*x - 7*x)*(36*x - 3*x + 15*x) to q*x + f*x**2 + a and give f.\nAnswer: -336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (x + 0*x + 0*x)*(-64 + 3 + 1)*(5*x**2 - x**2 - x**2) to q*x**3 + l*x + p + y*x**2 and give q.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -284 and 0.3683.\nAnswer: -104.5972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in five eighths of a milligram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*t - 22*t + 21*t + (-1 + 3 + 1)*(3*t - 7*t + 10*t) in the form x*t + u and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - l = -3*l + 26, l = -5*k + 49. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t + 5. Let g be x(-6). Suppose -g - 4 = -3*a. What is the second derivative of 7 + 2*i + 5*i**4 - a wrt i?\nAnswer: 60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from mmmlmmlmmmmm?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-7 - 1 - -21)) + 7.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n - 19. Calculate the common denominator of f(8) and 38\/95 + (-16)\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 5*n**3 - 8*n**2 - 8. Let a(u) = -u**3 - u**2 - 1. Give -6*a(l) + g(l).\nAnswer: 11*l**3 - 2*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 235 and 46295?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(1\/4)\/((c**(1\/6)\/c)\/c)*(c\/(c\/c**9*c))\/(c\/c**5)*((c*c*(c\/c**(1\/4))\/c*c)**(-13\/6))**9 assuming c is positive.\nAnswer: c**(-949\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -14*m - 62. Let h be k(-5). Let u(c) = -7*c**2 - 27 + 27 + h*c**2 + 0*c**2. Let f(b) = -b + 540. Give u(f(l)).\nAnswer: l**2 - 1080*l + 291600","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 516 is divided by 499.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -37, -45, -55, -67, -81, -97, -115?\n\"Answer: -n**2 - 5*n - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 3*t**3 - 3*t**2 - 1. Let x(z) = 2 + z**3 + 4*z**2 - 5*z**2 - 3. Suppose -2*j - j - 2*h = 5, h = j. Give j*x(p) + n(p).\nAnswer: 2*p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/18493 and -30\/314381?\nAnswer: 314381","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 3*p - 939, -p + n - 40 + 354 = 0. What are the prime factors of p?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/24*-2*(-1023)\/3410.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 19 times 25\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9 and -15881.\nAnswer: -142929","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 31\/2 of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 11:00 PM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5077 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -4*d**4 + 8128*d**3 - 4392284*d**2 + 263828048*d - 752172720 = 0?\nAnswer: 3, 65, 982","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2926*c - 510222 = -106434 for c.\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 1 - 9 - 2*c)*(-74 - 9 - 103).\nAnswer: 372*c + 558","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 4*t - 23. What is the remainder when (28 - 2) + 0\/1 is divided by o(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*y, -5*f + 41 = -f + y. Let u be (-4)\/(4 - 3 - -1). Let z = f - u. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 + 18*v + 20. Let b be n(17). What is the greatest common factor of b and 999?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.25 + 0.35. Let s = r + -0.0999675. What is s rounded to six decimal places?\nAnswer: 0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 246 and 23.\nAnswer: 5658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4690*p - 2512*p + 3*p**3 - 2178*p.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/((-1440)\/81)*-8?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 174\/(-351) + -4 + (-400)\/(-90)?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 11:38 PM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*c + 51*c = -108*c - 25*c. Put -5, c, -3, -21 in decreasing order.\nAnswer: c, -3, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 4) to base 16.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 140*g**2 - g - 1. Let s be z(-1). Suppose -4*b - 2*d = -126 - s, -15 = -3*d. Let p = -36 + b. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 247*b - 44527. Calculate l(180).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxkn when four letters picked without replacement from nnnkknxnxkknn?\nAnswer: 7\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -18*j**3 + j**2 - 9*j - 25. Let w(a) = a**3 + a + 4. What is -2*t(u) - 18*w(u)?\nAnswer: 18*u**3 - 2*u**2 - 22","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.15 in 0.3, 1, 7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1200 (base 12) to base 7.\nAnswer: -5610","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 7*w**3 - 2*w**2 - 3*w - 8. Let f be t(4). Let h be 3 + (-2638)\/f + 3. Let z = h + 3\/11. Calculate the common denominator of z and -107\/40.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of -27*g**5\/40 + 3*g**4\/4 - g**3\/4 + 11*g. Suppose d(w) = 0. Calculate w.\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of -u**6\/120 + u**5\/5 + 2*u**4\/3 - 25*u**3\/6 - 19*u**2 + 2*u. Does 42 divide r(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.458 from 0.0687551669.\nAnswer: -0.3892448331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 0 + 4 - 2)*(-7*b**4 - 29*b**4 - 29*b**4).\nAnswer: 130*b**5 - 130*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*o - 6*o + 35 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*j - 21*j - 12108. List the prime factors of j.\nAnswer: 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 21, 0, -5, 0.2, -7990, 3\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-113*i + 4 + 121*i - 3)*(40 - i - 40)*(-2*i + 23*i + 127 - 126).\nAnswer: -168*i**3 - 29*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*l - 18*l = 8. Suppose l*o = o + 9. Solve 2*j = c - o*j + 24, 5*c = -j - 16 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a centimeter in micrometers?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -58*x - 1339. Let k be s(-21). Is -121 greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1970671004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 351501183 to the nearest integer?\nAnswer: 706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + (-5 - 77) + 21.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 9*n**2 + 6*n + 10. What is l(8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 57208284 and 77175?\nAnswer: 1430207100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 97.47775 rounded to 1 dp?\nAnswer: 97.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 + 359*f - 1. Let q(p) = 2*p**2 + 389*p. Give 3*b(w) - 2*q(w).\nAnswer: -w**2 + 299*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2. Let q be c(-2). Suppose -2*i - f - 3 = -18, -2*i = -f - 9. Calculate the highest common divisor of q and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 297413*t**3 + 297726*t**3 - 594775*t**3.\nAnswer: 364*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -201 by -67.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 110709 and 144.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 21\/6 + 1\/(-2). Suppose m*b - 8*b + 60 = 0. Solve -5*a + a - b = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1997 + 1995.159. Let p = 0.181 + f. Round p to 1 dp.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -20016*z - 3961. Is u(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + -12 + 0 + 5 + -10 + -21 + -1.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + 2*y**2 - 2*y. Let x(z) = 3*z**3 - 3*z**2 + 11*z - 8. Let n(m) = m**3 - m**2 + 4*m - 3. Let u(p) = -8*n(p) + 3*x(p). What is 2*h(s) + 4*u(s)?\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 94fd (base 16) to base 7\nAnswer: 216125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x\/(x**20\/x))*x*x**(6\/11) assuming x is positive.\nAnswer: x**(226\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-10 - (-115)\/15)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of h**5*y + 21*h**4*y + 47*h**4 - 99*h**2*y + 5*h*y wrt h.\nAnswer: 60*h**2*y + 504*h*y + 1128*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*a**2\/7 + 82656225*a\/7 + 247968702\/7 = 0. Calculate a.\nAnswer: -3, 27552078","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.06089 - 25.07089. Let c = m - -25. What is c rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -15*(-12)\/54 - 64\/(-24). Solve -2*x = 2*v, 2*x = x + v + a for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 + -1. What are the prime factors of (m\/6)\/((-4)\/84)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 380605, -6, -7, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31\/8 + -59\/40. Let d = 41\/15 - m. What is the nearest to -0.38 in d, 0.2, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 3 (b) 2\/9 (c) 5 (d) 1 (e) 161.8 (f) -48\/13 (g) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/7 (b) -3 (c) 6 (d) 2 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 42\/(-189) + 2\/(108\/(-10401)). Let q = f - -193. Let z = 157\/4 + -39. Which is the nearest to 2? (a) z (b) 5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000733739 to 7 dps.\nAnswer: 0.0000734","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5.25442 * 0.7\nAnswer: 3.678094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*s**2 - 7*s**2 - 7*s**2)*(2 - 5 + 1) to the form r*s + t*s**2 + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 47 - 44. Suppose s = 5*f + z, 3*s - 5 = 2*f + 30. Suppose s*u - 15*u + 10 = 0. Solve 3*r + 5 = -3*p + 2*p, -5*r + u*p + 25 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.041816 and -6.507?\nAnswer: 0.272096712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 112672 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, 1, -0.5, -2\/7.\nAnswer: -38, -0.5, -2\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 286919.8 years in millennia?\nAnswer: 286.9198","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1903*d**4 - 2*d - 425?\nAnswer: -22836*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rorr when four letters picked without replacement from ororooooro.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5770751 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -60382\/17 + 3552. Which is the nearest to -2? (a) -16 (b) -10 (c) g (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence elg when three letters picked without replacement from nxelxgg?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -p + 4*p + 2*w, -5*p - 3*w = -5. Let l be p\/(-1)*(-46 - 3). Suppose 3*v + 9 + l = 2*u, u = -v + 19. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - 4*z**2 + z + 1. Let h be o(-5). Suppose 0 = -184*l + 180*l - 8. Calculate the common denominator of l\/7 - 309\/h and 25\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/6*(-2)\/(-2). Let m(k) = -k**2 - 25*k - 136. Let f be m(-16). Suppose -6*h + 164 = -2*h + z, -2*z = -f. Which is bigger: l or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99737.2421 rounded to the nearest 1000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/4023552 and -17\/8448.\nAnswer: 44259072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (4 + -3) - -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20425 (base 7) in base 15?\nAnswer: 1747","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -10*s - 3. Suppose 5*t - o = 6, 5*t - t - 2*o = s. Calculate the common denominator of 31\/(-3)*(t + 21\/(-11)) and 17\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -96, 27, -1\/11, 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*v = 10*v + 20. Solve 0 = -v*k - 0 + 16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 AM and 3:40 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 4*g - 9*g. Suppose -g*x - 3*x = 5*x. Solve 2*i + i - 3 = x, 4*a + 13 = 5*i for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 0, -3*w + 19 = z - 11. Suppose -5*o + 0*o = -20. Suppose -o*f + z = -2*f. Does 7 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184 is divided by (1 - 0)\/(15\/870).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*o**2 + 84*o**2 + 9*o**2 in the form y + l*o**2 + v*o and give l.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2)\/3*((-116)\/(-16) + 7) and -27\/7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*((c*c\/((c\/(c\/c**(-2\/3)))\/c)*c)\/c)\/c)**0\/(c\/(c**(3\/8)\/c)*((((c\/(c**(3\/5)\/c))\/c)\/c*c)\/c)\/c) assuming c is positive.\nAnswer: c**(-1\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 244 is divided by 84?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 56 divided by -19420\nAnswer: -14\/4855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of 5*v**4\/12 - 265*v. Let i(n) = -53*n - 2. Calculate j(i(w)).\nAnswer: 14045*w**2 + 1060*w + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -34 + 35 - 2*o + 4*o. Let s be 2 - (-2 + (2 - 0)). Let p(r) = 1 + 13*r - 2 + 0 - 15*r. Give s*g(d) + 3*p(d).\nAnswer: -2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/(-3))\/(6\/12735). Suppose -920 = 5*g + j. What is g rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 122 - 119. Let h be 11 + o + -7 + 3. Which is greater: 51\/5 or h?\nAnswer: 51\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 5*q = 71 - 76, 0 = 3*k + q - 16 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -213 (base 12) to base 3\nAnswer: -102020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w + 3723 = -5157. Is w a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -3*u - 5315, -5*u - h = -1860 + 10730. What is u rounded to the nearest one hundred?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(1\/(6\/252*-3))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -b**5\/5 - 11*b**4\/5 - 17*b**3\/5 + 11*b**2\/5 + 18*b\/5 = 0.\nAnswer: -9, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 18*n**2 - 1. Let t be q(1). Let l(y) = -2*y + 2. Let w be l(0). Find the third derivative of -r**3 - 18*r**3 + r**3 + t*r**w wrt r.\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-30)\/(-45) - 20\/(-6). Let n(h) = -h. Let w(a) = 4*a**3 - 4*a. What is s*n(y) - w(y)?\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/3 of a year?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of 2 + 9\/2*s**2 + 6*s + 2\/3*s**3. Let a be l(-6). What is the highest common divisor of a and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/42 - (-38)\/14. Let v be (-2)\/3*(0 + -3). Suppose 0 = -6*r - v + 20. What is the greatest common divisor of r and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 9*l**3 + 2*l**2 + 16*l - 15. Determine w(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000000001111010111010010 (base 2) to base 3.\nAnswer: -1011200120100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2\/5, -3\/2, -648, -6\/13 in descending order.\nAnswer: 4, 2\/5, -6\/13, -3\/2, -648","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -0.098 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 9 = 0, -p + 0 - 3 = 3*r. Let v be (-1 - -2)\/(r\/6). What is the units digit of 2 + -4*v\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.852 less than -9848313052?\nAnswer: -9848313090.852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 - 25.8. Let v = 5.94 + f. Round v to 1 dp.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 531286*x**2 - 14*x + 14*x - 531130*x**2.\nAnswer: 156*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 21 = 3*z. Suppose 0*b - 5*o + 17 = -b, -4*b + 5*o - z = 0. Suppose 0*l = -l. Solve 5*v = -4*a - b + 9, 5*a - 2*v - 24 = l for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + 2*q + 2*q + 4*q - 3*q + 0*q + (4 + 3 - 6)*(0*q + 0*q + 2*q) + 1 - 1 - 2*q)*(3*q - 3*q - 2*q).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-29)\/((-116)\/48) + (-6 - -1)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -10e + 5?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -53970 (base 12) to base 6\nAnswer: -2210220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 316 + -363. What are the prime factors of 591*3*w\/(-141)?\nAnswer: 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q**2 - 601369 + 601369 + 7*q**2.\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.02 + -3.28. Let z = d + 3. Let m be (-8)\/6*(-9)\/4. Sort m, 2\/11, z in increasing order.\nAnswer: z, 2\/11, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*f, -4*m - 7*f - 29 = -2*f. Let c = 16 - m. Suppose 4 - c = -3*n. Calculate the greatest common divisor of 48 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 700\/(-30)*(-3)\/2. What is the greatest common divisor of 5 and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + (1 - (-18)\/(-29)). Let r = -1309\/87 + k. Find the common denominator of r and -50\/7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0204968205 to three decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 3*d + 50 = -2*d, 0 = y - d for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -3\/120243050?\nAnswer: -3\/120243050","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -50*0.15816\nAnswer: -7.908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ks when two letters picked without replacement from {k: 3, e: 5, s: 8}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2, 5, 3\/2, 6, 3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 923.08479 to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/9)\/(6*22\/99)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.9098 take away 1?\nAnswer: -9.9098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/(-10))\/(3\/(-15)). Suppose 0*l = 4*l. Suppose j = -s + 3*x + x, 3*x + 3 = l. Let h(z) = z**2 + 5*z - 7. Give h(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1782 and 739134?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -47*f + 4928861 + 1551269 - 1603927. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8172?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-882)\/(-81) - 1) + 6\/54. Let q(i) = -9*i - 1. Let c be q(-3). Suppose -s + c = m. What is the greatest common divisor of s and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7200*l*w + 6*w + 2409 wrt l?\nAnswer: -7200*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 1 - 228\/95 - 0.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of 4*k**2 - k + 1. Suppose 38*g = 14*g - 24. What is r(g)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of -l**5\/20 + 11*l**4\/4 - 17*l**3\/3 - 7*l**2\/2 + 18*l + 3. Is a(29) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1454 (base 8) in base 6?\nAnswer: -3432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11500*h**5*j**2 + 471*h**5 + 7*h**2*j**2 - 220833*h**2*j wrt h.\nAnswer: 690000*h**2*j**2 + 28260*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.9*0.3219\nAnswer: -0.28971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 - 10*v - 12. Give a(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 + 3*p + 12. Let o be w(-5). Let n = 31 - o. Calculate the highest common factor of 81 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q + 9 - 9 + (-2 + 0 + 3)*(-3*q + 0 + 0) - 3*q - 4*q + 5*q + 10 - 13 + 3 + 27*q as c + r*q and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 67, 74, 91, 124, 179, 262, 379, 536?\n\"Answer: p**3 - p**2 + 3*p + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**2 - 17*q**2 + q**2 + 6*q**2 + q.\nAnswer: -11*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6461, -25708, -57739, -102554, -160153, -230536?\nAnswer: -313703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39019\/9 - 4331. Let v(n) = n**3 - 2*n**2 - 7*n + 6. Let o be v(4). What is the common denominator of ((-7)\/3)\/(o\/(-54)) and f?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289.595 kilograms in grams?\nAnswer: 289595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 5*d - 131. Let u(m) = 6*m - 134. Calculate -3*o(v) + 2*u(v).\nAnswer: -3*v + 125","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 0*k - 52. Let m be (-1)\/4 - k\/(-8). Which is the second smallest value? (a) 1\/2 (b) 1\/5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**4\/9 + 13864*x**3\/9 + 4009004*x**2\/3 + 24012448*x\/9 + 11999296\/9.\nAnswer: 4*(x + 1)**2*(x + 1732)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -150 - -87. Let s = 16 + u. Let f = s + 46.89. Round f to 2 decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10903 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 721 (b) 0.2 (c) 107\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/8, -3, 2\/47, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 38*n**3 - 6. Let x(w) = -608*w**3 + 95. What is -95*v(c) - 6*x(c)?\nAnswer: 38*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 0.5, 2\/3, -0.3, -35, 4\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -9 + (42 - 36).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -639*v**2 - 4*v + 47. Let s(c) = 1276*c**2 + 7*c - 99. Let g(h) = 5*i(h) + 3*s(h). What is the second derivative of g(q) wrt q?\nAnswer: 1266","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -91041.\nAnswer: 1\/91041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94192 is divided by 232?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -1. Suppose 5*c + 0*p = 3*p + 163, -2*p = 5*c - 158. Suppose -i = -2*g - u*i + 31, 4*g + 4*i = c. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -14. Let y be (4\/(-6))\/(b\/45). Suppose -5*i - 1 + 64 = 4*m, -3*i - y*m + 43 = 0. List the prime factors of i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96537070?\nAnswer: 2, 5, 7, 37, 37273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -14628, -29283, -43938, -58593?\n\"Answer: -14655*z + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 6*m**3 + m**2 - 2*m. Does 8 divide c(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2035 + 1321. Is f a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 687 + 39. Let d = -429 - t. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/14 + 66\/14. Let t = 1 + 1. Suppose t*z + 13 = -5*q + 41, -5*z - 35 = -b*q. Calculate the remainder when 10 is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 1878*x - 7529. Calculate d(4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q. Let o(d) = 3*d - 1. Let y be 4\/(1\/1 + -2). Let s = 0 - -3. Let m = y + s. What is m*o(j) - 4*v(j)?\nAnswer: j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1885987?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/10 (b) -0.5 (c) 0 (d) 4\/45 (e) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/41680608 and -23\/11952.\nAnswer: 125041824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1998, -2007, -2016, -2025, -2034?\nAnswer: -2043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/(-2) - -1)*16\/5. Solve -5*n = -7 - v for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -41 - -41.39. Let t = 0.89 - s. What is the closest to -0.1 in t, -5, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, g: 1, d: 3, c: 5, i: 2, q: 6}. Give prob of sequence ng.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1180, 4681, 10502, 18637, 29080, 41825, 56866?\nAnswer: 74197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, z: 3}. Give prob of sequence nznn.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 2.072836mm?\nAnswer: 0.000002072836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k*((k\/(k*k**3))\/k)\/k)\/(k*k*k*(k**3*k)\/k*k*k*k*k)*(k**(2\/13)\/k)\/k*k**(-1\/5))**34)**(-3\/43) assuming k is positive.\nAnswer: k**(99756\/2795)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -90*z + 92*z + q, -3*z + 10 = -q. Factor 0 - 10\/19*p**4 + 4\/19*p + 2\/19*p**5 - 14\/19*p**z + 18\/19*p**3.\nAnswer: 2*p*(p - 2)*(p - 1)**3\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate r - 35 - 85*r**3 + 85*r**3 - 3*r**4 + 94 wrt r.\nAnswer: -12*r**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0, 5, 29, 1\/10, -0.333?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-990)\/(-117) + 12\/(-26). Let i(o) be the first derivative of -75\/2*o**2 - 125*o - 5*o**3 - z - 1\/4*o**4. Find p such that i(p) = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kykskkykskkyykkkdks. What is prob of sequence kky?\nAnswer: 220\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 113553 and 190387089?\nAnswer: 2094257979","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 282841493?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 12 = 3*s, -4*m + 3*m + 3 = -5*s. Suppose s*f = -2*a - 4*f + 8, -5*f - 17 = -2*a. Suppose 3*g = a - 9. Sort g, 2, 4 in descending order.\nAnswer: 4, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 42*t. Let l(f) = -160*f. Determine l(u(x)).\nAnswer: -6720*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 17*l - 38. Give j(5).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7182 + 7179. Which is the fourth smallest value? (a) -1 (b) 3 (c) 1\/6 (d) 3\/2 (e) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -409 (b) -1 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21413 + 21468. Calculate the remainder when 553 is divided by t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -473*m + 366*m + 6144 = 405*m for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d + 48. Let r be h(23). Suppose -678 = -4*i + m, -5*i = r*m - m - 852. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 10*w**2 + 10*w + 6. Let f be u(-9). Let i(x) = -9*x**2 - 4*x + 8. Let y(q) = -5*q**2 - 2*q + 4. Give f*i(p) + 5*y(p).\nAnswer: 2*p**2 + 2*p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -852, -874, -934, -1050, -1240?\nAnswer: -1522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1323) + 2)*-5 + sqrt(1323) + (sqrt(1323) + 1 + sqrt(1323))*4)**2.\nAnswer: -1008*sqrt(3) + 21204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 3*b + 8. Let o(r) be the third derivative of -7*r**4\/24 - 5*r**3\/2 + 4*r**2. Let p(y) = 3*o(y) + 5*q(y). Find the first derivative of p(h) wrt h.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -932.\nAnswer: -1\/233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - v = -4*q + 12, 2*q - 4*v - 30 = 0. Is 14 smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*a + 1 = -38*a, 3*i - 2*a - 244 = 0. Which is smaller: 3 or i?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -28510161350 to the nearest 1000000.\nAnswer: -28510000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 299 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 6*y = -y - 4830, 4*a = 2*y - 3872. Let k = -454 - a. Is 27 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 8) in base 2?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 99093?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 PM and 7:37 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 8*n**2 + 8*n - 2. Let x be f(-6). Let b = 43 - x. Suppose u - 4*d = 33, 3*d - d = -u + b. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -2*r - 1, -3*a - r + 2 = -0*a. Suppose -2*b + 0*u + 12 = -2*u, 0 = 3*b - 4*u - 14. What is the lowest common multiple of b and a\/(-2)*(1 - 21)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 16867*b**3 + 51*b**2 + 9*b + 878. Let k(h) = 4217*h**3 + 12*h**2 + 2*h + 219. Let g(l) = -4*f(l) + 17*k(l). Find the second derivative of g(i) wrt i.\nAnswer: 25326*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/120 + (-245)\/30.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3 - 22*h**2 + 40*h.\nAnswer: h*(h - 20)*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1309392 and 1496448.\nAnswer: 10475136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2539793, 2539801, 2539819, 2539853, 2539909, 2539993, 2540111, 2540269?\nAnswer: 2540473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 18119198, 18119210, 18119230, 18119258?\n\"Answer: 4*y**2 + 18119194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 8*w**2 - 33*w + 61. Calculate r(5).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + 8. Calculate the least common multiple of w and 20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 6 - 126*z + 79*z + 57*z - 3. What are the prime factors of m(5)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4, -7\/9, 0, 17\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 15 - 24 = 0. Let s = 16025\/4 + -3982. What is the common denominator of s and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 296\/(-104) - 2\/13. Let j be -1 + 0 + y - -7. Suppose -12 = j*o - 36. Solve -5*i = -5*v + 15, -3*v + 2*i + 0 + o = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.3 - -0.5. Let t = -0.54 + -1.56. Let c = t + b. What is c rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 12 = -v. Let g(b) = -8*b - b**2 - 2*b**2 + 3*b - 2*b**3 + 3. Let k(p) = -4*p**2 + 0 + 2 - 3*p + 2*p**2 - p**3. Calculate v*g(x) + 5*k(x).\nAnswer: x**3 - x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 + 0)*(-5*p + 4*p + 0*p)*((37 + 2 - 88)*(0 - 1 + 2)*(-1 + 4 - 5) + 0 - 3 + 2) as a*p + m and give a.\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 387111 to the power of 1\/2, to the nearest integer?\nAnswer: 622","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*z - 3*z + 5*z + z.\nAnswer: 73*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -445, -1087, -2171, -3709, -5713, -8195?\nAnswer: -11167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4275, 1, 5, 0, -22.\nAnswer: -4275, -22, 0, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.8 + 0.9. Let h = 0.2 - -0.3. Which is the third biggest value? (a) -1\/5 (b) h (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of l**5\/20 - l**3\/3 + 3*l**2\/2 - 43*l - 44. Let d(j) be the first derivative of o(j). What is d(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + 101202111200122?\nAnswer: 101202111200201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*(-1)\/10)\/(6\/4).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1511 + 3253. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -50*s**4\/7 + 2440*s**3\/7 - 8788*s**2\/7 + 1544*s - 630 = 0.\nAnswer: 1, 7\/5, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 + -4 - -2) + 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.2047 - -5.1. Round p to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oe when two letters picked without replacement from {r: 1, o: 1, m: 1, e: 2, k: 1, v: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2064518.\nAnswer: 2, 1032259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 2 (b) 4 (c) 0.068\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (4\/6*(-2)\/(-28))\/((-57)\/(-513))\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (2 + (-3 + sqrt(12)\/sqrt(4) - sqrt(30)\/(-1*sqrt(10))) - ((sqrt(432) + sqrt(432) + 2)**2 + sqrt(3)*1 + -5)).\nAnswer: -1731 - 95*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -24 in -590, 3\/8, 134?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -4*w + 3. Let i(p) = p - 1. Let y(h) = -6*i(h) - 2*s(h). Let j(x) be the second derivative of 2*x**3\/3 - x - 7. Give y(j(q)).\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4778 - 23270 = -3*u. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -177*a**3*d + 7*a**2*y - 4*a*y + 27*a - 2*d wrt a?\nAnswer: -1062*a*d + 14*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34630.\nAnswer: 2, 5, 3463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -516436*m + 7230098. Give p(14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 42 = -4*m, 2*m + 7*f + 268 + 330 = 685 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-54)\/189 + 88\/14. Put 2, m, 0 in decreasing order.\nAnswer: m, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 5*g - 4*g)*(121 + 123 - 54) + 5 - 5 + g.\nAnswer: 381*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 AM and 3:13 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 13 = 4*f, 2*i + 20 = 20204*f - 20200*f + 6 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/(-18))\/5*-6*3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74 is divided by 43.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -1432595 + 192595. What is j rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -109 - (15 + 27 + -159)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 744379 is divided by 4653.\nAnswer: 4552","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -30*q + 185. Suppose 0 = -8*b + 49 - 1. Let c be x(b). Solve -48 + 15 = -5*m + 2*j, c*j = -m - 15 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -7. Let m(q) = 2 - 4*q - o. What is the tens digit of m(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -0.4, 2, 1, -3, -1\/2421.\nAnswer: -3, -0.4, -1\/2421, 1, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -77, -200, -405, -692, -1061, -1512, -2045?\n\"Answer: -41*z**2 - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15 - 53.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4304142 - 11242?\nAnswer: -4315414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33010031311 (base 4) to base 8.\nAnswer: -17041565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of 13*d**3\/6 - 181*d**2\/2 + 59*d. Let u be o(14). Solve -5*a = u - 6 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-6))\/(29*(-54)\/(-98658)*7\/(-10)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d - 34*d**2 - 2*d + 2 + 3*d - 14*d**2.\nAnswer: -48*d**2 + 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = 0, -2*q - 15 = 3*i - 0*q for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7 or -121\/16?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-1))\/((-10)\/5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 25*g**4\/4 - 13835*g**3\/4 - 11139417*g**2\/2 - 8904880*g - 3561064 = 0.\nAnswer: -706, -4\/5, 1261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 - (-15)\/(-2))*-4. Suppose 4*l = 2*m + 72, -3*m + j + 2 = 2*l. Suppose -5*z = -2*s - s + 49, 2*z = s - l. 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 v be (0 - 6\/(-8))\/(3\/6). Let f(x) = x**2 + 3*x - 8. Let l be f(-6). Let j be (-4)\/l - 3\/(-20). Which is the third biggest value? (a) j (b) v (c) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 48010055 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*y - 5589 - 707 = 3165 + 1615 for y.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 1300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 333*c + 2012850 = 342*c. Suppose -64*b = -59*b - c. What is b rounded to the nearest one thousand?\nAnswer: 45000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9.7, 0.2, 23, -2\/5, 3\/4, 4 in ascending order.\nAnswer: -9.7, -2\/5, 0.2, 3\/4, 4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 2*h**3 - 5341610*h**2 + 3566607686414*h - 10699774984806 = 0.\nAnswer: 3, 1335401","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 17479946\nAnswer: -1\/17479946","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 304609?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -8 + 28. Suppose -s - 59 = -5*c, n - 3 = s. Does 4 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9369123 and 498.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.13 + -0.27. What is the closest to -1 in 5, -4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7.405 in -10, -1, 4, 11, -0.3?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/16 + (-116)\/(-928). Solve -4*z - 4*l + 6 = -10, 2*z + 3*l - 11 = a for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 - 7*n + 2. Let r be h(6). Let t be 0\/(3 + 1*-2). Let w(g) = g**3 + g. Let x be w(t). Put -2, r, x in decreasing order.\nAnswer: x, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34 + -18 - ((-2 - -9) + 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 + 4*r - 3. Let w be x(4). Let u be -8*1\/6*w. What is the first derivative of 107*d**4 - 141*d**u - 35 + 13 wrt d?\nAnswer: -136*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 30*k**2. Suppose -z + 15 = 5*o, o - 5 = -3. Let f be z\/7 - (-12)\/42. What is the remainder when r(f) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 29950, 29943, 29936, 29929, 29922?\n\"Answer: -7*y + 29957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, -8, -688, 4, 0 in increasing order.\nAnswer: -688, -8, 0, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 14 - 8)*(0*n**2 + 0*n**2 + 5*n**4).\nAnswer: 10*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 14 = -4*f, f - 49 = -3*f + 5*o. Suppose f = -2*i + i. Let v(k) = -14*k + 18. What is the units digit of v(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(sqrt(77)\/(1*sqrt(7))).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven halves of a year?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12363 (base 8) to base 5.\nAnswer: -132423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 + 2. Let z be o(0). Let b(i) = i**3 - 3*i + 2. Let y be b(z). What is the third derivative of -2*t + y*t**2 - t + 3*t + 2*t**6 wrt t?\nAnswer: 240*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 4\/(-14) + 1334\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 x when three letters picked without replacement from vxxxxvvvxxxvvxvxxxvv?\nAnswer: 33\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1345*i + 4045*i - 1348*i - 2*i**2 - 1352*i - 5*i**2.\nAnswer: -7*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 271116634.\nAnswer: 2, 43, 3152519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t**5 + 5*t**4 - 40*t**3 - 60*t**2 = 0 for t.\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6388, 12857, 19334, 25825, 32336?\n\"Answer: m**3 - 2*m**2 + 6468*m - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 19*u**2 - 2*u. Let l(d) = -d**2. Determine 3*l(a) + z(a).\nAnswer: 16*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -97*f**5 - f**4 + f**3 + 3*f**2 + 3188*f.\nAnswer: -5820*f**2 - 24*f + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 + -6. Suppose 6 - 26 = -5*d. List the prime factors of (d\/x)\/((-5)\/(-50)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 286 = 31*l - 5*l. Suppose -7 = 18*a + l. Put 5, a, -5, -136 in ascending order.\nAnswer: -136, -5, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 22081539385.3 from 0.018.\nAnswer: -22081539385.282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 8*g**2 - 2)*(-2*g + 3*g - 4*g) - 3*g**2 - g**3 + 2*g**2 + 3*g**3.\nAnswer: 26*g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6930.2 - 6933.2. Let m = -1 - -1. Let b = 0 + m. Put b, t, -0.1 in descending order.\nAnswer: b, -0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -5*a, -2*h - 4*a + 32 = 2*h. Suppose -2*f + 5*o = -4, o - 4*o - h = -2*f. Find the first derivative of 10*d - f*d**2 - 1 - 10*d wrt d.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3537 is divided by 1163?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*f + 43. Suppose 2*p + 3*p = 165. Calculate the remainder when p is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (27\/(-54))\/(10\/8)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -20) + (282 - 267).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x*x\/(x*x*x**(2\/7))*x)\/x))**(2\/53)\/(x\/((x\/(x\/(x*(x**(-8)*x)\/x)))\/x)*x**(-2\/9)) assuming x is positive.\nAnswer: x**(-29147\/3339)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 3\/172, -0.4, 2\/11, -5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29966 (base 13) to base 6.\nAnswer: 1403232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3353274 or 3353272?\nAnswer: 3353274","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-24)\/(-18)*(-3 + (-30)\/(-4)). Solve -2*y + 10 = 5*b, -1 = -b + y - v for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.8571957 millennia?\nAnswer: 85.71957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 12:21 AM?\nAnswer: 9:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 330449 is divided by 110146.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10385.9 + -10386. Let i = 484\/9 - 54. What is the closest to c in -10, i, -1\/2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (123\/(-45)*-6)\/((-3)\/(-15)). Solve 84*x + 2*q = s*x + 10, -25 = -5*x + 5*q for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 6*g**3 - 36*g**2 - 6*g - 85. Let j(b) = -18*b**3 + 120*b**2 + 20*b + 255. What is -10*c(p) - 3*j(p)?\nAnswer: -6*p**3 + 85","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1627*g - 223*g**2 + 440*g**2 - 219*g**2 + 369*g.\nAnswer: -2*g**2 + 1996*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -253 = -13*d + 124. Solve 0 = 2*i - d + 21 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = 4, -c - 3*c - 11*s = -5*c - 2*s + 43 for c.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 330337514 to the power of 1\/2, to the nearest integer?\nAnswer: 18175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 - 9*i + 22. Let b be y(3). Solve -a + 29 = 5*c, 4*c - 5 + 1 = b*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z + 2*z + 3*z - 2*z. Let t(f) = 3*f. Let d(h) = 6*h + 5*h - h. Let i be d(-1). Calculate i*g(j) + 6*t(j).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence volc when four letters picked without replacement from vlolclovoov.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from klkblgnblknny. What is prob of picking 2 b and 1 n?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence imrp when four letters picked without replacement from {r: 2, p: 3, t: 4, i: 3, m: 1, s: 2}?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 85489778?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 8 + g + 5 - 2 + 4. Let r = 3 - -8. List the prime factors of d(r).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85) + -1*sqrt(85)*5 - sqrt(85) - sqrt(85))\/(sqrt(160)\/sqrt(8) + sqrt(5)).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1312110 (base 4) to base 6.\nAnswer: -55020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -64 + 5632*x**3 + 25*x + 319*x**2 - 426*x**2 + 1764*x**5 + 679*x - 2805*x**2 - 5124*x**4 = 0.\nAnswer: 2\/7, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**4 - 2*f**3 + 19*f**2. Let w(l) = l**3 + l**2. Let s(b) = q(b) + 2*w(b). What is the third derivative of s(d) wrt d?\nAnswer: -24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -73 - 2*j**3 + 15 - 21*j**2 + 3*j**3 - 28*j + 16*j**2. Let i be w(-17). Round i to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of -1\/12*i**5 + 0*i + i**2 - 1\/120*i**6 + 1\/6*i**4 + 0 - i**3. Let z be 16\/(-3) + (-4)\/6. Calculate b(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/2 - 13*q**2\/2 + 39*q\/2 - 27\/2.\nAnswer: (q - 9)*(q - 3)*(q - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -6*v. Let h(l) = -4*l**2. Determine w(h(o)).\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.9397 rounded to one decimal place?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -84087 - -5?\nAnswer: -84082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 381 + -257. Let r = n + -120. What is the third smallest value in r, -5, 0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - 14*u**2 - 5*u + 2. Let g be q(-14). Suppose -g = -2*t + 32. Does 28 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((100\/15)\/5)\/((-2)\/(-171)) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -53412, -679 in decreasing order.\nAnswer: 1, -679, -53412","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -20 (b) 0.1 (c) -317\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 310027918?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10764*b + 38716 = -138462 - 141736 + 71342 for b.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7\/242 in 2, 4, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13600957?\nAnswer: 179, 75983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1021201114323 - 10?\nAnswer: 1021201114313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 5:01 AM?\nAnswer: 3:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 9) to base 3.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31 + -43. Let m = 12 + r. What is the second biggest value in -1\/5, m, 0.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 65 = -175. Let r = 89\/2 + g. Is -5 smaller than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0)*((u - u - 3*u)*(1 + 3 - 2) - u - 1 + 1).\nAnswer: -14*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of -3*o**4\/4 - o**3 + o**2 + 2*o + 7. Let v(i) = i**3 + i**2 - i - 1. Calculate 2*v(s) + z(s).\nAnswer: -s**3 - s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, m: 8, s: 1, g: 2, b: 1, e: 3}. Give prob of picking 1 g and 1 s.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 - 30. Let o be 41164\/14 + n\/28. Suppose -5*c + q = -o, 5*q = 2*c - 0*c - 1199. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14.54209873 - 14.542. What is l rounded to 5 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66 + (42 - (88 - 34)).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -w**4\/4 - 117*w**3 - 5185*w**2\/2 - 15075*w - 100125\/4 = 0?\nAnswer: -445, -15, -5, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3308014.\nAnswer: 2, 19, 263, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + -7c72630?\nAnswer: -7c72629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of l**3\/6 - l. Let m(f) be the second derivative of -2*f**3\/3 - 21*f + 6. Calculate m(z(g)).\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50982592 is divided by 222?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 909 + -913. What is the nearest to -0.1 in -217, m, 0.3, -2\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110001110110000100100 + 110010?\nAnswer: 110001110110001010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4*-1*903\/(-24)*134\/469\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2560 is divided by 2517?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u - 5. Let b be z(5). Let r(j) = -761*j + 7614. Let l be r(10). Solve -b*i = -l*i - 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72653467 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {n: 5, j: 2}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence phph when four letters picked without replacement from {h: 3, p: 5}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 (base 15) in base 8?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - -17) + -29 - -15 - (-13 - -1)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36796 is divided by 158?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -3.06?\nAnswer: 6.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2*sqrt(243)*2 + sqrt(243))**2*-3.\nAnswer: -54675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1024840211 a multiple of 768?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1051043 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s + 45. Let h be q(-21). Let w be ((-13)\/78)\/((h\/(-4))\/3). Let k = -212\/3 - -70. Which is the third smallest value? (a) 1 (b) w (c) 3 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79505?\nAnswer: 5, 15901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide (1\/(2\/(-19)))\/((-32)\/128)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -2*a - 25 + 181, 2*a - 168 = -5*r. Let f = 10 + a. List the prime factors of f.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 12:12 PM?\nAnswer: 12:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 282 minus 40117.149?\nAnswer: -39835.149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*m = 91*m + 640. Calculate the least common multiple of 140 and m.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 1\/2, 1.2 in increasing order.\nAnswer: -1\/5, 1\/2, 1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) -2 (b) 2 (c) -4\/29 (d) -0.2 (e) -2\/147\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*y**4 - 11*y**4 - 61*y**4)*(20*y - 20*y + 35*y)*(1 + 0 - 3 + (-4 + 4 + 2)*(-2 + 4 - 3)).\nAnswer: 11060*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 5*l - 2*m, 4*l - 8 = -4*m + 5*m. Let j be -3 - (l + -2) - -6. Suppose b - 4*x - 27 = 0, 4*b + b - 103 = j*x. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a century in years?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - 9*a**2 + 563*a - 6408. Calculate j(11).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -3. Suppose 5 + 2 = w. Let f be w\/3 + 4\/6. Solve 2*k = -i + 4, -p*k - 8 = i - f*k for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 9*n**2 - 3. Let y(v) be the third derivative of -v**5\/12 - 7*v**3\/2 - 80*v**2. Let g(l) = 3*l**2 + 12. Let d(c) = -7*g(c) - 4*y(c). What is d(s(x))?\nAnswer: -81*x**4 + 54*x**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-4) + 238\/28. Let v = 13 - 5. Is i greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*s + 37*s + 477 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.34 times -16.697?\nAnswer: -22.37398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 8*x = -12*x - 12, 20 = -5*r - 2*x for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjmjjjjgmgjjjjmmmj. Give prob of picking 3 j.\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**2*g)**(2\/11)\/(g*g\/(g**(-2)\/g))**(-2\/57)*((g*g**2)\/g*g**(5\/4))**(-14) assuming g is positive.\nAnswer: g**(-56153\/1254)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 5*c - 1408 = 911, -2*d + 1157 = -3*c. Is d a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 176\/7*h - 160\/7 - 58\/7*h**2 + 6\/7*h**3.\nAnswer: 2*(h - 4)**2*(3*h - 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9329296*d**3 - 3*d**2 + 497901?\nAnswer: 55975776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3 + 0.1. Let u = 2.2 + -2.6. What is the closest to s in 0.3, u, -0.5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -56*p**2 + 8*p - 5*p - p to r*p + q + y*p**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h + 21. Let z(p) = -2*p**2 + 254*p. Give t(z(w)).\nAnswer: 2*w**2 - 254*w + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -4*v + 5. Let y = -2 - v. Suppose 5*a = 36*a - 155. Solve -4*t + 40 = a*k, 2*t = -y*k + 3*k + 6 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 3:48 AM?\nAnswer: 2:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/16*(2\/30 + (-27)\/45)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*q**2*x**2 - 241*q**2*x + 2*q**2 + 1447*q with respect to x.\nAnswer: -6*q**2*x - 241*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 - 4*q**2 - 6*q - 4. Let z be r(-4). Let l be (-1 + -7)\/(3\/(-12)). Let k = l - z. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/3? (a) 8 (b) -3\/16 (c) -74\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 3*z**2 + 8*z - 4. Let p(v) = 4*v**2 + 14*v - 7. Let k(w) = -7*a(w) + 4*p(w). Let s(q) = -3 - 13*q + 3. Give k(s(r)).\nAnswer: -845*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7011)\/38171)\/(12\/14)?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -23469608?\nAnswer: -93878432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -118*t**2 + 3*t + 16. Let y(m) = 59*m**2 - m - 7. What is 3*l(s) + 7*y(s)?\nAnswer: 59*s**2 + 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-117)*62 + 4020\/18090?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**3 + 20092*t**2 - 441226*t + 1704080 = 0. What is t?\nAnswer: 5, 17, 10024","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -8047 times 33?\nAnswer: -265551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32141072?\nAnswer: 2, 2008817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m**2 - 2701*m + 2701*m - 1 + 1.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*q**3 + 60759*q**2 = 0. Calculate q.\nAnswer: -20253, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 - 16*x**2 + 5. Determine t(-16).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 211210000 (base 3) to base 16\nAnswer: 40dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 AM and 2:25 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 63, 255, 585, 1059, 1683, 2463, 3405?\n\"Answer: d**3 + 63*d**2 - 4*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 148*s - 71*s + 78*s - 1085. Let x(t) = -10*t - 5. Let g(o) = -3*o - 2. Give s*g(k) - 2*x(k).\nAnswer: -k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 - 7*d + 5. Let u be h(-7). Suppose -2*o = -u*o + 39. What are the prime factors of o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34*(-2)\/8*-14.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/5 less than or equal to -0.127?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 12314500 rounded to the nearest one million?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.4221 - 0.69098. Let k = y - -0.264. What is k rounded to 4 dps?\nAnswer: -0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -64 - -67. Suppose -l*p + 3 = -3. What is t in -t**p - 3*t**2 + 2*t**2 = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 5*a**3 - 215*a**2 - 42*a + 1790. Give n(43).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23.7 + 48.9. What is r rounded to 0 dps?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-3)\/(-14))\/(1368\/(-1596)))\/((-75)\/700)\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.12, -0.2, -1\/3, -12 in ascending order.\nAnswer: -12, -5, -1\/3, -0.2, 0.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2)\/k**8)\/(k**0\/(((k**(-1\/11)*k)\/k)\/k)))\/(k\/(k**(-2\/5)*k)*k**(-3)\/k)**31 assuming k is positive.\nAnswer: k**(5528\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 146152961 to the nearest integer?\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19 + 967)\/(-79) + (-364)\/(-3 + -1).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - p + 0 + 0)*(-92 - 646 + 192)*(8 - 1 - 3).\nAnswer: 2184*p + 2184","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2014993 divided by -2?\nAnswer: 2014993\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 539*n = 530*n + 783. Calculate the remainder when 606 is divided by n.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25334 and 212.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of 0 - 15\/2*u**2 - 2*u**3 - 2*u. What is the units digit of y(-11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(2\/49)*u*u\/u**(-8)*u*u*u\/u**3*u**(2\/7) assuming u is positive.\nAnswer: u**(506\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164 = 2*m + 10*u, -10*m + 48 = -8*m + 2*u + 196 for m.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3*l**2 + 15*l + 264. Let u be s(-16). Round u to the nearest ten.\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 5. Let l be (m - -1)*(-55)\/5. Let s = l + 15. Is s a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*l**2 - 19*l**2 + 14*l**4)*(-3 + 1 - 5).\nAnswer: -98*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 12. Let b = a - 1. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2 and -4696?\nAnswer: 4698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 - 2623*u - 28. Give y(0).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-85)\/102*4)\/(70\/42)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -96*s - 4317. Let f be q(-45). Solve -f*u + 25 = -5*r, 2*u - 40*r + 37*r = 16 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3694 + -3510. What is the remainder when t is divided by 41?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**4 + 0*g**4 + g**5 + (6*g**2 - 3*g**2 - 2*g**2)*(-16*g - 5*g**3 + 16*g).\nAnswer: -4*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -77 - -84. Let w be 4 - (-3 - (v + -708)). Round w to the nearest ten.\nAnswer: -690","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -35 and 0.1.\nAnswer: -3.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 78367937 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00080256253 rounded to five dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3264)\/(-119))\/(-16)*7\/(-3). Put -1, 2, h, 125 in decreasing order.\nAnswer: 125, h, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 63948 and 32839194.\nAnswer: 32903142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -89809, -359333, -808541, -1437433, -2246009?\n\"Answer: -89842*z**2 + 2*z + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 0 - 3)*(3 - 4 + 0)*(40*l**3 - 12*l**3 + 11*l**3) to a*l + i + g*l**3 + q*l**2 and give g.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -94*z + 88*z + 52*z - 4048. Calculate the greatest common divisor of z and 200.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*m + 45 = -142*m + 945. Suppose r + 64 = 5*r. Calculate the smallest common multiple of m and r.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -200 by -169.\nAnswer: 200\/169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 f when two letters picked without replacement from fafvgfe?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2973 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.27 - 0.13. Let s = -3 + 2. Sort c, 5, s in decreasing order.\nAnswer: 5, c, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24 - 22. Suppose -a = b*a - 381. Let t = -60 + a. What is the remainder when t is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(117)*5 - -4*(sqrt(117) + (-1*sqrt(117) - sqrt(117) - sqrt(117))))\/(sqrt(9)*-3*-6 - (sqrt(576)*-1 - sqrt(9))))**2.\nAnswer: 13\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.25 + -0.05. Let n = -3.6 + 4.6. Put -4, n, -2, v in decreasing order.\nAnswer: n, v, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.5366 + 0.0666. Let g = 52 - 56.7. Let h = g - u. What is h rounded to one decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 7*r + 2*r + 0*r + 7*r. Let y be z(5). Let f = 138 - y. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 0. Let f be 1 + 12\/(-8) + (-633)\/6. Let o = -3924\/37 - f. Which is smaller: o or n?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/366031 or 0?\nAnswer: 1\/366031","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*q**5 + 24889*q**4 - 3423*q - 46.\nAnswer: 40*q**3 + 298668*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 11 = 3*d, 2*d - m = -73 + 75 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 - 66*u + 1086. Let w be n(36). Solve -9 = 3*i - 3*j + w*j, 0 = 4*j for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*q**5 + 125100*q**4 + 13250613*q**3 + 67836816*q**2 + 72929844*q + 22371600 = 0. What is q?\nAnswer: -4525, -103, -4, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 10 + 2. Let w(x) = -x + 10. Let p be 0\/((-2)\/(-2))*1. Calculate the least common multiple of d and w(p).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 8:23 AM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 258 = -13*r - 54. Suppose 0*f = 4*f - 104. Let o = r + f. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3\/8*u**5 - 9\/4*u**4 + 1029\/8*u - 21*u**3 + 0 + 441\/4*u**2 = 0 for u.\nAnswer: -7, -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(3\/7)*(h**(-6)*h)\/h)\/(h**(1\/4))**(-40) assuming h is positive.\nAnswer: h**(38\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + 2 + (-5 + 4 - 0). Let r(y) = 0*y - 10*y - 4*y - 8*y + 4 + 3*y**d. Give r(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111 - 77 = -47*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/3 and 64\/57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4620861 * -0.4\nAnswer: 1848344.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one tenth of a meter?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -7. Let j be 8\/5 + (-2)\/h. Is 1 <= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*f + 12667 = -57*f - 8279. Calculate the least common multiple of f and 7.\nAnswer: 24437","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*u**2 + 51*u - 116*u + 53*u + 25*u**3 as f*u + k + x*u**3 + h*u**2 and give f.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1245, 9536, 31743, 74730, 145361, 250500, 397011, 591758?\nAnswer: 841605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (84 - 84 + 38*z)*(2 + 3*z - 2).\nAnswer: 114*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 330428101 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + -2 - -2) + 50. Let c = 86 - l. What are the prime factors of c?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/2 (b) 1\/2 (c) -1\/4 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 bigger than -18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60)\/(-40)*2\/(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2 + 240*h - 242.\nAnswer: 2*(h - 1)*(h + 121)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.4 at least 28061?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(432) + 3)*-2*-4*1)**2.\nAnswer: 4608*sqrt(3) + 28221","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**3 - d - 3. Let t(g) = g**3 + g**2 - g. Calculate h(r) - 3*t(r).\nAnswer: -r**3 - 3*r**2 + 2*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -40.6 + 41. Let b = -1.3 + -3.7. Let s = 641\/5 + -128. Put b, s, l in ascending order.\nAnswer: b, s, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13)\/((-78)\/(-36)))\/(-14 - -18)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 22, 3.4 in descending order.\nAnswer: 22, 3.4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 - (-74)\/111*51\/(-14). Factor -p + 6\/7*b + 0*b**2 - 2\/7*b**3.\nAnswer: -2*(b - 1)**2*(b + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6 - -5)\/(-2))\/(1\/10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31 + 328. Let f be (-30)\/4*66\/l. Which is the nearest to 1? (a) 4\/5 (b) f (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 3*y = 3, -4*t + 5*y - 8 - 4 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 divided by -30.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) -0.2 (c) -6\/25 (d) 24 (e) 1916\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/3878 and ((-970)\/240 - -4)*(-912)\/420.\nAnswer: 58170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/21)\/(5\/((-70)\/16)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 divided by -1?\nAnswer: -293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**5 + 6*i**5 - 5*i**5 + (2 + 6 + 0)*(4*i**5 - 3*i**5 - 3*i**5).\nAnswer: -15*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146 = -4*u - 126. What is the remainder when 223 is divided by 17 - 0 - u\/(5\/3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 650032, 1300110, 1950186, 2600260?\nAnswer: 3250332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 48*z**3 - 14 - 613*z + 307*z + 25*z**3 + 3*z**4 + 2*z**2 + 15 + 305*z to g*z + p + w*z**3 + m*z**4 + b*z**2 and give w.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4195 is divided by 100?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.147 - 24.853. Which is smaller: 2 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(136)\/(sqrt(8) - sqrt(288)*3) - (sqrt(119)*3*5 + sqrt(119))\/sqrt(7)).\nAnswer: -819*sqrt(17)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of o**8\/10080 - o**6\/360 + o**5\/90 - 2*o**4\/3 - 8*o. Let p(t) be the third derivative of l(t). Solve p(u) = 0 for u.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 35 = -3*n, 6*u - 8*u - 25 = 3*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 860\/520 - ((-3)\/2 + 3).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2866 + -2695. What is the remainder when 1021 is divided by v?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 8*v - 7. Let g = -13 - -26. Is u(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 54, -0.3, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1578 = -311*g + 288. Solve -g*d - d = -35 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(39)\/sqrt(3) - (sqrt(1300)*-2)**2.\nAnswer: -5202 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 13*r**3 + 7*r**2 - 816*r - 824. Determine x(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, -2, -5 in increasing order.\nAnswer: -31, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k - 7. Let b be z(-5). Suppose 0 = b*r - 3*x - 2 - 4, r = 2*x + 2. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - -2 - -3*1. Suppose -13 = 5*d - 2*h - 4, -2*d = -t*h + 8. Let m(k) = -19*k**3 + k**2 - 1. Is m(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -7*c**3 - 38*c**2 - 19*c - 5. Let k(b) = -10*b**3 - 56*b**2 - 29*b - 7. Let w(y) = -5*k(y) + 7*o(y). Calculate w(-13).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1203.6 rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*1)\/(20 - 13).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.15 in 0.1, -12\/7, 0.134, 21\/8, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1174932 divided by -276.\nAnswer: -4257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of -o**3\/6 + 5*o**2\/2 + 6*o. Let t(b) = -2*b + 1. Let l be t(-2). Determine u(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2218 from -5970.\nAnswer: -3752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*u + 22*u + 72 = -27*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 (base 10) in base 3?\nAnswer: 122211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*t = 26*t + 49 - 135 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -19869960, -19869961, -19869962, -19869963, -19869964?\n\"Answer: -c - 19869959","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 0 + (sqrt(500) + -1 + sqrt(500) + 1 - (1 + sqrt(500) + -5 - sqrt(500))) + 5*2*sqrt(500) + (-5 + sqrt(500) + -2*sqrt(500) - sqrt(500)))**2.\nAnswer: -800*sqrt(5) + 50016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 881 (base 12) in base 11?\nAnswer: a36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9935813 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -129 + 126. List the prime factors of ((-65)\/15)\/((-2)\/168) - t.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**4 + 6*v**3 - 39*v**2 + 30*v.\nAnswer: 3*v*(v - 2)*(v - 1)*(v + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -3*(-5 + (3*sqrt(5) + 5)**2).\nAnswer: -90*sqrt(5) - 198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4975403 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 5*z**2 + 4*z**2 - 19 + 9 + 2*z**3 + 14*z**2 + 4*z as b*z**3 + s*z + i + a*z**2 and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, a: 8, s: 1, p: 2}. Give prob of picking 1 s and 3 a.\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 4 - 0. Let a be m\/((-4)\/(-12 + 4)). Suppose 2*z = -3*i + 130, -5*z - 5*i + 334 = -a*i. Is 34 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-12))\/(194\/(-3492))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2 + 24*s.\nAnswer: 3*s*(s + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105 = -168*h + 203*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g**3 - 3*g**2 + 4*g - 1. Let x be s(5). Is (28\/(-8))\/((-1)\/x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 - 9*a - 6. Let u be j(-8). What is the tens digit of u\/(-4)*(-359 - 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n + 21*n**2 - 40*n**2 + 2*n**4 - 2 + 10*n**3 + 16*n**2 in the form x*n**4 + g*n**3 + f*n**2 + b*n + l and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 347 - -18629?\nAnswer: 18975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 0.0164 (b) 5 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9449 - 9051. What is the remainder when o is divided by 81?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 2*f**2\/3 + 1547*f\/6 - 129\/2 = 0?\nAnswer: -387, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 103952, 104021, 104090, 104159, 104228?\n\"Answer: 69*g + 103883","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 0 + sqrt(175) + -1)**2 + 5.\nAnswer: -60*sqrt(7) + 216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/(-9))\/(8\/492). Let w = 51 - i. Let h = 4 - -14. Calculate the remainder when h is divided by w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5153217, 5153254, 5153305, 5153376, 5153473, 5153602?\nAnswer: 5153769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -4. Let t = -2.6 + b. Let m be 1 + 5\/14*-2. Put m, -0.3, t in increasing order.\nAnswer: -0.3, m, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1.2 (b) -80775 (c) 76 (d) 3\/2 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -88*a + 21. Let c(p) = 15*p - 1. Calculate -5*c(o) - m(o).\nAnswer: 13*o - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 + 5*f**2 + 26*f - 16. Let k be o(8). Let x(z) be the first derivative of 3 + k*z**3 + 0*z**2 + 2*z - 3\/4*z**4. Differentiate x(p) wrt p.\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22388, -15986, -9584, -3182, 3220?\nAnswer: 9622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -6. Is (-58)\/m*(7 - -7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 0, -5, 1, 8\/15, -1, 185?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - -27) + (-57 - -40) - (1 + 83)?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -393, -398, -405, -414, -425, -438, -453?\nAnswer: -470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/h**(1\/2))\/h**(-2\/9))\/(h**(1\/4)*(h*h*(h\/h**(-3))\/h)\/h))\/((h**(1\/3))**(-6\/7))**36 assuming h is positive.\nAnswer: h**(1703\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 15 - ((25 - (38 - 22) - 24) + -119)?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 - 152 + 175 + 2466*j**2.\nAnswer: 2466*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 3*c - 9. Suppose -3*t - 6 = -24. Let b be r(t). Suppose 8*o - b*o + 23 = 0. Is 23 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -297*g**6*w**2 + 5*g**6 + 3*g**2 - 2523*w**2 wrt g.\nAnswer: -35640*g**3*w**2 + 600*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3\/2, 567, 0.28, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*m + 7*m - 79 - 161 for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 24266425 - 3?\nAnswer: 24266422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27774403.\nAnswer: 27774403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 + 4*w**2 + 3*w + 4. Let t be i(-2). Solve 0 = 16*f - t*f + 30 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-1 + 1 - (7 - 6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaaaapppa. What is prob of picking 1 p and 3 a?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2297 divided by -2\nAnswer: 2297\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 12) in base 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -151 + 7*t + 128 + 22 + 37*t**2 in the form w*t + j*t**2 + r and give j.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11939\/50 - 551\/50. Let i = -249 - b. Factor 0 + 2\/5*u**2 - 4\/5*u**3 + i*u - 2\/5*u**4.\nAnswer: -2*u*(u - 1)*(u + 1)*(u + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nu when two letters picked without replacement from cnuyyzz.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 31? (a) -9 (b) 583 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 33*s + 56. Let n(i) = 86*i + 170. Calculate 8*k(x) - 3*n(x).\nAnswer: 6*x - 62","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 523929 and 11380425?\nAnswer: 694205925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - 5*o**2 - 3*o + 1. Give l(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 26051 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: Let a be (37 + -117)*125*30011. Round a to the nearest 1000000.\nAnswer: -300000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/60 and -7\/5464.\nAnswer: 81960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m - 162 = -32. Let g = m + 39. Is g a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117 is divided by 53?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence whp when three letters picked without replacement from whhsqpwhqwhpqhs.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**3 + 35925*c**2 + 107694*c - 646488.\nAnswer: 3*(c - 3)*(c + 6)*(c + 11972)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0021328 to 5 decimal places.\nAnswer: 0.00213","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -347 + 341. Let p(d) = 5*d + 6. Let u(l) = 14*l + 17. Determine a*u(b) + 17*p(b).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 0.1, 24, 3\/4 in decreasing order.\nAnswer: 24, 3\/4, 0.4, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 469*u**3 + 455*u**2 - 18*u - 27. Let d(j) = -j**3 - 2*j - 3. Let m(l) = 36*d(l) - 4*q(l). Find the third derivative of m(g) wrt g.\nAnswer: -11472","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/232 (b) 0 (c) -3 (d) -0.2 (e) -5 (f) 0.2 (g) 378\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -71 - d9a7?\nAnswer: -da38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - 19*c**2 - 21*c + 16. Let m be n(20). What is the lowest common multiple of 16 and (-2)\/m*(-5)\/10*-8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*q + 1184 = -193*q for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -3.5. Let t = 0.2 - m. Suppose 7 = -3*z + 2*f - 3, -7 = z + 3*f. What is the nearest to -1 in t, z, -2\/7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -10\/9*m + 22\/9*m**3 + 4\/9 - 4\/3*m**4 - 4\/9*m**2 = 0?\nAnswer: -2\/3, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1213230122 (base 4) to base 6\nAnswer: 13034202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*p - 3*p + 15*p + (0 + 2 - 1)*(2 - 2 + 2*p) - p + 2*p + 2*p + 1 - 1 + 2*p.\nAnswer: 36*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 194 and 354418018?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 12:17 PM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/y**(-7)*y*y**(3\/2))**(-6\/7) assuming y is positive.\nAnswer: y**(-69\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 86 + -62. Let q be (1\/2)\/((-4)\/r). Is -1 >= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5785472558 to the power of 1\/3, to the nearest integer?\nAnswer: 1795","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -5 - 3 - 5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 63191 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, c: 1, w: 1, n: 2}. What is prob of picking 1 c and 1 a?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*b - 88639 + 86644 = 0 for b.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 133694866 divided by 133694866?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2375 (base 12) to base 16.\nAnswer: f89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -46, 5, -4, -33, 47.9 in increasing order.\nAnswer: -46, -33, -4, 5, 47.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2186, 8743, 19680, 35009, 54742, 78891?\nAnswer: 107468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3628, 8825, 17486, 29611, 45200, 64253?\nAnswer: 86770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 321 (base 5) to base 4\nAnswer: 1112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (21 - -2)*(7 + 8 - 6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 1 - 1 = 0. Let v(i) = i**2 + 4*i. Let p(f) = -5*f + 2. Let q = 23 - 34. Let n(s) = 26*s - 11. Let g(z) = q*p(z) - 2*n(z). Give y*v(o) + 3*g(o).\nAnswer: -2*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/((-12)\/(-16)*738\/41)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 51 - 6072\/119. Let v = 2999\/952 + t. Find the common denominator of v and -93\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20190 + 34494. Calculate the lowest common multiple of 54 and 8\/(-18) + a\/108.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(2\/7))\/c*c**(-2\/3))\/((c\/((c**(-3)*c)\/c)*c)\/c**(2\/25)) assuming c is positive.\nAnswer: c**(-2783\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-49 + 117)\/((-28)\/(-133)). What is the greatest common divisor of 475 and b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 857 - 3.12977540069\nAnswer: 853.87022459931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -12421133*x. Let s(m) = -5*m. Calculate s(d(c)).\nAnswer: 62105665*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 824619 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.1, 10, 113, -3\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 606\/(-1111) - (-100)\/22.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/(-42) - 4*(-116)\/560.\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 7*p + 5 = 0, 4*a - 8461326 = 2*p. Suppose 0 = u + 2*r + 3199996, 3*u + a = -2*r - 7484664. Round u to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -47 + 48. Let x = -1085\/4 + 279. Let q = x + -8. What is the third biggest value in g, q, 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19996200?\nAnswer: 2, 3, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 38960 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 544 and 79264?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 divided by 553766?\nAnswer: -11\/276883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -13582, -13575, -13564, -13549, -13530, -13507, -13480?\n\"Answer: 2*y**2 + y - 13585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of -2*l**5\/45 - l**4\/9 - 2*l**3\/27 - 4. Factor k(j).\nAnswer: -2*j**2*(j + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -31 by 184754.\nAnswer: -31\/184754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - 4*j + 3*j)*(8*j + 10*j - 21*j - 1 + 1 - j + 2*j - 4*j + 0*j + 3*j + j - 6*j + 2*j - 5*j + j + (2*j - 3 + 3)*(1 + 3 - 3) - j - 1 + 1 - 1 + j + 1).\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-6)*24\/144\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 370054 to the power of 1\/3, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 50\/(-375) + 21647\/15. Let n = d - 982. What are the prime factors of n?\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/6 - ((-13)\/(195\/475) + 10).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -54644, -54646, -54648?\n\"Answer: -2*f - 54642","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 826598, 1653195, 2479792, 3306389, 4132986, 4959583?\nAnswer: 5786180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -350\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x**3 - x + 1. Let n(q) = -1218*q**3 + 3*q - 3. Determine 6*j(m) + 2*n(m).\nAnswer: -2448*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 964417580?\nAnswer: 2, 5, 7, 19, 37, 41, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 488 a factor of 212529785?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -126?\nAnswer: -126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (86\/387)\/((-6)\/81)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of h**6\/120 + 7*h**5\/60 + h**4\/4 - 5*h**3\/6 - 2*h**2 - 15*h + 31. Let j(i) = 0*i - i + 5*i + 2. Let r be j(-2). Determine o(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*w + 301 - 924 = 337 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -437 + 247 + 2352*n**3 + 190 + (-2*n + 2*n + 2*n**2)*(n - 2*n + 0*n) as y*n**3 + h*n + c + g*n**2 and give y.\nAnswer: 2350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 9.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3504 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4316, 4386, 4454, 4520?\nAnswer: 4584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -201*a + 2223. Calculate z(11).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-4))\/((-27)\/81).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = a - 0*a + 2, -3*v - 2*a = 4. Let d be ((-2)\/(-1))\/(-1 - v). Is -2 bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1013567489 to the power of 1\/5, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-7))\/3*(-49)\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9645 is divided by 1071.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 - 7*z**2 - 3*z + 7. Calculate the common denominator of (-90)\/4 - -2 - (-16)\/4 and h(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((2*sqrt(125) + 5)*4)**2 + 5 + 4 + -1 + sqrt(125) + 2.\nAnswer: 1605*sqrt(5) + 8412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t**2 + 117*t + 603. Calculate g(-53).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31447964?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010101010 - -101?\nAnswer: -1010100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -13 (b) 7\/87 (c) 1\/3 (d) 1\/5 (e) -0.3 (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/11054 and 61\/2.\nAnswer: 11054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7542*m**4 - 20*m**2 - 29*m + 1 wrt m?\nAnswer: 181008*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 0*v + 6 + 2*v + 2 - v. Let s be h(-11). Put s, 0, -5 in increasing order.\nAnswer: -5, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 834722 to the nearest integer?\nAnswer: 914","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -887369*g**4 - g**3 + 1481281*g.\nAnswer: -10648428*g**2 - 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 + 2281795269.\nAnswer: 2281795269.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 w, and 2 v when four letters picked without replacement from {w: 2, k: 6, v: 5, r: 1, o: 2}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 178*l*q**4 + l*q**3*u + 11*l*q**2*u + 529*q**4*u - 3*q**2*u + 38784*q**2 wrt q.\nAnswer: 4272*l*q + 6*l*u + 12696*q*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5067 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + 5 - 23)*(-154)\/28.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -429*t + 2277 + 214*t + 217*t + 2*t**4 to the form m*t**3 + s*t**2 + x + d*t**4 + g*t and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20617?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -212507076 divided by -6.\nAnswer: 35417846","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 164303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 + 5*k + 1. Suppose -h = -3 + 10. Calculate the remainder when i(h) is divided by 1*(-3)\/(-1) - -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702394.3m in micrometers?\nAnswer: 702394300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r**2 + 275*r + 9413. Calculate x(-73).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 3*a + 225 = 0. What is the greatest common divisor of 30 and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*v + 5*l - 29 = -53*v, l = 3*v + 11 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 d, and 1 h when three letters picked without replacement from {v: 3, b: 2, p: 2, d: 1, h: 4}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.1, 1, 0.64, -0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zl when two letters picked without replacement from {t: 7, z: 1, g: 2, l: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -5*m - 4. Let p(h) = -2 + 2*h - 3*h - h. Give -4*f(c) + 9*p(c).\nAnswer: 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 - 45*h**2 - 252*h - 706. What is i(50)?\nAnswer: -806","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e - ca0d?\nAnswer: -c9ff","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 671519114 to the nearest integer?\nAnswer: 25914","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4798 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/(g**0*g)*g)**(2\/147)*g**3\/g**(-1))\/((g**(1\/3)*g)\/g**5)**(6\/17) assuming g is positive.\nAnswer: g**(13298\/2499)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 150164293 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 1, -199, 0.7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -10 + 10 + 7 + -3 + 5?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t**2 + 57*t - 155. Let c be g(-31). Is 7\/155 smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 288 = -16*l - 11*l. Put l, -1, -1\/6, 0.03 in decreasing order.\nAnswer: 0.03, -1\/6, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 + 178 = 30*n. Suppose t - 24 = 5*v, -n*v = -3*t - 4*v + 36. Let u(w) = -w**3 + 3*w**2 + w - 3. Let a be u(3). Solve -3*i + t = -a*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4\/2787 - 4082\/1039551. Which is smaller: -1 or m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that x**5 - 151*x**4 - 1920*x**3 - 5836*x**2 - 5216*x = 0.\nAnswer: -8, -2, 0, 163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/14 in -1\/5, 3, -25?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 15 = -2*l, 3*a + 2*l = -11*l + 6*l + 183 - 153 for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 70*q**2 + 1. Let b be n(1). Let w = b - 71. Let o = 7 - 5. Solve -o*s - 2*s + 4 = w for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or -18.62?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -21*(-82)\/96432*-2\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*n + 10*n + 30 = 0. Suppose n*q - 8045 = 5*q. Let o = q + 492. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01585784 rounded to four dps?\nAnswer: -0.0159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.712607 - -28471.\nAnswer: 28471.712607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -138750071*b**6 + 7130*b**2 - 10029.\nAnswer: -16650008520*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 40 = -48. Let k = -0.18 - 6.82. Let j = 5 + k. Which is smaller: j or u?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + 2 + 23*1. Let o be 0 + -6 + (15 - 4). Suppose 83 = -o*z + 248. Calculate the greatest common divisor of b and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-1)*(10 + -8). Suppose -4*v - b = -2*p + 2, 5 = p - 5*v. Suppose -2*y + 0*y + 12 = p. Solve 3*j = j - y for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 - 18. Suppose q*d + 3*p = 1097, 0*p + 1374 = 5*d + p. Suppose 2*g - d = -3*g. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3954453993?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 299255612?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 10:31 PM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 741 and 273?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -5 + 10 + (-45 - -48) - 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**4 + 403516*t**3 + 20353548794*t**2 + 40705887048*t + 20352741768.\nAnswer: 2*(t + 1)**2*(t + 100878)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*i + 40897 + 32449 = 0. Suppose -13*p + 6487 = -i. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11093216293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o**3 + 7*o**2 - 7*o + 15. Let d be a(3). Is d equal to 39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 2*x = 7, g - 4*x = x + 28 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1135\/43 + -47507\/129. Which is smaller: u or -396?\nAnswer: -396","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(5\/4)\/j)**(-25)*j*(j*j\/j**22)\/j*j**(-6\/7) assuming j is positive.\nAnswer: j**(-759\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wdkyrdpw. Give prob of sequence rk.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13 by -6.\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2579 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of 21*x**4\/4 + x**3\/6 - x**2 - 16*x - 3. What is the lowest common multiple of j(1) and 8?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 AM and 9:09 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2*i - 4*v = 19, 4*v + 25 = 3*i. Suppose -i*l + 425 = 2*a - a, -4*a = 2*l - 270. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -716 equal to -1529?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1177 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 9633232.737 to the nearest one thousand.\nAnswer: 9633000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z + 13. Let d(g) = -2*g - 26. Let o(q) = 3*d(q) + 7*j(q). Suppose -l - t - 29 = 2*l, 4*l + 5*t = -35. List the prime factors of o(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 3*i = -3, -2 - 10 = 4*g - 2*i for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssqsapa. Give prob of picking 1 a and 1 q.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*v + 3438 + 6864. Let h = 618 - v. What is the greatest common divisor of 300 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, -99 in decreasing order.\nAnswer: 2, -1, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 375970 and 8330?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4047 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fifty-nine fifths of a hour?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2. Let u(z) be the first derivative of z**5\/30 - 83*z**4\/24 - 38*z**2 + 15. Let h(d) be the second derivative of u(d). Give h(m(i)).\nAnswer: 2*i**4 - 83*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = a - 0*a. Suppose 5*u - 18 = a*u. Suppose -8*b + 1 + 119 = 0. Calculate the greatest common factor of b and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -96.7 + 96.9. What is the smallest value in h, 3, 2\/5, 2.1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - -3. Let s be (-4)\/(q + 2)*-4. Suppose s*h = -h + 37800000. Round h to the nearest 1000000.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -431 = -171*z - 602 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -370 - -170536?\nAnswer: 170146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -130513 - 0.3.\nAnswer: -130513.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 12) to base 8.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 14 = -5*f - 3*z, 2*f = -5*z + 2. Let p be -5*(0 - (-8)\/10). Is f != p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 554 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 2047.\nAnswer: -7\/2047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1719 and 708?\nAnswer: 405684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -16*m**2. Let u(s) be the second derivative of s**4\/12 - 23*s**2\/2 + 2*s - 253. Give g(u(q)).\nAnswer: -16*q**4 + 736*q**2 - 8464","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -849 - -1147. Calculate the remainder when v is divided by 93.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17170 plus 31446?\nAnswer: 48616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 16*g - 9. Let v be z(-10). Let w = v - -184. What is the highest common factor of w and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30 - -49. What is the derivative of -28*t - 25 + 23*t + o*t wrt t?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ymymgyry. Give prob of picking 2 m, 1 g, and 1 r.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1246*y**4 - 3405*y**3 - 6268809*y?\nAnswer: 14952*y**2 - 20430*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*g**2 + 36*g**2 + 39*g**2.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 126 = -18*b for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*i - 27194 - 15862. List the prime factors of i.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 96535?\nAnswer: -96538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48, 38, 16, -24, -88, -182, -312, -484?\nAnswer: -704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14454 + 26097. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 39 - 36. Solve -5*j = -3*b + 24, 0 = -2*b - k*b + 4*j + 27 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 3 + 204*v**2 - 203*v**2 + 3.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-31)*-31)\/((-5)\/(-60)*-1)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 463 = -5*l, 276 = -10*l + 13*l + 3*v. Let q(m) = 2 + l*m - 81*m - 2. Let u(d) = -3*d**2. Give u(q(o)).\nAnswer: -432*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*a - 52. Suppose h + 2 - 8 = 0. Suppose k = h*k - 155. Calculate the remainder when k is divided by a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 106\/14 - 12\/21 - (17 - 10). Is o <= 2\/4085?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 85041?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1070.377 rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -14*((-10)\/6 + -3 + 77\/21). Solve -2*g + 12 = -5*u, 2*g + v*u = 17*u + 8 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 126535731 + -35?\nAnswer: 126535674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 9 = -2*z. Let u = z - -2. Let d be 8\/15 - (-3)\/(-9). What is the nearest to u in d, -3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5222, -24475, -76730, -178487, -346246?\n\"Answer: -2750*y**3 - y**2 - 2471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8531.\nAnswer: 19, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -25*m**2. Let x(u) = 2*u + 19. Let d be x(0). Let y(h) = d*h + 17*h - 37*h. Calculate v(y(c)).\nAnswer: -25*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 - 6*r + 6. Let n be t(6). Let w(f) = 15*f**2 + 5*f + 5. Let x(b) = 13*b**2 + 4*b + 4. Let j(p) = -4*w(p) + 5*x(p). Does 18 divide j(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g + 25 = -7*g. Solve 5*p = -5*k, 3*p = g*k + 5*p + 6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q**3 - 8*q**2 - 4*q + 5. Determine j(-4).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 1\/6, 0, 17?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-891)\/(-810) - 6\/4)*20 - -21. Solve -l*s = 175 - 58 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -1224.\nAnswer: 6120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -83.77 times 36.377\nAnswer: -3047.30129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (112 - 131) + 2 + -18 + (-4 - -4) + -1.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d - n - 30, 2*d + n - 6 = -1 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 130999 + 47?\nAnswer: 130a35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 46.2\nAnswer: 184.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 885 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -180202067155 + 14*y + 180202067155.\nAnswer: 14*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1167 - -1891. Let q be j\/(-10)*(-4 - (-6 + 2502)). Round q to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**5\/k))\/k**3*(k*k*k*k*k**0\/k)**(-2\/43))\/((k**(-2\/7)*k)\/k*k*k\/k**5*k)**(2\/91) assuming k is positive.\nAnswer: k**(-166792\/27391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202120 - 2110201221?\nAnswer: -2102222101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = 3*v + 8, 0 = 2*v + v - 3*b + 18 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -121\/164 + -1\/82. Let z(k) = -33*k**2 - k - 1. Let j be z(-1). Let t be (-6)\/j - 36\/77. Which is the second smallest value? (a) 1\/8 (b) t (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -74865, -150241, -225617, -300993?\n\"Answer: -75376*c + 511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 - 2*y - 1. Let z be f(-6). Suppose 4*n - 237 = -5*k, 198 = k + 3*k - n. Which is greater: k or z?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-8) + (-7007)\/(-6188)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, j: 5}. Give prob of picking 1 s and 3 j.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.43441 and 809.\nAnswer: 351.43769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 6 + 13 + (-4 + 1 + 5)*(3 + 4 - 6))*(-3370*x**2 + 2*x + 3519*x**2 - 2*x).\nAnswer: 1341*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 11*u**4 - 5*u**2 + 6*u + 75. Let m(d) = d**2 - d - 1. Let v(p) = -5*m(p) - r(p). Find the first derivative of v(o) wrt o.\nAnswer: -44*o**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -142, -570, -1280, -2272, -3546?\n\"Answer: -141*m**2 - 5*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 47\/496 or -1?\nAnswer: 47\/496","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of r**9\/5040 - r**5\/120 + 2*r**4\/3 - 4*r. Let a(u) be the third derivative of l(u). Find the first derivative of a(v) wrt v.\nAnswer: 12*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -1 (b) -2\/5 (c) 7 (d) 866\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 5*x + 28. Solve l = 4*z + x*l - 2, 0 = z + 4*l + 17 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*a = -378 - 1962. Suppose 2*k - 13 = -1. Let o(v) = 8*v. Let m(r) = -2*r. Calculate a*m(q) + k*o(q).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13.1 - -102.1. Let i = r - 89. Which is the nearest to i? (a) -0.5 (b) 0.2 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-6)*(-25 + 35)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -270713, -270705, -270691, -270671?\n\"Answer: 3*q**2 - q - 270715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 293141 is divided by 276?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-135)\/360*(-2)\/27*6\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-10))**(2\/9)\/(l\/(l**9\/l))**(-2\/21) assuming l is positive.\nAnswer: l**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**4 - 7*x**2 - 7 + 7)*(-6*x - 2*x + 9*x).\nAnswer: -x**5 - 7*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - (-4 - (-2 + 0)). Let g(c) = -2 + a + 0 + 6*c**2. Let b(t) = -t**2. Let j be b(-1). What is g(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -170169*o + 340338. Give k(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2978 from 0.089462.\nAnswer: 2978.089462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.0379 (b) -6\/11 (c) 3\/2 (d) -15\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 10, b: 4, q: 5}. What is prob of sequence mq?\nAnswer: 25\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*b**2 + b + 88 wrt b.\nAnswer: 22*b + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*c**2 - 92*c**2 + 45*c**4 + 90*c**2 - 4 to the form d*c**3 + v*c**2 + x + j*c**4 + z*c and give v.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1553060347 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(1\/4)*j\/(j\/(j\/j**(-5)))*j)**44\/(j\/(j*j**3*j)*j\/(j**5*j))**33 assuming j is positive.\nAnswer: j**660","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1111010011100 (base 2) to base 6\nAnswer: -100140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4*(34\/8 + -5). Let g be r + 132\/21 + (-4)\/14. Calculate the common denominator of (g\/(-6))\/(4\/(-15)) and 17\/11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -132145 equal to -132144?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -7 - 8 - 6 + 5*d + 24. Suppose -13 = -5*v + 2. Let m(h) = -11*h - 7. Let o(u) = v*m(u) + 7*q(u). Let x(l) = l**2. Calculate o(x(n)).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/377055*171)\/((-3*6\/27)\/4).\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -e7c22?\nAnswer: -e7c1e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 7:23 AM?\nAnswer: 5:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hd when two letters picked without replacement from {k: 1, v: 5, i: 1, h: 6, c: 6, d: 1}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 3977175 = 23*l - 18*l, -4*k = -2*l - 3181724. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 812026301.\nAnswer: 17, 4567, 10459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 72.709533253 + 6.290466237. Let v = a + -79. Round v to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 183*h - 440 = 173*h. Suppose h - 46 = -x. Solve -3*t = x*j + 20, 4*t + 0*j + 4*j = -32 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35\/(-280)*(-9)\/((-36)\/(-232))?\nAnswer: 29\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 136 (base 7) to base 4.\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38 - 36*f + 38)*(3*f**4 + 2*f**4 - 4*f**4).\nAnswer: -36*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d + 9. Let j be m(-7). Suppose 3*t - j*z - 122 = -4*z, t + 5*z = 45. Calculate the greatest common factor of t and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of 13*s**8\/8 - s**5\/10 + 1085*s**4\/4 - 2328*s. Find the third derivative of w(x) wrt x.\nAnswer: 10920*x**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 8406?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145 = 3*c - 206. What is the remainder when 581 is divided by c?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - m = 375 - 106, 526 = 2*r - 5*m. What is the remainder when r is divided by 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3594 divided by -265?\nAnswer: 3594\/265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 223444 and 58968?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.554 - 2.7936. Round n to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05483*0.07.\nAnswer: -0.0038381","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(2\/21)\/(u\/(u*u*(u*u**3)\/u))*u**(-2\/25)\/u**(-1\/3))**(3\/17))**42 assuming u is positive.\nAnswer: u**(13698\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -9c528 (base 13) to base 7\nAnswer: -2262561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-210)\/245*20\/(-15)*(-9)\/(-8)\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 60458.61m in micrometers?\nAnswer: 60458610000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of -3*p**4\/4 - p. Let l be 1 - (4\/9)\/(22\/99). Let j(x) = 1. Let y(h) = -h + 2. Let r(i) = l*y(i) + 2*j(i). Give r(v(w)).\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2279 = 50*w + 1129 for w.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -119, 31, -3, -1, -1250, -4 in descending order.\nAnswer: 31, 1, -1, -3, -4, -119, -1250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*o**3 + 0*o**3 - 4*o**3 + (4 - 3*o**3 - 4)*(0 + 3 - 2).\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 1157 - 1139 = -k, -3*j = -15*k + 42 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1173 + -3849?\nAnswer: -4a00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, s: 4, c: 1}. Give prob of sequence ss.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1809101520 a multiple of 540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -3*y + 17. Let q be x(4). Let i = 73 - q. Suppose -3*g - 1 = n - i, -n - g + 59 = 0. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66817, -133630, -200443, -267256?\nAnswer: -334069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*k + 0*k + 2*k)*(52 - 20131*k**2 + 5 - 46 - 11) as n + p*k**3 + y*k + i*k**2 and give p.\nAnswer: -40262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrrssssrrrssfrr. Give prob of sequence rf.\nAnswer: 11\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16 - 0.5621?\nAnswer: -0.4021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0*1*(-6)\/(-6). Suppose 17*r = -k*r - 68. What is the smallest value in -0.06, 4\/5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 16.9 (b) 3 (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1689 - 1689.006005. What is m rounded to four dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/8, 16, 2\/5, 3\/2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -86.954 - -84. Let n = -0.046 + w. Let m = 1 + -0.6. Which is the second biggest value? (a) m (b) -5 (c) n (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of z**6\/360 + z**5\/24 - 5*z**3\/6 - z. Let v(s) be the second derivative of j(s). What is the second derivative of v(i) wrt i?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -p - 1010, 2*n - 404 = -0*p + p. Let v be n + -4 + 2\/1. Let l = v - 109. Is l a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**1\/(v*v\/v**6*v*v)*v\/(v**(-1\/4)\/v)*v*v*v\/(v*v**(-7))*v assuming v is positive.\nAnswer: v**(61\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*p - 74*p + 26 = 0. Sort p, 1, -30.\nAnswer: -30, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*u + 24*u - 177 - 1621 = 254 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 30 = 3*n, 4*f + f + 30 = -n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 369 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10\/11 + -41\/33. Let m = -144 + 142. Put m, n, -3, -5 in decreasing order.\nAnswer: n, m, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(99))**2 - (sqrt(1331) + sqrt(1331) + -4 + sqrt(1331)).\nAnswer: -33*sqrt(11) + 3568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -336 - -3361\/10. Let w(i) be the first derivative of 0*i**3 - 1\/30*i**6 + 1\/10*i**4 - 3 + 0*i**5 - j*i**2 + 0*i. Suppose w(t) = 0. What is t?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 539144522 to the nearest integer?\nAnswer: 814","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 4 = 24. Let z(f) = -f**3 + 12*f**2 + 3*f - 18. Calculate the least common multiple of z(12) and y.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p - 1. Let c(y) = -2. Suppose 30 - 12 = 18*u. Calculate u*c(m) + z(m).\nAnswer: -m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -277 - 371 = -4*k. Suppose -71 = -o - 3*b, -5*o - 3*b + 145 = -k. Let m = o - 31. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -12\/25, 0.5, 3, -0.4, -2\/31?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (503*-1)\/(5 - (-126)\/(-24)). Suppose u - 1782 = 5*x - 6819, 0 = -2*x - u + c. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of -43*n**6\/30 - 7*n**4\/3 - 55*n**2 + 3. What is the second derivative of p(w) wrt w?\nAnswer: -1032*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-3))**25\/(a**(-2)*a)**(-2\/7))**22 assuming a is positive.\nAnswer: a**(-11594\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 2, k = -4*g + 2*k + 13. Let v(b) = b - 4*b**2 - 10*b - 2 + 5 + b**3 + 12*b. What is v(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*((-23)\/38 - (-4)\/38)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8 + -5 - 5\/(5\/(-146)).\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - 81. Let p = i - -31. Let y = 65 - p. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -31 + 12 + (-11 - -2 - -6)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = 15, o + 22216 = -2*n + 22233 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -19817569448 minus -8.05?\nAnswer: -19817569439.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176)\/sqrt(4)*-3)\/(sqrt(4) - sqrt(112)\/sqrt(7)).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4558708 divided by -34276\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 17792 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 15. Let s = p + 5. Let v = -0.36 - -1.36. Which is the closest to v? (a) s (b) 4\/7 (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 5:33 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*f - 59*f**2 - 3*f**3 + 41*f**2 - 20*f**2.\nAnswer: -3*f**3 - 38*f**2 - 12*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 181 and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-225)*-10)\/(316\/(-18)).\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 46\/5 of a litre?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -14*x**2 + 402*x - 2880. What is h(13)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 155160 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccsccccc. Give prob of picking 3 c.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of -3*h**3\/2 - 3*h**2 + 5*h + 7. Let f(k) be the first derivative of b(k). What is the units digit of f(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -16*s**2 - 32*s. Let w(f) = 0 - 996*f + 0 + 995*f. Determine q(r) - 32*w(r).\nAnswer: -16*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of 1\/36*f**4 + 6*f + 5*f**2 - 1\/360*f**6 + 0 - 1\/180*f**5 + 0*f**3. Let g(x) be the first derivative of t(x). Factor g(b).\nAnswer: -b*(b - 1)*(b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*z - 18*z - 26*z = 48 - 25 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 + 3*m - 1. Let b be d(-4). Let o = -7849 + 7853. Suppose 4*s - o*n - n = 799, b = -n. List the prime factors of s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 352629 divided by 3.\nAnswer: 117543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9653, 38522, 86617, 153938?\nAnswer: 240485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1074369 and 33.\nAnswer: 11818059","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + 4*m + 10*m**2 - 4 + 0*m**3 - 4*m**2. Calculate n(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8 or -0.486?\nAnswer: -0.486","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38473*c - 38478*c + 10 = 2*a, 4*a = 3*c - 32 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 53185 + -4?\nAnswer: 53181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bib when three letters picked without replacement from {j: 4, t: 1, b: 2, i: 2}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152518 is divided by 3050.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -2. Let h(l) = 1173*l**3 - l**2 - 1615*l**3 + 1330*l**3. Is h(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 78 - 78.28. Let s = -0.2 - -0.95. Let l = s + w. What is l rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1256796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20704 + -20700. What is the smallest value in -4, f, -2\/37, -5, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-8) + 47\/4. Let l = 7 - w. Let u = -1050 + 1050.5. What is the smallest value in l, -4, u?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r + 280*v - 480*v + 202*v - 3, 12 = -3*r + v for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12.09*-2.\nAnswer: 24.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2057 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 l = -827137 - -827149. Let n(i) = -11*i - 12 + i**2 - i - 2. What is n(l)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 218, -2 in increasing order.\nAnswer: -16, -2, 218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(2)*-3 + 1 + 3))**2.\nAnswer: -96*sqrt(2) + 136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3 - ((-7 - -3) + 1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -7. What is the first derivative of 4 + 4*w - 3 - j*w + 2 wrt w?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 4 (c) 30 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005291 to six dps.\nAnswer: -0.000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134*p + 99*p = 210 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 852868468?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 531 + -1252203?\nAnswer: -1251342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 4.09468.\nAnswer: 0.409468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-13)\/h*h**(-16))\/(h**(-1\/33)\/h*h\/(h**25\/h)) assuming h is positive.\nAnswer: h**(-197\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2))**(18\/13)\/(p\/(p**(-1)*p)*p)**(-13\/7))\/((p*p**(-1\/3))**(-49)\/(p**(8\/5)\/p**1)) assuming p is positive.\nAnswer: p**(46699\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 15 = -3*r, 3*o + 7*r - 12*r = -17 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 18.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/sqrt(2))\/sqrt(10) + sqrt(4)\/(sqrt(2)*-2).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.02 and -47592.5440696.\nAnswer: -47592.5640696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 223*o - 91*o - 76*o - 2744 = 0 for o.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 - s + 4. Let f be p(-2). Is 783\/18 - ((-7)\/f + 2) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bi when two letters picked without replacement from ivbcb?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do -4\/879 and 869 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + -13 - (-20 - (-10 - 3))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -29400 smaller than -29400?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2905 and 23821.\nAnswer: 581","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*(0 - 34\/(-3)). Let u = k + 73. Let i = 56 - u. What is the remainder when i is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 64*l - 470. Calculate a(7).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -97\/12 + 33\/4. Which is the second biggest value? (a) h (b) -2\/5 (c) 0.5 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16 + i**3 + 38*i - 19*i + 21*i + 3 to q*i**2 + a*i**3 + y + w*i and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*m**3 + 76157*m**2 + 2356273.\nAnswer: 18*m**2 + 152314*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + r - 70 = 0. Let d(v) = -v**3 + 14*v**2 + v - 11. Let h be d(r). Suppose -h*u + 6*u = 2*l + 58, 4*u - 82 = 5*l. Is u even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-126 - (3 + -5))*2\/4. What is the common denominator of (5 + i)\/(1*-7) and (1 + 56)*7\/18?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 5. Let b(h) = 3*h**2 - 2*h + 3. Let z be b(g). Calculate the greatest common divisor of 99 and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 211435?\nAnswer: 5, 7, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -4, -11*c = -12*c + 2*m - 5. Solve 3*n = -c*w - 6, 0 = -4*n + n + 2*w - 6 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-3 - -49)) + 1 + 1 + (-470 - -462)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010212 (base 4) in base 14?\nAnswer: 1858","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13127722261 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15072 - 15072.120204. Round b to two dps.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 707a9b + 2a?\nAnswer: 707ac6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-7)\/(-28)*160\/(-190)?\nAnswer: -8\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36441696 is divided by 852.\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 20580, 49\/55, 0.3, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (8\/32)\/(((-220)\/32)\/5)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -3*s**5\/4 - 858*s**4 + 1725*s**3\/2 + 4296*s**2 + 10305*s\/4 = 0.\nAnswer: -1145, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/19, 1\/16, -0.2, 34 in decreasing order.\nAnswer: 34, 2\/19, 1\/16, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + 123123?\nAnswer: 123200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1*0\/(54\/(-9))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 617 is divided by 217.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (582\/8)\/(1\/4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 0.7, 0, 1, -2\/27?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -1 - (6 - (14 + -6)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 220 a factor of 2821116760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 120043680?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 + 5 - (12\/(-15) - 104\/20)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7691411028.\nAnswer: 2, 3, 7, 2377, 5503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -604 (base 8) in base 3?\nAnswer: -112101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15324 and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -32.2426807 to 1 decimal place.\nAnswer: -32.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-144)\/28*(-6986)\/22455?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3143*v + 99*v - 1039*v to g + r*v and give r.\nAnswer: -4083","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 3 + 1 = 2*k, 3*k - 3*f = 0. Does 2 divide k + (-24)\/(-10) + (-10899)\/(-315)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 272007055?\nAnswer: 5, 17, 509, 6287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*i**2*q**3 + 2*i**2*q + 14*i*q**3 - 66*q**3 - 2*q with respect to i.\nAnswer: -4*i*q**3 + 4*i*q + 14*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 9. Suppose -62*n - 1 = -67*n - 2*w, 14*n - 56 = 2*w. Solve 19 = -4*m - g, -1 = n*m - 2*g + q for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 0 + 15*l + l)*(-54*l - 48*l - 13*l).\nAnswer: -1840*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/((-465)\/(-6)) + 0. Is -1 < v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1739 and 877973?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -4*d + 20, -4*d + 5*j - 5 = 2. Let f = 1 + d. Suppose f*l = 3, 0 = -4*i + l + 4*l + 19. Is i a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 + 654.1?\nAnswer: 653.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j + 4. Suppose -72*s = -81*s + 225. What is the remainder when s is divided by t(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7809874*m**2 + 17*m - 80406691 wrt m.\nAnswer: -15619748*m + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 113 and 4?\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4113\/45 + (-5)\/((-75)\/(-6)). Let z be 3\/(42\/4) + 3887\/n. Suppose -z*r = -38*r - 185. Solve 0 = 5*c + 4*w + 10, -c = -5*w + 10 - r for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 * 13184.458\nAnswer: -250504.702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -970*k + 975*k. Let y(m) = 2*m**2 + m - 1. Suppose 0 = 5*f - 2*f - 3. Let p be y(f). Solve -2*w + 4*w - 5*c - 4 = 0, -p*w - k*c = -4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3158\/12999 + -3\/619. Is -2 >= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3398*h**4*s**2 - 2*h**4 - 2*h**3 - 3*h**2*s**2 + h**2*s - 7 wrt h?\nAnswer: 81552*h*s**2 - 48*h - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-20)\/(-30)*6\/(-16)*-8. Let l = -200\/3 - -65. Which is the nearest to f? (a) l (b) 1\/4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 671760681.\nAnswer: 3, 463, 483629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 324.1695mm to meters.\nAnswer: 0.3241695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 372 - 372.3. Which is the nearest to 2\/41? (a) 0.2 (b) q (c) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + 12245014023?\nAnswer: 12245014030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4}. Give prob of picking 3 l.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 146 = 4*h, 2*u - h + 149 = -3*u. Let t = 48 + u. Suppose -12*s = -t - 18. Solve -2*i = -s + 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 8422880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -373*z + 123*z - 238*z - 386*z to o + l*z and give l.\nAnswer: -874","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 15 + 2*q - 3*q + 2*q**3 - 3*q**3 to the form f*q**2 + x + y*q**3 + v*q and give x.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1283413110?\nAnswer: 2, 3, 5, 7, 23, 265717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1467.\nAnswer: 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 300 = -260. Suppose 2*g + n - 342 = 0. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in y**3 - 60*y**2 + 117*y - 58 = 0?\nAnswer: 1, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -4 (c) -2\/9 (d) 9.74 (e) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38 - -38. Let r be (x - -162) + (-10 - -10). Is 6 a factor of r\/3 - ((-4)\/4 - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -42125*l**4 + 4*l**3 - 1578*l - 25.\nAnswer: -505500*l**2 + 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-3)\/(-2)*((2 - 2) + 142)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (5 - 6) - -4 - 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d - d**2 - d**3 + 6 + d**2. Let i(f) = f**3 + 13*f**2 + 11*f - 7. Let g be i(-12). Let a be (g - 5)\/(-3 - -5). Calculate n(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 - -19. Let t(s) = 3*s**2 - s. Let a be t(1). Suppose -c = -b + a. Solve -c = -0*o + o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 51 + -69. Let s be (a\/36)\/(2\/(-32)). Suppose -s*v = -4*v - 2348. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence foym when four letters picked without replacement from {y: 1, m: 1, t: 2, o: 3, x: 3, f: 1}?\nAnswer: 1\/2640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 350698677 a multiple of 458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 6*y**2 - y + 8. Let c(b) = 5*b - 19. Suppose 2*k = 10, 2*q + 5*k - 45 = -2*q. Let v be c(q). Give u(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32831202.0979 plus 0.5?\nAnswer: -32831201.5979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (54 - 46) - 81?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*u = u + 70 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 4*n = -7*z + 1072, -2*z - 3*n = -541. Suppose -102*g + 220*g - 98*g = 600. Calculate the remainder when z is divided by g.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -169 - -965\/6. Find the common denominator of -53\/52 and x.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1371.97 - -1405. Let s = 0.111 - -32.889. Let d = s - l. Which is the nearest to 1? (a) d (b) -0.2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -859*l**3 - 2169*l - 2.\nAnswer: -5154*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 21 = -3*a, 2328*x - 6 = 2332*x - 2*a for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and -65494.33418?\nAnswer: 65499.33418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 4655*o**3 + 15*o**2 = 0?\nAnswer: -3\/931, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 85941.66um in nanometers?\nAnswer: 85941660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, j: 8, q: 1, l: 1, a: 3, o: 2}. What is prob of picking 2 a and 1 l?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 7 = -x - 2*x, -15 = -3*x. Let p = c - 2. Suppose g + 0 - 2 = p. Solve -5*z - 4 = f, -4 = -3*z + 5*z - g*f for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1133 - 1133 - (56 - -10)\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/102 and 14\/81.\nAnswer: 2754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 492458.7 kilograms in nanograms?\nAnswer: 492458700000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10711819007 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -53753609 and 3.\nAnswer: -161260827","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**4 - 11*z**3 - 158*z**2 + 512*z - 96.\nAnswer: (z - 4)**2*(z + 6)*(5*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w**2 - w. Let c(j) = -66*j**3 - 6*j**2 - 3*j + 45. Let g(t) = -c(t) + 3*h(t). What is the first derivative of g(i) wrt i?\nAnswer: 198*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1829\/200 - 363\/25. Calculate the common denominator of i and (-15)\/((-7)\/((-21)\/6)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -3*g. Let j(h) = 2*h. Let p(t) = -20*t. Let r(s) = 12*j(s) + p(s). What is 3*a(v) + 2*r(v)?\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3313\/36 - 361\/4. Find c, given that 0 + 4\/9*c**2 - 2\/3*c**5 + l*c**4 - 14\/9*c**3 + 0*c = 0.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-0.7.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 m when two letters picked without replacement from xhhhhhhmh?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9\/4 in -0.2, 0.2, 0, 104103, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 133464972 to the power of 1\/2, to the nearest integer?\nAnswer: 11553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 6:10 AM?\nAnswer: 7:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-6) + (-30)\/(-4). Suppose -3*c = -5*c + i. Let -a**c + 2*a**4 - 3*a**4 - a**4 - 3*a**5 = 0. What is a?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/4*(-9 + 7). Let p = -2 + 6. Suppose 85 = 3*k - z*f, 2*f + 28 = p*k - 3*k. Does 15 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.580296 millimeters in centimeters?\nAnswer: 0.6580296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 plus 15267?\nAnswer: 15275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 z when two letters picked without replacement from dddzzdzdzzzzdddyzy?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*n, -5*p = -4*p + 5*n - 10. Let y = p - -20. Let b = -1 - -7. Let x(d) = -5*d + 4. Let i(q) = 4*q - 3. What is b*i(f) + y*x(f)?\nAnswer: -f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000100010011111 - -11?\nAnswer: 10000100010100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -71 - -52. What is the second smallest value in 0.2, -0.5, r, -1\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 6 - 470*w - 7 - 587*w to the form p*w + b and give b.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, 6, 26\/7, -3369?\nAnswer: -3369","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (12 - 1 - 12) + -40 + -2\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 376536 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(1700) + (sqrt(1700) - (sqrt(1700) + -2))**2.\nAnswer: 6 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-6)*13\/(-52)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l + l**3 + 47*l**2 - 47*l**2 + 3*l**3 to the form c*l**2 + w + v*l**3 + z*l and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u**2 + 594*u**3 + u**2 + 4*u**2 + 296*u**3.\nAnswer: 890*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 3157335?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, a: 1, e: 1, t: 1, y: 7}. What is prob of sequence ota?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(272) + 4 - sqrt(17)) + sqrt(85)\/sqrt(45))*-2)**2 + sqrt(17) + ((sqrt(102)*2)\/sqrt(6))**2 + (6*(1 + sqrt(17)))**2)*6.\nAnswer: 1078*sqrt(17) + 27640\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 7*q**2. Suppose -2*v + 31 = -2*o + 5*o, v + 16 = 3*o. Let g(u) = 5*u - 7. Let x(y) = -2*y + 3. Let k(w) = o*x(w) + 3*g(w). What is k(i(c))?\nAnswer: 7*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 3*r - 137, 5*r - 3*r + 5*n = 106. Suppose -d = -4*y + 36, -y + 0*y - 2*d + 9 = 0. Calculate the remainder when r is divided by y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13151017 or -13151019?\nAnswer: -13151019","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1383*d**2 - 64 with respect to d.\nAnswer: 2766*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/6, 5, -1, 411?\nAnswer: 411","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*b + 459 = -n, 9*b - 8*b + 63 = -6*n - 2*b for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17 + 12. Is b at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/4 of a millennium?\nAnswer: 33000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 369\/10? (a) -1 (b) 2\/7 (c) 62\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1727 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: Let a be (19000002\/2 - -1) + -2. Round a to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -2*i**4\/3 - 2*i**3 + 8*i\/3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + -4 + (-117387)\/(-15) - (-36)\/(-45). Calculate the greatest common divisor of 3 and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-92*p + 34*p + 57289 - 57288)*(p**2 - p**2 - p**3).\nAnswer: 58*p**4 - p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*u + 3*u + 2*u)*(-u - u + 3*u) + 0*u**2 + 5*u**2 + 3*u**2 + (-3*u + 4*u + u)*(2*u + 3*u - 2*u) to the form c*u + j*u**2 + t and give j.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 3)*(-64*l + 25*l + 29*l).\nAnswer: -50*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0216407396 to 5 dps.\nAnswer: 0.02164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, -14582, -7, -0.03, 2 in increasing order.\nAnswer: -14582, -7, -0.03, 2\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29 by -31014.\nAnswer: 29\/31014","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40073550 divided by -268950.\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -302 (base 6) to base 7.\nAnswer: -215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(2\/9)\/h*h\/((h*h**(-6)*h)\/h*h)*(h\/h**(-6))\/(h\/(h*h**(3\/5))) assuming h is positive.\nAnswer: h**(532\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*f - 26. Let n = 15 - f. Suppose -28 = 5*b + 2*b. Is n >= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 5*z - 87 = -75, 2*k - 12 = -4*z for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, 0.04, 4, -3\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 7327 - 375 = -5*u, 0 = -4*a + 2*u + 7716. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 5666\/3113 and 3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19 and 8347.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r - 205 - 470 + 87 - 244.\nAnswer: 2*r - 832","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/(r*r\/(r**22\/r))*r*(r\/(r**(-10)\/r))\/r)\/(r\/(r\/(r*r*r*r*(r**(3\/10)*r)\/r))*r)**(-6\/19))**(-18) assuming r is positive.\nAnswer: r**(-59292\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2a1 - -c24?\nAnswer: ec5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 1:55 PM?\nAnswer: 9:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 39*k + 967. Give u(-30).\nAnswer: -203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 2353 (b) 16 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5752905 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 195618367 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -302*v + 305*v = -27 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 6 - 33. Is w a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (60\/(-105))\/(48\/(-294)). Let l(b) be the first derivative of -f*b**4 + 7*b**2 - 6 + 4*b - 4\/3*b**3. What is v in l(v) = 0?\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 334481?\nAnswer: 7, 71, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 7*p**3 - 379*p**2 + 68*p - 774. Determine d(54).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-11) + 17596\/(-41976).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*3*sqrt(325)*1)**2.\nAnswer: 2925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -3*u - 2*g + 27, -3*u = -3*g - 51. Let c = 34 - 18. What is the highest common divisor of c and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -55 - -51834?\nAnswer: 51779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, 0.38, -30\/73 in ascending order.\nAnswer: -2, -30\/73, 0, 0.38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 78191721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*d + 5*d - 12*d + 4*d**3.\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 5122.486 micrograms?\nAnswer: 0.000000005122486","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 7 = 5*p. Let k(h) = h**3 - 2*h**2 - 4*h + 4. Let b be k(p). Solve -b = m + 3*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 + 8*r**2 - 4*r - 16. Let a be c(5). Let w be (0 - 2)\/(10\/(-65)). Calculate the highest common divisor of w and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 50*v**2 - 159*v - 91. Determine g(-5).\nAnswer: 1954","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of -c**4\/6 - 2*c**3 + 7*c**2 + 341*c. Find x such that j(x) = 0.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 - 10*y + 2. Let x be m(-10). Is 1\/7 + 4245\/7*x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.466 and 0.2.\nAnswer: -0.2932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 69 + 2*i**2 + 2*i - 7*i**4 + 4*i**4 + i**3 - 12 + 65 in the form y*i**2 + m*i**4 + d*i + j*i**3 + s and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 - y + 121. Let a be o(0). Let n be 580\/52 - 2\/13. What is the greatest common divisor of a and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 - 5*q + 5. Let c be t(5). Let k = -5 + c. Put -3, k, -1 in decreasing order.\nAnswer: k, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y**2 - 24*y - 5 + 24*y to u*y + h*y**2 + q and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34739662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/2)\/(((-635)\/(-8763))\/((-10)\/6)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -650535, -650531, -650527, -650523?\nAnswer: -650519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43 (base 9) to base 14.\nAnswer: -2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = n - 7. Suppose -n + 2 = -4*o. Calculate the common denominator of 61\/12 and 0 + (o - 15\/2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*d**2 - 7*d**2 + 0*d**2 - 3*d**2 - 51547*d**3.\nAnswer: -51547*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (94\/2)\/((-7)\/(-14)) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 3*y**2 - 3*y. Let f(l) = -2*l**3 - 2*l**2 + 2*l - 1. Let i be f(1). Let x be g(i). Suppose 5*a + 1652 = x*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -205, -199, -195, -193, -193?\nAnswer: -195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(-40)*(14\/(-4) + 2)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from ttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.67482 rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 30638097 a multiple of 107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26335 + 79007\/3. Let n(k) be the third derivative of -z*k**3 + 0*k + 1\/6*k**5 - 1\/15*k**6 + 0 - 27*k**2 + 7\/12*k**4. Factor n(a).\nAnswer: -2*(a - 2)*(a + 1)*(4*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 26 and 117?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 4 = 4*w, -4*a - 3*w - 11 = -1. Let b = a + 9. Let x = 5717 - 5710. Solve -d = -4*d - y, -b*d = 4*y - x for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26532449, 53064897, 79597345, 106129793, 132662241, 159194689?\nAnswer: 185727137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/2283188 and -59\/13326.\nAnswer: 6849564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i - i + 5*i**2 - 3 + i**3 - 1 - 1. Let b be (-9)\/(-1 - 2) + (-13 - -5). Calculate c(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, h: 4, l: 3}. Give prob of sequence hhq.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4791 + -4326. Calculate the highest common factor of n and 420.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 8 + 3655\/(-215).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130858 is divided by 241?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 362 = -1549. Does 13 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jddieehwiidii. Give prob of sequence jdie.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (12 - 11*q - 21 + 8)*(2*q - q - 4*q)*(2*q + 2*q - 5*q) in the form n*q + i*q**2 + s*q**3 + p and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4364089?\nAnswer: 23, 189743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -771 + -19?\nAnswer: -78a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3 = 3. Calculate the highest common factor of 42 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 41*k**3 + 2*k**2 - 2*k + 8. Is 10 a factor of o(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 3*q + 5. Let n(j) = 3 - 4 + 2*j + 2 + 3. Let r(o) = 4*n(o) - 3*p(o). Let a(t) = -2*t + 1. Determine -3*a(y) + 4*r(y).\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a + 2*a - 3*a + (0 - 1 + 4)*(133*a - 40*a + 134*a).\nAnswer: 680*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmmniimmmnpmpmm. Give prob of sequence mpi.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b - 5. Let u be n(0). Let g = u - -1. Does 12 divide g - -3 - -3*17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -26*o + 9*o - 17*o + (0*o - o - o)*(-1 + 3 - 1) - 3*o + 2*o + 2*o + (2 - 1 + 0)*(o + o + 0*o).\nAnswer: -33*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126221.\nAnswer: 113, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = -8*c + 61. Calculate the highest common factor of c and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -661, 1, -2 in ascending order.\nAnswer: -661, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/5 (b) -0.5 (c) 0 (d) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 77 or 0?\nAnswer: 77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 bigger than -497\/41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9852 is divided by 1 + 22620\/104 + ((-3)\/2)\/(-3).\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/3)\/(1\/3). Is (j + -5 - -216) + -2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, w: 11}. Give prob of sequence ws.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**4\/13 - 9976*n**3\/13 - 89676*n**2\/13 - 268920*n\/13 - 20682 = 0. What is n?\nAnswer: -4979, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 - 49*l**2 + 180*l - 4. Suppose 223 = 5*q - d, 82 = 2*q + 6*d - 20. Give r(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 555 a factor of 53407650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19015 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 20. Let m = d + -6. Is 6 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -67*n**3 - 3*n**2 + 1021*n + 1022. Give a(-1).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -1. Suppose k*n = -f + 5*f - 24, -5*f = -2*n - 18. Let s = -11.1 - -11. Which is smaller: s or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 495 and 198?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 221029 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 66 and 96.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 4*p - 37. What is the units digit of a(11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lv when two letters picked without replacement from dicidnliidvii.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*g + 2*g + 5*g)*(6 - 6 + 9*g**2).\nAnswer: -81*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-42)*(-1260)\/2700.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 6*m + 32 = 0. Let u(l) = l + 11. Let k be u(m). Let o(a) = a**2 - 4*a + 3. What is o(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -18*n + 13*n. Solve -13 = n*o + 7 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*a - 5*a + 7*a)*(5*a**2 + 0*a**2 - a**2) + (-1 + 2 + 14)*(3*a**3 - a**3 + 0*a**3) as w + i*a + j*a**3 + c*a**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 - 14?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 4*a - 11. Let t(u) = u**2 - 7*u + 20. Calculate 7*r(m) + 4*t(m).\nAnswer: 4*m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + q = -4*v + 16, -3*v + 32 = -5*q. Is -4 - -5 - (-1872)\/v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of -10*x**3\/3 + x**2\/2 - 2*x + 3. Let o be j(1). Let f(a) = a**3 + 10*a**2 - 12*a + 21. What is the units digit of f(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a week in seconds?\nAnswer: 30240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -147367\/2, 1\/11, 13\/2?\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (14 - 1 - 3)*(4*o - o - 4*o)*(58 - 20 + 27) in the form z*o + y and give z.\nAnswer: -650","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*q**3 + 42*q**3 + 56313*q - 56313*q - 56*q**3.\nAnswer: 18*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 - 17 = 2*h + x, -2*h - 26 = -x for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 299030 and 20.\nAnswer: 598060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -16*g + 28. Let u(b) = -19*b + 30. Determine 6*u(p) - 7*z(p).\nAnswer: -2*p - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 4*y - 22 = 0, -5*y - 33 = -2*r - 2*r. Suppose -30 = -r*q + 5*q. Let p be (128\/40)\/((-2)\/q). Solve -2*k = 4*n - p, 4*n = -n - 4*k + 23 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (26\/91)\/(65\/35) + (-4)\/26. Let a(b) = -b**2 + 2*b - 73. Give a(u).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 6. Let f = -1.591 - -1.791. Sort -1\/5, 9, f, d in decreasing order.\nAnswer: 9, f, d, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44, 1, 5, -17, 2.\nAnswer: -17, 1, 2, 5, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/24 of a century?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 71*v**2 - 2*v**2 - 6*v**4 + 310 - 46*v**2 with respect to v.\nAnswer: -24*v**3 + 46*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2255)\/5*1*2*(-5)\/110?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*i - 1025 = 20*i. Are -29 and i non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 125 = -0*c. What is the remainder when c is divided by 2\/(-4) - (-38)\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -412 - 3.89\nAnswer: -415.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n*n\/(n\/(n\/((n**(-3\/7)\/n)\/n)))))\/n)\/(((n\/(n*n\/(n**(-4\/11)*n)*n))\/n)\/n) assuming n is positive.\nAnswer: n**(-5\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85872 is divided by 75.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25921713297150 + -0.5.\nAnswer: -25921713297150.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 3431*s**2. Let r(i) = -3*i. Calculate j(r(n)).\nAnswer: 30879*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + 0 + 2 + 5. Suppose 5*q = 3*y + i, -2 = -2*y - 2*y + 2*q. Let r(b) = 3*b. What are the prime factors of r(y)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 10, d: 2}. What is prob of picking 2 f and 2 d?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2e36 (base 16) to base 15.\nAnswer: 378a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25 + 25. What is the nearest to 2 in t, 1\/2, -0.3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -34 - -8 - -13 - (-4 - (4 + -1)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -357 in 12\/13, -5, 3\/4, -15\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/7, 2\/3, -3, -1, -209, 1, 1450?\nAnswer: -209","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1126.\nAnswer: 2, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c**3 - 2*c**2 + 2*c + 2. Let t(q) = 2*q**2 + 2*q**2 + 2*q + q**2. Let o be t(-2). Suppose 4*p = -0*g - 2*g - o, -5*g - p - 13 = 0. Give s(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -51320219, -102640437, -153960653, -205280867?\n\"Answer: x**2 - 51320221*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 35 = 5*w, 3 + 11 = w - 2*o. Suppose 2*d = w*z - 4, -4*d + 8*d = 5*z - 8. Let r(j) = -j + 5. Give r(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 995 - 609. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3644 + -3649. Which is the closest to 0.6? (a) l (b) 0.5 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51, 135, 219?\nAnswer: 303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1054 divided by -34.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/g**(-5\/6)*g)*g*(g\/g**(-7))\/g)\/(g**(-1\/3)*g*g**(2\/15)))**(-49) assuming g is positive.\nAnswer: g**(-7889\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 + 4*q**2 + 6*q - 4. Suppose 20 = 10*x - 6*x. Suppose x*i - 15 = 10. Calculate w(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 924, 920, 906, 876, 824?\nAnswer: 744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -404*k**2 + 5*k**2 + 22*k**2 - 89*k**2 - 35*k**2 - 4*k**3 in the form d + t*k**2 + g*k + v*k**3 and give t.\nAnswer: -501","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37943484 is divided by 62613.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of 0 + 1\/105*p**7 + 1\/75*p**6 + 0*p**2 - 1\/50*p**5 - 1\/30*p**4 - 11*p + 0*p**3. Let x(c) = 0. Calculate c.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2030 and 730.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 33 from 1.93.\nAnswer: -31.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 236639280 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1929 + -919. What are the prime factors of d?\nAnswer: 2, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.01 - -0.04. Let w = 36.67 + -38.7. Let f = w + o. What is the nearest to 0 in f, 5\/6, 4?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0186472 to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t**4 + 2*t - 5*t**4 + t**3 + 2*t**2 + 4*t**3 + 2*t**4 in the form u*t**2 + p*t**3 + f + y*t + d*t**4 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 6913 divided by -223\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 3*s + 6. Let t be j(-4). Let i(r) = -r**3 - 7*r**2 - 5*r + 7. Calculate the lowest common multiple of i(t) and ((-12)\/(-2))\/(1 - 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2996698343 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*m - 2*m**2 + 3041 - 3056 + 29*m + 5*m**4 as o*m**3 + v*m**2 + y + j*m**4 + n*m and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 318, 668, 966, 1182, 1286?\nAnswer: 1248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z**2 - 14*z - 10. Give s(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s. Let q be o(4). Let f(d) = -2*d**2 + 52*d - 46. Let x be f(25). Solve q*b + 1 = 4*j - 3, -5 = -b + x*j for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2351 - 18759\/8. What is the common denominator of f and -103\/14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -k**6 - 24*k**3 - 68*k**2 wrt k.\nAnswer: -120*k**3 - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2.2 times -0.1\nAnswer: 0.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -655 <= -19018\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 6 + 3. Suppose -425*t + 872*t + 55 = 502*t. Sort i, -2, t, 8 in increasing order.\nAnswer: -2, t, i, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7793 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4098920 is divided by 324.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l**5 - 47885*l**4 + 621570*l**3 + 861020*l**2 - 2486360*l - 2677920 = 0 for l.\nAnswer: -2, -1, 2, 14, 9564","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 524 is divided by 107?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.63+-1872995363411\nAnswer: -1872995363410.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -3*j - t + 34, 0 = -5*j + 5*t + 50. Calculate the highest common divisor of j and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 6 - 1)*(2 - 4 + 3)*(1 - 3 + 1)*(-i**4 + 4*i**4 - 2*i**4).\nAnswer: 12*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 4*o + 4*o - 5*o. Let s(q) be the first derivative of 2*q**3\/3 - 6. Give p(s(j)).\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 837 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*f**2 - 3*f**2 + 0*f**2)*(-27 + 40 + 37*f + 5*f**2 - 16) to the form h*f**3 + d*f + t*f**2 + u*f**4 + c and give h.\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h = 10*h - 4*n - 4, -n = -2*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*p + 4*d, -100*p - 5*d + 80 = -95*p. Let k = 34 + 41. What is the least common multiple of p and k?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11276?\nAnswer: 2, 2819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 504463.1 weeks to milliseconds.\nAnswer: 305099282880000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 1141?\nAnswer: 1136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus -30264213480?\nAnswer: 30264213479.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 49046905822318 and 2?\nAnswer: 49046905822316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -713456783 divided by 5.\nAnswer: -713456783\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.6564078 + 0.6571. Round i to five dps.\nAnswer: 0.00069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 22 + 28. Suppose -v*w = w - 20. Let x(f) = 5*f - 6. Let t(q) = -q. Let c(j) = -4*t(j) - x(j). Calculate c(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + (-12 - -20) - ((83 - 9) + 11)) + 4.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 a when three letters picked without replacement from {z: 11, u: 2, a: 1}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -56, -109, -162?\n\"Answer: -53*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a decade in years?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 844441.\nAnswer: 13, 17, 3821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + -275885?\nAnswer: -275881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6275423 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50, 62, 82, 110, 146, 190, 242?\nAnswer: 302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12 + 67*b**2 + 8 - 236*b**2 - 52*b.\nAnswer: -(13*b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 5 - 4)*(4*i**5 + i**5 - 2*i + 2*i**5).\nAnswer: 21*i**5 - 6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 240, 954, 2144, 3810, 5952?\n\"Answer: 238*x**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.37 - -0.87. Let m = -0.9 - i. Suppose 4*w - 4*q = 16, -3*w = 2*q - 3 + 1. Which is greater: w or m?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(15) - (sqrt(15) + 3*2*sqrt(15)))\/(sqrt(363)*2))**2 + 6*(4 + (sqrt(245)*4 - sqrt(245)) + sqrt(245))**2.\nAnswer: 1344*sqrt(5) + 2857581\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4665408 divided by -2068.\nAnswer: 2256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11\/10? (a) -0.065 (b) 2\/31 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 425 and 901?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46\/(-5) - 10*(-15)\/750.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -3*c + 4. What is a(11)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3941147 and 1134.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 842?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -12. Let d = -5.0002 - i. What is d rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = 3*i - 93, 231948*c = 231946*c - 4*i + 54 for c.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -264, -1, -2 in descending order.\nAnswer: -1, -2, -264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 4 and 2668125 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63389*m - m**2 + 63397*m - 253507*m + 63327*m + 63394*m.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/26 and ((-42)\/(-4))\/(5\/(-6))?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72425361 and 1098.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-47 + 47 - d)*(-d + 462*d**2 - 465*d**2 - 10 + 7*d**3 + 8) in the form h*d**4 + p*d**2 + l*d**3 + o + s*d and give h.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4019 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: What is the next term in -86806, -173601, -260396, -347191, -433986?\nAnswer: -520781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -310 in descending order.\nAnswer: 3, 2, -310","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -106 and 2.\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -2 (b) 1 (c) 0.048\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7934584 rounded to the nearest 10000?\nAnswer: 7930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 j when two letters picked without replacement from ffjjjff.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (16\/10 + 0)*19\/(1102\/1015). Solve -58 = -s*m + 110 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 686*p - 2. Let u be i(-2). Calculate the common denominator of (-69)\/44 + 3\/12 and u\/(-336) + 4\/14.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1423 + 124*g**3 - g**2 + 4*g**2 + 26*g + 106*g**3 + 668 - 229*g**3 wrt g.\nAnswer: 3*g**2 + 6*g + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3\/2 + 320992*c**2 - 51515364000*c - 824328000000.\nAnswer: -(c - 321000)**2*(c + 16)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*(-3)\/(-12)*-2. Let s be b*-3*(-2)\/(-3). Let v = 234 + -231. Solve s*z - v = 1 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -3*v + 3*c, -3*v + 45 = 5*c + 9. Let o(s) = -s**2 + 27*s - 110. Let k be o(22). Solve -4*g + v - 28 = k for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**1*q*q*q**(-2)\/q*q)**29*q**(-2)*q*q**(2\/3)*q*q*q**(-3\/8)*q**(2\/7) assuming q is positive.\nAnswer: q**(5137\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-3) + (-396)\/(-108)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29408132 by 4.\nAnswer: -7352033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, q: 1, j: 2, d: 2, s: 1}. What is prob of sequence gsq?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-12) - (-2)\/6. Let s = 634 + -634.4. Put s, j, -2 in ascending order.\nAnswer: -2, s, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2821, 2812, 2795, 2770, 2737, 2696, 2647?\nAnswer: 2590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + -2411433444?\nAnswer: -2411434002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from bqqbbbb?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9597, -9548, -9417, -9204, -8909, -8532?\nAnswer: -8073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 12980 - 3\nAnswer: 12977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25260233 is divided by 120.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 811233 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 15 = -2*x - 3, 0 = -2*i - x + 11. Suppose 0 = -v + i*v - 20. Suppose v*q - 152 = 23. Is 14 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -202 - -202. Solve 0 = 3*d + f - 4*f - 6, c = -d + 5*f - 2 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 106536325 and 3325.\nAnswer: 3325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/3? (a) -14 (b) -3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w, 1 u, and 1 r when four letters picked without replacement from wruwhuf.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (3 - 42\/(-4) - 11)\/((-10)\/(-1416)) is divided by 103.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 247.01 (b) -0.4 (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -198, -395, -606, -837, -1094?\nAnswer: -1383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6\/5 of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1216) + 2*(1 + sqrt(1216)) - (sqrt(1216)*2 + 4)) + 2)**2.\nAnswer: 1216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 6 = 2*c, -8*d - 4*c = -3*d - 6. Let x be 1\/(-3)*(1 - 3 - -2). Which is bigger: d or x?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-72)\/21*1918\/(-5480)*10\/14?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 456*7.5.\nAnswer: 3420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-3)\/(-45) - 22\/(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -789, -1465, -2137, -2805, -3469, -4129?\n\"Answer: 2*n**2 - 682*n - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 812, 1731, 2658, 3599, 4560, 5547, 6566, 7623?\n\"Answer: h**3 - 2*h**2 + 918*h - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(2304))\/((sqrt(72) - sqrt(8))*-2).\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -2. Let a be 4\/(-6)*75\/(-10). Let r = 1.06 + -0.06. Put k, r, a in decreasing order.\nAnswer: a, r, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*s - s, 2*l - 4*s - 36 = 0. Let m(p) = -p**3 + 11*p**2 - 11*p + 16. Let w be m(l). Solve 5*a + 3 = 2*g, 0 = 4*g - 5*a - w - 5 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**5\/5 + 12644*b**4\/5 - 791496*b**3\/5 + 766204*b**2\/5 + 791494*b\/5 - 778848\/5 = 0.\nAnswer: -6384, -1, 1, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 172 (b) 10634 (c) 5 (d) 2\/5 (e) -4 (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 121 + 105 - 19*h - 226. Let m(n) = 9*n**2. Determine w(m(d)).\nAnswer: -171*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 36\/11 and -22\/22082161?\nAnswer: 242903771","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -2513\/154876?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 47 - 12 - (19 - -5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 91 + -93. Let d be f\/5*(-450)\/((-5)\/(-1)). Let a = 355 - d. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 7999?\nAnswer: -7997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1449, -1501, -4451?\nAnswer: -7401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -4) + -3 + (-2 - -7)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 AM and 1:45 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n - 760026660 + 760026660 - 2*n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-9)*12\/80\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/216 and 3\/189328.\nAnswer: 5111856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6713346694?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v + 3. Let l(i) = 7*i + 8. Let j(w) = 3*l(w) - 8*y(w). Let c(n) = -n. What is c(j(f))?\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/k**6*k)\/(k\/k**(-12)))\/(k**(-1\/4)*k**(1\/9)*k*k))**(-49) assuming k is positive.\nAnswer: k**(33271\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 954 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 5*j - 4, 3 = 4*l - 2*j - 1. Let f be 17\/3 - (-2)\/6. Find the first derivative of -3 - 4*m**2 + f + 6*m**l wrt m.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.002 + -0.222. Let r = s + 0.22000117. What is r rounded to 7 decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of -41\/60*b**5 + 0*b + 0*b**4 - 1\/6*b**3 + 78*b**2 + 0. Calculate r(-1).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of -3*b**2\/2 - b - 110. Let q be g(-4). Solve 7 - q = -2*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 10. Suppose u*p - 10 = 2*p. Solve p*q - 3*q = -5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - ((-4)\/2)\/(-1). Sort -2, 4, r in increasing order.\nAnswer: r, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*n = -73*n + 1224. What is the smallest common multiple of 4 and n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 173306579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8664, 10521, 12380, 14241, 16104?\nAnswer: 17969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 215*a**2 - 640*a**2 + 218*a**2 + 209*a**2.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 9*m**2 - 13*m - 9. Let q be o(7). Let d be (q\/4)\/(12\/(-8) - -2). Let b = 1\/49 + -127\/1421. Is b smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/4 + 6\/3. Let u = -0.024 + -0.176. Which is the third smallest value? (a) u (b) i (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 164381 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: Is 15 a factor of 2470?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13657671 is divided by 235474?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42*v**4 - 42*v**4 - 418*v**4)*(4 - 2 + 0).\nAnswer: -1004*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*h - 14*h = -1, -5*o - 15 - 12 = -17*h for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 60474 + -31626. What are the prime factors of b?\nAnswer: 2, 3, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of -7*r**6\/360 - r**5\/60 - r**4\/24 - 8*r**3\/3 - 11*r**2. Let o(j) be the first derivative of n(j). Calculate o(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.2, -4, -0.3, -7, -3938?\nAnswer: -3938","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2091871 - 6\nAnswer: -2091877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 - 24*q**2 - 52*q + 15. List the prime factors of h(26).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-3)*((g\/(g\/(g**(-1\/3)\/g)))\/g)\/g)\/((g*g**(1\/7))\/(g**(-4)*g*g))*g**(-2)*(g\/(g**3*g))\/g*g**(-2\/5)\/(g\/g**(2\/5)) assuming g is positive.\nAnswer: g**(-199\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 440158\/7 + -62768. Do c and 112 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 44 - 50. Is -1\/4 greater than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 5*o - 1045 = 0, -u - 4*o = 3*u - 860. Suppose u - 42 = 5*a. What is the remainder when 66 is divided by a?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80884967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 388.85 and -0.5.\nAnswer: -194.425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -174*t**3 - 9*t**2 - 4*t + 16. Let o(j) = -2*j - 18. Let w be o(-6). Let y be q(w). Round y to the nearest one thousand.\nAnswer: 37000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24339 is divided by 256.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3983387 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -y**4 + 2*y + 0*y**4 + y**3 + 2*y**4 - y**2 in the form z*y**2 + o*y**4 + g + x*y + v*y**3 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2905157.\nAnswer: 19, 107, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -z + 23. Let d be ((-8)\/z)\/(1\/2). Put -3, 0, d in ascending order.\nAnswer: -3, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 433 divide 370648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 942079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 57 = 2*j - 0*j, -4*a - 3*j = 76. Let y = a - -24. Solve -y*x**4 - 3*x**2 + 9*x**4 - x**2 = 0 for x.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -202.\nAnswer: -3\/202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*m**5 - m**4 - 2*m**5 - 2*m**2 + m**4 wrt m.\nAnswer: 60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -44 + 87. Let o(y) = 126*y**3 + 3*y**2 - 3*y + 2. What is the remainder when o(1) is divided by w?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/(-12) + 8\/3. Let w(o) = -o - 3. Let j be w(-5). Suppose j*x = -z*x + 356000. What is x rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 144*q**2 + 150*q**2 + 30263 - 31646 wrt q?\nAnswer: 588*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 701 times -14\nAnswer: -9814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1186 + 80.4474.\nAnswer: 1266.4474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 680 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15\/4 - 7\/2. Let j be 3\/(-12)*3 + 1. Find p such that 0 + j*p**2 - s*p = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (sqrt(612) - (1 + sqrt(612) + sqrt(612))))*3)**2*5.\nAnswer: 1080*sqrt(17) + 27720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/7 (b) 4\/9 (c) -2548091 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and (20\/56*-20)\/((-13)\/91)?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 152 - -40. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/85 (b) 5 (c) -4 (d) 87\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 156.317 - 0.317. Let i = x + -278. Let t = 121.9909 + i. Round t to three decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -133 - 2?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -257*n + 260*n = 27. Solve 13*u - 12 = n*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -45 + -2230?\nAnswer: -2315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/36)\/(48\/384) - (-12)\/(-18)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.7 in -11, 3, 3\/7, -0.5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 + -28. Let t = 19 + n. Suppose -3*f - 2*m + 10 = -4*m, -2*m - t = 0. Solve 3*g = -3*z + 18, -f*g = z + 2*z - 17 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (20\/240*0)\/(5\/5)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 7*a + h = -2*h + 102, -127 + 212 = -5*a - 3*h for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of -10*v**8\/7 + 19*v**4\/6 + v**2 + 63*v. What is the third derivative of x(h) wrt h?\nAnswer: -9600*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20784 - -47569. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 327.2499 years?\nAnswer: 3.272499","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 0, 2, 6840 in ascending order.\nAnswer: -0.4, 0, 2, 6840","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-8 - 0) + 3\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + -18. Let p = -11 + 13. Sort 1, p, o.\nAnswer: o, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 2*r + g - 10046, -3*r + 15069 = -5*g. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is (((112\/30)\/28)\/(1\/45))\/(-34)?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2791226?\nAnswer: 2, 1395613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27873, -27874, -27875, -27876, -27877?\nAnswer: -27878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8 + -5 - -1)*(-11)\/(-2). Let p be (1 - (-1 - -1)) + m. Let i = -1 + 3. Solve 3*x - i*x = 3*z - 13, -5*z + p = -3*x for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -473 (base 12) to base 13.\nAnswer: -3c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a. Suppose -y + 3 = 5*m - 2*m, -2*m = 3*y - 16. Let h(f) = -f + 8. Let k be h(y). Let j(c) = -4*c + 4*c - c**k - c**2. Give j(g(n)).\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*2*sqrt(3388))\/(sqrt(12)\/sqrt(3)*4*-4) + -2)**2*2.\nAnswer: -11*sqrt(7) + 1103\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 39b280 - 1?\nAnswer: 39b27b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/9? (a) 0.1 (b) 3 (c) 15\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + 5247*r**2 - 2*r - 10. Give m(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 189 - 188 - (-7 - 2).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4162486406?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 136*r - 138*r = 6, 0 = 5*l - 5*r + 5 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - 6*v**2 - 3*v + 6. Let p be w(-5). Let l(g) = 2*g**2 + 4*g - 2. Calculate the remainder when 27 is divided by l(p).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 224 divide 412832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-2)*3*3\/(-9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13)*-2 + 3 - (0 + sqrt(52))) + (sqrt(468) - -3*(2*sqrt(468))**2) + 0 + -5.\nAnswer: 2*sqrt(13) + 5614","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -40.2 + 41.1. Which is the fourth smallest value? (a) -9 (b) 0.2 (c) 4 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/49864 and -53\/280?\nAnswer: 1745240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 193123?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((900\/(-63))\/(-10))\/(2\/7) is divided by ((-2)\/(-4) - 0)*4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6241 <= -43677\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -597?\nAnswer: 4\/597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y. Let n(f) = -10*f - 129. What is n(h) - 4*q(h)?\nAnswer: -2*h - 129","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -4*x**4 + 125*x**3 + 5*x**2 + 5*x - 440. Let n(l) = 5*l**4 - 126*l**3 - 6*l**2 - 6*l + 440. Let u(q) = 5*n(q) + 6*t(q). Differentiate u(o) wrt o.\nAnswer: 4*o**3 + 360*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 235 - 234. Let x = -11.05 - -0.05. Let h = 292 + -293. Which is the smallest value? (a) l (b) h (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 1. Let g(u) = -2*u**3 + u**2 + u - 6. Let p(l) = g(l) + 6*r(l). Let h be p(-1). Factor 4*f**3 + f**4 - 4*f**h + 7*f**2 + f - f**3.\nAnswer: f*(f + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 AM and 5:18 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*y - 2 + 11*y - 24*y + 2.\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.12 and -0.082.\nAnswer: 0.00984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 4:21 PM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9142700 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3057714269.\nAnswer: 181, 16893449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 AM and 4:13 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 142, 865, 2766, 6433, 12454, 21417, 33910, 50521?\n\"Answer: 98*h**3 + h**2 + 34*h + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 f when three letters picked without replacement from mqfmmllrrmflllrfqq.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*k**4\/11 - 270*k**3\/11 - 328*k**2\/11 - 72*k\/11 = 0. Calculate k.\nAnswer: -18, -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - -1dd?\nAnswer: 1dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1297 + -1227. Let a = 30 + 5. What is the highest common factor of a and z?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 + 6*r + 7. Let z be w(7). Let g = 1 - -1. Let f = -2 + 4. Solve -q + f*v = -z*v - 6, -2*q = g*v for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w. Let n(t) = 1027*t**2 + 91*t. Let r(j) = -57*j**2 - 5*j. Let u(x) = -5*n(x) - 91*r(x). What is o(u(g))?\nAnswer: -104*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20950, 5, -5, -2261 in ascending order.\nAnswer: -20950, -2261, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one halves of a millennium in decades?\nAnswer: 3050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10298\/5 - -2053. Is -8 greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4746 - -80749\/17. Let t = -1587058 - -485638729\/306. Let g = t + h. Calculate the common denominator of 79\/14 and g.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 3:41 AM?\nAnswer: 12:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - 377c?\nAnswer: -3781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0619 + 38.2381. Let r = -33.3 + z. Which is the closest to 2\/3? (a) -1 (b) 3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72773 is divided by 24213?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5773?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8184*i + 8180*i - 5*a = -27, -6*i - 5 = a for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 2106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*s - s + 3*s)*(-2*s - 2*s + s).\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33793 - 8136. Let k = -13728 + p. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/2 (b) -1\/6 (c) 521 (d) 0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**3 + d**3 - 6*d**3 + (0 + 0 + 2*d**2)*(-118 + 118 - 243*d) in the form a*d**2 + k + w*d**3 + x*d and give w.\nAnswer: -492","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -207*s - 30 = -177*s. Let r(a) = a**2. Let i(t) = -t**2 - 2. Determine s*i(z) - 3*r(z).\nAnswer: -2*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000116720236 to 5 dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 134, 216, 288, 344, 378?\n\"Answer: -o**3 + o**2 + 86*o + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of i**7\/105 + i**4\/24 - 10*i**2. Find the second derivative of m(d) wrt d.\nAnswer: 24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-168)\/70)\/(4*(-9)\/1710). Let a be ((-239)\/(-5) - 1)*25. Suppose u - 5*k = 463 + j, 2*u - 2*k = a. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wob when three letters picked without replacement from bodovmdwwwmv?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oyykkkoyymmk. What is prob of picking 2 k and 1 m?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 4*s**2 - s + 3. Suppose 0 = u - 7, 15*u - 255 = -12*b + 18*u. What is the remainder when v(-3) is divided by b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 674*a**3 - 3180*a + 1586*a + 1592*a + 3*a**3 - a**3 + 3*a**3 + (-2*a**2 - a**3 + 2*a**2)*(-2 + 2 + 2).\nAnswer: 677*a**3 - 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2059?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 11*q**2. Let w(o) = 11*o**2 - 7*o. Let t(g) = 3*g**2 - 2*g. Let d(p) = 7*t(p) - 2*w(p). Give d(u(s)).\nAnswer: -121*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29142 and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 p when two letters picked without replacement from {n: 10, p: 2, t: 3, x: 5}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 3*a - 5 = 10, 0 = 5*a - 15. What is the remainder when 276 is divided by j*(-7)\/(-14) + 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1125828 and 396?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1019495 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2771 is divided by (-21)\/7 + 4 + 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -150*t - 276477043 - 51977957. What is t rounded to the nearest ten thousand?\nAnswer: -2190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 118 - 76. Let d = -2610076 + 2610033.99884. Let k = r + d. What is k rounded to 4 dps?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 + 12*k - 4. Let h(s) = s**2 + 18*s - 6. Let w(t) = 7*d(t) - 5*h(t). Calculate w(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10 + -1459?\nAnswer: -1469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -812.4*4.\nAnswer: -3249.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**2 - 3*u**2 + 2*u**2)*(u + 3*u + 0*u).\nAnswer: -12*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 2*g - 12 = 0. Solve -g = z - 2 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/233 - -1878\/1631. Factor -24\/7*o - 12\/7*o**3 + 2\/7*o**4 + w + 26\/7*o**2.\nAnswer: 2*(o - 2)**2*(o - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 1\/5, 834, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 + v - 194. Let d = -43 - -86. What is the remainder when d is divided by o(-15)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 AM and 12:05 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 101940810, 203881625, 305822440?\n\"Answer: 101940815*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 + 309*f**2 - 14917*f - 1378. Determine h(60).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 639205989 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*g*o**3 - 14*g*o**2 - 34*g*o + g + 26114*o**3 + 2*o**2 + 387629*o wrt o?\nAnswer: -48*g*o - 28*g + 156684*o + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2*36\/(-15) - (-19)\/95) + -2. Solve 4*n + 0*n - 2 = 2*q, 0 = -3*n + t*q + 9 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(1 - (2 + -2)). Let i(q) = 468*q**2 - 5147*q - 8. Let v be i(11). Sort 2, m, v in decreasing order.\nAnswer: v, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 26*v - 10. What is the tens digit of b(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/91 and -71\/819.\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*w - 390 - 66. Let m = 60 - w. Let f(u) be the second derivative of -7*u**4\/12 + 5*u**3\/6 + u. Let y(v) = -4*v**2 + 3*v. Determine m*f(o) - 5*y(o).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18160240 and 56.\nAnswer: 18160240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13438 by -13438.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 333 - 146. Suppose -2*m + 3 - 1 = 0, g = -2*p + m. Let j = -17 - p. Calculate the least common multiple of 14 and j.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35) + sqrt(280)\/(sqrt(16)\/sqrt(2)) - (sqrt(1715) - sqrt(1715)*2))\/(sqrt(252) + -2*-4*sqrt(252)).\nAnswer: sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24316, 48120, 71924, 95728, 119532?\nAnswer: 143336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16737205 + -5.\nAnswer: -16737210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 87 - 33. Is t a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-54*r - 1286 + 1286)*(-1 + 52 - 30)*(3 - 3 - r)*(-1 - 3 + 5).\nAnswer: 1134*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -61, -79, -117, -181, -277, -411?\n\"Answer: -n**3 - 4*n**2 + n - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 + 27. Suppose -3*h + 14 = x, 5*h - 2*h - 18 = i*x. Let a be (-3)\/(63\/(-6)) + (-26)\/(-154). Is a smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14087 + 27552 - 16393 = -61*s for s.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*x**2 - 14*x**2 + 11*x**2)*(-2*x + x - x)*(3*x**2 + 0*x**2 - 5*x**2).\nAnswer: -72*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p - 10 = -14*p. Suppose -o - 43 - 3 = -3*k, -p*k + 5*o + 90 = 0. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wd when two letters picked without replacement from {w: 2, z: 2, d: 2, m: 4, p: 3, e: 2}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -9*r**2 - 3*r - 2. Let o(u) = -10*u**2 - 3*u - 2. Let n(w) = 6*f(w) - 5*o(w). Let m be n(-1). Put -1, 4, m in descending order.\nAnswer: 4, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ghf when three letters picked without replacement from hfqgb?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 729 - 729. Put y, -3, 0.03, -1.7 in increasing order.\nAnswer: -3, -1.7, y, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5 - (310\/35 - 4). What is the closest to -1\/2 in -2\/3, 0.03, c?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 + 26*y. Let v(d) = -11*d. Give z(v(k)).\nAnswer: 121*k**2 - 286*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -33.7 * 2\nAnswer: -67.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {j: 9, y: 1, n: 1, e: 2}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/83 or -7\/2?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q + 0*q - 66*q + 893608 = 0. What is the ten thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 244707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 88\/308 + (-2)\/(-14).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46 + 16. Let z be (9\/(-4))\/(v\/16). Let a = z + -7\/10. What is the third smallest value in 3, a, -0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -70*i**3 + 31*i**2 + 2*i + 14. Give y(-2).\nAnswer: 694","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2*i + 2)*(-1 - 7 + 3)*(-54 - 12*i + 54) as q*i + v*i**2 + k and give v.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 226*j**2 + 3140*j + 2497. Determine c(-13).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of 0*d - 1\/20*d**5 - 5\/24*d**4 + 11\/6*d**3 + 0 + d**2. Let h(f) = f**2 + 2*f - 4. Let l(r) = 6*g(r) + 17*h(r). Determine l(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 14, 1, -38, -115, -242?\n\"Answer: -2*u**3 - u**2 + 4*u + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 40\/29 (b) -1\/14 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 422393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1551*g**3 - 664*g**2*k**3 + g*k + 3*g - 4*k**3 + 1540*k**2 + 2*k wrt g.\nAnswer: -9306*g - 1328*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 3*m**2 + 6)*(8312 + 116*m**2 - 8312).\nAnswer: -348*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a = -13*a - 6*a. Solve 0*u - 4*u - 5*l + 33 = a, 2*u + 16 = 4*l for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 162 and 2673?\nAnswer: 5346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1869404914 is divided by 119.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -141686, -141723, -141760, -141797, -141834, -141871?\nAnswer: -141908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23293 - 4955. Let x = s - 27538. Round x to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/2)\/((-3)\/4). Suppose t*p = -p + 240. Calculate the greatest common divisor of p and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.34359 and 1.\nAnswer: -0.34359","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -5*t**2 + 29*t. Let c(j) = 6*j**2 - 30*j. Let n(u) = -3*b(u) - 2*c(u). What is l in n(l) = 0?\nAnswer: 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173*x - 280*x = 263*x + 241*x - 61100 for x.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3*n + m + 13 = 0, -2*m = 4*n + 2. Suppose -n*x = -3*c - 2*c + 44, 2*x + 4 = 0. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 335562013.\nAnswer: 401, 479, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-10)\/(-30) + 40\/(-3))\/(-1). Suppose -f*v + 11 + 28 = 0. Factor 0 + 0*x + 2\/3*x**v + 2\/3*x**2.\nAnswer: 2*x**2*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 3*h + 924930002, -3*h + 2*n = -n + 924930003. Round h to the nearest 1000000.\nAnswer: -308000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = 3*c - 16, -4*w + 4*c = 393 - 365 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6159?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1 + 673)\/(-6 - -8).\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6513)\/(-20708) + 1\/(-4).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-14)*(-7)\/(-30).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 57*c**2 + 33. Let q(k) = 7*k**2 + 4. Let d(m) = -4*a(m) + 33*q(m). Let s(g) = 578 - 578 - 10*g**2. Determine d(s(r)).\nAnswer: 300*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 + 17. Let m = k - 23. Let l = m - -16. What is the greatest common divisor of l and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**2\/9 - 4852*r\/9 + 3232\/3 = 0. Calculate r.\nAnswer: 2, 2424","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -24751, -49491, -74231?\n\"Answer: -24740*u - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45 and 1809?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (0 + 1 + -11 + 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 - 2*d**2 - 2*d**2)*(3 + 2 - 2).\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (422739\/(-455895))\/((27\/30)\/(-3))\nAnswer: 34\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (867\/1836 + (-2)\/9)*(-4 + 20).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12154 and 354?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1415 + 73181*u**2 + 1415 - 73183*u**2.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/21 (b) -1\/12 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 36 - 3?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 3*r + 11, -3*r = r + p + 2. Let i be r + 104*(-2)\/(-9). Let g = i - 22. Put 0.1, g, 1\/5 in increasing order.\nAnswer: 0.1, g, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1\/68 = -3\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 3*v**2 - 2*v + 88998. Let b(y) = 43*y. Calculate b(n(l)).\nAnswer: 129*l**2 - 86*l + 3826914","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 - 5*k**2 - 5*k + 2. Calculate the remainder when 242 is divided by r(-5).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164702225.\nAnswer: 5, 31, 223, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/54336 and -155\/37356.\nAnswer: 597696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 4952?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of g**3\/3 + 11*g**2\/2 + 12*g - 258. Calculate l(-12).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 AM and 5:56 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 248 - 39. Suppose m*t - 210*t + 6 = 0. Calculate the remainder when 329 is divided by t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6 + -3 + 0\/1. Let q(b) = b + 5. Let o be q(-2). What is the second derivative of -2*d**5 - d - w*d**5 + d**3 - d**o wrt d?\nAnswer: -100*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 12*k**2 + k - 12. Let z(i) = 10*i - 8. Let x be z(2). Let d be p(x). Solve d = c + c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 2:32 PM?\nAnswer: 1:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3232382099 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven sixths of a hour?\nAnswer: 70","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-52)*481\/(-666).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8891 + 9047. What is the least common multiple of y and 304?\nAnswer: 11856","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/1125 - 1133\/4500. Let f = 4.866 + 0.134. What is the closest to v in 12, f, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c**2 - 5*c + 4. Let s be 6\/39 + (-80)\/13. Is a(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - (4 + 1)) + 2. Which is smaller: -2\/5 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-160512)\/(-5168) - (1 + (-48)\/51)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 6 = -3*y, 0 = 2*y - y - 3*z - 2. What is the third derivative of r**6 + 33*r**2 - 9*r**6 - 29*r**y + 34*r**2 wrt r?\nAnswer: -960*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 21 - 9 - 68 - 46 - 2*z + 6*z in the form n + i*z and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2704*-0.31887.\nAnswer: -862.22448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 158 - 421?\nAnswer: -263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*s - 0*s + 5*f, -3*f + 9 = 0. Suppose -s*n + 1950673 = -n. Let z = 1126673 - n. Round z to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-2*sqrt(68)*1*4)\/(sqrt(396)\/(-5*sqrt(22)\/sqrt(2))).\nAnswer: -40*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22618 and 5066432.\nAnswer: 5066432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4293\/4 - 1064. Is v at least as big as -2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/45 and -14\/45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 1197 = -5*a, -2*u - 726 = -3*a - 4*u. Calculate the highest common factor of 324 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 5 - 30 = 0. Suppose 2*x - 6 + 5 = y, -25 = -2*y - 5*x. List the prime factors of y*(-90)\/j*3.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 1 - 0) + 3 + -2037 + 2027?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24131\/912 + -591\/19. Let c = p - -237\/16. What is the common denominator of 1 + -1 - (-29)\/10 and c?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 2*x - 65218563 = 10451502, 0 = -3*x + 15. Suppose k + 22701003 = 75*i - 78*i, -5*k = 2*i + h. What is i rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1116 - -1104. What is the third biggest value in m, -6, -0.3, 1\/7?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 567488 divided by 32?\nAnswer: 17734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-51)\/(-68)*(5 + -1). Solve k*y = 15, 6*t - 9 = 5*t - 2*y for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x**2 - 13*x + 35. Let v(u) = -u**3 + 12*u**2 - 27*u + 6. Let n be v(9). Let m be k(n). Solve m = -4*o + 3*j, 6 = -4*o + j - 17 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -71*u**2\/2 + u.\nAnswer: -u*(71*u - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35603*v**2 + 94139*v wrt v.\nAnswer: 71206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78)\/sqrt(3)*-1)\/(2*sqrt(200)))**2*4.\nAnswer: 13\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 31020 = 7305. Suppose -f = -57*y + 52*y. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 10*v**3 - 21*v**2 + 8424*v - 7. Let i(z) = -3*z**3 + 6*z**2 - 2808*z + 2. Determine 7*i(y) + 2*m(y).\nAnswer: -y**3 - 2808*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.045 + -0.955. What is the closest to k in -2\/7, 0, 1\/2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/2))**35*(g**(-13)*g)\/g**10 assuming g is positive.\nAnswer: g**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) - (-2*sqrt(136) - sqrt(136))*6)*4)\/(((-2*sqrt(160))\/sqrt(5))\/sqrt(4)).\nAnswer: -38*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5963 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, -3, 4, -1, 1 in decreasing order.\nAnswer: 4, 1, -1, -3, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -3*b - 129. Let n = b - -61. Is n a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/3*(-6)\/(-9). Let i = -187 - -190. What is the closest to 1 in -0.6, i, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30415880342 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9395\/26774 - -31\/2434. Let -i + 6\/11*d - 2\/11*d**2 = 0. What is d?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 11 (c) -0.1 (d) 1 (e) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45*m + 88*m - 16*m)*(-4 - 2*m + 4).\nAnswer: -234*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -69 - -65. Let k be 7 + (-60)\/(15\/3). What is the closest to -3 in 0, k, -0.1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 PM and 7:50 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -48709553*w**3 - 1037363785*w.\nAnswer: -292257318*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -667646*y - 1335282. Calculate b(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(11) - (4 + sqrt(44)\/sqrt(4) + sqrt(11)))*-1)**2.\nAnswer: 128*sqrt(11) + 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10324 + -272?\nAnswer: -10616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 3*n**3 + 15*n**2 - 15*n + 9. Let v be i(-7). Let a = -178 - v. Solve u = 2*t + 6, 0 = -5*t - 3*u - 13 - a for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1024 and 10.\nAnswer: 5120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 668 divide 36836860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, x: 5, l: 8}. Give prob of sequence il.\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 652527675?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20392.\nAnswer: 2, 2549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 70*w**2 + 294*w?\nAnswer: 140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-18))\/(((-196)\/(-105))\/(-28))?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u + 1. Let n be ((-110)\/15 - -4)*9\/(-6). Let p(z) = 57*z + 17. Let s(o) = n*m(o) + p(o). What is the derivative of s(k) wrt k?\nAnswer: 47","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 + -14. Find the second derivative of -4*k**2 - 4 + 1 + s + 4*k wrt k.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 + 6*c + 2. Suppose -3*b = -0*b - 18. Let k be i(b). Suppose -2*h = -2*j + k*h + 48, -3*h + 41 = 4*j. Does 7 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-1 + 3*(-2*(sqrt(539) + sqrt(539)*2) + 1 + -1 + sqrt(539) + sqrt(539)))*-6*3)**2.\nAnswer: 489888*sqrt(11) + 226331172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (x**3 - x**3 + x**3)*(645 - 468 + 276) + 2*x - x**2 - x**3 + 0*x**3 - x**2 as g*x**3 + n + h*x + d*x**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -149, -227, -319, -425, -545, -679?\nAnswer: -827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 8 = 4*c. Suppose 2 = y + c*a - 1, 0 = -3*y + 4*a + 9. Suppose -8*f + 70 = -y*f. Is 25\/2 not equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 285 + -115. Is 3 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 PM and 4:38 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2062*u**2 + 6128?\nAnswer: -4124*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1124 + -1431420044?\nAnswer: -1431421223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 27 = -823*o + 822*o, 0 = -5*o - 2*g + 27 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -218*t**2 + 42*t + 1. What is h(1)?\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -123110?\nAnswer: 123100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 1278*u + 7660. Calculate h(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 2*a = 96 + 137, a = 4*c - 184. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -191, -391, -593, -797?\nAnswer: -1003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + 37*c**2 + 39*c - 22. Give v(38).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l + 5. Let v be s(4). Let k(o) = -o**3 + 1. Let y be k(0). Let i be 400\/336 + y\/(-3). Is v greater than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 23409\/54 + 3\/6*-3. Suppose h = 10*p - 7*p. Is 72 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10905306?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*j**2 - 209648460*j + 3662706398364300 = 0. What is j?\nAnswer: 34941410","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.338 + 4.662. Which is the nearest to 0.1? (a) -2\/5 (b) n (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89330600 to the power of 1\/2, to the nearest integer?\nAnswer: 9451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -299 or 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - -71?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 21\/5 of a century?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21862592 to the power of 1\/3, to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13119 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 327 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -249007975 not equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-10)*-2*(-245)\/2. Is (-2)\/(-7) - (-160398)\/v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14078209 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/6*-1)\/((-5)\/(-60))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -152 (base 11) to base 14\nAnswer: -ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7975, -3, -0.8448?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - z - 1)*(1 + 2*z - 1) + z**2 - 2*z**2 - 2*z**2 - 5*z**2 + 4*z**2 + 2*z**2)*(-5*z**3 - z**3 + 5*z**3).\nAnswer: 4*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**5\/3 + 68*v**4\/3 + 1078*v**3\/3 + 652*v**2 + 315*v = 0.\nAnswer: -45, -21, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, x: 1, j: 10, c: 2, g: 1}. Give prob of picking 2 c and 1 r.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + -3*5*(sqrt(112) + sqrt(112)*1*-6))**2 + 4)*-4.\nAnswer: -2520080 - 9600*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -17*l - 103. Let x be h(-6). Let u = 0.3 - 0.2. What is the closest to u in 1\/2, x, -3\/7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(102))\/sqrt(2) + ((sqrt(51) - sqrt(459)) + sqrt(51))*4)\/(-2*sqrt(243) + sqrt(192)*-2).\nAnswer: 3*sqrt(17)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ga when two letters picked without replacement from {u: 1, n: 5, p: 3, g: 8, a: 2}.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-333)*2\/32*-12*2.\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 7*r**2 + 42*r - 4. Let x be v(-6). Sort 5, x, 7 in increasing order.\nAnswer: x, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 3\/2, 8, -5, -4\/17?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 2\/11, 1.9, 2, 0.4, -57\/20?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 82283009 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -267, 1\/8, -26.6, -5\/4, 1\/9 in descending order.\nAnswer: 1\/8, 1\/9, -5\/4, -26.6, -267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19575 and 405.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -12 + 9 - (4 - 4 - 6564)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 0*k - 680. Suppose 4*u + 432 = -2*t, -76*u + 75*u = -4*t - 846. Let j = k + t. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*h - 36*h = 0. Let p(n) be the third derivative of 1\/30*n**5 + 0*n**4 + 0*n + 1\/2*n**3 - 2*n**2 + h. What is the first derivative of p(u) wrt u?\nAnswer: 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**4 + 0*t**4 + t**4)*(2 + 3 - 3)*(-4 + 2 + 5)*(-8 + 18 - 28).\nAnswer: 108*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*c - 54 = -71 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 8*l = 1080. Calculate the common denominator of (-41)\/(-2) + (-60)\/l and -11\/56.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41396423 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v - 7*v + 9*v)*(0 - 2 + 3)*(5 - 4 - 2).\nAnswer: -7*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 + 4*a**2 + 3*a - 3. Suppose -3*i - 4*f = -2*f + 7, -3*i + 3*f = 12. Let b be r(i). List the prime factors of (-20)\/6*b*1.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 14 = -a. Suppose 13*c - 72 = a*c. Does 18 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62 (base 15) to base 5.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 193 - 67 = 0. Is 12 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 8:06 AM?\nAnswer: 8:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - 49)\/(6\/9 + -1). Suppose -2*z - b = -459. What are the prime factors of z?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = -426 + 150. Let j = m - -72. Suppose -o + j = -54. What is the remainder when o is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 6647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/(-6)*(212806\/(-2220))\/(-11). Let t = j - -4\/333. Find the common denominator of t and 3\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(126))\/sqrt(7).\nAnswer: -6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 565\/(-226)*(24\/(-5))\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) 2\/7 (c) 8 (d) 842\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -469*v + 690. List the prime factors of m(-5).\nAnswer: 5, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2080, 4163, 6246, 8329, 10412, 12495?\n\"Answer: 2083*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5 + (3 - 4\/2). Let r be (-2)\/(6\/g + 1). Suppose -4*w = -0*w - 5*i, 4*i = 2*w. Solve r*a + l - 15 = w, -4*l + l = 2*a - 15 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -2. Suppose 3*b - 2 - 6 = -2*d, f = -d - 2. Suppose o**3 - b*o**5 + 4*o**3 + o - 5*o**2 + 5*o**4 - 2*o**3 = 0. Calculate o.\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*c**5 + 26*c**2 - 2*c - 7?\nAnswer: -40*c**3 + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -38b (base 16) to base 14.\nAnswer: -48b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -0.01?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4 - -2) + 2 + (2 - 0). Which is greater: d or -19?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68927 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 191850211 to the nearest integer?\nAnswer: 577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a decade in months?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of 2*n**3\/3 - 41*n + 4. Let u(g) be the first derivative of w(g). Let z(v) = -7*v**2. Give u(z(f)).\nAnswer: -28*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -161 and -761?\nAnswer: 122521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*y + 2*y + 0*y)*(y - 6*y + 4*y) - y**2 - 3*y**2 - 10*y**2 + 0*y**2 + 2*y**2 - 5*y**2 as i + o*y**2 + p*y and give o.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -136 - -136. Suppose 5*p + 5*r + 25 = 0, 8 = 3*p + 5*r + 33. Suppose 5*l = -d + 13, -6*l - 7 = -5*l + 5*d. Solve l*v + n + 9 = p for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67589731 is divided by 2816238?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 157 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l + 74 = 80 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 64699933 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 960 = -925*u + 845*u for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44 - 30 + 4*r - 21*r**2 - 17 + 48*r**2 to a*r**2 + h + u*r and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -966, -1096, -1226, -1356, -1486?\n\"Answer: -130*c - 836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -64 + 7 - 4*w + 0*w. Suppose -7*k = -k + 84. Let o be i(k). What is o rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 230, 45, -152, -367, -606, -875?\n\"Answer: -a**3 - 178*a + 409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5865\/4 - 52793\/36. Which is the nearest to -1\/2? (a) o (b) 2\/49 (c) -3 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 s, and 1 w when three letters picked without replacement from wgwxrbsxgwwbssx.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -295 (base 15) to base 10.\nAnswer: -590","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 534 + -863. Let q = u + 328.8. Let p = -17 - -17. Sort 0.08, q, p.\nAnswer: q, p, 0.08","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31831581 by 860313.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 325 and 481507?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*b**3 - 16091*b**4 - b**2 + 14946*b**4 - 2 + 11*b**3 to n*b + q*b**4 + z*b**2 + a + w*b**3 and give q.\nAnswer: -1145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67833 + 13390 - 7657 = 61*r. Calculate the highest common divisor of r and 360.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 12950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, 62496, 4 in decreasing order.\nAnswer: 62496, 29, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 2721 + 34. Let c be (-6)\/21 - (1 - g\/7). Let p be c\/(-30) - (-2)\/(-3). Solve 0 = -p*d - 2*y - 3*y + 8, -3*y = 5*d - 20 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*x**4 - 10*x**4 - 9*x**4 - 2*x**4 + 0*x**4 + 0*x**4 + (-2*x**3 + 5*x**2 - 5*x**2)*(9*x + 11*x - 9*x) as i + k*x + y*x**3 + b*x**2 + f*x**4 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 148190 divided by 146\nAnswer: 1015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -7*h + 9. Let z(t) be the third derivative of -t**5\/30 - 74*t**2. What is n(z(k))?\nAnswer: 14*k**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 3. Let w = 28 - 25. Suppose -w = f + 1. Which is the third smallest value? (a) x (b) f (c) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2544\/7 - -364. Suppose -71*o + 45*o = -63*o + 148. Let 2\/7*i**3 - 2\/7*i**o + 0*i + a*i**2 + 0 = 0. Calculate i.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 5*g = -79, -5*f - 96 = -g - 1. Let s = -9 - f. Does 2 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z*z\/z**(2\/3)))\/z)\/((z*((z*z*z\/(z\/(z*z*z*(z**(5\/2)*z*z)\/z)*z)*z)\/z*z)\/z)\/z*z))**(-1\/47)\/((z\/z**(-1\/2))**(-3\/22))**(-1\/34) assuming z is positive.\nAnswer: z**(42863\/210936)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1502, -6051, -13656, -24335, -38106?\nAnswer: -54987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - -18 - 2) + 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 1037*j**4 - 13 + 1035*j**4 + 16*j**2 = 0. Calculate j.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -9*d + 64. Let f be p(5). Suppose 6*g + f*g = 14425. What are the prime factors of g?\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11108*-14.2.\nAnswer: 157733.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -227*r**2 + 32*r - 85303 with respect to r.\nAnswer: -454*r + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 + 46*a + 211. Determine x(-38).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -7*f. Let k(b) = -b. Give k(d(r)).\nAnswer: 7*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14333981*f**3 + 4967305.\nAnswer: 43001943*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*z + 26 = 42 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*d + 23*d + 32. Is 47 a factor of -3*d\/(-12)*-1076?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 1517 - 1843 = 0. Let a be 5*(p\/(-33))\/(-5). Let x = a - 102. Is -1 bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -7 (b) -533 (c) 5 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of -o**9\/252 + o**7\/210 - 209*o**5\/5 + 757*o**2 - 3*o. Find the third derivative of z(h) wrt h.\nAnswer: -240*h**3 + 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-2))\/(-4)*(-4422)\/201?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7756 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/6? (a) -279 (b) 2315 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -199*p + 87*p - 33*p**3 + 25*p**3 + 51*p + 58*p - 47*p**3.\nAnswer: -55*p**3 - 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (32\/(-3))\/((-18)\/108). Suppose 0 = -j*b + 72*b - 9112. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 7292*y. Let l(m) be the third derivative of m**5\/20 - 7*m**2 + 2*m - 308. Calculate l(d(x)).\nAnswer: 159519792*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -748*u - 3 = -749*u. Suppose -d = -2*d + 4*k - 25, 3*d + 20 = k. Sort d, 5, u in increasing order.\nAnswer: d, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -944*m**4 + 3*m**3 - 12*m**2 + m - 1717641?\nAnswer: -3776*m**3 + 9*m**2 - 24*m + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -14892 - -a?\nAnswer: -14884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36708186?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 AM and 7:44 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2 - 128*c - 732.\nAnswer: -(c + 6)*(c + 122)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 + 30*v**2 - 2*v. Let d(c) = -c**3 + c**2 + c. What is -2*d(t) - u(t)?\nAnswer: t**3 - 32*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s - 2*s + s)*(5*s**4 - 3*s**4 + 3*s**4 + (-s**3 - s**3 + 0*s**3)*(3*s - 6*s + 5*s)).\nAnswer: -2*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1590.\nAnswer: 2, 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/(-4)*(-12)\/15. Suppose 0 = 3*v + d - 897, -s*v - 5*d = -0*v - 611. Is 38 a factor of (-3)\/(-4) - v\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.181, 5, 31\/1110, -2\/17, 4, -1\/3?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 16*q + 419. Give b(-14).\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - 7*w**2 + 2*w - 6. Let h be z(7). Suppose -s - 1 = k, 4*s - h = -k - 0*k. What is the second derivative of -5*p**3 + p + 0*p + 3*p**s wrt p?\nAnswer: -12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -316 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 + 9*u + 15. Let l be r(11). Let i(g) = -68*g - 27. List the prime factors of i(l).\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 15*g - 692. Let b be q(46). Let c be 22\/(-8) + 1 + -2. What is the nearest to c in b, 0, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -20 (b) -0.3 (c) 2\/5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-542)\/3794)\/(2\/(-98))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 263890813, 263890816, 263890819, 263890822?\n\"Answer: 3*l + 263890810","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/3 or 25.2328?\nAnswer: 25.2328","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 - -22. Suppose 4*l + 5*t - k = 0, -2*t - t - 3 = 0. Let f = l - 4. Is f greater than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114*n = -119*n + 3345. Is n 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 12:02 PM and 4:53 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 15*b + 2. Let r(d) = -1139*d - 153. Let f(v) = 153*k(v) + 2*r(v). Let p(a) = -1381390 + 2*a**2 + 1381390. Calculate f(p(i)).\nAnswer: 34*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 5*u + 665, 4*x - 387 - 138 = -3*u. Let t = -137 + x. Let a be (1\/14)\/(-1)*6. Sort -3\/2, a, t.\nAnswer: t, -3\/2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3478233?\nAnswer: 3, 11, 105401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1 + sqrt(208)) - -5*(sqrt(208) + 4)**2 - (-1 + (4 + (sqrt(208) - (1*sqrt(208) - sqrt(208))) - sqrt(208)) + 2 + sqrt(208) + 1)**2.\nAnswer: 132*sqrt(13) + 871","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, s: 12}. Give prob of sequence iis.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 16004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 735\nAnswer: -220.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 12) to base 3\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5689, 11209, 16745, 22297?\n\"Answer: 8*a**2 + 5496*a + 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.00696024 and 167727.3.\nAnswer: 167727.30696024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - -5. Let c = 34 + -24.8. Let o = c - l. What is the biggest value in -3\/2, 1, o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 - 2)*(-42 + 18 + 20)*(4*j - j - 2*j).\nAnswer: -8*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 606 - i**3 - 15*i**2 - 591 - 5*i**2 wrt i.\nAnswer: -3*i**2 - 40*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 89\/2 of a kilogram?\nAnswer: 44500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9\/4? (a) -177 (b) -2 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -58*g + 1123. Give q(18).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 249437860 divided by -4.\nAnswer: -62359465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 114537.9236 to the nearest 10.\nAnswer: 114540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8 + 487714?\nAnswer: 487723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 242 - 242.2. Let v = 1.351 - 1.451. Put 2\/7, -10, v, l in increasing order.\nAnswer: -10, l, v, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 4*x**2 + 2*x + 3. Let d(l) = -l**2. Let s = 8 - 9. Let v(p) = 3*p + 4. Let w(z) = s*v(z) + 5*d(z). Determine 2*w(u) + 3*y(u).\nAnswer: 2*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -3*t**2 + 5 + t + 4*t**2 + t**2. Let j = -6 + 9. Let s(f) = j - 7 + 5. Determine -b(d) + 5*s(d).\nAnswer: -2*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/7)*b)\/(b*(b\/(b*b\/b**6))\/b*b)*b*b*b**(-1\/2)*b**(-3)\/b)\/((b*b*b\/(b*b**1)*b*b)**6*(b**(-1)*b)**(-9)) assuming b is positive.\nAnswer: b**(-359\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1017, 1043, 1081, 1137, 1217, 1327, 1473, 1661?\n\"Answer: v**3 + 19*v + 997","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*f**2*n**2 - f**2 - 4*f*n**2 - 3*n**2 + 2 wrt f.\nAnswer: -4*f*n**2 - 2*f - 4*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475) + -1)**2*-2 - (sqrt(475)*2 + -1)**2.\nAnswer: -2853 + 40*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4102, 8198, 12294, 16390?\n\"Answer: 4096*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kwkonoxnxkxxkdn. What is prob of sequence nk?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 668.\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -4 + j**3 - j**2 + 2*j**2 + 6*j**2 + 2*j - 3*j. Let h be f(-7). What is the common denominator of 82*((-393)\/(-132) - h) and 89\/10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 43*g**3 - 43*g**3 - 3*g**4 + (3 - 3 + 2*g)*(-3*g**3 + 2*g**3 + 2*g**3).\nAnswer: -g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 2827.04g?\nAnswer: 2827040000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -4*q - 5. Suppose q*v - 50 = 10. 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 value of -1*2*134\/938*28\/6?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*1*sqrt(539) - (-3*sqrt(539)*-1)**2)*-6.\nAnswer: -126*sqrt(11) + 29106","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 + 612 = -3*j - p, -2*j - 4*p - 448 = 0. Let a = -111 - j. What is the remainder when a is divided by 31?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1186297 is divided by 697?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -8*c + 70. Calculate the greatest common factor of 63 and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, r: 1, e: 3, u: 5, n: 1}. Give prob of picking 1 n and 1 e.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (20\/30)\/(2\/21). Let k(s) = 7*s**2 - 7*s + 4. Let p(y) = -8*y**2 + 7*y - 4. Let j(a) = w*k(a) + 6*p(a). Suppose 6*l - 2*l - 28 = 0. What is j(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -117 - -133 - (-1 - -7).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (3 + sqrt(52))**2)*3 + 5 + -6*(-2*sqrt(208) + sqrt(208))**2 + sqrt(208) + 3.\nAnswer: -1072 + 40*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11605236 (base 9) to base 2.\nAnswer: -10101101000111001100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*d + 161 = 99*d + 90 - 141 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 12:00 PM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 17316?\nAnswer: 34632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 30367057 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - m + 24, 3*r = m - 13 - 1. What is the lowest common multiple of 3 and 4 + r + 13 - 1?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.8 in -416531, -5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence de when two letters picked without replacement from lmfedud.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1641221639 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 divided by 5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5869 - 5880. What is the nearest to 2 in p, -3\/7, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 - 4)*(-196*h**4 + 138*h**4 - 215*h**4).\nAnswer: 2730*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/16)\/3*52\/949*2.\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 5*x**2 - 2*x + 1. Give y(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6964230*j**2 - 6964991*j**2 + 13929210*j**2.\nAnswer: -11*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide (-38 - -14)\/(2\/(-6))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3826*i - 1696*i - 2566*i.\nAnswer: -8088*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/317792628 and 21\/748.\nAnswer: 3495718908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192*x + 222 + 354 = 0. Let z(l) = -l + 2. Let q be z(-5). Let w(j) = 0*j + 5*j - q*j + x*j. Give w(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*d + 15*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -94, -135, -210, -337, -534, -819, -1210?\nAnswer: -1725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 AM and 2:49 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (29 + -16 + (-33 - (2 - 8)))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 + 6*w**2 + 4*w - 2. Let p be o(-5). Let t(s) = 6 + s**2 + 0*s**2 + p - 4. What are the prime factors of t(-4)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -323\/60 - -21\/4. Let h = -2.1 - -2. Let q = h - -0.3. Which is the smallest value? (a) l (b) 1\/4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -8\/13, 0.061, 1, 46, -1\/6?\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of -3\/2*a**2 + 19 + a + 122\/3*a**3. What is the second derivative of c(m) wrt m?\nAnswer: 244","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of 1\/60*b**5 + b**2 + 0*b - 3\/8*b**4 + 2\/3*b**3 + 0. Determine u(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 m when three letters picked without replacement from {j: 3, m: 4}.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -6. Let r be ((-33)\/q)\/((-6)\/16). Suppose 3*n - l = -0*n + 330, -n + l = -110. What is the highest common divisor of r and n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-5253)\/(-2) - ((-121)\/22 + 3).\nAnswer: 11, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 + 32. Let s be b(0). Suppose 5*i = -5*f + 90, -30 - s = -3*f + i. Is (1 - 16\/f)*5755 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4*d - 82 = -0*k, -5*k = 4*d - 177. What is the common denominator of k and -70\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 3*w + 0*w = 99, 0 = -u - 3*w + 43. Suppose 0*d - u = -2*d. What is the lowest common multiple of d and 20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.3 - 48.04. Let n = 0.74 + u. Let d = n - -40.6. Which is the closest to -0.02? (a) 0.3 (b) d (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1446 = 5*s + 5*a + 96, 554 = 2*s - 5*a. Suppose x - s = -x. Suppose 2*l = -2*l + x. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 0 = -2. Suppose w*t + 17 = 59. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s\/(s\/(s**(-11)\/s))*s**(-25\/4) assuming s is positive.\nAnswer: s**(-69\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*j - 8*j - 4. Let f be 10*j*6\/12. Solve b + 5*t - 2 = -14, 0 = -f*b - 5*t - 20 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 31\/5 of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 641711764 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v + 7. Let a be n(7). Suppose a = -2*r + 6, -2*r + 135 = 2*i + r. Does 6 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 803.35743 + 0.5.\nAnswer: 803.85743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 3*t**2 + 3. Suppose 0 = 41*x + 5*x - 368. Let y(o) = -38*o**2 - 2*o**2 + 8 + 48*o**2 - o**3. What is x*h(j) - 3*y(j)?\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 364\/5 - (-3)\/3. Let n = i + -73. Let a = -89 + 93. What is the nearest to 1\/3 in -1, n, a?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 + 69 = 6*k for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**2 - 10*a**2 + 3*a**2.\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c + 21309 = 59718. List the prime factors of c.\nAnswer: 3, 31, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + z = -32. Suppose -z*n - 4*q + 22 = -2*n, 26 = 2*n + 5*q. Let a(h) = 3*h**3 + h**2 + h + 1. Let p be a(-1). Put 0, n, p in descending order.\nAnswer: n, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.09, 74, -5, 3\/4, 3\/2, -3 in decreasing order.\nAnswer: 74, 3\/2, 3\/4, -0.09, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*g - 36 = 58*g. Let m(l) = -l**3 - 10*l**2 - 10*l - 1. Let k be m(g). Suppose 0 = -t + k - 5. Solve s + t*s + 12 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -0.028 (b) 903 (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(1\/13)\/c*c**(-3\/7)*(c*c\/(c\/(c**(-1\/16)\/c)))\/((c*c\/(c\/(c**(3\/7)\/c)))\/c))**34 assuming c is positive.\nAnswer: c**(3893\/728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f**3 + f**2 - 15*f. Let a(g) = 11*g**3 - 10*g**2 - 60*g - 7745. Let q(s) = a(s) - 4*r(s). Differentiate q(v) with respect to v.\nAnswer: 9*v**2 - 28*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -205 + 205 + 58*f**2 + (2 - 2 - 2*f)*(-5 + 2*f + 0*f + 2) in the form u + x*f**2 + q*f and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*v = -26*v - 30*v + 476 for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 21\/9 + (-2)\/6. Suppose x - 12 = -4*n, 3 = -w*n + 9. Let u = -16 - -11. Put u, x, 2 in decreasing order.\nAnswer: 2, x, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -3*g - 168 - 86, -w = 4. Let a = g - -116. What is a rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-78)*4 + -2 + 2. Let p = -4 + 1. Put p, 10, a in descending order.\nAnswer: 10, a, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 105392?\nAnswer: 31617.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-4)\/t**(-2))**(-7\/8) assuming t is positive.\nAnswer: t**(7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 2*t = 10, -a - 83*t + 18 = -81*t. Solve 0 = s - a*f + 4, -6*f + 11*f = 20 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 254164?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 16. Suppose -2*s = -3*f - 13, -s - 2*f - k = -0*f. Solve 0 = 2*m + s*m - 16 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.3 - -0.3. Suppose 5*d - 3*o = 9, 3*o + 3 = 3*d - 6. Which is the second smallest value? (a) -3 (b) j (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -240 = -10*r - 90 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 plus -753.42?\nAnswer: -752.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/(22\/(-4))*(-1)\/(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 PM and 10:15 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23*s*y**3 - s*y + 551*y**4 - 383*y**2 + 53*y wrt y.\nAnswer: 138*s + 13224*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 3*n - 13. Determine q(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((v + 0*v + v)*(86 + 5 + 153) + v + 0*v + 0*v + 2 - 2 - 2*v + (3 + 0 - 4)*(5*v + 0*v - 4*v))*(v**3 + 3*v**3 - 2*v**3).\nAnswer: 972*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1552781 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 7:04 PM?\nAnswer: 8:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 1 - 2)*(2*p + 0*p + 0*p)*(5 - 2 + 0)*(-2 + 0 + 3 + (-3 + 1 + 4)*(1 - 1 - 2) + 2 + 1 - 1) to u + v*p and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 11 (b) 0.0363 (c) -6 (d) 3 (e) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 776.59 - 780. Let q = j - -3.71. Let a = 0.7 - 0. What is the second smallest value in a, q, -5, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of -i**6\/20 + 5*i**3\/6 - 3*i**2. What is the first derivative of s(z) wrt z?\nAnswer: -18*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -136 by -4.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 377172009?\nAnswer: 3, 23, 31, 53, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - (-63 + 55 + 5 + 1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.9174 - -482.6?\nAnswer: 569.5174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tv when two letters picked without replacement from wvqtn?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 41929 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32 and 5216?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**1)**8*(y**(-2\/13)*y)\/(y\/(y*y\/((y\/(y*y**(-9)))\/y))) assuming y is positive.\nAnswer: y**(128\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1432 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -11*b - 464. Let t(l) = -2*l. Determine k(t(n)).\nAnswer: 22*n - 464","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 361176336 divided by -18888.\nAnswer: -19122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 39 - 51. Let a(s) = -4*s**3 - 2*s**2 + 2*s - 1. Let b(j) = -j**3 - 2*j**2 + 3*j + 1. Let u be b(-3). Let d be a(u). Is v less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -15 (b) -1\/2 (c) 0 (d) 3.53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddd when three letters picked without replacement from {c: 13, d: 6}?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4393062101?\nAnswer: 521, 8431981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1877.0856 - 38023?\nAnswer: -39900.0856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-7) + (-9976)\/28. Let k = y - -559. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 18*z = -19*z - 72, j - 21 = -2*z. Suppose 31*b + j = -16. Sort -4, b, -10, 2 in descending order.\nAnswer: 2, b, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -3*w**3 - w**2 + 4. Does 20 divide q(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by 37.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -3, 37, 3, 1, -5.\nAnswer: -5, -3, 1, 3, 10, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = -40*n - 14 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*(p*p\/((p*p**(-12))\/p*p))\/p*p*p*p**(-3)*(p\/(p\/(p\/(p\/(p*p\/(p*p**2*p)*p))*p)))**9)**(-12\/5) assuming p is positive.\nAnswer: p**(-156\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 14 + 2. Suppose g*n + 2*x = 0, -7*n - 7 = -2*n + x. Let o be -4 - (-9)\/n*-2. Solve 2*u - o*u = -b + 6, 4*b + 4*u + 24 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*y + x = -11*y + 4, -3*x = 5*y - 8 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22527 and 333.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 787893 + -787888. Let m be (-1 + 2 + -1)\/(-2). Let n be ((-6)\/20)\/(6\/(-8)). Sort n, m, 2, r in descending order.\nAnswer: r, 2, n, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 4*l + 36 = -3*b, 2*l + 48 = 2*b. What are the prime factors of b?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 33760?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-8) + (-1004)\/16. Let t be 130\/18 - (-14)\/b. Factor t + 1 - 4*p**2 - 7 - 2*p + 5*p**2.\nAnswer: (p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62791 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 160629.8s?\nAnswer: 160629800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/g**(2\/11)*((g\/(g*g**5))\/g*g)\/g)\/(g**(-1)*g)**(-2\/27) assuming g is positive.\nAnswer: g**(-46\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001010100101001001 + 111011?\nAnswer: 10001010100110000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -709 - 252 + 184 = -33*m - 5*v + 94, 4*v = m - 43 for m.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/60)\/(21\/42).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -96.708 to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 74*p**5 - p**3 - 132*p wrt p.\nAnswer: 1480*p**3 - 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27 + 0. Let c be 10\/(-45) + 6\/a. Solve c = -4*h + 1 + 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8231726?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 3 - (-6 + (-1 - -3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - 2*f**2 - 5*f - 3. Is 3 a factor of j(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18709?\nAnswer: 53, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -12691, -25072, -37455, -49840, -62227, -74616, -87007?\n\"Answer: -y**2 - 12378*y - 312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -121 divided by -2.\nAnswer: 121\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 43, -21, -3, 2 in decreasing order.\nAnswer: 43, 2, 0, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 29 + -22 + (130380 - -3). What is z rounded to the nearest 10000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.14, 2, 0, -1, 1\/9, 1.311 in increasing order.\nAnswer: -1, -0.14, 0, 1\/9, 1.311, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 - s - 3. Let v be f(-3). Let l = 14 - v. Suppose -2*n + 1010 = 5*h - n, -l*n = 2*h - 427. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4836?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.061144 to 4 decimal places.\nAnswer: -0.0611","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 + 18 = -2*v + 3*p, 5*p = 7935*v - 7930*v + 15 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.1, 259, -135, 0.5, 0 in increasing order.\nAnswer: -135, -3, -0.1, 0, 0.5, 259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2604 + 4611. Suppose -b = 5*r + 1473. Let m = -8696 - r. Round m to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13974)\/548)\/(102\/(-240)).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(153) + sqrt(153)*-1))\/(5*sqrt(72)\/sqrt(8)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-44748)\/(-1496))\/3 - 10.\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 28669600*n**2 + n*z**3 + 487*z**3 - 14*z**2 + 7*z + 2 wrt n.\nAnswer: 57339200*n + z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5, -11, -23, -31?\n\"Answer: 2*l**2 - 22*l + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2737798794 a multiple of 2514?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5, 33, 137, 337, 663, 1145?\n\"Answer: 5*z**3 + 3*z**2 - 6*z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -2919169550 to the nearest one million.\nAnswer: -2919000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 439, 382, 311, 220, 103, -46, -233?\n\"Answer: -s**3 - s**2 - 47*s + 488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8939 + 8953. What is the smallest common multiple of a and 24?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.8 * -37\nAnswer: -29.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1516 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -54405 + 54404.9955078. Round l to five decimal places.\nAnswer: -0.00449","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 2.96. Let m = -0.05 + 0.41. Let y = n + m. Which is the third biggest value? (a) 0 (b) 2\/9 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4 = -3*c, 3*i - 6*i = 4*c - 6. Suppose 33 = i*s - 15. Calculate the remainder when 66 is divided by s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**2\/13 + 146764*o\/13 = 0. What is o?\nAnswer: 0, 73382","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/9490 and -97\/1425398?\nAnswer: 7126990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -0.16185, -5?\nAnswer: -0.16185","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/14*(-178)\/(-178).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57834.\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 2*y + 2, 0*p = -p - 3*y - 2. Solve 0 = -i + 2 - p for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*p**2 - 20 - 4*p**2 - 4*p**2 + 13*p**2 to the form j + o*p**2 + w*p and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-64)\/(-20) - 10\/50. Let d(k) be the second derivative of -k**3\/6 - k**2\/2 + k. Give d(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.72 - -0.28. Which is the third biggest value? (a) u (b) -3\/4 (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 5*z + 15 - z)*(11*z**2 - 3*z**2 + 10*z**2) + (6*z**3 + 0*z**3 + 2*z**3)*(-2 + 1 + 2).\nAnswer: -100*z**3 + 54*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27701?\nAnswer: 27701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 29 + 7. Let r = j + 2. Which is smaller: r or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33080 and 1.\nAnswer: 33080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-256)\/288)\/((-3520)\/(-144))\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -36 - 67?\nAnswer: -9d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 + 4*q**2 - 2*q - 1. Let v be p(-4). Let h be v - (3 + -1 + 0). Let f(n) = -9*n + 29. Let i(z) = 4*z - 14. Let k(m) = 3*f(m) + 7*i(m). Give k(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 0.4, -9.8608811, -0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 140\/13*x**2 - 126\/13*x + 36\/13 - 16\/13*x**4 - 40\/13*x**3 + 6\/13*x**5 = 0.\nAnswer: -3, 2\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - z - z**2)*(-469*z + 1600*z + 486*z - 2*z + z + 3*z + 2*z + 0*z + 0*z + 0 + 0 - 2*z + (0*z - 3*z + z)*(0 - 2 + 4)).\nAnswer: -1615*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 0*n - 2*n)*(0 + 3*n + 10*n + 0 + 2*n) - 4*n**2 + 2*n**2 + n**2 + (2 - 2 + n)*(0*n - n + 2*n) + 2*n**2 + 3*n**2 - 4*n**2.\nAnswer: -44*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3326328 (base 9) in base 7?\nAnswer: 21131300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*b*p**3 + 10206*b*p**2 - 914*p**3 wrt p.\nAnswer: 24*b - 5484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + (1 + (4 - 1) - (164 - 154)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002103 to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 16*s**2 + s. Let j(w) = w**2 - 11. Let z(b) = 4*b**2 + 44. Let x(v) = 20*j(v) + 5*z(v). What is f(x(u))?\nAnswer: 25600*u**4 + 40*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 1*(3 + sqrt(304) + -2*sqrt(304))**2 + (2*sqrt(304) + 5)**2 + (-3 + -1 + sqrt(304))**2.\nAnswer: 24*sqrt(19) + 1869","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -42.34 - -42. Let b = h - -0.339986. What is b rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 86 - 86. What is the first derivative of 3207*z**2 + 105 + w*z + z - 7 - 3154*z**2 wrt z?\nAnswer: 106*z + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75316728?\nAnswer: 2, 3, 73, 42989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -8 + 2\/3*b**3 - 8*b + 0*b**2. Let q(y) = 0. What is y?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 72*j + 931 + 5653 + 2488 for j.\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 21\/8 in 2\/7, 0.06, 1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*x - 619*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 22891\nAnswer: -22896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 AM and 5:40 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 61922 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 26.52 and 2.\nAnswer: 28.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 smaller than -27\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4515 + -4519. Which is the biggest value? (a) v (b) -9 (c) -3.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of -35*y**4\/12 - 7*y + 34. Let m = -37 + 45. Let q(c) = -m - 2*c + 8 + 4*c. Give d(q(g)).\nAnswer: -140*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of -7\/9*j**3 + 7\/30*j**5 - 1\/9*j**4 - 3*j + 2\/3*j**2 + 0. Factor n(w).\nAnswer: 2*(w - 1)*(w + 1)*(7*w - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -43 - -88. Let h = -45.352 + s. What is h rounded to two decimal places?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 368 is divided by 89.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of -u**3\/6 - u**2\/2 - u. Suppose -2*g + g = -11. What is the remainder when g is divided by q(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 + j - 2. Let x be h(3). Let o = x - 6. Solve 0 = -4*f + 3*f + o for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3\/3 - 1360*y**2 - 924800*y - 628864000\/3.\nAnswer: -2*(y + 680)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 + 520625*o - 520625*o - 32 + o**3 - 2*o**3.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50557 is divided by 12638?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10477 is divided by 2471?\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 8 = 4*f. Let a(p) = -p**3 - p**2 + 3*p + 6. Let n be a(f). Put -4, 2, n in descending order.\nAnswer: n, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*p - 8620 = 3180. Is 4 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00009892606 to seven decimal places.\nAnswer: -0.0000989","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19.5 + 20. What is the third smallest value in 100, 1, 2, j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*j**2*s**2*x**3 + 44*j**2*s*x + 49*j*s**3*x**3 + 2*s**3*x**2 + s*x**2 wrt x?\nAnswer: 12*j**2*s**2 + 294*j*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h - 1. Let q be x(-1). Let k(j) = -2*j + 5*j + q*j - 6. Give k(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 114 + -34. Suppose 6*l - 4*l = -w. Let q = 65 + l. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000055529 to 7 dps.\nAnswer: 0.0000056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 - 95*d - 64*d + 136*d + 17.\nAnswer: -23*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 PM and 2:54 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 32 (b) -5 (c) 2\/11 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + h + 22 = -23, 3*h = -3. Let q = 4 + 4. Calculate the remainder when g is divided by q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.87 + 0.13. Let p = 166 - 181. Which is greater: p or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + d - 24680003 = 2*d, 24679985 = 4*r + 5*d. What is r rounded to the nearest 100000?\nAnswer: 6200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2005?\nAnswer: 5, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 47007 and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -317*q - 309*q - 273 + 273 as j*q + v and give j.\nAnswer: -626","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(171) + 5*2*sqrt(171))\/(sqrt(1089) - sqrt(1089)*2 - sqrt(1089)) - ((-5 + 2*sqrt(1900))**2 - (sqrt(1900) + 2 + sqrt(1900) + 1)**2)).\nAnswer: -13 + 639*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1071\/35 + (-2)\/(-5). Let l = -32 + h. Suppose 3*d = -3*y - d - 22, -5*d - 10 = -5*y. Put l, -8, y in increasing order.\nAnswer: -8, y, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*d - 78 = 36*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -46728*t**5 - 2*t**4 - 2*t**3 - 8767*t - 2 wrt t.\nAnswer: -934560*t**3 - 24*t**2 - 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 9, 6, -7, -36, -87, -166, -279?\n\"Answer: -d**3 + d**2 + d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 5*q + 26 = 0, 3*q - 5*q + 8 = 0. Suppose 0 = s*l - 28. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 3*v - 2*v - 4 - 2*v + 0*v. Let q be x(-4). Suppose q*i = -4*i + 4*a + 48, -3*i + 1 = 4*a. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34 and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 7}. What is prob of sequence vvvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of -f**8\/560 - 7*f**4\/12 - f**3 - 5*f. Let k(h) be the second derivative of b(h). Differentiate k(d) with respect to d.\nAnswer: -12*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7.257222 millilitres?\nAnswer: 0.007257222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4438.\nAnswer: 2, 7, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6 - 5) + (67 - 2). Which is smaller: q or 423\/8?\nAnswer: 423\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -3. Suppose 1 = v*t - 7. Let m be 1*(-9)\/((-9)\/t). Solve -3*o + o + 4*g - m = 0, 3*o + g = -3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 0. Suppose 0 = -2*u - 3 + 31. Let d be (u\/5 + -2)\/2. Which is the third biggest value? (a) s (b) d (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 6*j + 3. Let f(p) = 86*p - 13. Calculate -3*f(z) - 15*q(z).\nAnswer: -348*z - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -1\/6, -1, 2\/5, 0.19, -3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6836469 is divided by 28?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of n**5\/10 - n**4\/2 + 5*n**3\/6 + 9*n**2\/2 - 36*n. What is the units digit of p(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 16*p**2. Let w(u) = -2*u**2 + 3*u + 16. Let o(v) = v**2 - v - 1. Let x(h) = 3*o(h) + w(h). Let g(d) be the first derivative of x(d). What is g(k(t))?\nAnswer: 32*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 - b + 1. Let w(m) = -7*m**2 + 9*m - 10. Let y(p) = -6*t(p) - w(p). Let i be y(7). Factor 0*q**2 - 27 - 14*q + i*q - 3*q**2.\nAnswer: -3*(q - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 9*w - 6*w = -19, 0 = o + 4*w + 16. Solve -5*n = -7*n + o for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 191664 and 191703 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, f: 1, z: 4, b: 2}. What is prob of picking 1 b and 1 e?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-66)\/(-198))\/((-3)\/(-63)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6256 - 2625. What are the prime factors of z?\nAnswer: 3631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - t = -188, 4*i - 2*t + 77 = 219. Calculate the remainder when i is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2*sqrt(144)\/sqrt(3) - (2 + sqrt(48) + -2)).\nAnswer: -48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 3. Let o be 174\/(-290) - (8\/(-12) + 3\/(-9)). Let f = -4.3 - -4. Which is the nearest to o? (a) -1 (b) f (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u\/(u*u**(-36)))\/u*u\/(u**(-9\/4)\/u)*u*(u\/(u\/(u*u*u*u**(-1\/5))))**(-2\/9) assuming u is positive.\nAnswer: u**(7493\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -0.15513\nAnswer: -0.84487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -872*v - 1602*v - 1875*v - 407599 + 81424 for v.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -79 - -83. What is the closest to -4 in p, 8\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 4*f + 10*f**2 - 9*f**2 - 13*f + 4. Let i be r(9). Solve -i*q + 5 = q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -3*h**3\/5 - 6*h**2\/5 + 63*h\/5 - 54\/5 = 0.\nAnswer: -6, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 208\/78 + (-2)\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 30, 2\/3, 7220, -0.04, 4, 3, 0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 - 112 = -7*a. What is the highest common divisor of a and 846?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -52*(3 + 3 - 12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/13, -44, 701?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -5*g - 9. Let p be u(-12). Let l be (-1 + p\/(-15))*5. Is -22 >= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21100*k + 76 = -21081*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 500684.6 micrograms?\nAnswer: 0.0000005006846","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136288 is divided by 309?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2170 - 2150 = -15*n. Calculate the smallest common multiple of n and 84.\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of n**5\/20 + n**3\/6 - 4*n**2 - 4*n. Let c = -2 - -2. Let x be c*(-2 - 6\/(-4)). What is q(x)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -859*j**5 - 826*j**2 - 1.\nAnswer: -51540*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (166 - 183) + -9 + -22 + 1 + 3\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -588 at most -588?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6484820?\nAnswer: 2, 5, 17, 19073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1, 5, -1\/3, -1011?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4647910.47 and 187736.\nAnswer: 4835646.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 7 + 18. Suppose 4*h = 2*u - 20, 0 = 4*u - 5*h - 51 + 17. Calculate the lowest common multiple of x and u.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 631*o + 7649*o + 2782*o in the form m*o + a and give m.\nAnswer: 11062","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -182068, -364136, -546204, -728272?\n\"Answer: -182068*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 46543, 46565, 46595, 46633?\n\"Answer: 4*f**2 + 10*f + 46529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 2*d + 15. Let g(j) = -j**3 - 8*j**2 + 8*j + 6. Let v be g(-9). Suppose 18*p - v*p = -6. Put d, p, -1 in decreasing order.\nAnswer: d, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*y - 153 + 177 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 9*a**2 + 92*a - 52. Let n(j) = 4*j**2 + 43*j - 25. Give 13*n(t) - 6*q(t).\nAnswer: -2*t**2 + 7*t - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.12 (b) 0 (c) 2181.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00483485353 rounded to 4 decimal places?\nAnswer: -0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 68 - 69.18. Let g = 0.017 - 0.577. Let j = t + g. Round j to one decimal place.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + 8 + 12. Let x = 15 - 10. Suppose x*z = m + 14, -2*m + 2*z = -m + 8. Which is smaller: m or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = s + 2*z, z - 10 = 2*s - 2*z for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (6368\/1990)\/((-28)\/210)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/54 and 44\/90371781?\nAnswer: 180743562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/108)\/(((-15)\/50)\/(4\/(-15)))?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*(0 - 5 + 0)*(-1520*o + 1717*o + 1960*o).\nAnswer: -10785*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7004.382 - 7016. What is h rounded to the nearest integer?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -81 less than 910860.362403?\nAnswer: 910941.362403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, d: 2, n: 11, w: 1, r: 3}. What is prob of sequence dwd?\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -109.082617 rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 281018 a multiple of 297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 20899 + 13929. Suppose 3*s + 2*p = 8699, 2*s - d = -s - 4*p. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*l + 7. Suppose -s + 3 = v - 2, -s = -5*v + 7. Let x = v + 0. Calculate the remainder when l is divided by x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2091\/490 - -31\/49. Find the common denominator of -101\/758 and i.\nAnswer: 3790","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q - 4*q = -3*l + 3, -3*l - 12 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 6*q**2 - 5*q - 5. Let g(l) be the first derivative of -l**3 + 3*l**2\/2 + 3*l + 1. Let p(w) = 5*g(w) + 3*o(w). Let v(i) = -2*i**2. Calculate p(v(s)).\nAnswer: 12*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r\/(r**7*r)))\/((r**(2\/9)*r)\/r))\/(r**(-2\/5))**19)**(21\/4) assuming r is positive.\nAnswer: r**(1211\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hnpvpvphhvhrnv. Give prob of sequence nv.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6297 + -2684. Suppose 2*f + q = -4*h + 82239, -4*h = -5*f - 78661. Let j = -13159 + h. What is j rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + 3*w**2. Let j be n(3). Suppose -3*r + 598 + 151 = 4*h, j = 2*r + 2. What are the prime factors of h?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 15, p: 3, u: 2}. What is prob of sequence bup?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -280*g**3 - g**2 + 2*g + 2. Let k be f(-1). Suppose -5*y - 89 = -k. Suppose y = d - 32. Is d a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2979582 or -2979580?\nAnswer: -2979582","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 630 and 10890?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/6 and 31\/1431?\nAnswer: 2862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30*v - 22 - 108 - 32*v)*((v - 3 + 3)*(3 + 0 - 1) + 0*v + 5*v - v).\nAnswer: -12*v**2 - 780*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 29, -9, 5, 2, 1?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + -3 + -3 - -11?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 523999 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4 from 309160809.\nAnswer: 309160813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 12 = -7*d + 2*d, 0 = -4*b + 4. Suppose -6 = 3*j, 0*q - 444 = -4*q - d*j. Does 8 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(98)*-3 + sqrt(98).\nAnswer: -14*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {n: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.451 less than -4?\nAnswer: -33.451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/429648 and 35\/666.\nAnswer: 47690928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -6. Let d be -12371*(-4 - k)\/2. Let x = d - 247339\/20. What is the common denominator of x and 91\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -581847\/407 + 81\/814. Let t = h + 77081\/54. Find the common denominator of t and -127\/6.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6*2\/3 + (-4 - 0). Let a be (55\/(-33))\/(f\/672). Calculate the greatest common divisor of 20 and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(14)\/(sqrt(2) + sqrt(18) + sqrt(2)) - (sqrt(7) + 1 + -5)**2) + -1*((sqrt(1764)*-3 - sqrt(1764)) + sqrt(1764))\/sqrt(7).\nAnswer: -22 + 131*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -236 + 239. Let l = 322.1 - 266. Let i = l + -56. Which is the nearest to i? (a) -4\/7 (b) 0 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - y. Suppose q - 5*q + 72 = m, y = q - m - 23. Suppose 2*v = -v - 2*d + q, 4*v + 5*d = 37. Solve -l + v = 5 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98617.92nm to centimeters.\nAnswer: 0.009861792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -60 divided by 30\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -79 or -78239?\nAnswer: -79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (628\/(-202216))\/((-1)\/28).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 22. Let p be 0 - 7\/(c\/4). Solve 2*g + 8 + p = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s + 5. Let r be i(-4). Let f(o) = -1. Let n(h) = -2*h - 5. Let a(c) = -c. Let z(x) = 2*a(x) - 2*n(x). What is r*z(y) + 10*f(y)?\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 h when three letters picked without replacement from hyyosyooohpospspohh?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2814813 is divided by 2814793.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31.9 + 36.9. What is the closest to -0.4 in 6, t, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42068 and 2678.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 PM and 11:16 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5*(-4)\/((-12)\/27). Let z be 3\/12 + j\/12. Determine c so that -c**5 - 2*c**z + c**3 + c**2 + 0*c**2 + c**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 5*k**2 + 71890*k + 258408605 = 0.\nAnswer: -7189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2222221110 (base 3) to base 4\nAnswer: -32121333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -101.7 * 0.08\nAnswer: -8.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 75\/(-20) - 2413\/(-684). Which is the smallest value? (a) -2 (b) l (c) -95\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 - 4*j - 19. What is p(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1605040 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6364000 and -0.3.\nAnswer: 1909200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 3*r**2 - 360*r - 40688. Determine c(191).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(6*5\/(-10) - -2). Sort k, -7, 5, -3 in descending order.\nAnswer: 5, k, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 PM and 8:07 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/(-4))\/(1\/(-4)). Suppose -2*p - 7 = 3, -p = 4*g + 1. Let d be -1*(3 + 0 + -3). Put z, d, g in descending order.\nAnswer: g, d, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*(8824\/192 + -46).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -8.268 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9225 - -12b?\nAnswer: 9354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of -j**4\/2 - 2*j**3 - j**2\/2 - 4*j - 231. Suppose -1 + 16 = -5*f, -2*u = 5*f + 7. Let x(m) = m**2 - m + 1. Give u*x(c) + o(c).\nAnswer: -2*c**3 - 2*c**2 - 5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jw when two letters picked without replacement from {w: 5, i: 5, l: 2, j: 6, p: 1}?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*h = -0*h - 2*h - 91176. Calculate the least common multiple of h and 4847.\nAnswer: 38776","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3010706?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 142 = 874. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3a (base 11) in base 15?\nAnswer: 2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8*(3 - 10\/(-8)). Let y = -19 + q. Solve -2*g + 5*g = -y for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/(-3))\/(-2) + 532\/114. Let w(t) be the first derivative of 0*t**5 + 3\/7*t**2 + 1\/21*t**6 + 4\/21*t**3 + l - 2\/7*t**4 - 4\/7*t. Factor w(s).\nAnswer: 2*(s - 1)**3*(s + 1)*(s + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 42 - ((5 - 1) + -2). Let r be (-1)\/(-4) + 110\/o. Solve 2*z + r*q - 9 = 0, -4*q = 3*z + 1 - 14 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -12*p + 99. Let s be t(8). Solve 6 = s*z - 5*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 15 = -7*i + 2*i, -2*i + j + 3 = 0. Which is the second biggest value? (a) i (b) 0.5 (c) -2\/9 (d) 0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvzzeueezeuezwzvz. Give prob of sequence uuz.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10336619.00069 + 10336736. Let b = 117 - u. What is b rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of -8*k**7\/21 + 134*k**6\/15 - 47*k**5\/5 - 16*k**4\/3 - 5347*k - 2. Let d(c) = 0. What is c?\nAnswer: -1\/4, 0, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 2:48 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 391, 783, 1179, 1579, 1983, 2391?\nAnswer: 2803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 (base 10) in base 4?\nAnswer: 13323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2596*j + 2592*j - 57 = -5*f, 5*j - 8*f = -87 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49615, 48551, 47487?\nAnswer: 46423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -y + 2, y + 6 = x + 4. Suppose 2 = -x*p + 4*q - q, -3*p + 3*q = 0. Let c(f) = 3*f - f**2 - 3*f + 3*f**p. Let w(j) = j**2. Determine w(c(a)).\nAnswer: 4*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -56*t - 330. Is s(-122) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 5 = -v - 15, 0 = -5*v. Let x be (-72)\/(-16) - (-3)\/6. Find the third derivative of -22*z**6 + 83*z**4 - 83*z**f + x*z**2 wrt z.\nAnswer: -2640*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h = 2*h - 684. Suppose 0 = -6*i + i - 190. Let d = h + i. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b + 2*b - b + (b - 3*b + 4*b)*(-2 - 2 + 2) + 417*b - 1021*b + 511*b.\nAnswer: -94*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -435\/26 - -35\/2. Let i = -13620\/13 + 1048. Factor 6\/13*b**2 + i - 2\/13*b**4 - 2\/13*b**3 + k*b.\nAnswer: -2*(b - 2)*(b + 1)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*l - 288*l = -31*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -4*q**2 - 1045*q - 18408. Give c(-19).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/4 + 0 - -94. What is the highest common factor of 31 and l?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = -5*j - 2*w - 17, 626 = 2*j + 3*w + 612 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*u**3 - 4*u**2 + 4*u**2 + 96*u**3.\nAnswer: -10*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -3*l + 28. Let w be h(9). Let t be w\/(-2)*(4 + 2 + -6). Put 5, t, -2 in descending order.\nAnswer: 5, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16491 and 33?\nAnswer: 181401","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 464890898 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4407334, -8814663, -13221990, -17629315, -22036638?\n\"Answer: k**2 - 4407332*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62635466?\nAnswer: 2, 79, 396427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 128665 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5368 - -7010. What is the remainder when a is divided by 53?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 - -258. Does 36 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of -3*r**5\/20 + 3*r**4 + r**3\/2 - 18*r**2 + 16*r + 3. Solve n(i) = 0.\nAnswer: -1, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5028d1 (base 14) to base 11\nAnswer: -15818a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -h + 2*h. Let g(x) = -6*x - 3 + 13*x + 2*x**h - 3*x**2. Let p be g(5). Calculate the highest common factor of 35 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 67, -102994, 2 in increasing order.\nAnswer: -102994, -5, 2, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -107, 2, 13, 3\/2, 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b\/(b**(3\/7)*b)*b\/b**(3\/11)*b*(b*b**0)**(-4) assuming b is positive.\nAnswer: b**(-131\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 846, 852, 870, 906, 966, 1056, 1182?\n\"Answer: h**3 - h + 846","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*f - 3*b, -f + 5 = 2*f + 5*b. Suppose -4*m = f*u - 1480, 0*u + 3*u = 5*m + 925. Suppose u - 62 = 2*o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*-3433\nAnswer: 13732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/2*1\/5. Let j = -4.09 - -4. Let t = -0.19 - j. Which is the nearest to t? (a) g (b) -0.5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2\/23, -0.03, 2?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2 - 83*x + 267.\nAnswer: -(x - 3)*(2*x + 89)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -4207 and -2\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.338 and -2.\nAnswer: 0.676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/9*(-150)\/8. Let z = 13 - t. Let u = 1093.1 + -1093. What is the closest to u in -1, z, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13120401010 (base 5) to base 13.\nAnswer: 347883c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h + 2. Let m(w) = w**2 - 1. Let j = 2 - -1. Suppose 4*y + 3*f = -8, 0*f = -y + j*f + 13. Let u be (-40)\/(-30)*3\/2. What is u*m(a) + y*i(a)?\nAnswer: 2*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -36, -2, 4, -14 in ascending order.\nAnswer: -36, -14, -2, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -38 - 25. Let n = -64 - t. Is n not equal to 36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/((-32)\/(-20)) + 219. Let l = y + -107. Does 13 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**2\/4 - 412115*p\/2 - 2060450.\nAnswer: -5*(p + 10)*(p + 164836)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + 2 - 5\/2. Let i = -97\/3 - -32. What is the closest to i in u, -4\/3, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 - -20. Suppose -4*x + 4*f - 3 = -11, -5*x = -3*f - m. Let d(g) = 7 + x*g + 0*g + 3*g - 2*g + g**3. Give d(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*i**2 - 47 + 47)*(29 - 9 + 5)*(-2*i**2 + 2*i - 2*i).\nAnswer: 300*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from nhhnaanhnnngnnqnnnh?\nAnswer: 55\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = 2*s + 17, -40341*f + 5*s = -40277*f - 212 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 179 and 172041017.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -426 and 5.\nAnswer: -2130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1302 + 10423?\nAnswer: 4121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 50\/1969 and -17\/599.\nAnswer: 1179431","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 20*b - 23*b - 328, -169 = -s - b. What is the remainder when s is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 25419?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b + 1c?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v - 1. Let j(d) = d. Let l(p) = -4*j(p) + k(p). Suppose u - 4*h = 1, 5*u + 4*h - 21 = 8*h. Let x(s) = 4*s + 2. What is u*l(b) + 2*x(b)?\nAnswer: -2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22817 is divided by 76.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 80 = 5*u, u - 21*m + 19*m = -10. Suppose -4*w - 4 - 4 = 0. Let c be ((-5)\/(-5))\/(w\/u). What is the greatest common factor of 5 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-8)\/10)\/(2\/(-15)). Suppose 5*m = 5*c - 35, -c - c - 3*m = x. Calculate the least common multiple of c and 25.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x**5\/2 - 873*x**4 + 51392*x**3 + 873*x**2 - 102785*x\/2 = 0. Calculate x.\nAnswer: -1, 0, 1, 61, 1685","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30710556*l**5 + 2463*l + 4661 wrt l.\nAnswer: 614211120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/5 + 24*m**2\/5 - 626*m\/5 - 552.\nAnswer: 2*(m - 15)*(m + 4)*(m + 23)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5740 (base 13) in base 14?\nAnswer: -464c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -136599 + 136599.0000055207. What is c rounded to 7 dps?\nAnswer: 0.0000055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**4 - o**4 + 3*o**4)*(-7*o + 6*o - 9*o + 2) + 215*o**5 - 381*o**2 + 381*o**2.\nAnswer: 205*o**5 + 2*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8640805363 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 30999271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*d**3*o**2*q + 13348589*d**2*q + 1171*o**2*q - 2*o**2 - 2*o*q + 299*o + 2*q - 1 wrt d?\nAnswer: 24*d**2*o**2*q + 26697178*d*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4674 minus -0.1?\nAnswer: -4673.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwtwtwtw. Give prob of picking 2 w.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 9) to base 7.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - o = -321. Suppose 5*x - 2*w - o = 0, -x + 5*w + 5 + 21 = 0. Let r be (-15)\/(x\/(-12) - -1). Solve 2*z + 2*z = r for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of -2*d**3\/3 + 8. Let a(m) be the first derivative of -m**3 - 1. What is a(t(r))?\nAnswer: -12*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7277, 7309, 7339, 7367, 7393, 7417?\nAnswer: 7439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (7 + -1)) + (-1 - -8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1685873603 a multiple of 1085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 225.916 - 226. Let k = l + 3.474. Round k to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1823*253.\nAnswer: -46.1219","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.09 + 0.09. Let p = 68.5 - 68.1. Suppose -3*f + f = -6. Which is the nearest to p? (a) o (b) -3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7180 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8\/2382051 - 11357505745\/2382051. Let o = y - -4767. Calculate the common denominator of o and 53\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 4*z**3 - 45*z**2 - 3*z + 238. Let u(w) = -11*w**3 + 134*w**2 + 8*w - 715. Let f(j) = 3*u(j) + 8*y(j). Find the first derivative of f(a) wrt a.\nAnswer: -3*a**2 + 84*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 119750?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 144 = 43*o - h - 865, 5*h = -o - 8 for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 10 + 3 = 4*m, -3*w + 4*m = -27. Suppose 5*n = w*f + 149005, -f + 4*f = -5*n + 148997. Round n to the nearest one thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 1 = 3*o. Determine f, given that -4 - 2*f**2 + 3 + o + 4*f = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.02 - 1.11. Let z = w + -0.41. Let g = -0.9 + 1.3. Sort g, 3, z in descending order.\nAnswer: 3, z, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91161 is divided by 125?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**3 - g + g)*(1 + 3 + 7)*(276*g - 28*g - 137*g).\nAnswer: -3663*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**2 + 415*r + 2200.\nAnswer: -5*(r - 88)*(r + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2048 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1690*p**3 - 1898*p**2 + 672*p - 72.\nAnswer: 2*(5*p - 1)*(13*p - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -754 - 747 - 749 + k**3 + 2867 - 617.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence krpk when four letters picked without replacement from rxrkqhhxkrprrrr?\nAnswer: 1\/2340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 16791017, 33582029, 50373041, 67164053?\n\"Answer: 16791012*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1931.964ug?\nAnswer: 0.000001931964","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1376 and 72555964?\nAnswer: 580447712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 18 = -3*u. Let m(i) = 28*i - 39*i + 3 + 10*i + i**2 - 5*i**3 + 4*i**3 - 4*i**2. Let g(n) = -n**3 - 3*n**2 + 2. Give u*g(q) - 2*m(q).\nAnswer: -q**3 - 3*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168*b = 3*o + 5025, 42*o - 38*o - 110 = -3*b for b.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-14))\/((-145)\/290)*63?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/513 or 150\/7?\nAnswer: 150\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 187*b - b**3 - 187*b + 16 in the form v*b + k + i*b**2 + j*b**3 and give k.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/7791825 and 19\/40517490?\nAnswer: 202587450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405) + -4 + sqrt(405)*-2)*2 - 5*(-4 + sqrt(245)*3))**2.\nAnswer: -2952*sqrt(5) + 75789","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101013 - -32?\nAnswer: 101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127975 + 133768 = -4171*s - 26056 for s.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from frfr. What is prob of sequence frf?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47645 = 2*t - 5*a - 47663, -a = 2*t - 6 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-5)*(-2660)\/3724?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 - 5. Suppose -g*q = -11*q + 2. Put q, 4, -2\/11 in ascending order.\nAnswer: q, -2\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 11*t**2 - 37*t**3 + 16*t + 4 + 36*t**3 - 11 - 18. Let c be a(12). Suppose 0 = 2*f - 6*f + 1012. What is the greatest common factor of c and f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-6))\/((180\/(-6))\/2)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/248 in 2, 4\/7, 4?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 20, -4.\nAnswer: -5, -4, 2, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-920)\/168 + 5)*9\/(-5)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 969499260?\nAnswer: 2, 3, 5, 1795369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (46\/(-16))\/((-2580)\/(-20640))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 - 8*u - 2. Calculate v(-9).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/1825254 and -109\/846?\nAnswer: 85786938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + (5 - 0) + 27. Suppose 3*i + f = 2*h, 75 = -0*h + 5*h - 5*i. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -114 and 4.\nAnswer: -456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2443 is divided by 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -7. Find the second derivative of -3*k**2 - 5*k + t*k + 4*k wrt k.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/((x\/(x\/(x\/x**(-12))))\/x)))**(4\/3)*x*x\/x**19*x*x*x*x**10*x*x assuming x is positive.\nAnswer: x**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 868 = 4*w, -1089 = -38*w + 33*w - 4*u. What is the remainder when 371 is divided by w?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 2*m + 80 = 0, -12*k + 7*k = -m - 94. Solve -7*w - k = -w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 + 3*f + 2. Let y be j(-7). Let v = 30 - y. Suppose 45*i - 49*i + 8 = v. Solve -3 - 3 = i*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h + 0*h - 2*h**5 + (h**2 + 0*h**2 - 3*h**2)*(4*h**3 - h**3 - h**3) - 4*h + 2*h**5 + 4*h + (-h**3 - 10*h + 10*h)*(-766 + 28*h**2 + 766).\nAnswer: -32*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8*49\/52920)\/(-6*(-7)\/84)?\nAnswer: -2\/135","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of -9\/2*g**2 + 3 + 1\/3*g**3 - 14*g. Is y(12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 1 = 4*d - 8, -5*u + 15 = 5*d. Suppose -41 = -3*v + 4*y, 2*v - 3*y - 5 = 23. Suppose d = -5*s + v. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -6*r + 42. Suppose 13*o = 11*o - r. Is o greater than or equal to 6\/41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*l - 52440 = -52*l. Is 7 a factor of (4 - l\/16)*-8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 377 and 12934.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14838238 is divided by 93?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -0.2, -0.1, 3\/8, 0.7, 69\/7, -0.022?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -2*m + 7 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: Suppose -6*s = -2*s - 8. Suppose 0 = 3*a + 2*a + 20, -5 = -3*c + s*a. Let i(p) = -7*p**3 - p**2 + p + 1. Calculate the least common multiple of 12 and i(c).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.9 (b) -3\/5 (c) -48\/19 (d) 4 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.033932 rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5174362*o*r - 31217360*r with respect to o.\nAnswer: 5174362*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 68.\nAnswer: -3\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 768?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 17631479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -95915\/18 + 5332. What is the common denominator of 24\/(-8) + (-207)\/(-60)*1 and y?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 5694?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.479 - -0.079. Let j be (-114)\/(-27) + 4\/(-18). What is the nearest to j in 0.2, a, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 7*q**3 + 4*q**2 + 6*q. Let x(f) = -20*f**3 - 11*f**2 - 17*f. Let b(i) = 17*n(i) + 6*x(i). Let b(j) = 0. Calculate j.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p + 54 = -4*q - 38, -396 = 2*q + 4*p - 440 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r = -149 - 41. Suppose 234 = 5*s + 44. Calculate the highest common divisor of s and r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135914 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -76 + -4cd?\nAnswer: -565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 37, 5, 4, -4, -2, -353 in increasing order.\nAnswer: -353, -4, -2, 1, 4, 5, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -7, -1, 3, 2.\nAnswer: -7, -1, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 148416*v - 1038917. Determine h(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 124666 * -15.\nAnswer: -1869990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - p + 1 - 3*p + 2*p + 2*p + (5 - 1 - 2)*(24*p + 32*p - 59*p) in the form k + t*p and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1010101001000 (base 2) to base 16\nAnswer: -1548","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 6\/31 (b) 128 (c) -8 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 158*l + 28 - 17.\nAnswer: 158*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3\/8, -2\/41, -1, -5 in ascending order.\nAnswer: -5, -1, -3\/8, -2\/41, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/13 (b) 0.09 (c) 3 (d) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 + 8*o - 56. Let p be i(-13). Calculate the highest common divisor of 243 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 165*i**2 + 3*i. Let l(q) = -4*q. What is g(l(h))?\nAnswer: 2640*h**2 - 12*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 20409993871 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 201659484.\nAnswer: 2, 3, 13, 41, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 184085494799 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 78649597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 3*y - 56, -f = -y - 3*f + 24. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 67147 and 2656?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*b**3 + 131*b**3 - 71*b**3.\nAnswer: -10*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -12017172 less than 247?\nAnswer: 12017419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2692 is divided by 49.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hlhllllylhlhll. Give prob of sequence hhyl.\nAnswer: 9\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 2\/5, 11, 0.5, -0.5 in ascending order.\nAnswer: -0.5, -2\/9, 2\/5, 0.5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4622 divided by 4.\nAnswer: -2311\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 158159, 158145, 158131?\n\"Answer: -14*b + 158173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-6*(1*sqrt(637)*3*4 - (sqrt(208)\/sqrt(4) - (5*(-1 + sqrt(13)) + sqrt(13)))))**2.\nAnswer: -126720*sqrt(13) + 14500368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 + 255*r - r**2 - 255*r + (2 - 4 + 4)*(-r + 2*r**2 + r) in the form d + u*r**2 + x*r and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mna when three letters picked without replacement from {n: 1, v: 2, m: 4, z: 3, p: 1, a: 1}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 r, 1 s, and 1 m when four letters picked without replacement from {t: 1, m: 2, s: 7, k: 1, x: 2, r: 2}.\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.15174 - 0.3.\nAnswer: -0.45174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d + 777*d**2 + 3*d - 6*d + 136*d**2.\nAnswer: 913*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = i + y - 8, 20 = 2*i - 3*y. Suppose -i = -3*c + 14. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(32) + -1 + (sqrt(2) - (-1*sqrt(20))\/sqrt(10)))*-5.\nAnswer: -30*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -81 + 84. Let r = -36 - -35.6. Which is the second biggest value? (a) 1\/7 (b) q (c) -0.6 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 + 6*v - 10. Let b be m(-7). What are the prime factors of -3 - (2*b + -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -f - 714. Let j be ((f + -3)*-3)\/((-3)\/(-750)). What is j rounded to the nearest 10000?\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -2*x - 78 + 227, -a - 4*x = -155. What is the remainder when a is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2644.622 to the nearest integer.\nAnswer: -2645","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 104, 418, 942, 1676, 2620?\nAnswer: 3774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*v = 56*v + 2*m + 38, 3*v + 142 = -28*m for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4109746 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1234.\nAnswer: 2, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 44 + -21. Let c = b + 24. Suppose -v - 5*l + 1 = 0, 4*v + v = 2*l + 86. Calculate the remainder when c is divided by v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**3 + 3 - 3)*(2 - 2 + 4*t + (-4*t + 4*t - t)*(4 - 1 - 2))*(-1 + 1 + 1).\nAnswer: -3*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 138*i - 100*i - 98*i)*(-1 + 1 + 2*i).\nAnswer: -120*i**2 + 12*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 0.4 (b) -4 (c) 0.1 (d) 164.6 (e) -2\/5 (f) -21 (g) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1930 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28734 divided by 14367.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -74, -3390\/11, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4138\/15 - 276. What is the third smallest value in 5, 3\/2, z, -1?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**2\/3 - 2444*m - 361600\/3 = 0. Calculate m.\nAnswer: -3616, -50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/96*(-21)\/(-5796)*69?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 23*h**2 + h - 2. What is the remainder when 63 is divided by j(1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = n + 21, 2*x + 0*x + 14 = -4*n. Put 5, 1\/2, n in ascending order.\nAnswer: n, 1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**2 - x**4 + 188 - 188)*(0 - 1 + 3).\nAnswer: -2*x**4 - 4*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g + 9. Let d = -29 + 25. Let n be (d + 7)*(-10)\/(-6). Determine o(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.3 - -0.1. What is the closest to 2 in s, -4, 1\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aabbabbb. Give prob of sequence abba.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 119161135 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -92526626 smaller than -92526629?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1605 and 2910.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.55903 rounded to one decimal place?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**2 - 2 + 1 + 3 + 3*s**2 + s**2 - 2*s**2 - 2*s**2 + 3*s**2 + s**2 + (-1 + 1 - 2*s)*(-s - 5*s + 4*s) - 3 + 2*s**2 + 3)*(3 + 11 + 1)*(-2*s - 2*s - s).\nAnswer: -600*s**3 - 150*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 4*p - 1. Let r be m(1). Solve -y = q - 2*y - 3, q = 4*y - r for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -14 and 58.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6653*c*k + 27551*k wrt c.\nAnswer: 6653*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 251 - -1bb?\nAnswer: 42c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0031220708 rounded to 5 decimal places?\nAnswer: -0.00312","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (2 + -5 - -2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7841?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x - 5. Let t(m) = -3*m + 75 + 0*m - 69. Let v(p) = 7*p**3 + p**2 + p + 1. Let z be v(-1). Give z*y(n) - 5*t(n).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1105193*l**3 - 583856 wrt l.\nAnswer: 3315579*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1103.3 + 1103. What is the closest to 4 in -1, 1\/26, c?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 49, 91, 161, 259, 385?\n\"Answer: 14*h**2 + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, v: 4, g: 1, u: 5, t: 3, k: 6}. Give prob of picking 1 v and 1 s.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y - 1. Let z(c) = 2*c. Let f be z(3). Let n be r(f). Suppose -64 = -n*i + 91. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + -42 + 38 - 0?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 394*t**5 - t - 76.\nAnswer: 7880*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 94 - -24b6a?\nAnswer: 25042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Convert -10101101111101111111110 (base 2) to base 7.\nAnswer: -66311562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 70, -2, -0.03, -2\/11, -3\/4?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 - 13*m**2 + 17*m + 35. Let c be g(-14). Which is smaller: -2\/25 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, w: 1, t: 1, h: 1, d: 1}. Give prob of sequence ph.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 5*r = -3*z - 15, -12 = 4*r. Suppose -5*w + n = 429 - 71, -w + 4*n - 64 = z. Let q = -13 - w. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 662, 679, 696?\n\"Answer: 17*h + 645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -1 - (2 + 8 + -7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 3) to base 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*j - 4*j - 3*j - 2*j + 0*j + 4*j + (-4*j + 3*j + 0*j)*(0 - 2 + 0) + 2*j - 2*j - 2*j - 2*j + 4 - 4 as o*j + l and give o.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 PM and 12:46 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 2*l - 4*f - 48 = 0, -3*l + f + 33 = 0. Suppose -4*y - 96 = l. Let a = y - -40. List the prime factors of a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1277206, 2554421, 3831636?\n\"Answer: 1277215*i - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 37*k + 136. What is i(-7)?\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (684\/(-608))\/((-6)\/(-8))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zizinzinzzziiznzn. What is prob of picking 1 z and 3 n?\nAnswer: 8\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1261118 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -137 + 228. Does 22 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3675054 and 4900072?\nAnswer: 14700216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5611 + -5603. Solve -i = -u - 2 + m, 14 = 3*u - 2*i for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*t - 31*t + 18. Let a(z) = -2*z. Calculate a(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -4*c + 7*c. Let z = -14 + c. Suppose -t + 3 + 1 = z. Solve -2*k + 7*k = j - 10, -2*j + t = -2*k for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -16*m + 15036. Let o(x) = -7*x + 1. Calculate d(r) - 2*o(r).\nAnswer: -2*r + 15034","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of -1\/15*p**6 + 1\/6*p**4 + 0*p**7 + 0*p**5 + 0*p**3 + 0 + 0*p + 5*p**2 + 1\/84*p**8. Find j, given that y(j) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 3*s**2. Let m(x) = 7*x. Let c(u) be the second derivative of u**3\/2 + 3*u. Let k(r) = -10*c(r) + 4*m(r). What is k(a(v))?\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1877347*s - 938719*s - 938632*s.\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -8d3d (base 14) to base 15\nAnswer: -7420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9403815?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -3*2*(4*-2*sqrt(275) + sqrt(275)*-1 + 4))**2.\nAnswer: -14040*sqrt(11) + 802576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1121 - 66.\nAnswer: -65.8879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 84119 divided by -61\nAnswer: -1379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of y**3\/3 - 13*y + 3. Let v(l) = -242*l. Determine q(v(b)).\nAnswer: -484*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162*h = -8*h + 616. Let c(b) = -5. Let d(x) = -1. Let g(p) = -2*c(p) + 9*d(p). Let o(z) = z + 3. Calculate h*g(a) + 2*o(a).\nAnswer: 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 81 and 3220506.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 107*b + 11114. Give i(-103).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 16905572, 33811144, 50716716, 67622288, 84527860?\n\"Answer: 16905572*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 276708.\nAnswer: 2, 3, 23059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 230.44 + -1010.4?\nAnswer: -779.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 PM and 5:21 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -202571027*a**2 - 206152588*a wrt a.\nAnswer: -405142054","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one tenth of a kilogram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -23440240 divided by 2344024\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -45884112*f**6 + f**2 + 50806397*f wrt f.\nAnswer: -5506093440*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 16 + 2*n**2 + 0*n**2 - 14*n - 14 - 3*n**2. Let o = 18 + -26. Calculate the remainder when i(o) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 12*y + 29. Let q(w) = -w + 1. Let x(r) = -3*b(r) - 21*q(r). What is the least common multiple of x(-12) and 24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*k - 28 - 12*k - 4.\nAnswer: 3*k - 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 4, -2\/5, 2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 44 - 39. Suppose -170 = -y*w + 4*n + 47, -2*n + 139 = 3*w. Suppose 6 = 3*b - w. List the prime factors of b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001765847 rounded to 7 dps?\nAnswer: -0.0001766","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**3)\/f**(3\/2))\/(f**(2\/11)\/(f*f**(-3)*f*f)) assuming f is positive.\nAnswer: f**(51\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 q when two letters picked without replacement from {s: 1, q: 3, d: 5, o: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 + 14)\/(-2*(-2)\/16). Let y be ((-2)\/(-8) - l\/(-16)) + 2. Sort 2, 1, y in increasing order.\nAnswer: 1, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3834\/5093 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d**5*z - 5*d**5 + 12*d**3 + d*z - 2*d + 9 wrt d.\nAnswer: -40*d**3*z - 100*d**3 + 72*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of g**4\/6 - 205*g. Let n(t) = 3*t - 3*t - 2*t**2. What is p(n(w))?\nAnswer: 8*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.55 - -1.715. What is g rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(t\/t**(1\/2)*t)\/t)\/t**7 assuming t is positive.\nAnswer: t**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -137*y + 45*y + 91*y. Let c(t) = -70*t**2 + 2*t + 13. Determine b(c(m)).\nAnswer: 70*m**2 - 2*m - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 4 + 0)*(-3*j + 2*j - 2*j)*(-1 - 1 - 4)*(-437 + 258 + 256) as u*j + f and give u.\nAnswer: 2772","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14152 is divided by 4187.\nAnswer: 1591","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 102353*w**5 - 2108*w**2 + 1135*w + 3905 wrt w?\nAnswer: 2047060*w**3 - 4216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/6*6\/(-63)*-77.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - 2*q**2 + 4*q - 1. Let n(b) = b**2 + b - 2. Let m be n(-2). Suppose m = 3*x - 3, -2 = y - 4*x - 0. Suppose 1 = -y*z + 7. Determine a(z).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 328247239 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -77*f**2. Let n(p) be the second derivative of -p**4\/6 + p - 98. What is n(g(r))?\nAnswer: -11858*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 286 divide 4991558?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2041 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, -2\/5, 3, -2\/625, -7\/8 in ascending order.\nAnswer: -5, -7\/8, -2\/5, -2\/625, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 6*u - 7 = 0. What is the third derivative of -6*a**5 + u*a**2 + a**5 + 6*a**5 - 5*a**5 wrt a?\nAnswer: -240*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -781 = -3*r + 4*w, 4*r - 329 - 687 = -w. What is the smallest common multiple of r and 3?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhhhuhhhfsh. What is prob of picking 1 h and 1 s?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -57 + 57. Suppose g = 7 - 4. Solve w = -0*p - g*p - 6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33409.\nAnswer: 33409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + 32)\/((3 - 2)\/1). Suppose -w + a + 24 = 0. List the prime factors of w.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + 63\/3)\/(-1). Let w = p + 33. Suppose 6*n - w = n. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7.297 + -7.197. Which is the nearest to -0.85? (a) -17 (b) -1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -92410, 4, 7, -0.3, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (10 - 0) + (-5 - 0)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 11 + ((-2)\/3)\/((-14)\/(-84)). Let x be -1 + 1 - 1*-7. Does x = l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v. Let i be o(-10). Let s(k) = -1 + 5*k - 3*k - 3*k - i. Give s(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005823526662 rounded to six decimal places?\nAnswer: 0.005824","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/48)\/(26348\/(-8469)).\nAnswer: 3\/64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1218 and 11479338.\nAnswer: 2330305614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-385)\/(-140))\/((-19)\/(-76))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1547 (base 8) to base 10\nAnswer: 871","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1075 is divided by 77?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -37*k - 17. Does 23 divide a(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 44*p - 1706. Let x be n(38). Which is the biggest value? (a) -4\/5 (b) -1\/7 (c) -5 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14700365?\nAnswer: 5, 2940073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -49*m - 79. Let o(c) = 41*c + 78. Let v(h) = -5*n(h) - 6*o(h). Let p(a) = -2*a**2. Calculate v(p(y)).\nAnswer: 2*y**2 - 73","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15\/8 in 0.1, -41\/8, -2\/13, -5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -11607992 not equal to -11608066?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 4*j**3 + 2*j**2 - 2. Let l(w) = w - 6. Let v be l(9). Let m(o) = o**2 - 3 - 48*o**3 + 49*o**v + 2. Determine 2*a(g) - 4*m(g).\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**4 - 28*t**4 - 11*t**4)*(-1 - 1 + 0).\nAnswer: 80*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 - k**2 - 3*k + 62. Suppose 0 = -4*i - x - 4, -x + 2 - 6 = 0. Calculate the remainder when s(i) is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 8*t**3 - 1084*t**2 + 36448*t + 18496 = 0.\nAnswer: -1\/2, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2. Let p = 39 - 37. Let m(y) = -135*y**2 + 72*y**2 + 65*y**p. What is 10*f(q) - 4*m(q)?\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-814.\nAnswer: 81.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) -1\/276 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102932 is divided by 11194?\nAnswer: 2186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 439*g = 1609 - 3365 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 5) to base 3.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*x - z + 8 = 4*x, -5*x + 10 + 4 = 5*z + 44 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 9*o**2 - 7*o - 229. Is x(32) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -4*w**3 + 176*w**2 + w + 6. Suppose -2*h + 6 = -26. What is the remainder when l(44) is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 124*-128\nAnswer: -15872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -33. Let l = -29 + n. Let r = l - -1.3. What is the nearest to 2\/3 in -1, r, -1\/2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z - 600. Let p be a(0). Let i be (1 - 2)\/(8\/p). Suppose -2*y + 5*y = i. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -5*p**2. Let j(s) = s**2 + s**2 - s**2. Calculate j(l(u)).\nAnswer: 25*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**2 - 563475*c + 7889630.\nAnswer: -5*(c - 14)*(c + 112709)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5382\/847 - 9\/121. Suppose -2*m + 5464 = -6490. Let l = 53732\/9 - m. Calculate the common denominator of l and g.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ya when two letters picked without replacement from {a: 14, y: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 + 2*t + 19. Let z be c(4). What is the greatest common factor of z and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0 and 0.0571?\nAnswer: 0.0571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4739 - 1102. Is 8 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -2. Let k be (-9)\/45 + (-786)\/(-20). Let t = -39 + k. Which is the biggest value? (a) -4 (b) 0 (c) x (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h**2. Let n(o) = 3*o - 18. Let u(v) = 1. Let w be 10\/12 + (-1)\/(-6). Let j(x) = w*n(x) + 18*u(x). Determine r(j(c)).\nAnswer: -18*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 91 and -39*(3 - -6 - (-1674)\/(-81))?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/10 and 3\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 5*o - 16. Calculate k(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2070 = -2*n - 3*r, 0*n - n + 2*r = -1014. Calculate the highest common divisor of n and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50 and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2261)\/(-595) - (-1 + 4\/5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97135253 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - 89*h**2 - 1598*h - 81. Give o(-65).\nAnswer: 2389","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t. Let o(w) = -3 - w**2 + 0*w**2 + 2 + 2. Let n(i) = -10*i**2 + 11. Let g(r) = 2*n(r) - 22*o(r). Determine l(g(c)).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -187.9, -1\/4, 1\/8, 0.01194, -1 in decreasing order.\nAnswer: 1\/8, 0.01194, -1\/4, -1, -187.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 PM and 3:33 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 0*r = 3*r + 18, -6*r - 32 = 4*s. What is the third smallest value in 2.3, 0.02, s?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1680, 3362, 5044, 6726, 8408?\n\"Answer: 1682*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 2 = -g - 2, 0 = -5*w - 5*g - 20. Let i(q) = -q**2 + 14*q + 65. Let m be i(19). Let u be 10*(-16)\/m*(-90)\/(-40). Solve w*o + 3*o = u for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1860? (a) 5 (b) 13\/3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 3)*(37287*y + 2*y**2 + 1 - 18644*y - 18630*y).\nAnswer: 2*y**2 + 13*y + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 10 + 40. Suppose 3*y - u = 50. Solve 0*k + y = -5*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of r**5\/360 + 19*r**4\/24 + 361*r**3\/4 + 116*r**2. Determine i so that n(i) = 0.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 195281410?\nAnswer: 2, 5, 19528141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of -d**3\/3 + 2*d. Let c(f) = 62*f. Let v(x) = 25*x. Let q(g) = -5*c(g) + 12*v(g). Determine q(i(u)).\nAnswer: 20*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 11616, 11618, 11620?\n\"Answer: 2*q + 11614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/7))**(15\/8)\/((z**(-2\/11)\/z)\/(z*(z\/(z*z**(-7)*z*z))\/z*z)) assuming z is positive.\nAnswer: z**(2047\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1613.192 tonnes to nanograms.\nAnswer: 1613192000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of -s**5\/90 - 35*s**4\/6 - 1225*s**3 - 3487*s**2. Solve d(t) = 0 for t.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 76 - 68. Calculate the least common multiple of 4 and 4\/k*-4 - -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**0\/s*s)\/s**3)\/(s*s**(-8\/7)*(s\/(s\/((s\/(s*s**(2\/33)))\/s)))\/s) assuming s is positive.\nAnswer: s**(-184\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25 + 39. Let o(c) be the second derivative of -c**5\/20 - c**3\/2 + 2*c**2 - c. What is the remainder when o(-3) is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1927163617?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a day in seconds?\nAnswer: 75600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, 0.0503, 6, 4 in decreasing order.\nAnswer: 29, 6, 4, 0.0503","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - 24*h**2 + 219*h - 745. Determine j(14).\nAnswer: 361","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*k + k**3 + 115 + 258 + 2*k**2 - 292 to g*k**2 + h*k + q*k**3 + i and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5627 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 1013*v**2 - 3034*v + 7. Give x(3).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01450556264 rounded to six dps?\nAnswer: -0.014506","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 3994*z - 131755. What is g(33)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -40*j**3 + 16*j - 20. Let m(f) = -9*f + 2. Let l be m(2). Let y(w) = -w**3 + w - 1. Let n(d) = l*y(d) + p(d). What is the derivative of n(s) wrt s?\nAnswer: -72*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of 13\/15*n**3 + 4\/5*n + 3 + 1\/25*n**5 + 3\/10*n**4 + 6\/5*n**2. Find o such that v(o) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*k**2 + 20*k**2 + 15*k**2 - 48*k**2.\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 + -21. Suppose o = -2*c + 5*g - 30 + 95, 2*g + 10 = 0. Suppose -14*z - 126 = -c*z. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - o = -16, -4*k = 2*o + 2*o - 16. Solve -2*z - 5 = -a + 4, -5*a = -k*z - 21 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from omoh. What is prob of picking 2 o?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 5, -1068\/5, -234?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107043282?\nAnswer: 2, 3, 719, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*i - 20 = -9*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 1)*(-3*a**5 + 2*a**5 - 3*a**5) + 3*a**5 - 2*a**5 + a**5.\nAnswer: -6*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + -42.9295639647.\nAnswer: -42.9295639647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2, 3\/19, 1\/3, 0, 4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3366 and 78166?\nAnswer: 703494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -32740*d**3*p - 2*d**3 - 2*d**2*p - 2*d**2 - 19*d*p + 5*d - p - 558 wrt d.\nAnswer: -196440*d*p - 12*d - 4*p - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -332 = 10*x - 852. Calculate the greatest common divisor of 52 and x.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000154642 to 7 decimal places.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*y + 13 = 16*y. Put 2, y, -4, -2 in descending order.\nAnswer: 2, y, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p - 91 + 7 = 0. Let s(g) = g**2 + 6*g + 7. What is s(p)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -27*(1 + -3)\/(6\/3). Suppose -i - 2*i = 5*m - 9012, 5*m = 4*i + 8984. Suppose f*d = 24*d + m. What is d rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a1c06 - 0?\nAnswer: -a1c06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 + 16*a**2 - 16*a + 2. Let c be (2 + 7)*3\/(-3)*1. Is d(c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*(13\/4)\/((-2)\/8). Suppose 0 = -0*a + l*a - 26. Solve 4 = f + a for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 4*a**3 + 3*a**2 - 4*a**2 - 4*a**3 - a + 5*a**3. Is q(2) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 + 8*h - 263. What is c(0)?\nAnswer: -263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from qiyyqqriq.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163 is divided by 48?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137*d**2 + 2947 - 2947 - 58*d**2.\nAnswer: 79*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -128 + 124. Let g be 76\/144 + (-2)\/(-9). What is the nearest to a in -3\/8, 0.4, g?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -66?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -11, -941, -4, 1095 in ascending order.\nAnswer: -941, -11, -4, 0, 1095","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17)*-3 - sqrt(17))*-1*-3.\nAnswer: -12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + l = 5, 3*m = -l + 3*l - 10 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4 or 366?\nAnswer: 366","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 905.3*-32.1\nAnswer: -29060.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*p = -16*p + 383 - 127 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24460, -97044, -218014, -387370, -605112, -871240?\nAnswer: -1185754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 2*x**5 - 468*x**4 + 35032*x**3 - 718308*x**2 - 8778618*x - 21257640 = 0.\nAnswer: -5, -4, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10445*c**2 - 3*c**3 + 11*c**3 + 5262*c**2 + 5228*c**2.\nAnswer: 8*c**3 + 45*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-3192)\/400 - -8)*116 and -73\/32.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*p - 7*p - 177 = -276 for p.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3 + 3*x + 12*x**2 - 7*x - 13*x**2.\nAnswer: -(x + 1)*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 102144 and 252.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 337 - 336. Solve -4*n + 5*q + 16 = 0, 2*n = -q - 5 - i for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/8 + (-2)\/9. Let f be 8*(-3)\/6*-1. Which is the nearest to 0? (a) 2\/5 (b) z (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 + 9*w + 12. Let g be t(-11). Let l = -33 + g. Let n = l - -32. Calculate the greatest common divisor of n and 363.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*p - 4*p + 2*h + 5, 0 = -p + 3*h + 16. Let w = 33 + -32. Suppose -3*n - 3 = 0, 2*m + 4*n = 3 - w. Put -2, 2, m, p in descending order.\nAnswer: m, 2, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of -d**6\/280 + 13*d**5\/140 + 29*d**4\/56 + 15*d**3\/14 - 254*d**2. Find l, given that y(l) = 0.\nAnswer: -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2349*t + 26516 = -27685 - 63249 for t.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 AM and 2:46 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 3*i + 7 = -4*i, 0 = 3*i - 3 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(57)\/(2*sqrt(3)) - sqrt(19))**2 - (sqrt(19) + sqrt(76)\/(2*sqrt(4)))) + 1.\nAnswer: -3*sqrt(19)\/2 + 23\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3051, 6076, 9067, 12006, 14875?\n\"Answer: -3*k**3 + k**2 + 3043*k + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 1 + ((-5*(sqrt(85) + sqrt(85) + (sqrt(85) - -3*sqrt(85))) + sqrt(85) - sqrt(85))\/(sqrt(10)\/(sqrt(14)\/sqrt(7))))**2.\nAnswer: 15299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30033 (base 5) to base 11.\nAnswer: 1471","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 22399996.\nAnswer: 44799992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 + 0.2. Let l = -3 - -2.7. Let f = 120861\/422989 - 1\/60427. What is the nearest to -1\/4 in l, i, f?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**2 + 500290870*m + 12514547730267845.\nAnswer: 5*(m + 50029087)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 3 - 2)*(3 + 2 - 2) + 6 - 3 - 4)*(7 - 7 - 4*h).\nAnswer: -20*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3569465870 to the power of 1\/3, to the nearest integer?\nAnswer: 1528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 14\/505?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -25 + -34 - 40.\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fjr when three letters picked without replacement from {r: 1, f: 1, b: 1, x: 1, j: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 2 d when four letters picked without replacement from {i: 12, d: 6}.\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3686 - 3046 = 2*p. What is the greatest common factor of 2640 and p?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 13 = s. Let h = s - -24. What are the prime factors of h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001796482 rounded to five dps?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1664798923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3213329, -6426668, -9640007, -12853346, -16066685?\n\"Answer: -3213339*h + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18384480 rounded to the nearest 1000000?\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 36 (base 8) to base 4\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, d: 1, l: 4, e: 1, k: 4, a: 3}. Give prob of sequence ldl.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -151*h. Let b(l) = 56173*l. Calculate 4*b(r) + 1490*n(r).\nAnswer: -298*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 - 72*a**2 - 273*a + 7926. Determine u(-66).\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-25)\/(-12))\/((-4)\/6) and 36\/14 + (-15)\/7 + 2.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.049 + 2.951. What is the nearest to -2 in t, -3, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*r - 77 - 187. Let s = 73 + r. Suppose -s*b = -24*b - 15. Is b a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 207330\nAnswer: -1\/103665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o + 3*o - 3*o)*(2*o - 30 + 35 - 3*o).\nAnswer: 3*o**2 - 15*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150*i + 900 = 160*i. Calculate the greatest common factor of i and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*u, c + u + 1 - 4 = 0. Suppose 3*j - c*q - 2703 = 0, -3*q = 5 - 14. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 - 6*u. Let a be t(-6). Suppose -4*h + v - 3 = -14, a = 3*h + 3*v - 12. Solve -y = h*p - 20, -p = p + y - 15 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45 + 11 - -7) + (-5 + -2 - (31 + -45))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1203 - -3?\nAnswer: 1211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o + r - 1 - 21, -4*o - 26 = -3*r for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*u + 2189584 - 2189584.\nAnswer: 29*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -7813, -62431, -210683, -499387, -975361?\n\"Answer: -7803*p**3 + p**2 - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3237?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 637 is divided by 161.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -121567 greater than -123108?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 274, 493, 712?\n\"Answer: 219*x + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 16 + -1 + -3 - (-1 - 13)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 37369*m - 386. Is h(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 74913 or 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -7. Let n(g) = -3 - 17*g + 9*g + h*g. Let t be n(-2). Calculate the highest common divisor of t and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1100) - sqrt(1100))*-3*5.\nAnswer: -150*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 741254811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*b + 0 - 1)*(5 - 1 - 5)*(129 - 7*b**2 - 129) + (3*b**2 - 6*b**2 + 2*b**2)*(0*b - 2*b + 4*b).\nAnswer: -16*b**3 + 7*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -772 - -4637\/6. Suppose 0 = -2*r + 4*f - 6, -r - 4*f = f - 4. Let m be (-4)\/r - 0\/1. Which is the second biggest value? (a) 2\/3 (b) m (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000249259681 rounded to 7 decimal places?\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**5 - 5*b + 5*b)*(66 - 13 + 54).\nAnswer: -214*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 12*z**2 - 50*z + 117. Give s(5).\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23037 is divided by 1599.\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 7:00 PM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 + -12.5. Let u = x + 5. Round u to 0 decimal places.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2. Let q(x) = -60*x. Determine q(k(t)).\nAnswer: -60*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1873, 3770, 5669, 7570, 9473?\n\"Answer: u**2 + 1894*u - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 643.\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1 + (-3*sqrt(2793) - sqrt(2793) - sqrt(2793))\/(sqrt(3) - sqrt(15)\/sqrt(320))).\nAnswer: -5 + 200*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.2 - 1.54. Let q = y + -2.66. Put q, 2\/11, -5 in decreasing order.\nAnswer: 2\/11, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 43.1 + -47. Let t = l - -2.2. Let h = 1.7 + t. Do h and -19 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10547, -10710, -10873, -11036, -11199, -11362?\nAnswer: -11525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 3*w + 266. Suppose -4*h = -3*l + w, -3*l - 152 = 4*h - 37. Let r = -18 - h. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*c - 427*c + 10737 + 1501 for c.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 8 + -5 + 3\/(-4).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -25*k + 31 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*v - 4*v - v)*(-1 - 2 + 4) - 2*v + 0*v + v)*(0*v + 2*v - 3*v).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 4*d = 2*b - 10, -5 = 3*b + 2*d. Which is bigger: b or -1\/12?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1263 + 4516. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -5*r**2 - 5*r + 23. Let p be c(4). Let x = 46 + -120. Let h = p - x. Let g(z) = z**2 + 3*z - 4. Determine g(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t + 2*t + t - t + t + t - 6*t + 3*t + 4*t + (-4*t + 6*t - 4*t)*(-3 - 2 + 3) + t - 3*t + t - 2 - 224*t - 187*t + 17*t.\nAnswer: -387*t - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -3*z**3 + 337*z**2 - 1410*z + 663. What is t(108)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 532 + -16427?\nAnswer: -15675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-9000)\/(-192))\/25)\/((-10)\/(-4))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 273460801.\nAnswer: 701, 390101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0293 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/7*((-8)\/(-4))\/(-4)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33 + 53. Let h be 2594997\/(-15) - 4\/p. Round h to the nearest 10000.\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -1199 - 2*g**3 + 106*g**2 + 575 + 624 = 0?\nAnswer: 0, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**4 + 16135*o**3 - 10783158*o**2 + 85490528*o - 170464480 = 0. What is o?\nAnswer: -16778, 4, 635","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 112 and 9656976.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 6 + 12 = 0. Let g = 0.23 - 0.2. Let l = g - 1.03. Which is the biggest value? (a) u (b) -2\/3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -2 (c) 0.05 (d) 113 (e) -2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-6))\/(a*a**(2\/9)) assuming a is positive.\nAnswer: a**(52\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 5*h - 3*h)*(-990 + 3*h + 990).\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*f - 2*f - f)*(-7*f + 0 - 9 + 10) as q*f**2 + v + p*f and give q.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 + 48*p + 207. What is t(-65)?\nAnswer: 1312","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v - v + v - v + 4. Let u be 4 + -2 + 4 + -2. Let p(q) = q + 3. Let k(o) = u*p(o) - 3*f(o). Let j(r) = -2*r. Determine j(k(c)).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 5*n + 5, 2*n + 10 = 4*h - 0*n. Calculate the lowest common multiple of (6\/(-4))\/((-391)\/68 - -5) and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**1)\/w*w)**9\/(w*(w*w**(2\/25))\/w*w*(w**0*w)\/w)*(w**9*w\/(w*w\/w**(2\/5)))**9 assuming w is positive.\nAnswer: w**(1838\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/54 and 109\/102.\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 + 3*w**2 + w - 2. Let d be h(-3). Let k(r) be the third derivative of -r**4\/6 - r**3\/6 - 13*r**2. What is the tens digit of k(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5677 - -5681. Put 2, 2\/179, -12, y in increasing order.\nAnswer: -12, 2\/179, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.6 and 1549530.03746.\nAnswer: 1549529.43746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (4 + (-244)\/36).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-51)\/(-476))\/((-10)\/(-14) - 1).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2903918, 5807859, 8711800?\n\"Answer: 2903941*c - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.07597 centimeters in nanometers?\nAnswer: 380759700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - -1) + 8\/(-84). Let w be (-6)\/9*2\/(-4). Which is the second smallest value? (a) u (b) 0.4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(-2*sqrt(75)) + -3.\nAnswer: -3 - sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 PM and 5:49 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 3657 = 3*o, 3*o = -2*v + 2*o - 2447. Let w = -751 - v. Is w 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 {o: 6, h: 6}. What is prob of picking 3 h and 1 o?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12.5 + 12. What is the second biggest value in m, 7, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 653428 a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + 8*k**2 - k + 11. Let f be m(8). What is the second derivative of 13*v + 2*v**f - 5*v**3 - 19*v + 10*v**3 wrt v?\nAnswer: 42*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u + 8. Suppose 0 = -3*x + 10 + 8. Let h be a(x). Suppose -2*k + 2 = s - 2, h*k = 3*s - 36. What is the highest common divisor of s and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2811904?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3174 and 92?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.0254 in -0.5, -5, -2, 256, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jqdjqjjjjdj. What is prob of sequence djd?\nAnswer: 7\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/5, -2\/15, 6, 7, -19?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-14) - (-38)\/(-798)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 10. Put x, 0, -5 in increasing order.\nAnswer: -5, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -2*o - 2*o - 8, -2*k + 2*o = -14. Let r be k\/(-10) - (-282)\/5. Suppose 12 = -d + r. What is the greatest common factor of 4 and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 7 - 9 + d**2 + 4*d + 4 to the form v + z*d + m*d**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73 + (-34 - 10) + -118.\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m - 1. Let c(q) = 4*q - 2 - 2 + 3. Let k be ((-8)\/(-7))\/4*7. Suppose 5*g - k*a = -0*a + 9, -4*g + 2*a = -6. Give g*v(u) - c(u).\nAnswer: -u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11b7 (base 13) to base 3.\nAnswer: 10110012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2431783*0.5\nAnswer: -1215891.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s**2 - 4*s - 9. Give p(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29 + -111. Is -82 at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 0. Is -1 + s - (-8)\/((-16)\/(-354)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 33*f + 445 + 577. What is the third smallest value in 5, 0, f, -5, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 244048 divided by -61012.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-57)\/475*4\/6*-1.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 AM and 6:19 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1285, -2614, -3943, -5272, -6601?\nAnswer: -7930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b**3 - 6*b**3 + 187016*b - 187026*b.\nAnswer: -5*b**3 - 10*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, -138 in decreasing order.\nAnswer: 3, -4, -138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1429001?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -445.923138 - 0.106862. Let r = 446 + u. Is -0.26 less than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 512.05\nAnswer: 256.025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n - 11. Let z be -3 + 10 + (-2 - -2). Let b be p(z). Let t = 6 - b. Is 5 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 + 22*a - 39. What is the remainder when 103 is divided by t(19)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1417 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - 9*y + y)*((7 - 3 - 3)*(1 - 1 + y) + 3 - 3 - 2*y).\nAnswer: 7*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**(-29)*l*((l\/(l\/(l\/(l**37*l))))\/l)\/l assuming l is positive.\nAnswer: l**(-66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 9*x**2 - 2*x - 2. Let q(y) = -4*y + 34. Let m be q(8). What is p(m)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 58 + 9 = -2*v, -2*v + b = -39. Solve v*m - 21*m + 4 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2567, -10231, -23003, -40883?\nAnswer: -63871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 168\/(-36)*2\/(-7)*3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 4*f - 4. Let j = -29 - -27. Let n be 2\/16*(f - j). Is n less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**4 + 18*q**3 - 19760*q**2 - 118776*q.\nAnswer: 2*q*(q - 98)*(q + 6)*(q + 101)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84283 is divided by 4100.\nAnswer: 2283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 5) to base 4\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 8*f**2. Let d(o) = 1333438*o - 1. Determine d(r(k)).\nAnswer: 10667504*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 - 78*z**2 + 165*z + 4488. Calculate j(75).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.07091 and 0.02?\nAnswer: 0.09091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11234?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -31204612 (base 7) in base 12?\nAnswer: -a66327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*h - 15*h + 9*h)*(-3 + 4 - 2).\nAnswer: 29*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1135*y*z**4 + 13*y*z**3 - 4*y*z - 8364*y - z**3 wrt z?\nAnswer: 13620*y*z**2 + 78*y*z - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22748 is divided by 22710?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**(1\/4)\/u)*u*u**(2\/7)\/u)\/(u**0)**(-10)*(u\/(u*u**(1\/3)))\/u**3*(u\/(u*u*u\/(u*u*u**(-3\/4)\/u)*u*u))\/u**(2\/9) assuming u is positive.\nAnswer: u**(-332\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 = 354*l - 312*l. Solve -2 = -4*q + z - l, 5*q + 20 = 5*z for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + 1)\/5 - -6. Suppose 3*l - 879 = t + 96, -4*t = 5*l - 1642. Suppose 2*g + 4 = -0, -l = -5*n - 2*g. What is the highest common divisor of k and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 616*b**2 - b + 7*b - 6*b - 613*b**2.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -41*o**3 - 3*o**2 - 3*o + 3. Suppose -78 + 357 = 65*w - 241. Let d(r) = -122*r**3 - 8*r**2 - 8*r + 8. Give w*j(h) - 3*d(h).\nAnswer: 38*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 137\/24 (b) 2\/11 (c) -31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 21210312 (base 4) to base 11\nAnswer: 27517","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 33822.55ml in litres?\nAnswer: 33.82255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.0929 and 6.\nAnswer: 7.0929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = 3*d + 7, -2*d + 217 = 5*b + 205 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1387060.\nAnswer: 2, 5, 223, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4.5 (b) -9 (c) 1540\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**2 + 1335 + 0*u**2 - 1274.\nAnswer: -u**2 + 61","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.01 + 0.41. Let q = 0.9 - m. What is the closest to -1\/2 in q, -1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42, -978, -2678, -5058, -8118?\nAnswer: -11858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (10\/55)\/(13\/572)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 9:02 PM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -91*c + 312. Calculate s(76).\nAnswer: -6604","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 10322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 3*k + 5)*((0 + 0 - 2*k)*(0*k + 0*k - k) - 4*k**2 + k**2 + 5*k**2 + 3*k**2 - k**2 + k**2).\nAnswer: -21*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 677 is divided by 644?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 divided by 115?\nAnswer: 231\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*v - 3*z + 51, 6*v + z + 25 = 19 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6774548 and 2662.\nAnswer: 74520028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 336325?\nAnswer: 5, 11, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2080 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.15? (a) -5\/7 (b) 0.5 (c) 14 (d) 11 (e) 0.1 (f) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*(d\/d**(-1))\/d*d)**(-49)*((d**(1\/10)\/d)\/d)\/(d\/(d*d**(1\/12)\/d*d*d)*d) assuming d is positive.\nAnswer: d**(-8929\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.007 - -0.701341.\nAnswer: 0.694341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -108448832935\/5502 + 19710802. Let x = m - -1\/1572. What is the common denominator of -73\/9 and x?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f\/(f**(-1\/9)*f))\/f*(f*((f*f**(5\/6))\/f)\/f)\/f)**(-23) assuming f is positive.\nAnswer: f**(23\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 4*k + 1917000 = 0. Round k to the nearest ten thousand.\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 3:24 PM?\nAnswer: 10:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111001110100111100001111010100 - -100?\nAnswer: 111001110100111100001111011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122*k**2 - 61*k**2 - 44*k**3 - 67*k**2.\nAnswer: -44*k**3 - 6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qv when two letters picked without replacement from xvwxxxqxxwqxqxwqxq.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 2)*(2 + 0 + 0)*(0 + 4 - 6)*(-2*o**5 + o**5 + 0*o**5).\nAnswer: 12*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 8.8 times -1358.7\nAnswer: -11956.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -132 - -136. Which is the third smallest value? (a) -1\/4 (b) 2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, -13, -70, -155, -268, -409, -578?\nAnswer: -775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5588 equal to 3664?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22388 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 PM and 12:50 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.8 (b) 3 (c) -29.6 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -124, -198, -222, -190, -96?\n\"Answer: s**3 + 19*s**2 - 138*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -9050 divided by -8726\nAnswer: 4525\/4363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + 11*h**2 + 11*h + 17. Let i be (-5)\/((-20)\/(-24)) - 4. Let a be w(i). Let b(u) = 334*u - 55. Is b(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13? (a) -9 (b) 2\/9 (c) 1.41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 - -10. Let d be (-2 + -4)*f\/6. Solve 3*m + d = -10 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -123.7 + 124.6. Which is the closest to v? (a) 0.4 (b) 2\/9 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/17, 1130853, 5\/8 in descending order.\nAnswer: 1130853, 5\/8, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert a8fa58 (base 16) to base 14.\nAnswer: 1683a9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p = -5*p - 2. Is (p + 3)\/((-4)\/(-34)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 12:46 AM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 7*j**3 - 6*j + 3. Let a(y) = -y**3 + y. Give 4*a(f) + g(f).\nAnswer: 3*f**3 - 2*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 381 + -381. Let q(v) be the third derivative of 6*v**2 + 1\/120*v**5 + 0*v**4 + 0*v + m + 1\/480*v**6 + 0*v**3. Solve q(i) = 0 for i.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 36\/1 - (-4 - -4). Let m = -26 + 30. What is the greatest common factor of c and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 5:07 PM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 67 - 64. Suppose -8*m + 630 = -d*m. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*o - 40*o + 118*o)*(4 - 19 - 14 - o)*(0*o - 2*o + 4*o).\nAnswer: -142*o**3 - 4118*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 138*t**2 + 69*t**2 + 577*t**2 to the form f*t**2 + w*t + o and give f.\nAnswer: 784","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4993 or 369?\nAnswer: 369","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2*r + 10 = -3*r, 4*c - 32 = 2*r. Suppose -3*p - 4*q = 238, p - c*q + 3*q + 101 = 0. Let h = p + 165. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 4:55 AM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -478 - -595. Sort -5, -6, -4, q, -2 in descending order.\nAnswer: q, -2, -4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from coetcocotekeoe. Give prob of picking 1 e, 1 o, and 1 t.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, -17 in ascending order.\nAnswer: -17, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1304*d = 5*z - 1307*d - 74, 3*z = -5*d + 24 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 762846?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -7 (c) -0.5 (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -195247 <= -195384?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - -16 - (-79 + 81) - -15?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.8*447998.\nAnswer: -1254394.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and 23517.7.\nAnswer: 23520.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m + 19. Let q be h(-11). Let w(c) = -6*c + q*c + c. Let r(y) = -2*y**2. Give w(r(k)).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -t - 0*q - 16, -3*t + 3*q - 33 = 0. Let y(p) be the second derivative of -121*p**3\/6 + 13*p**2\/2 + 4*p. Is y(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -4*s + 23. Let p(z) be the third derivative of z**5\/30 - 17*z**4\/24 - 5*z**3\/3 - 1001*z**2. What are the prime factors of p(s)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2645, 2631, 2605, 2561, 2493?\n\"Answer: -h**3 - 7*h + 2653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*m + 62*m + 2169 - 1219.\nAnswer: -m + 950","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12396538 and 36764?\nAnswer: 1414","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 3*x - 3. Let w(l) = -l + 1. Let z(j) = v(j) + 4*w(j). Let y(q) be the third derivative of 0*q - 9*q**2 + 1\/8*q**4 + 0 - 2\/3*q**3. Give y(s) + 2*z(s).\nAnswer: s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 12 + -7 + 11 - (8 - 15).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2664 smaller than -2013?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - l = 3*l + 3, 2*w + 2*l - 6 = 0. Suppose -41 = -w*z + 58. Let j = z - 20. What is the remainder when 23 is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2232 = -4*q + 1070, 3*d = -15. Let p(n) = 5*n**2 + 828*n - q*n. Let c(v) be the third derivative of -v**4\/8 - 4*v**2. What is c(p(i))?\nAnswer: -15*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 46 = 36 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*h + 110*h = -4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 62\/35 in 1\/3, 5, 1\/8?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10879525?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - 2. Let u be ((-9)\/12)\/(c + 1). Put -1\/2, 3, u in descending order.\nAnswer: 3, u, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35000*i + 35001*i + 1203*i**4 - 3118*i**4 - 2*i**3 to k*i**4 + m*i**3 + q*i**2 + a + y*i and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 223577 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, n: 2, t: 3, z: 2, k: 3}. Give prob of picking 2 n.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 125*8.9\nAnswer: 1112.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37\/36 + 10\/9. Let y = -0.09935 + 3.09935. Put y, w, 2\/7 in decreasing order.\nAnswer: y, 2\/7, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -2 - (7 - 4)) + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -52.081479 to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -555 divided by -185\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-1*(sqrt(80) + 0 + sqrt(80)) + sqrt(80))**2 + ((5 + sqrt(80) + -1)**2 - sqrt(80)))*4 + 1.\nAnswer: 112*sqrt(5) + 713","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 743849?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 4 = -4*s. Suppose -60 = -s*m - 2*m. What is the second derivative of -m*w**3 - 8*w + w - 3*w wrt w?\nAnswer: -90*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.06441 rounded to the nearest integer?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2025 - 2023. Let o be ((-4)\/5)\/((-3)\/15). Suppose -4*l + 941 = -z, o*l - 916 = -m*z - 2*z. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -3.9. Sort -0.3, 2\/15, d in decreasing order.\nAnswer: 2\/15, d, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -42129*t*v - t - 687234*v wrt t.\nAnswer: -42129*v - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of 23*n**3\/3 + 837. Let x(c) = -7*c - 9. Let q(i) = -3*i - 4. Let p(r) = -9*q(r) + 4*x(r). Determine p(f(b)).\nAnswer: -23*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by 25?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*w - 684 = 54*w + 1252 for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1024 and 22144.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4\/5, 0.15 in ascending order.\nAnswer: -4\/5, 0.15, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6646535 + 6632012.537. Let p = 14530 + s. Let l = p - -0.063. What is l rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -22*a. Let g(r) = 82306*r. Calculate g(f(x)).\nAnswer: -1810732*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*t + 5*g = 90*t - 97, -6*t + 39*g - 35*g + 156 = 0 for t.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-7))\/((-6)\/7)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1196984281 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 383*s**3*y**3 + 193274*s**3*y**2 - 10*s**2 + 12178*s*y**3 - 68*y**3 wrt s.\nAnswer: 2298*y**3 + 1159644*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -1149999*v**2 + 3*v - 28. Let l be m(4). Round l to the nearest 1000000.\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9117 is divided by 94.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven quarters of a millennium?\nAnswer: 33000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14\/(-14) + 164395\/(-19). Let a = -8656 - x. What is the common denominator of 53\/5 and a?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79154492507 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.06, 4, -3, -1, -25\/2, -2?\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8\/12)\/(4209\/(-1404) + 3). Calculate the highest common factor of 39 and b.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -414 + 391. Let k(m) = m**3 + 22*m**2 - 21*m + 46. Let c be k(l). Solve c = -x + 5*r + 10, 8 = 3*x - 8*r + 4*r for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01673 to 3 decimal places.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 0 - -8 - (-7 - -12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = l + 37. Let p = -66 - l. Which is greater: p or 51\/4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 494 and 7999228?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8.74 and -0.2.\nAnswer: -1.748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 18 = 4*l, -c + 4*c - 30 = -4*l. Suppose 0 = l*y + 38 + 4. Let v(u) = -18*u - 47. List the prime factors of v(y).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**3 - 2*b**5 + 0*b**3 + (0*b + b - 17*b)*(-b**4 + 0*b**4 + 2*b**4) + 6*b**5 - b**4 + b**4.\nAnswer: -12*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a milligram in micrograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*d**2 + 2*d - 21*d**2 + 0*d - 7)*(-1 + 1 - 2*d).\nAnswer: -4*d**3 - 4*d**2 + 14*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.5, 4, -0.08, -1 in descending order.\nAnswer: 4, 1, 0.5, -0.08, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - 21b?\nAnswer: -217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33 + 3 + (222 - 268)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - 7*c**2 + 6*c + 34. Let j be l(4). Solve 2*x + 0 - 4 = 2*b, x + j = -5*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/29, -14986, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4058 bigger than 4053?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3 and -7983156.7?\nAnswer: 7983153.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 14839, 14843, 14847, 14851, 14855?\n\"Answer: 4*d + 14835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1 + -0.1034. What is c rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1472670, 5890674, 13254014, 23562690, 36816702?\n\"Answer: 1472668*m**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 4:11 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 20 = o. Let s(p) be the second derivative of -p**5\/20 - p**4\/4 - p. Let w(y) = -2*y**2. What is o*s(i) + 3*w(i)?\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 718 + -273. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 74257 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 0 - 10. Let l be (v + (-7)\/3)\/(4\/48). Let k be (l - -43)\/1 - 4*1. Solve -5*x - 4*g = k, -5 = 2*g + 5 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g**4\/3 + 3386*g**3\/3 + 11894*g**2\/3 + 1700*g = 0. What is g?\nAnswer: -3, -1\/2, 0, 850","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**4 + 24*p - 1 + 3*p**3 - 23*p - 5*p**3 as q*p + t*p**4 + c*p**3 + g*p**2 + s and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (6 - 3) + -1 - -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(252) + (-1*sqrt(252) - sqrt(252)))\/sqrt(12) - sqrt(21))*-6)\/(sqrt(567) + 2*sqrt(567) + (sqrt(7) - (sqrt(7) - 5*(sqrt(7)*-3 - sqrt(7))))).\nAnswer: 36*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 39, 176, 523, 1176, 2231, 3784, 5931?\n\"Answer: 16*l**3 + 9*l**2 - 2*l + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19844 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of v**5\/60 - 7*v**4\/24 - v**3\/3 + v**2. Let m be b(4). Let q = -5 - m. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o. Let p(g) = 16*g - 3. Let s(l) = -l + 1. Let f(x) = -p(x) - 3*s(x). Give f(c(m)).\nAnswer: -26*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 - 15. Let o be (m - -3) + 6 + -4. Factor 2\/5*h**o - 12\/5*h + 18\/5.\nAnswer: 2*(h - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1296932 to the power of 1\/3, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 1\/31, 2, 2\/879, 0?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of 4*s**3\/3 - 111. Let a(q) be the first derivative of 5*q**2 + 2*q + 57. Calculate a(z(u)).\nAnswer: 40*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 402 + -401. Which is the closest to -8? (a) 5 (b) -3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15 + 5*j**2 - 2*j - 2*j**2 + 2*j + 88 to m + q*j + r*j**2 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1327344056 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -43641 less than 472747243?\nAnswer: 472790884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-2\/7))**(-11\/5)*l**1*l**3)**(-48))**(-2) assuming l is positive.\nAnswer: l**(15552\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 16*o - 14*o - 4, 2*o + 3*a = 24. Suppose -3*j + 7 = -d + o, 16 = -2*j + 4*d. Let -l - 1\/2*l**j - 1\/2 = 0. What is l?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/8390720 and -23\/1694280.\nAnswer: 176205120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1102955 divided by 5.\nAnswer: 220591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17)\/(-5) - (-100)\/(-550)*(-132)\/(-8).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -727513 * 1\nAnswer: -727513","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -22071.\nAnswer: 6621.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/7*(-3 + 2) + (-52314278)\/574. What is i rounded to the nearest one thousand?\nAnswer: -91000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 4 + -4 + 6 + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 PM and 4:38 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -2099907.857 to the nearest 1000.\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**5*j)\/j*j*j)\/j**(-2\/5)*(j**(2\/3)*j)\/j**6)**(-2\/35) assuming j is positive.\nAnswer: j**(-122\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.1 and -14268 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 149622 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -189*p + 80. Calculate z(-2).\nAnswer: 458","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 98606.7 hours in milliseconds?\nAnswer: 354984120000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 12, -2\/287, -1 in ascending order.\nAnswer: -1, -2\/287, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) -4\/3 (b) -1\/5 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q**2\/23 + 25103728*q\/23 + 16735816\/23 = 0. What is q?\nAnswer: -4183954, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/93610 and 7\/714472.\nAnswer: 132177320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3\/17)\/o**(-1\/20))**(3\/17) assuming o is positive.\nAnswer: o**(-129\/5780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 239088 and 162.\nAnswer: 6455376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n + n**2 + n + (2*n - 4*n + 0*n)*(2 - 2 - n) + 231*n**2 - 221*n**2 - 145*n**2 to j*n + z + k*n**2 and give k.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, m: 2, v: 5, y: 2, g: 2, t: 1}. What is prob of sequence tx?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -5.3. Let i = 18.234959 + -0.234959. Put 0.3, c, i in increasing order.\nAnswer: c, 0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2678 - 66157*q**2 + 63718*q**2 - 2678.\nAnswer: -2439*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-2*(-4)\/(-96)). Suppose -d*f + 4686 = -2994. Is 19 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1214 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4723*g**2*s**3 + 2*g**2*s - 8*g*s**4 - 163574*s wrt s.\nAnswer: -28338*g**2*s - 96*g*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -4*v**2 + 5*v + 4. Let j be d(-1). Let w be (-6 - 0)*(-1)\/2. Sort 4, j, w.\nAnswer: j, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-10)*(6 + -1). Suppose -18*m - 5*o = -22*m + 1641, -x*m + 817 = o. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-348729 - -1)\/(428 - 436)?\nAnswer: 43591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c = c - 104. Calculate the smallest common multiple of 4 and c.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l, 1 w, and 1 p when four letters picked without replacement from {p: 1, l: 2, w: 1, r: 2, a: 1, t: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1466 + -333. Let o(r) = -r - 1141 + p - 2*r + 7*r. Is 2 a factor of o(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*-1 - 20\/(-5). Suppose 0 = -3*x + 5 - f. Which is bigger: x or -2\/41?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 7.4\nAnswer: 14.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (-9 - -3) + -8?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of 0*k**5 + 0*k + 0 + 0*k**7 - 1\/570*k**6 + 1\/228*k**4 + 1\/3192*k**8 - 14*k**2 + 0*k**3. Let s(o) = 0. What is o?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((208\/16)\/65)\/(-5)?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -0.09, 0.2, -10, 5?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x, -3*y - 4*x + 4 + 26 = 0. What is the remainder when y is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -75137254 divided by 5?\nAnswer: -75137254\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of o**8\/168 - o**4\/8 - 3*o**2\/2 - 2. Let n(p) be the second derivative of a(p). Find the second derivative of n(c) wrt c.\nAnswer: 40*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 5. Let y be -3 + (-5)\/5*-23. Calculate the greatest common factor of h and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3015*m + 3253*m - 8019 = -879 for m.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does -129 = -131?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o**2. Let a(z) = -11*z**2 - 3*z + 3. Let t(y) = 11*y**2 + 4*y - 4. Let b be (-1)\/(-7)*-2*-7 + 2. Let l(k) = b*a(k) + 3*t(k). Give n(l(v)).\nAnswer: 242*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*w**3 + w + 1 + w + 8*w**3 - 21*w**3 as i + o*w**2 + r*w + q*w**3 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 43 + 0?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 8939, 35353, 79373, 140993, 220207, 317009?\n\"Answer: -b**3 + 8809*b**2 - 6*b + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/8 - (266823\/(-36) + -9). Suppose 0 = -3*h + 4*h - t. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 6, t: 4}. What is prob of sequence qqq?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 PM and 1:53 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*c**3 - 80 + 16*c + 16*c**3 - 20*c**3 + 82 in the form q*c**3 + u*c + h + t*c**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 18743457 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 73 - 73. Suppose j*y + y = -0*y. Suppose 8*f - 333 - 371 = y. Is 22 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 2*m - 2*m + (1 - 2*m - 1)*(-1 + 1 - 1) + 2*m - 2 + 2 - 2)*(-3*m**4 + 0*m**4 + m**4).\nAnswer: -6*m**5 + 4*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of -d**6\/7 + 2*d**5\/35 + 86. Solve j(m) = 0.\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 583 - 67. List the prime factors of m.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133020 + 36272 = -2546*s for s.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9865967*s - 10780 = 9865722*s for s.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6833.8 from -2215135472.\nAnswer: -2215128638.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-3)\/(-2*(-15)\/(-80)) and 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 + y**2 - y + 1. Let m(d) = 2*d**3 - d**2 + 1. Let x(k) = 14*k**3 - 9*k**2 + 3*k + 1. Let n(j) = -4*m(j) + x(j). Determine n(u) + 3*s(u).\nAnswer: 3*u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**1*m\/m**5)\/(m*m*m**(-2\/5))**(-42) assuming m is positive.\nAnswer: m**(321\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1687\/6 + -281. Let p(q) be the second derivative of -1\/3*q**3 + 1\/3*q**2 - 1\/30*q**5 - 6*q + k*q**4 + 0. Factor p(y).\nAnswer: -2*(y - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 9:56 PM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 - 3*w**2 + 3*w - 17. Determine d(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 26 = -0*o. Let g(d) = -d**3 - 8*d**2 - 10*d + 15. What is the remainder when g(-7) is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 10*f**2 + 1. Let j be 10\/(-15) - 128\/(-3). Suppose -14 - j = -4*h. Calculate the remainder when b(-2) is divided by h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) 4\/29 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3777088530?\nAnswer: 2, 3, 5, 71, 1773281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - q - 56 = -169, z + q - 58 = 0. Suppose 6*g + g - 223 = -4*o, -3*g + 5*o = -109. Calculate the highest common factor of z and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 87 - 84. Let f(s) = s**2 + 1 + 104*s**3 + 4*s**z + 2*s - 7*s**3 - 3. List the prime factors of f(1).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v**2 + 19*v - 8. Let q be a(-10). Find the third derivative of 8*f**3 + 68*f + 3*f**q + 18*f**3 - 77*f wrt f.\nAnswer: 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g + 998401736 - 998401736.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 867 + -95. Suppose 3*a - 2304 = -3*h, t = h - a - 2*a. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -60, -59, -48, -21, 28, 105, 216?\n\"Answer: t**3 - t**2 - 3*t - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + 15e?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 18 = x, 0 = -x - 3*v - 0*v + 19. Let z be (-16)\/(-40) + x\/(-65). Which is the closest to -2? (a) -0.1 (b) 4\/5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/((-108)\/(-8))*-39. Let l = -23 - m. Let y(b) = 2*b - 3. Let n be y(2). Solve -3*s + l*q - 4*q = 4, -2*s + q - n = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**3 + 152529756*r**2 + 1938777052921863*r - 3877554715962774.\nAnswer: 3*(r - 2)*(r + 25421627)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 - 35 - (1 + (1 - 7)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -1046, -7, -5 in ascending order.\nAnswer: -1046, -12, -7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 44017 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2268*s**2 + 2322*s + 67. Give w(1).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*c + 8 + 154 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 379156244 to the power of 1\/3, to the nearest integer?\nAnswer: 724","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + -170?\nAnswer: -172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 406175 is divided by 46?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/27208531 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 482 is divided by 475?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16796 is divided by 16784.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3621717 smaller than 3621718?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/7, -191, 329\/4?\nAnswer: -191","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (30\/36)\/(16\/(-96)). What is the fourth biggest value in 134\/5, a, -1, -10, 2\/9?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46 divided by -512717\nAnswer: 46\/512717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1476, -1479, -1484, -1491, -1500, -1511, -1524?\n\"Answer: -b**2 - 1475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21041521 to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -58.4 - -58. Which is the second smallest value? (a) x (b) -1\/6 (c) 1\/54\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -584.377 - -584. Let r = 9555178 + -9555178.37700151. Let f = u - r. What is f rounded to 7 dps?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + 1)\/(4\/(-44)). Let b = w + 19. What is the highest common divisor of 1 and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of g**4\/24 + 11*g**3\/3 - 4*g**2. Calculate the lowest common multiple of 10 and n(-12).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 8:31 PM?\nAnswer: 12:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27 + 82. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1922\/5 - -2189\/5. Let u = 3491\/65 - w. Factor 2\/13*j**2 - u - 2\/13*j.\nAnswer: 2*(j - 2)*(j + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1270389\/4 bigger than -317598?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**11*k)\/k)**(-3\/5) assuming k is positive.\nAnswer: k**(-36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -548, -4, -75 in increasing order.\nAnswer: -548, -75, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -233*i - 96 = -236*i. Calculate the least common multiple of 28 and i.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 - 2*b**2 + b + 7. Let s be q(-2). Suppose 2*g + 5*m = 29, -20*g + 37 = -19*g - s*m. Calculate the remainder when 92 is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/5? (a) -1 (b) -4 (c) -7\/6 (d) 0.6 (e) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/9 and 1\/72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/48326544 and 145\/108.\nAnswer: 48326544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d**3 + 4*d - 6*d - d**4 - d**4 to k*d + z*d**3 + r + q*d**2 + u*d**4 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.016 and -0.65.\nAnswer: -0.666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qf when two letters picked without replacement from ffzqzzzzffzqguqfuquq?\nAnswer: 5\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5486?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*u - 12*u - 8*u - 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -d1?\nAnswer: d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 12:30 PM?\nAnswer: 5:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 3:53 AM?\nAnswer: 2:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1003860 and 170235.\nAnswer: 1755","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 123*z + 2925186 - 2909073 for z.\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4641 and 7140.\nAnswer: 92820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand j - j + j**3 + (118*j**2 - 79*j**2 - 93*j**2)*(0*j - j - j) - j**3 + 6*j**3 - 3*j**3 - 3*j**3 + 1 - 1.\nAnswer: 108*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = p - 2*p + 13, -3*p + 17 = 4*v. Solve -5*j + 9 = -v*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7206620009 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 4*k**2 - k - 1. Let n be j(-1). Let v = -127 - -132. Suppose -v*t = n*b - 60, -t + 4*b + 52 = t. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5265 by -8557.\nAnswer: 5265\/8557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34414 is divided by 733.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 274 a factor of 23016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/20201 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of -1\/220*s**6 - 1\/1848*s**8 + 0*s**3 - 16*s**2 + 0*s + 4\/1155*s**7 + 0 - 2\/165*s**5 + 1\/33*s**4. Solve w(o) = 0 for o.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 220 and 88?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 1 - (-2 + 0 + 17 + -2) - 4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + 7*y**2 - 8*y - 18. Let c be i(-8). Let t(k) = 6*k + 4. Calculate the remainder when t(7) is divided by 96\/c*(-2 + (-2)\/8).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 8:35 AM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 + (-30)\/4)*12\/(-14). Suppose n*u - 3172 - 923 = -4*c, -4077 = -3*u + 2*c. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 671335.5km in micrometers?\nAnswer: 671335500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 20, -3\/40, -4, -7, -0.2?\nAnswer: -3\/40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 0. Let j be 2\/i + 12\/18. Solve -2*v + 2*y = -8, j = -4*v - v - 2*y - 15 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -46185308 by -11546327.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*d = 1810 + 1060. Solve 0 = -2*r, 2*c - 5*r - 35 = -d for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45804 + 31428 = -1207*h - 1690 - 52641 for h.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -a9 (base 14) in base 3?\nAnswer: -12112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5 + 25 - (-1 + -2).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*c + 6*c - 11*c**2)*(2 + 2 - 2).\nAnswer: -22*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-5))\/(-4)*75\/83835*18\nAnswer: 2\/207","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 13, 79, 353, 967, 2053?\n\"Answer: 22*y**3 - 28*y**2 - 4*y + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*q - 146*q + 8 = 0 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -235800*5\/24*8. What is s rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 456 - 453. Calculate the remainder when 77 is divided by j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5603*s = -5614*s. Let n(x) be the third derivative of 0*x + 2*x**2 + s + 1\/6*x**3 - 1\/12*x**4. What is n(4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 24\/(-30) + 2\/(-10). Let d be (-25)\/(-4) - n\/(-4). What are the prime factors of 1 + d + -2 + 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1022537 is divided by 425?\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-4) + 21\/(-42).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 8*s + 20 = 0. Let d(u) = u**3 + 6*u**2 + 1. Let w(k) = 2*k**3 + 7*k**2 - k + 2. Let l(c) = 3*d(c) - 2*w(c). Is l(s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1833 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9342*b = 9372*b - 14160. Calculate the least common multiple of b and 16.\nAnswer: 944","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/13 - 818*k\/13 + 4980\/13.\nAnswer: -2*(k - 6)*(k + 415)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 5*t**2 + 85*t + 304. Let y be m(-5). Let p(x) be the second derivative of 25\/6*x**3 - 5\/12*x**y + 14*x + 0 - 15*x**2. Solve p(d) = 0 for d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/(-2)*1 + (-60)\/(-15). Which is the third biggest value? (a) -3 (b) -6 (c) 2 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 + 51 + -10 - (4 + -17)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 3*b**2 - 6*b - 1. Let a(w) = 16*w**2 - 30*w - 4. Let v(p) = 2*a(p) - 11*t(p). Is 4 a factor of v(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 + 8*w**2 - 5*w - 4. Suppose 2*h - 7 = d, -h - 3*d + d - 9 = 0. Let v = 6 + h. Let q be u(v). What is the greatest common factor of 30 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 40 + 70. What is the highest common factor of 10 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 25 - 15 = 0. Let q be m - ((-2 - 1) + 6). Suppose 0 = -r - 4*r + q, 2*o + 3*r - 111 = 0. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -25726910 to the nearest 1000000.\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 13*c + 963. Let d(m) = -7*m - 482. What is -11*d(q) - 6*r(q)?\nAnswer: -q - 476","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -ac + -2?\nAnswer: -ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-20) - (-364)\/5. Let r = z - 70. Suppose 0 = -3*i + r, i - 3*i = 2*s - 124. List the prime factors of s.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*v**2 - 5*v + 5*v + (-53 + 79 - 83 + v)*(2*v - 5*v + v).\nAnswer: 2*v**2 + 114*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 150*z - 59*z - 32*z to the form r + b*z and give b.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.0358*0.53\nAnswer: -0.018974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 1351*v = 1341*v + 300, -3*h = v - 40 - 6 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, d: 5, n: 1, h: 1, a: 2, w: 2}. What is prob of picking 1 n and 2 a?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 87\/6*210\/1015. Let t(l) = 3*l + 3. Let x(a) = 7*a + 7. Let u(g) = 5*t(g) - 2*x(g). Let c(k) = -k**2 + 4*k + 4. What is n*c(q) - 12*u(q)?\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 - 2*r**2 - 6. Let f be w(3). Suppose -2*t + 5*t = -f*i + 6, -3*t = -3*i + 24. Let v be 8*((-5)\/2)\/5. Put i, 1, v in decreasing order.\nAnswer: i, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/(-20)*8\/(-10)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -148 + 150. Solve -2*n + 8 = -0*n - k*i, 2*n = -4*i - 10 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i + 4. Let t = 39 - 27. Suppose 5*g - 13 - t = -5*j, 0 = 3*j - 4*g + 20. Give q(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -4*m - 4*y + 38, 5*y = 2*m - 35. Suppose -104 = 14*c - m*c. Is 26 a factor of (c\/(-5))\/((-4)\/(-20))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.85 to the nearest integer.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v. Let f(l) = 5899*l. Determine f(j(u)).\nAnswer: -11798*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 20*d**4\/17 + 58*d**3\/17 + 30*d**2\/17 - 16*d\/17 - 8\/17 = 0. What is d?\nAnswer: -2, -1, -2\/5, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 1\/2, 0.0168795?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 133065?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 3*r + 2. Let t be (r\/(-9))\/((-2)\/(-12)). Suppose -t*b = -2*q + 10, 0*q - 3*q + 3*b = -15. List the prime factors of q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/19? (a) 2\/3 (b) -38 (c) 1\/4 (d) 4\/7 (e) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -830, -1660, -2488, -3314, -4138?\nAnswer: -4960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7833 is divided by 1305.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.1, -0.09, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 AM and 9:41 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 315440 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-9405)\/(-675))\/19)\/(1\/5)?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 j, 1 k, and 1 t when four letters picked without replacement from jtykd.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z**3 - 145*z**2 + 1747*z + 258. Determine c(-83).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 22 + -267?\nAnswer: -245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1b + 2a?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 3*b + 29. Let u be t(-9). Suppose d - 5*y = -5, 0 = 2*y + u*y + 20. Let s be 1469995\/d - (-1)\/(-6). Round s to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-3))\/(44\/(-132)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f - 1. Let h be w(3). Suppose -4*m + h = x - 2*m, 1 = -3*x - 2*m. Let s = -3 - x. Is 0 equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9594914 litres to millilitres.\nAnswer: 959.4914","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1831.711694 to the nearest one hundred.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*t - 1)*(-2*t + 4*t - t)*(35*t + 508*t + 592*t).\nAnswer: 2270*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -39, -72, -125, -204, -315, -464?\nAnswer: -657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -72504, -144979, -217426, -289845, -362236, -434599, -506934?\n\"Answer: 14*l**2 - 72517*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 3*l**3 - 219*l**2 - 447*l - 225 = 0.\nAnswer: -1, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -3*c + 12. Let u(i) = 74886*i**2 + 12*i. Calculate h(u(l)).\nAnswer: -224658*l**2 - 36*l + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 15*i - 12*i + 6 = 0, 3*i = 5*g - 38 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 150876 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 - 4*j + 8. Let d be f(-4). Suppose 0 = 29*s - d*s - 22134. Is 96 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n**3 + 2*n**2 - 4*n. Let f(m) = -11*m**3 - 12*m**2 + 23*m. Let l = -28 - -62. Let u(t) = l*d(t) + 6*f(t). Let u(h) = 0. What is h?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b**4 + 131*b**3 - 50*b**2 + 47735*b wrt b?\nAnswer: 12*b**2 + 786*b - 100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8718 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/25 and 14\/68445.\nAnswer: 342225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6364 divided by 1591?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -8774*d**2 + 851076*d + 162. Calculate y(97).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 p when three letters picked without replacement from {b: 3, p: 15}?\nAnswer: 105\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r. Let w = -6 - -10. Suppose -12 + w = 2*j. What is i(j)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 j when three letters picked without replacement from ygyjyjqnyjjgqy?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -53 + 157\/3. Let w be ((-6)\/6)\/(1\/(-5)). Let d = -593\/3 - -196. Which is the nearest to x? (a) -4 (b) w (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -o - 4*o + 21, -10 = -2*o. Find v, given that -1\/2*v**4 + 1\/2*v**x - 1\/2*v**5 + 0*v + 1\/2*v**3 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - z = -5. Let f = 0 + 5. Suppose f*j + z = 26. Calculate the smallest common multiple of j and 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 PM and 1:01 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 5*x - 169 = 0, 5*b - 365 = 5*x - 4*x. What is the greatest common divisor of 216 and b?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 517978932 to the nearest integer?\nAnswer: 803","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j**3 - 11407381*j**2 + 3976834*j wrt j.\nAnswer: 6*j - 22814762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 246581 to the nearest integer?\nAnswer: 497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 157892339 to the nearest integer?\nAnswer: 12566","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/9, -28.88, 6, 1\/73?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8678 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 859*q - 313 = 2063*q - 844*q + 16247 for q.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + 120?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - -1 - (-4 + 6 - -33)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + -1 + -10 + 10 + -3?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/(sqrt(27)\/sqrt(9))*-5)\/((sqrt(60) - sqrt(8640)*1)\/sqrt(6)) + 2 + -5.\nAnswer: -3 + 5*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 253.227 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 4:21 PM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kdk when three letters picked without replacement from dlkkkcskdckkc.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-104)\/5)\/(-1) + 18\/15. Suppose 8*c - 10730 - w = 0. Is 23 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1651\/15 - -32\/5. Let a = 156\/1145 + 4616281\/44655. Let j = t + a. Which is smaller: 1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -321 = -3*o + 2*z, 4*z = 18 - 6. Calculate the remainder when o is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4113 - -6272?\nAnswer: 2157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11797 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of 2*q**6\/15 + q**5 + 3*q**4 + 14*q**3\/3 + 4*q**2 + 14*q - 4. Find t such that b(t) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.5 + 0.5. Let y be (3 - (-28)\/(-8)) + 0. Which is the nearest to r? (a) -3 (b) y (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1287, 2579, 3875, 5175?\nAnswer: 6479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9262655?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5981 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**3 - 11620*v**2 + 16854786*v + 67605192 = 0. Calculate v.\nAnswer: -4, 2907","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 44297 divided by -4\nAnswer: -44297\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -235, 3 in decreasing order.\nAnswer: 4, 3, -5, -235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -52.5 + 47. Let i = c + 5. Let a = i + 0.49999948. Round a to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86830975.\nAnswer: 5, 7, 11, 43, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -225, -227, -229, -231, -233, -235?\n\"Answer: -2*g - 223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, 2, 12838, -1 in descending order.\nAnswer: 12838, 2, 1\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132930855.\nAnswer: 3, 5, 251, 3923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = -12*b - 271, -5230*b + 5234*b = 3*k - 89 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1949*x - 1266180 = -1964*x. What are the prime factors of x?\nAnswer: 2, 47, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of -2*x**6\/15 + x**5\/30 + 9*x**2. What is the third derivative of w(h) wrt h?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, b: 4, s: 2, t: 6, h: 2}. What is prob of sequence hbb?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five halves of a millennium in years?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/9)\/((-305)\/(-3111)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 138336?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nrdn when four letters picked without replacement from {r: 1, n: 3, d: 4}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 39997066 = 159176704. Let p = n + 2310168377\/58. Let x = 4264 + p. Find the common denominator of 63\/16 and x.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 938 = -24*o + 58 - 104 for o.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -1267251 - 6577*k**4 + 1267251 + (-k + 1 - 1)*(4*k**3 + 0*k**3 - 3*k**3) + k - 2*k**4 - k as m + j*k + f*k**2 + t*k**3 + v*k**4 and give v.\nAnswer: -6580","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3107, -4997, -6887?\n\"Answer: -1890*x - 1217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.10862 - 0.10890091. Round x to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**3 - 27 - j**3 + 10 - 3*j + 3*j**3 to q*j**2 + t*j + g*j**3 + y and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 h when three letters picked without replacement from {h: 6, l: 4, g: 2, p: 1}.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 6*a = -4*k + 19, 5*k + 38*a - 34*a = 11 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, z: 5, a: 6, s: 3, f: 1}. What is prob of sequence cs?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 t when two letters picked without replacement from qphwhpdpthd.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zznzxzzdzgffzd. What is prob of sequence zzx?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1149*g**2 - 8 + 13 - 5.\nAnswer: 1149*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 3*g - 35, 0 = 3*g - 15 - 0. Suppose 388 = r*j - 56. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 265*l - 1909 - 13461 = 0. Calculate the remainder when 532 is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.37 * -0.001.\nAnswer: -0.00037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -37414 - -92166. Is h a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202261571 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rpppuqq. What is prob of sequence rqq?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 102217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (-17 - -7 - -3) - 5 - (-46 - -3)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -22735672\nAnswer: -90942688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1489665?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {b: 1, a: 17}?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -31403081*b**4 + 10*b**3 - 3144*b**2 - 64*b - 28 wrt b?\nAnswer: -753673944*b + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 14 = -5*g. Suppose -3*z = -2*z - 4. Suppose -2*y = -z*w + 64, -4*y + 58 = 5*w - y. Calculate the highest common factor of w and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 2*k = -40. Let s = 131 + -74. Calculate the remainder when s is divided by k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 642883 to the power of 1\/2, to the nearest integer?\nAnswer: 802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1911 = -19*x + 13194. Does 15 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5\/(-543))\/(65\/1125). Let l = -1\/181 - d. Which is the third biggest value? (a) -3 (b) l (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 5*b - 62, -5*s - 2*b + 364 = -0*s. Calculate the remainder when 717 is divided by s.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121400618 to the power of 1\/2, to the nearest integer?\nAnswer: 11018","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 - 2 - (-56 - -77)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -13*h. Let t(d) = 13*d. What is t(v(q))?\nAnswer: -169*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3912803 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + r + r)*(11 + 9 - 5).\nAnswer: 45*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -9879*n + 1373. What are the prime factors of g(-4)?\nAnswer: 31, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 7 = -9, -104 = -4*k - 3*h. What is the remainder when k is divided by (10 - 0)\/((-5)\/15*-2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27 by 59485.\nAnswer: 27\/59485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12751 - 12751 - 2*z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.5, -1\/4, -2, 176\/53, -0.6, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(77)\/sqrt(7) + sqrt(11) - (-2 + (sqrt(11)*1)**2)) + ((1 + sqrt(11))*6 - (4*sqrt(22)\/sqrt(2))**2).\nAnswer: -176 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 + 5*r - 2. Let x be z(-6). Suppose 4*o - 40 = x. Suppose 0 = 3*m - o - 13. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 2*x + 3. Suppose 0 = -3*n - 3*m + 6*m - 12, 0 = -5*n + x*m - 12. Solve n*u = 2*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.07 (b) -5 (c) 0.3 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16571 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*s - 5*s - 14*s + 0*s.\nAnswer: -33*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 3:34 AM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -381970 or -381979?\nAnswer: -381979","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 121415 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)\/(sqrt(96)\/sqrt(12) - sqrt(2)))\/(sqrt(180)\/sqrt(20)).\nAnswer: 2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a kilometer in centimeters?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -22*u - 26. Let g(k) = 7*k + 9. Let d(y) = 8*g(y) + 3*x(y). Let h(q) = q + 1. Let o(p) = p**2 - 6*p - 6. Let z be o(7). Determine z*d(c) + 8*h(c).\nAnswer: -2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/9*1)\/(2\/(-12)). Let k(p) = -81*p**3 - 7*p**g - p**2 + 156*p**3 - 9*p - 76*p**3 + 2. Suppose -6*l - 41 = -l + 2*u, -4*u = 2*l + 26. What is k(l)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 - 9*z**2 - 9*z - 12. Let f be m(-8). Let s = f - -9. Suppose 3*x - 5*o + 19 = 0, -3*x + s*x + 1 = o. Is x a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of x**6\/120 + x**5\/10 + x**4\/6 - x**3\/2 - 38*x**2. Let u = 1 - -19. Suppose 3*t = i + u, -5*i - 5 = -0*t + 4*t. What is f(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 - 10*l**2 + 9*l + 8. What is the remainder when (10\/8)\/((-35)\/(-1960)) is divided by a(9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 c when two letters picked without replacement from {t: 1, e: 1, c: 3, o: 6, x: 1, i: 1}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 46\/(-2392)*16\/2. Sort h, 4, -0.5, -0.063 in increasing order.\nAnswer: -0.5, h, -0.063, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8\/(-36) - (-1410)\/27.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 388\/3 + ((-26)\/6 - -4). Find the first derivative of 17 + 367*q**2 - 156*q**2 - x*q**2 - 142*q**2 wrt q.\nAnswer: -120*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d be 35121\/(-17559) + 8\/4. Let x = -286807\/58530 - d. What is the common denominator of x and 21\/16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h + 10*h + 17*h + 50 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(208) + -2 - (sqrt(208) - (3 + sqrt(208) + 1)))**2 - ((sqrt(208) + sqrt(208) + 4)*-6 + 5).\nAnswer: 64*sqrt(13) + 231","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -58593*u**3 - 6*u**2 + 2*u - 1360.\nAnswer: -351558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 54\/10 + (-3)\/(-30)*-4. Let i = 46 + s. What is the remainder when i is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from qqeeqqeeqqqqqqqeqqq?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = 12*d + 17. Let m(a) = -a**2 - 15*a - 9. Let z(l) = -l**2 - 14*l - 10. Let u(b) = -4*m(b) + 5*z(b). What are the prime factors of u(d)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 174162 and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -2\/11 (b) -23 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.31 * 833\nAnswer: 258.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q*q**(-1\/28)*q*q))*q)\/q*q\/(q\/((q*q\/q**(-8))\/q))*(q\/(q*q\/q**(-6\/13)))**(-11) assuming q is positive.\nAnswer: q**(10207\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 times 30996?\nAnswer: -867888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(567) + 1 - sqrt(567)) + -1 + -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 0*o - 2*o)*(4 - 3 - 4)*(4 - 2 - 1)*(5 - 4 + 0).\nAnswer: 9*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 4 = -0*s. Solve -2 = -s*v - 6 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12886 + 6407 = 209*b for b.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 21, -8, 19?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)\/(sqrt(9)*2) - (sqrt(2736) + 3 - sqrt(2736)).\nAnswer: -3 + sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*b**2\/2 - 452923*b\/2 - 16775.\nAnswer: (b - 16775)*(27*b + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 1 - (-53)\/11.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 368 and 278576?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36*k**2*n**2*r + 38*k**2*n*r - 34*k**2*n + 32*k*n**2*r wrt n.\nAnswer: 72*k**2*r + 64*k*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1404985 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3020978*c*r**2 - 18*c*r - 7*c + 280*r wrt r.\nAnswer: -6041956*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 + -64\/3. What is the closest to s in -4, 4, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.1044 - 0.1044. Let s = -1982\/11 + 180. Let n = 0.2 + 0. What is the closest to -1\/4 in n, x, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 205, 649, 1327, 2239, 3385?\n\"Answer: 117*r**2 + 93*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -1244*t - 62 + 4*t**3 - 3*t**3 - 1244*t + 2486*t as l + h*t**3 + g*t**2 + f*t and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38684486?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 6 = -3*g + 3*q, 2*q - 13 = -3*g. Determine b so that -191*b**2 - 3*b**4 - 3 - g*b**5 + 3*b**3 + 194*b**2 + 3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -57*m**2 - 5*m + 39. Let w(v) = -56*v**2 - 4*v + 40. Let x(p) = -3*f(p) + 4*w(p). Differentiate x(q) wrt q.\nAnswer: -106*q - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*b**4 - 2*b**3 - 4\/3 + 2\/3*b**2 + 2*b.\nAnswer: 2*(b - 2)*(b - 1)**2*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 60*j**4 - 3848*j**3 + 12340*j**2 - 10984*j + 2432 = 0?\nAnswer: 1\/3, 1, 2, 304\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of -r**6\/40 + r**5\/20 + r**4\/4 - 14*r**2. Suppose f(z) = 0. What is z?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11\/5, 145, -114, -3 in descending order.\nAnswer: 145, -11\/5, -3, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (42*b - 17*b + 159*b)*(28*b - 7*b - 8*b)*(3 + 1 - 5).\nAnswer: -2392*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 301.9 + -301.77536. Round c to 2 dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of -s**4\/20 + 2*s**3\/15 + 7*s**2\/10 + 4*s\/5 - 89. Factor i(w).\nAnswer: -(w - 4)*(w + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -631*c + 179037 = -282*c. Solve -161*w = -218*w + c for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 1:55 PM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 127, 116, 103, 88, 71, 52, 31?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -29171232 divided by 9723744\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**3 - 45*w**2 + 380*w + 420.\nAnswer: -5*(w - 6)*(w + 1)*(w + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4043.\nAnswer: 13, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 65 + -5?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2381 and (-1380)\/(-80) + -14 + (-2)\/8.\nAnswer: 7143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 791 + -28559\/36. Let u = 4049\/1640 + -59\/410. Calculate the common denominator of u and a.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 - 5*s + 6. Let a(o) = -o**3 - 4*o**2 - 2*o + 3. Let h be a(-3). Suppose h*k - 12 = k. Let i be (-4 - 0)*(-15)\/k. Calculate t(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-13) + 12744\/(-16848)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20951*b + 2*j = -20945*b - 42, -b + j = -5 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 23 + 31 = 0. Suppose -3*c - 6 = -z + 2, z - 16 = c. What is the least common multiple of j and z?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.32 and -398.\nAnswer: -127.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -76345, -76344, -76343, -76342, -76341?\n\"Answer: n - 76346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-30)\/4*((-88)\/10 - -9). Which is the third smallest value? (a) q (b) 1\/11 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -24. Let d be (-214)\/1819 + ((-8)\/(-34))\/2. Suppose d = -3*c - 5*m + 157, c - m - 39 - u = 0. Calculate the highest common divisor of 18 and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(1029)*-2 + sqrt(1029))\/((sqrt(144)\/(sqrt(18)\/sqrt(3)))\/sqrt(8)).\nAnswer: -35*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 5*q**3 - 4*q**2 + 4*q + 4. Let u(m) = -9*m**3 + 7*m**2 - 7*m - 7. Let h be 4*25\/30*90\/75. What is h*u(i) + 7*w(i)?\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -10603 divided by -4\nAnswer: 10603\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 5*t + 18 - 3 = 0, -f - 4*t + 5 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 6020*k - 69. Is h(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135 - 128 + 260 - 127 - 583*l**2 + 130.\nAnswer: -583*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-84) - 18\/(-63)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1338468*b**4 - 116*b**3*y + 2*b**2*y + 26653*y + 2138 wrt b.\nAnswer: -32123232*b - 696*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/1 - 0) + -2. Let x be 0*(-1 - u - -1). Suppose -12*h + 159 - 207 = 0. Put h, 5, x in decreasing order.\nAnswer: 5, x, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-8))\/(-12)*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 918*b - 527*b = -2324*b - 37749 - 70851 for b.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/13535 + 67682\/94745. Put 5, -0.3, 12, d, 3 in descending order.\nAnswer: 12, 5, 3, d, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2506522?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 - 10*c**2 - c - 10. Let v be u(-10). Suppose v = 9*r - 4*r - 15. Solve 0*n + 3*n - 17 = -b, 3*b + r*n = 21 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in 3\/7, 1, -0.5, 3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 12 = -3*q. Let m = q - -1. Let g(s) = -7*s + 4. Let k(j) = 10*j - 6. Let w(c) = -7*g(c) - 5*k(c). Calculate w(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in 1\/71, 2, -7\/6, -1\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(152)*-1*-4)\/(sqrt(40)\/sqrt(125) - sqrt(8) - (sqrt(8) - sqrt(16)\/(sqrt(8)\/sqrt(4)))).\nAnswer: -30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -0.08.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26*-136.474.\nAnswer: 3548.324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -226*s**5\/3 - 2474*s**4\/9 - 2894*s**3\/9 - 1078*s**2\/9 + 20*s\/9 = 0.\nAnswer: -5\/3, -1, 0, 2\/113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -274293545, -548587090, -822880635, -1097174180, -1371467725, -1645761270?\nAnswer: -1920054815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-9*140\/294)?\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -400, -491, -562, -613, -644, -655?\n\"Answer: 10*y**2 - 121*y - 289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 19805*v - 930841. Determine w(47).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 29.15\nAnswer: -8.745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -26*y**3 + 3*y**2 + 32*y. Let h(x) = -52*x**3 + 7*x**2 + 65*x. Calculate 4*h(o) - 9*m(o).\nAnswer: 26*o**3 + o**2 - 28*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -101*z**3 - 69*z**2 + 4*z. Let v(q) = 99*q**3 + 68*q**2 - 3*q. Let b(y) = 3*f(y) + 4*v(y). Find the third derivative of b(p) wrt p.\nAnswer: 558","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215534577 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2\/7 + 175596*h\/7 - 2569496268\/7.\nAnswer: -3*(h - 29266)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/(482328\/276727) - (9 - -3) and 31\/9.\nAnswer: 2088","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*x**4 - 19*x**4 + 28*x**4 + (3*x - 3*x - 2*x**2)*(-2*x + 2*x**2 + 2*x) - 2*x + 2*x - x**4 to r + z*x**2 + k*x**3 + p*x + g*x**4 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 256\/6 - -3*(-4)\/18. Suppose 6*p + l = 13*p. Solve 16 = 2*u - p*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1445?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000657 to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 0.01, -5\/3, 12 in decreasing order.\nAnswer: 12, 0.01, -0.2, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1466 - 0.0623. Let v = -1.412 - -1.5. Let n = v - a. Round n to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/3, 2\/9, 10\/11, -2\/5, 0.3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 5*w - 45, 3*w + 2 - 7 = 5*b. Let v = b + 6. What is the third derivative of 3*f**3 - f**v + f**2 + 2*f**2 - 5*f**3 wrt f?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -24247765474 and 87.43.\nAnswer: -24247765386.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**5 - 55342*n**4 + 775042*n**3 - 3820258*n**2 + 7530160*n - 4429600 = 0. Calculate n.\nAnswer: -27685, 1, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of 19*a**6\/120 + a**4\/24 - a**3\/6 + a**2. List the prime factors of x(1).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in eighteen fifths of a kilogram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1886)\/69*(270\/(-990))\/((-3)\/((-165)\/(-10)))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 4*y**2 + 104\/5*y - 96\/5 = 0?\nAnswer: -6, 4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 87317?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.32053 times -0.07\nAnswer: -0.0224371","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -525071588.2 and 0.04.\nAnswer: -525071588.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**20)**(-3\/28)*p*p**(-34)*p*p\/p**(-7\/3) assuming p is positive.\nAnswer: p**(-647\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -3\/4*m**4 + 0 - 9\/2*m**3 - 9\/2*m - 33\/4*m**2 = 0. Calculate m.\nAnswer: -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 3*l = 2*v + 692, 2*l - 360 = -v. Solve z - 354 + v = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 4*h = 1024 + 11766, -b - 4*h = -4274. Suppose 3*i - b = -409. Let u = 2542 - i. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -9*s**3 - s**2 + 12*s + 23. Is k(-18) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*l - 1305 = -36*l. Suppose 0 = -10*p + 5*p + l. Is 16 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 969567011 to the power of 1\/2, to the nearest integer?\nAnswer: 31138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -2 - 0 - -2 - -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence figc when four letters picked without replacement from ccgjghchfcjic?\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -108.8 + 109. What is the closest to 4 in -2\/17, 10, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -97, 78, 11, 1, 2, 5 in ascending order.\nAnswer: -97, 1, 2, 4, 5, 11, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -15*q**3 + 994*q**2 - 2*q - 10. Let p(k) = 17*k**3 - 995*k**2 + 2*k + 11. Give 8*n(r) + 7*p(r).\nAnswer: -r**3 + 987*r**2 - 2*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -306850, -306845, -306840?\nAnswer: -306835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3620\/157 or 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -84 (b) -1 (c) -0.5 (d) 0.5 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -334\/53, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (-78)\/(-27))\/(-16 + 14)\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1339 + 2269. Is s a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 574212*y**3 + 4397*y - 7 wrt y.\nAnswer: 3445272*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + n + 31, 2*n - 1 = -q + 7*n. Calculate the smallest common multiple of q and 9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppqy when four letters picked without replacement from {l: 2, q: 1, y: 1, p: 2, w: 3, u: 3}?\nAnswer: 1\/5940","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eoeeeobbbooov. What is prob of picking 1 v and 1 b?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 166941704 to the power of 1\/3, to the nearest integer?\nAnswer: 551","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 16*z**2 + 3*z - 16. Let k be l(-13). Is k\/12 - (-4)\/(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12187 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 16*l - 21. Let a(d) = 8*d - 11. Let r(j) = 7*a(j) - 4*k(j). Let f(q) = -15*q + 13. Determine -6*f(o) + 11*r(o).\nAnswer: 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 648103 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 + 8*n**2 - 9*n - 11. What is h(7)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 20, -488, -1334, -2518, -4040?\n\"Answer: -169*s**2 - s + 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5*(-1)\/((-5)\/3). Suppose n = -4*d + 326, -c*n + 669 + 276 = d. Suppose -3*l = -n - 85. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**5\/5 + 6*p**4\/5 + p**3\/5 - 6*p**2\/5 = 0. What is p?\nAnswer: -1, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, 1\/5, 0.3, 0.5, 37\/10?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(6\/8)*180\/(-120). Solve 0 = 7*z - 10*z + x for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of 2*w**2 + 1. Let j be (3 - 6) + 4 + -2. What is o(j)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11001000010001111101 (base 2) to base 3.\nAnswer: 1112200022022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -136721, -273445, -410169, -546893?\nAnswer: -683617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of -u**6\/6 + 33*u**4\/4 + u**3\/3 - 1957*u**2\/2 - 3276. What is the third derivative of v(c) wrt c?\nAnswer: -60*c**2 + 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -45*o. Let a(m) = -226*m. What is 2*a(h) - 11*n(h)?\nAnswer: 43*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 64271 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 + 11. Let w = 5.5 + v. What is the nearest to -3\/2 in w, 3, 2\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -3*s**2 + 2439*s - 9708 = 0.\nAnswer: 4, 809","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-9) - (-992)\/(-1209).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbi when three letters picked without replacement from pqiqmpqmwpqbqbqqmqip.\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15896772)\/(-201480) - (11\/(-10) - -1).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 110055.8 millilitres?\nAnswer: 110.0558","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 0 + 3*t - 1 + 0. Let s be w(1). Suppose 2*c + s*y = 12, c - y = -4*y + 8. Solve 4*z = c*x - 10, 5*x + 3*z = -0*z + 10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(1\/(-5) + (-2 - -2)). Let g be (-6)\/((-6)\/2 - -2). Sort 0, f, g, 3 in ascending order.\nAnswer: 0, 3, f, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 40*t**3 + t + 1. Determine w(-1).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 288.00009s to days.\nAnswer: 0.003333334375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = 4*x + 11, 2646 = -2*u + 2*x + 2652 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*f = 25*f + 57*s - 20, -4*s = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -18*z - 3129. Let v(w) = 5*w + 219. Determine v(y(q)).\nAnswer: -90*q - 15426","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -18 (c) 0.2 (d) 4 (e) 35450 (f) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4158 and 2113056?\nAnswer: 44374176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -28 - (-4 + -12)) + -15?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2, -12, -52, -130, -258, -448, -712?\n\"Answer: -2*g**3 - g**2 + 3*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -115 - -562. List the prime factors of j.\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-q**2 + 0*q + 0*q + (5*q + 0*q - 4*q)*(0*q + 3*q + 2*q) + 2*q - 2*q - 2*q**2)*(0*q + q + 0*q) to t + o*q + r*q**3 + v*q**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 78 and 33?\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = b - 9. Suppose -2*a - u - u + 10 = 0, -a = b*u - 7. Solve 2*z = a + 4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -5590450 and 3.\nAnswer: -5590447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6375 is divided by 77.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11191 is divided by 130.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 68*s**2 - 2992*s - 3. Let d be c(44). Sort -556, 2, d in descending order.\nAnswer: 2, d, -556","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-3))**29)**(-1\/10)*(s**(2\/7)*s*s\/(s*s**(5\/2)*s*s*s))**(-8) assuming s is positive.\nAnswer: s**(2969\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*-2*sqrt(130) + sqrt(130))*3)\/(-3*sqrt(70)\/sqrt(7)*-3).\nAnswer: -7*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/20 - 39\/(-12). Suppose 4*g = r + 13. Suppose 0 = -2*b + 5*k + 81, 4*b + g*k + 23 - 227 = 0. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136.8204 rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 115*a**3*g**2 - 2130*a**3*g - a*g**2 - 2*g**2 wrt g.\nAnswer: 230*a**3 - 2*a - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 6*a + 0 - 2 + 10*a. Let u be w(-1). Let x = 16 + u. Let s(g) = -g**2 - 2*g - 3. Determine s(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-1 + 0 + sqrt(720))**2 + (sqrt(720)*-2*6 - sqrt(720))**2 + sqrt(720) + (sqrt(180)\/sqrt(192))\/((3*sqrt(9))\/sqrt(3)).\nAnswer: -143*sqrt(5)\/12 + 122398","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -390*g**4 - 319 wrt g.\nAnswer: -1560*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 192*w - 582. Let x be z(3). Which is smaller: -408 or x?\nAnswer: -408","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.133 + 65.333. Let n = z + 13.8. Let c = 78.976 - n. What is c rounded to 3 decimal places?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 52 = 4*i, 0 = 8*i - 4*i - 5*v - 50. Let s be 16*3\/i*-3. Let n(z) = -z - 4. Let j be n(6). Is s equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 PM and 11:08 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jyy. What is prob of picking 2 y?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 7*q - 92. Give y(19).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 216 - 208. Which is greater: 10 or f?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - -1 - 4) + 3. Suppose 3 + r = 5*l. Let g(p) = 3*p + 2*p + p + l + p**2. Determine g(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w - 2. Let o be 1\/4 - (-425)\/(-100). What is t(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-84*f**2 + 170*f**2 - 85*f**2 - 14*f**3)*(10 - 1 + 12) to j*f**2 + n + d*f + b*f**3 and give b.\nAnswer: -294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -20, -5, -2, -14, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 - 87 = -3*n. Suppose 0 = 2*p - 7*p + 45. Calculate the highest common divisor of n and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 271 - -906. Let p = a + -359. List the prime factors of p.\nAnswer: 2, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 60 - 57. Suppose 201 = -5*f + 4*l, -5*f + l - 83 = 121. Let b = 42 + f. Solve -b = t*o - 2*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6750, 6388, 5416, 3528, 418, -4220, -10692, -19304?\nAnswer: -30362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 + 3038\/(-372)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.9 + -2. Suppose 3*y + 4 = -g - 2, -3*g - 3*y = 0. Which is the nearest to p? (a) 3\/4 (b) g (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -12*t**4 + 2*t**2 - 2*t - 7. Let u(m) = 60*m**4 - 11*m**2 + 11*m + 34. Let r(w) = 11*o(w) + 2*u(w). Differentiate r(s) with respect to s.\nAnswer: -48*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 352 = -3*x + 22. Let i = x - -113. Suppose 3*g = 4*v - v + 15, 0 = -i*g + 5*v + 15. Calculate the highest common factor of 35 and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -68, 6, 42, -4176.\nAnswer: -4176, -68, -1, 6, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 = -2*w + 301. Suppose -10 = -0*a - a. What is the lowest common multiple of 20\/w - 1668\/(-38) and a?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (54 - 2*j - 54)*((-50 - 7 + 15)*(-j + 0*j - 2*j) - j + 0*j + 3*j).\nAnswer: -256*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-224)\/(-480)*(-18)\/(-28)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*d - 744 - 2914 = -690. Solve -d*k + 0*k + 424 = 0 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - 5) + 13 + (-4 - (1 - -3))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/8*(-149)\/(9685\/(-16120))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2 + 0*k**2 + 8*k - 3*k**2 - 4*k**3.\nAnswer: -4*k*(k - 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 1 - 1)*(3 - 1 - 1) - 4 + 2 + 3 - 4 - 2 + 1)*(1 - 3 + 1)*(0*f**2 + 2*f**2 - 4*f**2).\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13*q - q - q)*(3 + 2*q - 3)*(-3*q + 10*q + 21*q) to the form w + b*q**2 + s*q**3 + t*q and give s.\nAnswer: 616","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1261034 or -1260991?\nAnswer: -1260991","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -294426, -294429, -294434, -294441, -294450?\n\"Answer: -w**2 - 294425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 0)*(-17 - -21)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 21*a**3 + a**2 - 1. Let v be k(-1). Let b be v\/14*(-452)\/3. Suppose 0 = 5*g - 4*g - b. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14241 = -740*z + 16099 for z.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 7:06 PM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 194 a factor of 1535898?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 865548*h**2 + 4 + 432773*h**2 + 432778*h**2.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 1264 to the nearest 100.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 10. Let f be (2 - x)*(-5)\/(-10). Suppose -2*t = 5*a - 29 + f, 5*t + 4*a = 87. What are the prime factors of t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 105.1929 meters to centimeters.\nAnswer: 10519.29","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 627624365 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107604151.\nAnswer: 53, 2030267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 - t**2 - t + 1. Let d(s) = -12*s**3 + 14*s**2 + 14*s - 14. Determine -4*d(c) - 56*k(c).\nAnswer: -8*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 280235 and 237185.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1538 is divided by 509.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -113a + 821b?\nAnswer: 70b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 6, g: 7}. What is prob of picking 2 l?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 16791527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 4*w + 17 = 0, -2*t + 40*w = 36*w + 18 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8.5708 + 2.4562. Let u = m + -11. Round u to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6870 and 10.\nAnswer: 6870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00054 to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(15) - (sqrt(120) + sqrt(120)*-1 + sqrt(120))\/sqrt(8))*4)\/((sqrt(36) - (sqrt(36) + (sqrt(288) - 2*sqrt(288))\/sqrt(8)))\/sqrt(12)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k, b - 4*b - 2*k = 936. Let w = 525 + b. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1722284987 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + 2*c - 5660, 0 = -4*n + 4*c + 1953 + 2575. List the prime factors of n.\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-319)\/(-174) + -2)*(-4 - 0). Find o such that 1\/2*o**4 + 2\/3 + 2\/3*o - t*o**3 - 7\/6*o**2 = 0.\nAnswer: -1, -2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 + 5*g**2 + 2*g - 4. Suppose 20 = -3*k - 2*k. Let u be p(k). Solve u*i - i + 2*r = 5, r - 3 = -2*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**3 - 2*f**3 - 4*f**5 + (4*f - 5*f + 3*f)*(-2*f**4 - 2*f**4 + 2*f**4) + 3*f - 2*f**5 - 3*f.\nAnswer: -10*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of r**3 + 8328*r**2 + 1499*r - 295866?\nAnswer: 3*r**2 + 16656*r + 1499","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 4:40 PM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - 2*q - 3*q)*(3 + 2 - 3) + 40*q + 74 - 74.\nAnswer: 36*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - -48?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**2 - 7*h**3 + h**2 - 25*h**3.\nAnswer: -32*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 4 - 10 + 23 + 3*s**3.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 - 9*k - 4. Let y be j(9). Let b be ((-12)\/(-18))\/(y\/(-642)). Suppose 2*t = 2*o - 0 - 42, 4*t = 5*o - b. Does 23 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.53 and 0.225.\nAnswer: -0.305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-39 + -28) - (3 - -20)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 553785 to the power of 1\/4, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -11*l. Let s(v) = -870*v**2 + 0 + 880*v**2 + 0. Determine s(z(q)).\nAnswer: 1210*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -7054.\nAnswer: -3\/3527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.5 (b) 14\/9 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -26653976, -26653979, -26653984, -26653991, -26654000, -26654011?\n\"Answer: -i**2 - 26653975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 177680.6289 + -177691. Let y = 0.0211 + m. Let g = 0.65 - y. Which is the third smallest value? (a) -3 (b) g (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46855 is divided by 11712?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -65*o**3*p - 2*o**3 + p**2*x - 3*p*x**3 - 48*x**3 + 2*x with respect to p.\nAnswer: -65*o**3 + 2*p*x - 3*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 3*w**2 - 6*w - 8. Let u = -161 - -48. Let x = -67 - u. Calculate the remainder when x is divided by q(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from uuuuupuuuuuupuuupupu.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 360 and 340515?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 64, -3, 3, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3*k + 3*k - 79 + 104. Let g be x(-5). Let i(u) = -u**2 - 6*u - 6. Calculate i(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18325800659 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15170123 + -7355794. Suppose 17657316 = -2*x + 6*x. Let a = x - s. Round a to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31, -1553, -3073, -4591, -6107, -7621?\nAnswer: -9133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.37243 minus -263.6?\nAnswer: 289.97243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 8, -4, 18, -130 in descending order.\nAnswer: 18, 8, -1, -4, -130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(3) + (sqrt(3)*-2)**2 + (sqrt(33)\/(sqrt(11) + sqrt(11)*-3))**2.\nAnswer: sqrt(3) + 59\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -403 greater than -397?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of -5 + 9 - (-2 + -1) and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 173939 and 562.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 184293 and 2825826?\nAnswer: 8477478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 258251183 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/10199898 and 4\/99999?\nAnswer: 10199898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 2*m - 32 = -2*m, 0 = 2*x + 5*m - 4. What is the lowest common multiple of x and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**2 - 9*p - 12. Calculate d(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2440356284.0003588 + -2440357252. Let x = r - -968. What is x rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154619 to the power of 1\/2, to the nearest integer?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0721211 millilitres to litres.\nAnswer: 0.0000721211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12327 * -730.\nAnswer: -8998710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 AM and 8:16 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -39300 + 7549674. Suppose 289626 = 2*j - c. Round j to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nwwt when four letters picked without replacement from {k: 1, w: 5, n: 2, t: 1, s: 1}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46 + -34 + 18 - 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15111 + -14044. Solve z = -1071 + f for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/2 + -146 + 112 + 54?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + y + 0*y)*(-2*y**2 + 5*y**2 - 2*y**2 + (15*y**2 - 28*y + 28*y)*(-6 + 2 + 1)).\nAnswer: 44*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = 2*h + m, -5*h - 4*m = 23057 - 22981 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -109 + 109.355. Let v = x + 0.045. Let p = -6.8 + -0.2. What is the third smallest value in 1, p, v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence amj when three letters picked without replacement from {z: 2, a: 4, d: 3, j: 1, m: 1, v: 1}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -5*o + 4*o + 156985, -5*o = z - 784981. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 6 - 13. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/10)\/(32\/(-384))*-5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 25597491*t**3 + 28635736 wrt t.\nAnswer: 76792473*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p + 3*p - p + 3*p.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6131.596l to millilitres.\nAnswer: 6131596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b83 - -2?\nAnswer: b85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -14*((-5)\/2 - -2). Let h(b) be the first derivative of b**4\/4 - 7*b**3\/3 + b**2 - 7*b - 16. Is 4 a factor of h(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -479.09, -2, -2\/81?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -88*a**3 - 526*a**2 + 25*a + 90. What is g(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -3*f. Let v(m) = 347885*m. Calculate v(g(y)).\nAnswer: -1043655*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 13, -5, -2 in descending order.\nAnswer: 13, -2, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w - 2*l + 5, 5*w = 4*l - 29 + 16 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -19*h - 8 - 2 + 10. Let s(b) = -248*b. Let m(v) = -40*k(v) + 3*s(v). Let u(a) = -a. Let x(q) = -m(q) - 20*u(q). Let l(j) = 5*j**2. Give l(x(i)).\nAnswer: 80*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 9*z. Suppose 0*x - 3*x = z. Solve 0 = -x*d + d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 262*a**2 - 3*a + 1. Let c be m(2). Determine s, given that c*s**2 - 6 - 3*s**3 + 2*s - 1037*s**2 + s = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 2*j + 414, 213 = -0*t + 2*t - 5*j. Is 8 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 AM and 2:02 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21.2 - -4.2. Let i = -0.95 + -17.05. Let z = i - k. Which is the nearest to z? (a) -2\/3 (b) -0.2 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41290 (base 12) to base 13\nAnswer: -2c949","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of 0 + 1\/140*o**5 + 1\/42*o**4 - 8*o - 1\/3*o**3 + 1\/1260*o**6 + 0*o**2. Let d(t) be the second derivative of k(t). Factor d(n).\nAnswer: 2*(n + 1)*(n + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43747 (base 10) in base 12?\nAnswer: -21397","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.08? (a) -0.4 (b) 0.1 (c) -1.4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -14*m + 5517. Suppose 33*u - 34*u + m = 0. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -498 = 2*m + 3108. Let o = -1211 - m. Is o a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -724, 232, 1822, 4040, 6880, 10336, 14402?\n\"Answer: -k**3 + 323*k**2 - 6*k - 1040","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -11 (b) -4 (c) 4 (d) 1.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -18*l - 7. Let o(p) = -17*p - 7. What is 4*o(b) - 3*v(b)?\nAnswer: -14*b - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of o**2\/2 + o - 2. Let r(h) = h**2 - h - 1. Let k(p) = 2*b(p) + 2*r(p). Let z(x) = -3*x. What is z(k(y))?\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 524*c**6*z**2 + 2*c**6*z - 3*c**2*z - 11*z**2 wrt c?\nAnswer: 62880*c**3*z**2 + 240*c**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165197 is divided by 20619.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express h + 5*h**2 + 191 + 21*h**2 - 13*h**2 - 18*h**2 + 688 in the form n*h**2 + i + g*h and give i.\nAnswer: 879","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189983.\nAnswer: 189983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 249.\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1011 + -13313020?\nAnswer: -13312003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*y + 17*y - 7*y + 0*y**3 + 2*y**3 in the form r*y**3 + k*y**2 + v*y + g and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 10 = -3*h, -4*x - 40*h + 30*h - 34 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of -107*z**2\/2 + 5. Is t(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 - -20. Suppose -b - 225 = -8*j. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-178)\/(-89))\/(3 - -3*20\/(-21))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21581 + -21580.999993769. Round c to 7 decimal places.\nAnswer: 0.0000062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = -4*b + 65, 4*o - 5 = -b. Find the third derivative of -2*r - 4*r + 74*r**o + 7*r**3 + 3*r + 2*r - 23*r**2 wrt r.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2478.\nAnswer: 2, 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 371314 (base 9) in base 2?\nAnswer: 110110101100111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 900 is divided by 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -39212, -313563, -1058216, -2508323, -4899036?\n\"Answer: -39192*b**3 + b**2 - 10*b - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*s = 24 + 40. Solve -5*q - 1 = -s*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kqxqbkzkzxkbk. What is prob of picking 1 k and 1 b?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2702, -8210, -16524, -27644?\nAnswer: -41570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 23 = -5*p, 717*p - 72 = 715*p - 5*z for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 40573 + -54?\nAnswer: 40517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2.1, -0.024, 5, -7\/13?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 30, 128, 380, 864, 1658, 2840, 4488, 6680?\n\"Answer: 13*v**3 - v**2 + 10*v + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -332, -668, -1004, -1340, -1676?\nAnswer: -2012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by -160448.\nAnswer: 9\/160448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -16.4 and -922.\nAnswer: 15120.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 561668715?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 10:13 AM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*j**2 + 27*j**2 - 5*j**3 - 2*j + 0*j**3 to the form n + a*j**2 + p*j**3 + y*j and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 785 and 39407.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 478983.3 litres in millilitres?\nAnswer: 478983300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*s = -269 - 46 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -490\/3733 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -5, 2\/9, -4\/3, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2046 and 4422?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 913998 is divided by 7960.\nAnswer: 6558","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -15*a**2 - 1016*a - 326. Calculate i(-67).\nAnswer: 411","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2082651, -4165283, -6247917, -8330553, -10413191, -12495831?\n\"Answer: -y**2 - 2082629*y - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1957675\/67 - -29219. Which is the closest to 2? (a) -3 (b) g (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 10:47 PM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = 11*z - 64. Suppose -z*w + 124 + 56 = 0. What is the remainder when 56 is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.6, 1\/2, -2, 510?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12153 (base 8) in base 6?\nAnswer: 40111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1108780 or 14414141\/13?\nAnswer: 1108780","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2050 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b**2 - 1402126 - b**2 + b**3 + 1402126.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 - 0)\/33*-2. Is 0.2 <= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*a + 6*a + 621 = 0. Calculate the remainder when a is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) 1\/5 (c) 3 (d) -2 (e) -7285\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (350\/(-70))\/((900\/(-444))\/15)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 8. Suppose -45 = -l*j - 0*j. Solve 2*f - j + 1 = 2*c, f + 11 = -5*c for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18041 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -4) + 2 + 0 + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -133\/3 or 1.652?\nAnswer: 1.652","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.429 - 82.671. Let z = l - -84. What is the third biggest value in 4, z, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3 + 4922*p**2 + 9858*p - 14778.\nAnswer: -2*(p - 2463)*(p - 1)*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -88 - -90. Let v(w) = w**2 - 5*w - 1. Let z be v(6). Let r = 20 + 1. Solve -c + 3*q = 0, -z*c = -s*q - 8 + r for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 859758?\nAnswer: 2, 3, 17, 8429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -11194 times 0.02\nAnswer: -223.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 AM and 8:23 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*a**2 - a**2 - 36*a**2 - 19*a**2 - 2*a + 26*a**2 - 33*a**2.\nAnswer: -100*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 3*o = -k + 61, -5*k = -4*o - 65. Let b be (11 + -1)\/((-3)\/o). What are the prime factors of (b\/15)\/((-2)\/(-6))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -73. Suppose 4*z + 95 = 5*y, -4*y - 8 = -z - w. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 293707039 a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4107 + -4099. Solve -20 = -5*i + 2*h, 2*i - r = -4*h + 2*h for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m. Let d(i) = -i + 2. Let s be d(2). Let j(l) = s*l - 3*l + 0*l + 2*l. What is j(n(h))?\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + n - 25 = 18, 0 = o - 3*n - 63. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f**2 + 136138*f - 2*f**2 - 2 - 461047*f.\nAnswer: -5*f**2 - 324909*f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 5549*c - 44428. Calculate p(8).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**2 - 45*u - 20*u**3 + 35*u + 4*u + (-2*u - 2 + 2)*(u**2 - 4*u**2 + u**2) - 2*u**3 + 4*u**2 - 4*u**2.\nAnswer: -18*u**3 + u**2 - 6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8170 (base 11) in base 14?\nAnswer: 3d4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = w + 525, 2*v - 3*w = -v + 315. Calculate the highest common factor of v and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -1\/8 (b) 2\/3 (c) 1 (d) -1722\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 133357 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 234599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2*r = 3*m - 3, 4*m = 2*r + 4. Let t(x) = x - 2. Let d be t(4). Suppose 0 = -d*z + 5*w - r + 4, 2*z = -w + 28. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 2*b = 5*v - 31, -4*v + 20 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2947 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 4:52 AM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -362 + 4*d**3 + 362.\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 11:28 AM?\nAnswer: 2:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 597823 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -178, -355, -532, -709?\n\"Answer: -177*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12412443 + -256?\nAnswer: -12413032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 288 + 284 = 4*z, 2*w + 14 = -2*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4.127367528 and 74574.\nAnswer: 74569.872632472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1041 - -1312. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2061609751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/9 of a week?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(325) - (sqrt(325) - ((sqrt(325) - -1*sqrt(325)) + -1))**2).\nAnswer: -327 + 15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - n = 4*b + 58, -b - 2*n + 31 = 0. Let t be ((-10)\/15)\/((-2)\/b). What is the greatest common factor of 49 and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 6704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s\/(s*s**(-14))))\/(s*s**3\/s))\/((s\/(((s\/(s\/s**12))\/s)\/s))\/(s*s**(-13)\/s)) assuming s is positive.\nAnswer: s**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5\/8, -0.1, 0.5, 2, -0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 AM and 1:14 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 238\/(-14) + (-2590 - 35)\/(-25).\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*v + 123 + 67. What are the prime factors of 20\/8*(-1504)\/v?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -92.7 times -102064?\nAnswer: 9461332.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 5) to base 10.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 - 9*k**2 + 4*k + 6. Give n(-9).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/9)\/(4\/(-6)). Is 13 a factor of (14 + c)*6\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 521 - 119. Suppose 82 + k = 4*m. Suppose 0 = 5*x - 2*x - 33. What is the greatest common divisor of m and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18550, 74084, 166614, 296134, 462638, 666120?\nAnswer: 906574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1303 + 1411. What is the highest common divisor of 135 and w?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 4 - (-2 + 0) - -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 13*a**2 - 39. Let c(o) = 1. Let j(l) = -39*c(l) - f(l). Let q(w) be the second derivative of 23*w + 0 + 0*w**2 + 1\/3*w**3. Give j(q(d)).\nAnswer: -52*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-234)\/(-5) - 4)*-5. Let n = -640\/3 - j. Factor -n*z**2 + 1\/3*z + 0 + 1\/3*z**3.\nAnswer: z*(z - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 k when two letters picked without replacement from kknw.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 3*w = 24 - 3, 4*w = -y - 2. Let s = 10 + y. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -2.8. Suppose -n - 3*n = 4*g, -5*n = 4*g - 4. Let s = -5.02 + 0.02. Which is the smallest value? (a) g (b) s (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 533*u - 542*u = -5472. Let s = u - 549. Which is bigger: s or 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -339*v + 333*v + 42 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*r + 2302161 - 701163 = 0. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0, -4, 3, -3\/7, 21?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*v - 38 = 37*v - 4*s, 343 = 3*v + 44*s for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 78 = -h - h, -57 = -h - 5*a. Let g = -114 - -219. Calculate the greatest common factor of h and g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174119 smaller than 174118?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2582617*-0.09.\nAnswer: -232435.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 520\/(-64) - -8 - (-47)\/(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -102 + 102.31. Round s to two dps.\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 11876?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 89, 1, 6, 2, 16, -1 in ascending order.\nAnswer: -1, 1, 2, 6, 16, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -2 + sqrt(1216))**2.\nAnswer: -16*sqrt(19) + 1217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 51 + -25. Let n(u) = -18*u**3 - 30*u + 61*u + 3 - h*u + u**2. Is n(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2257503429001\/192115973140 - -1\/633349362. Let i = -1\/1365 - j. What is the common denominator of i and 29\/15?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -h**2*m**2 - 100*h**2 + 46*m**2 + 3 wrt h.\nAnswer: -2*h*m**2 - 200*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)\/(5*sqrt(2) + sqrt(2)))\/(4*sqrt(4)\/sqrt(2)).\nAnswer: sqrt(17)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1241\/451 - 1\/41. Suppose -22 + 6 = -4*s. Which is greater: s or g?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of o**8\/280 + 13*o**7\/175 + 9*o**6\/100 - 41*o**5\/50 - 31*o**4\/10 - 24*o**3\/5 + 21*o**2 + 17*o. Solve u(a) = 0.\nAnswer: -12, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 4*x**2. Let i(v) = -52*v + 3. Let a(d) = 107*d - 5. Let m(s) = 3*a(s) + 5*i(s). What is u(m(h))?\nAnswer: 14884*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(448) - (sqrt(448) + -1)*3.\nAnswer: -16*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a (base 14) in base 4?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -1530*((-78)\/(-104))\/((-9)\/8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7.1 - 6.868. Let b = -1.662 + g. Let p = -10.67 + b. What is p rounded to the nearest integer?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2677*r + 2677*r - 34*r**2)*(-2 + 0 + 1)*(4*r - 3*r + 2*r).\nAnswer: 102*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m**2 + 2*m**2 + m**3 + 2. Suppose 0 = -2*y + 1 - 9. Let l(t) = t + 2. Let a be l(y). Determine i(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*d - 20. Let w(v) = -v**3 - 8*v**2 - 7*v + 9. Let p be w(d). Let j = -4 + p. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10 or -19?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m + 1. Let u be p(6). Suppose -u*s + 4*s = -3. Let k = -43 + 130\/3. Which is smaller: k or s?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -56 - 267. Let g = 325 + q. Solve -23 = -5*a + 3*l, 0 = -g*a - 3*a + l + 21 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/10*(-10)\/4. What is the second derivative of 5*c - 4*c - p*c**2 - 2*c wrt c?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1065*c - 27818 + 83455 - 27816 - 27821.\nAnswer: -1065*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 173 + -128. Let p be u - 2*(-7)\/(-28). Is 45 not equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 + 14*k - 4. Let s be j(14). Suppose 3*d + b - 11 = -33, -3*d = 2*b + 20. Let c be 4\/(-16) + 22\/d. Sort 1, c, s in increasing order.\nAnswer: s, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -5*s**3 + 605*s**2 = 0.\nAnswer: 0, 121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6386953 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*j, 2*j - 7 = -3*w - 3*j. Suppose w*s + 161 = 13. Let z = -27 - s. Solve 0*p - 2*p = -z for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 599 a factor of 349217?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6832285714 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 - -29. Suppose -2*i + 5*i = 6. Suppose -4 = -i*h + 2. Solve -2*p = 2*k - z, 19 = 2*p + 3*p - h*k for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -6*y + 51. Let u be x(8). Let t be -8*(u\/1)\/(-9)*3. What is the biggest value in t, 1\/4, 1, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30 (base 9) to base 16\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-6)*22*48\/(-16368)?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 72767 (b) 3 (c) -1\/16 (d) -0.4 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*z + 264 = 476 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 667.4754 millimeters in nanometers?\nAnswer: 667475400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 53175.274 and 31.314?\nAnswer: 53143.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -36 - 1a1190?\nAnswer: -1a1206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 20 = 0, -5*u + i = 2827 + 477. Let r = u - -2236. List the prime factors of r.\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 - 17*v - 14. Let y be k(-16). Let l(x) be the second derivative of 0 + y*x - 1\/2*x**3 + 2*x**2. What is the derivative of l(u) wrt u?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31271540955*m**2 + 8*m**3 - 31271540955*m**2.\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -149.4415 + 2.1315. Let m = f + 150. Let z = m + -2.7. Round z to 3 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9306523 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + i = 8. Suppose t - 3 = i. Suppose 37 - t = 4*c. Solve v + v = -c for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-38)\/(-10) - 27\/(-85).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3141, 6278, 9413, 12546, 15677, 18806?\n\"Answer: -o**2 + 3140*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 83a - 53?\nAnswer: 7e7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -45*k**2 - 8*k + 8. Determine c(1).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 378913 to the power of 1\/4, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h**4 - 10*h**3 + 15*h**2 = 0. What is h?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (17 - (8 - (26 - 9))) + -24\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 8*v**2 + 58*v + 107. Determine z(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j**2 + 5*j**2 - j**2 - 20*j**2 + 8*j**2.\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 164 - 164 + 614*b - 311*b.\nAnswer: 303*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3972\/8937)\/((40\/9)\/4))\/(10\/(-1025))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2 - 101148*s + 2936656.\nAnswer: -4*(s - 29)*(s + 25316)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of -9*l**2\/2 - 1775. Let y(z) = 529*z. Determine y(w(p)).\nAnswer: -4761*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 AM and 4:45 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z - 27 + 27 + 25 + (z + 2*z - 2*z)*(-6 - 5 + 0).\nAnswer: -9*z + 25","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35070360 divided by 876759.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 50 + -48. Solve 0 = -3*d, 2 = -v*s - 5*d - 0*d for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66587849 to the power of 1\/2, to the nearest integer?\nAnswer: 8160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 34043 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 40742563*p**4 - 3*p**3 + 749773211*p**2.\nAnswer: 977821512*p - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -6*h**2. Let g(m) = -12*m**2. Let u(v) = 5*c(v) - 2*g(v). Let d(a) be the first derivative of 2*a**3\/3 + 310. Give u(d(p)).\nAnswer: -24*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2 + 0)*(-b - b + 7*b)*(8*b - 20*b - 14*b) to the form a + i*b + y*b**2 and give y.\nAnswer: 520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 157*d + 23*d - 297338 + 1435118. Is d at least -6321?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 63.412727 to zero decimal places.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 AM and 12:40 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-980)\/(-616) - 3\/4*2.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/2)*q**(3\/8))**(-46) assuming q is positive.\nAnswer: q**(-161\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001847732279 rounded to four dps?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -0.2, 102, -8, 1, 0.3, 5?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express p + 2*p**3 - 144*p**2 - 3 + 257*p**2 - 102*p**2 as f + k*p**3 + y*p + i*p**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*w + 79*w = 10952. Let d = 1941 + w. Is 26 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 13) to base 5\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29 - 27 - 16 + 93 - 22 + 454*b to the form v + x*b and give x.\nAnswer: 454","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 40402.8 microseconds?\nAnswer: 40402800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9a34 (base 12) in base 11?\nAnswer: -11884","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express n - 14*n**2 - 3*n + 10*n - 7*n in the form q*n**2 + v + l*n and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-1664)\/260*(-90)\/48\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = -16*x + 7*x. Factor x*h**2 + 3\/5*h - 1\/5*h**3 + 2\/5.\nAnswer: -(h - 2)*(h + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 13) to base 7\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 10. Let c be -4 + 3 + (14\/35)\/2*8. Sort c, i, 2, -0.4 in increasing order.\nAnswer: -0.4, c, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 101*y - 13186. Let d be m(131). What is the highest common factor of 7515 and d?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-1 - -1 - 9) + (-347 - -353)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 1550*l - 16967. What is v(11)?\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 21.18974 to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 39\/15 - (-6)\/15. Suppose -q - 4*y - j = 0, 0 = -2*q - 2*y + 6. Suppose -q*a + 75 = -5. Does 6 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 13) in base 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -104*v**2 + 150*v - 119. Calculate n(6).\nAnswer: -2963","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -693337 (base 10) to base 6\nAnswer: -22505521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -49755774 plus 0.7538?\nAnswer: -49755773.2462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15\/7? (a) 549 (b) 0.2 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 4*x + 24016, 3*r - 7188 - 10804 = -2*x. Round r to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25914?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 276*l - 421*l**5 + 5 + 64 - 270*l wrt l.\nAnswer: -8420*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 366285?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1092210?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v + 9*v - 6*v - 6. Suppose -2*y + 3*y - 3 = 0. Let j be 5\/(y\/(-1 - -4)). Determine p(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*c**2*g**2 + 13*c**2 - 17*c*g**2 wrt c?\nAnswer: -6*g**2 + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -4. Suppose 0 = -18*y + 101*y - 332. Put y, -2, o in descending order.\nAnswer: o, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jee when three letters picked without replacement from {e: 2, u: 1, j: 2, d: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -4*k - j, j - 3*j = 0. Let u(s) = -2*s**2 + 3*s. Let q(v) = -3*v**2 + 5*v. Give k*q(x) + 10*u(x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**2\/11 - 155560*y\/11 + 50500008\/11 = 0. What is y?\nAnswer: 326, 77454","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*(2 + -2 + 1). Suppose -5*z - 9 - 11 = 0. Put 5, p, z in decreasing order.\nAnswer: 5, p, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 247 + -157. Is 9 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from inogfgko. Give prob of picking 2 g and 1 o.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 55 - -1. Suppose -5*y + 45 + 95 = 0. Calculate the highest common factor of b and y.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*c**3 - 460*c**2 - 12992*c + 13456 = 0. What is c?\nAnswer: -58, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5748 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*l + l. Let j(n) = -4 + 3*n**2 + n + l - 3. Let a(b) = -6*b**2 - 2*b + 9. What is -6*a(g) - 11*j(g)?\nAnswer: 3*g**2 + g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**2 + 2 - 1 - 4*r**2)*(-5 + 0 + 1)*(11*r - 7*r - 17*r).\nAnswer: -156*r**3 + 52*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/8)\/(1\/28). Let c(o) = 298*o**2 - 2*o - 2. Let l be c(-1). Suppose 0 = -3*h + l + 143. Calculate the highest common factor of h and w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of -w**3\/3 + 2*w**2 + 36*w + 6. Let f be h(-7). Let q be 3*(4 - 18)\/1. Is q != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 49071100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 5 + (-20)\/6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42*b**3 - 118*b + 118*b + (3*b + b - 3*b)*(-2*b**2 - b**2 + 4*b**2))*(2*b + 0*b + 0*b).\nAnswer: -82*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 41297 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1209469962?\nAnswer: 2, 3, 113, 1783879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*r**3 - 309 - r + 105 + 107 + 98 - 8*r**2 + 3*r in the form u*r**2 + q + k*r**3 + n*r and give u.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 - 9*l - 5. Let j be o(-8). Suppose -j*z - x - 1 = 3, z - x + 4 = 0. List the prime factors of ((-55)\/15)\/(z\/6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 3160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*n - 3 + n**2 + 0 + 3.\nAnswer: n**2 + 69*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11044 + 11044 + 63*h**2 to the form g*h**2 + m*h + w and give g.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(-2)\/3 - 1208\/12. Let l be k\/72 - (-4)\/(-36). Is -1 >= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*k**3 - 3*k**3 + 5*k**3)*(3*k - 9*k + 22*k) as t*k + d + i*k**4 + z*k**2 + c*k**3 and give i.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/2, 4, -1\/11, 3\/5, -6306\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -1) + 3568\/(-3122)\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f**2 + 3*f**2 - 5*f**2 - 3 - 4*f**2 with respect to f.\nAnswer: -8*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -1345*g**3 - 2*g**2 - 4*g + 21. What are the prime factors of x(-3)?\nAnswer: 2, 3, 5, 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(7\/6)*j\/(j*j**(2\/15)*j)*(j**(-1)*j)\/(j**(-8\/7)*j) assuming j is positive.\nAnswer: j**(37\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-6)\/2 - 346)\/((-15)\/30) is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by 16.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4021.59 rounded to the nearest one hundred?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28 - -28. Suppose -4*f - 188 + 400 = g. Calculate the remainder when f is divided by 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 282401931?\nAnswer: 3, 7, 13447711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1202840, 2405679, 3608518?\nAnswer: 4811357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v**(1\/2))**(-2\/21))**(8\/15) assuming v is positive.\nAnswer: v**(-8\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(-6)*z)\/(z*z**(-1)))\/(z**0*z)**(-6\/17))\/((z\/z**(-3))\/(z\/((z*z**(2\/5))\/z))*z**(1\/6)*z**(-3)) assuming z is positive.\nAnswer: z**(-2149\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25.1 + 26.1. What is the nearest to -2\/3 in 1\/6, c, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**5\/11 - 192*a**4\/11 - 390*a**3\/11 - 196*a**2\/11 = 0 for a.\nAnswer: -1, 0, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -297*c**2 + 255701*c\/3 + 4592\/3.\nAnswer: -(c - 287)*(891*c + 16)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1031001001122 (base 4) to base 14\nAnswer: -2977870","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -7*n + 2*n. Let g(y) = -y + 2. Calculate g(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 5*h - 4)*(-2*h**2 + 2 - 2) - 5*h**3 + 3*h**3 + 0*h**3.\nAnswer: -12*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k + 7*k - 11*k - 3 - 13*k. Is j(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 52 and 96124.\nAnswer: 1249612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 61*j**4*s - 3*j*s - 3*s - 61 wrt j.\nAnswer: 244*j**3*s - 3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -85612, -94384, -108998, -129448, -155728, -187832?\n\"Answer: q**3 - 2927*q**2 + 2*q - 82688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (9*9\/108)\/((-42)\/(-16)). Which is smaller: b or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v**5\/2 - 9*v**4\/4 + 3*v**3 + 9*v**2\/4 - 3*v\/2 = 0 for v.\nAnswer: -2, -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -126 + 132. Calculate the lowest common multiple of 14 + (2 - 10)\/4 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**3 + 7*q**2 - 7*q - 9. Let m be i(-8). Let g = m - -531. Calculate the highest common divisor of 16 and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 11 = -4. Suppose -n*o - 21 = -54. Let g = o + -3. Does 4 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 262*w - 17813. Determine d(68).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1\/2, 0, 3, -67376, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5561 and 1?\nAnswer: 5561","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.285*-3\nAnswer: 0.855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/21969003 and -56\/29289.\nAnswer: 285597039","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-152)\/25 + (-56 - -62). Put 7316, 3\/4, b, 0.1 in ascending order.\nAnswer: b, 0.1, 3\/4, 7316","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 1774*z - 62956. What is d(35)?\nAnswer: -866","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3939 - 55179\/14. What is the common denominator of 7\/18 and b?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*o - 66*o - 12*o + 615 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 + 2*n. Let b be f(0). Suppose 2*j = -8, -d + 0*d + 5*j = -24. Solve b = 5*a - p - 9, -5*a - d*p - 7 = -p for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 418 times -3332\nAnswer: -1392776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*k + 2*g + 2, -2*k + 2*g + 4 = 0. What is the units digit of 1 - 0 - -333 - (-2 + k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 794, 1528, 2166, 2702, 3130, 3444, 3638, 3706?\nAnswer: 3642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 614 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(153) - sqrt(153)*2 - sqrt(153))*-2)\/sqrt(9))**2.\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1305?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5015031 and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(4\/3)*t\/(t*t*(t\/t**(-20))\/t*t*t)*t**2*t\/(t\/(t*t*t*t\/(t**(-3)*t)*t)*t) assuming t is positive.\nAnswer: t**(-41\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11878 - -11882. Let s(r) be the first derivative of 11\/4*r**o + 0*r + 0*r**3 + 3 - 2*r**2. Find the second derivative of s(u) wrt u.\nAnswer: 66*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 89886 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3419 - 3556\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -141 - -389. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = b - 0*b. Let r = -28 + 33. Calculate the least common multiple of b and r\/(-10)*-4 + (-1 - -5).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24303799*i**2 + 43*i - 78086.\nAnswer: 48607598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 28\/2095?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 12:37 AM?\nAnswer: 2:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + -17473?\nAnswer: -17475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**3 + 5*j**2 - 25*j + 15.\nAnswer: 5*(j - 1)**2*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3412 is divided by 67.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 26 = 4*p + 2*q, 5*p - 2*q - 10 = 0. Let x = -2.82 + 0.52. Let h = x + 1.3. Which is the nearest to -1? (a) -4 (b) p (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13296.3 times -0.5\nAnswer: 6648.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w = -3166 + 11932. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2245, -5, -2 in decreasing order.\nAnswer: 2245, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence upp when three letters picked without replacement from {p: 1, u: 1, c: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 990, 2, -24 in decreasing order.\nAnswer: 990, 2, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c + 5. Let z(y) = -4*y**2 + y - 1. Let t be z(1). Calculate the smallest common multiple of (-2)\/4 - 84\/(-8) and r(t).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/8 of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002135914968 rounded to 6 dps?\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 12:32 PM?\nAnswer: 9:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -81a2 (base 11) in base 14?\nAnswer: -3d73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 61*w - 65*w - 16. Let f be w\/(-12) - 43396\/(-96). Let g = 453 - f. Which is the closest to 1\/2? (a) -0.1 (b) -3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*m**4 + 7*m**3 + 17*m**2 + 18*m + 8?\nAnswer: -24*m**2 + 42*m + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2803580 divided by 2132\nAnswer: -1315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1586*b + 110252 = -64*b - 240*b for b.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - w + 24 = 0, 5*q + 3*w - 47 = -15. Solve 0 = 5*u - u + q*h + 20, 0 = 4*u + 2*h + 14 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4875 and 74541?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of -d**4\/4 - d**3 + 3*d**2\/2 + 4*d - 3. Let o be a(-4). Suppose o + 20 = 4*y. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1486625139.\nAnswer: 3, 6329, 26099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0\/1 - 1)\/(10\/30). Suppose -2*d + 2*b + 18 + 0 = 0, -b + 3 = 2*d. Suppose -5*u - 5*v + 10 = -10*u, -10 = 5*v. Put u, d, x in increasing order.\nAnswer: u, x, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(-2)\/6*(-1)\/(-7)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 8985?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*a**2*m*n**2 - 16*a**2*m - a**2*n**3 + 2*a**2 + 50*a*m*n**4 - a*m*n - 7*m*n**4 - n**2 wrt n.\nAnswer: -6*a**2 + 1200*a*m*n - 168*m*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 13. Let j(n) = -2*n**3 + 4*n**2 + 3*n. Let g(a) = -a**2 - a. Calculate z*g(w) + j(w).\nAnswer: -2*w**3 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + 6)\/(3\/1)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -2\/15 (b) 8.69 (c) -1 (d) 60\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/10)\/(21\/30). Let b = -22\/63 - w. Is b at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103908.6282 rounded to the nearest 1000?\nAnswer: 104000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, u: 3}. What is prob of sequence duu?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 divided by 75?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 51371684?\nAnswer: 51371685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11a - 6?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 4*l - 1, -6*r = -2*r - 5*l - 25. Suppose 2*y + 3*y + r = 0. Let k = -4 - 1. Put y, 0, k in descending order.\nAnswer: 0, y, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13002?\nAnswer: 2, 3, 11, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*r + 2 + 669*r**4 + 680*r**4 - 1342*r**4 to n*r + s*r**2 + x*r**3 + p*r**4 + l and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + n - h + 22 = 0, 5*n + h = -62. Let o = 9 + n. Suppose 2 - 1 = -x. Put 2, o, x in descending order.\nAnswer: 2, x, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 46 + -139. Let q = 41 + g. Let r = q + 25. Round r to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 47*o**2 - 4 - 50*o**2 - 1 - 3*o**4 + 4 to the form z*o + c + a*o**4 + w*o**3 + i*o**2 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, e: 1, u: 3, y: 1, m: 1}. Give prob of picking 1 u, 1 y, and 1 w.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.23513, -6, -0.2, -1, -4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 11 = -d, -4*n - 29 = -65*d + 70*d for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 890792 is divided by 33?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**5\/5 - 8*u**4\/5 - 6*u**3\/5 + 8*u**2\/5 + 8*u\/5 = 0. Calculate u.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 5916\nAnswer: 17748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 13.72*-0.034805\nAnswer: -0.4775246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h - 11*h - 3*r - 3401 = 0, 0 = -4*h - 2*r + 6842. What is the lowest common multiple of h and 44?\nAnswer: 18788","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 + -22. Let f = 25 + a. Is f a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-95)\/(-15) + 2\/3. Suppose 0 = 3*i + 5 + o. Let h be (5 + -6)*(i - -1). Solve 0 = f, -9 = -h*d + 5*f - 3 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*g**3 - 7*g**3 - 5*g**3.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -47544.27 * -63.\nAnswer: 2995289.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.033 + -0.333. Sort s, 1, -5, -19 in descending order.\nAnswer: 1, s, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -974.44 + 1001. Let m = k - 27. Round m to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -24, -0.003, 2?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in -10\/7, -756\/11, 296?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/10 of a litre in millilitres?\nAnswer: 1900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 + 20*n - 92. Let p be f(12). Solve -5*o = -p*b, -13 = -b - 3*o + 4 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -72185 - -1\nAnswer: -72184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -87 + 87.5. What is the closest to -3\/7 in w, 5, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 14*b + 20. Let j = 1 + -2. Let y = j - b. Sort -5, -6, y in increasing order.\nAnswer: -6, -5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*o + 29 - 29 + (1 - 1 + 2)*(2*o - o - 3*o) - 39 + 341*o + 328*o + 79 - 40 to the form i*o + g and give i.\nAnswer: 671","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b\/(b*((b\/(b*b\/b**0))\/b)\/b*b*b*b))\/b))\/(b*b*b**(-8\/7)))**(-3\/10) assuming b is positive.\nAnswer: b**(-12\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2103 + -611453?\nAnswer: -607350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6644*l - 9540 wrt l?\nAnswer: -6644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 5*b**2 - 5. Let l be (-4)\/(-2)*-5*552\/(-460). Suppose -16*z + 19*z = -5*y + 20, -2*y + l = 2*z. Let t(q) = 11*q**2 - 11. Calculate z*o(d) - 2*t(d).\nAnswer: 3*d**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13 - -41?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 - 6) + 5 - 11. Is -7 at most as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*-2*sqrt(495))\/(sqrt(27)\/(sqrt(9)\/sqrt(3))))\/(3*-6*(sqrt(5) - -3*sqrt(45)\/sqrt(9))).\nAnswer: sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -709, -757, -805, -853, -901?\n\"Answer: -48*w - 661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20.17881 - -42.\nAnswer: 21.82119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 x when three letters picked without replacement from {x: 5, s: 7, r: 5, y: 1}?\nAnswer: 25\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2 + p**2 + 5*p**2 - p**2)*(-821 + 589 + 962) as o + n*p + v*p**2 and give v.\nAnswer: 3650","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 72\/31? (a) -0.2 (b) 5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {t: 1, f: 1, d: 9}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*f - 7*f - 12*f + 34*f.\nAnswer: 46*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*u = -20*u + 25. Suppose 2*l = -u*v - 316, -l = v + 2*l + 71. Let k = -42 - v. Solve k = 5*g - 0*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 0*p = 132. Suppose -5*u - h - 127 = 36, 2*u - 2*h = -70. Let t be -2*u\/6*2. What is the highest common factor of p and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (13\/2)\/((-1)\/4). Let b = 62 + q. Suppose -b = -r + 3*n, 4*r + r - 180 = 5*n. Is 14 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24*q**4 + 1369*q**3 - 2775*q**2 - 118*q.\nAnswer: q*(q - 2)*(q + 59)*(24*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32666258?\nAnswer: 2, 41, 398369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 3*x. Let i be t(1). Let s(y) = -3*y + 12*y + 4 - i. Let o be s(6). What is the highest common divisor of 5 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of 7*l**5\/60 - l**4\/12 - 25*l**2 - 2*l. Determine s(3).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 20043?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -14.1 >= -1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 333699 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 506 is divided by 40?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 5*b = 2*t - 3, 0 = 3*t - b + 15. Let y(x) = 1. Let v(q) = -2*q + 4. Let c(l) = 2*v(l) - 10*y(l). Let g(a) = -5*a - 3. Calculate t*c(j) + 4*g(j).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllllullulullll. What is prob of picking 3 l and 1 u?\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -102.86706 + -0.04294. Let m = -0.09 + h. Let i = -103.00000008 - m. Round i to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -496, -533, -618, -775, -1028, -1401?\n\"Answer: -4*v**3 - 9*v - 483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29.83 - 32.83. Suppose 4*g - 2*g - 38 = 2*o, 52 = 2*g + 5*o. Sort g, v, -1\/5 in ascending order.\nAnswer: v, -1\/5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.48228l in millilitres?\nAnswer: 66482.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 - 22*z - 31.\nAnswer: -22*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (j + 8*j**2 - j)*(106 - 107 + 45 - j**2) as t*j + f*j**3 + o*j**2 + l + n*j**4 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 301603872 divided by 96792?\nAnswer: 3116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + 31200320?\nAnswer: 31200315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 + 17. Let s(n) = -3*n - 4. Suppose 6 + 22 = -2*k - 5*i, -2*k = 2*i + 16. Let f be s(k). Solve 0 = 3*d + p + 4*p + t, f = -4*d + 3*p for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 + k**2 - 2*k**2)*(2 - 2 + k) + 2 - 66*k**3 + 64*k**3 + 55*k - 5.\nAnswer: -4*k**3 + 55*k - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8896 and 188.\nAnswer: 418112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - x = 0. Let p = x + 2. Let l = 388 - 384. Calculate the remainder when l is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4035.\nAnswer: 3, 5, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 515.712mg?\nAnswer: 515712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 4*z - 1 = 0, 5*z = 5*m - 0*m. Calculate the remainder when 4 is divided by m.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2\/3, 0.03, 6, 3 in ascending order.\nAnswer: -2\/3, 0, 0.03, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 5\/2, 2434?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 549*y**3 - 185*y**3 + y**2 + 0*y - 186*y**3 - 185*y**3 - 2 + y. Let o(n) = 27*n**3 - 4*n**2 - 5*n + 9. Give -2*o(f) - 9*p(f).\nAnswer: 9*f**3 - f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -48\/341 and -28\/279?\nAnswer: 3069","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 924.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -125 - (-1 - 69) - -22?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 464 - 6068*y + 6069*y + 799.\nAnswer: y + 1263","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/6*5\/125*-5.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r - 1. Let w(b) = -20*b + 12. Determine -12*a(m) - w(m).\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2651 - 2650.5. Which is the second smallest value? (a) 0.01 (b) 1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 0.3, 3, -3, -24.34, 1 in ascending order.\nAnswer: -24.34, -3, -0.2, 0.3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 33*((-10)\/(-6) + -2). Let j(v) = -2*v - 13. Calculate the remainder when 17 is divided by j(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192\/59 greater than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 5*x = -49, 146*s + 3*x + 35 = 147*s. What is the smallest common multiple of s and 2732?\nAnswer: 19124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 162 - 142. Calculate the highest common divisor of 160 and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 - 44*q - 278. Let r be v(-33). Let p = 75 - 70. What is the highest common factor of r and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3745347941 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 7*w**2 - 6*w - 4. Suppose g + 4*d = 10, -d + 2*d = -g + 7. Calculate i(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3663, 3666, 3663, 3648, 3615?\nAnswer: 3558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(612))**2*-3 + sqrt(612) + sqrt(612) + -1 + (sqrt(612) - (1 + sqrt(612))**2).\nAnswer: -2450 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 960166?\nAnswer: 2, 59, 79, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6 and 66674?\nAnswer: -400044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u - 12 + 54 = 0. Let z = 9 - u. Suppose s - 3*w = -883 - 3955, 2*w = z*s + 9692. What is s rounded to the nearest one hundred?\nAnswer: -4900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 898538483 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 463*a + 104*a**2 + 12*a**3 - 929*a + 3*a**2 + 466*a in the form d + u*a**2 + l*a**3 + r*a and give u.\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159040 is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -5*l. Let c(r) = -r**2 + 8*r + 1. What is the remainder when 14 - (0 - 1 - l) is divided by c(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 234130095?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 52 - -31. Let n = -96 + m. Sort n, 2\/17, -0.4, 5 in ascending order.\nAnswer: n, -0.4, 2\/17, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 956178?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*o - 9*o + 2 - 2*o)*(2 + 1 - 4).\nAnswer: 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of t**5\/60 - t**4\/12 - t**3\/3 + t**2. Let i be u(-2). Suppose i - 30 = -2*a. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 + 5*n**2 + 4*n - 2. Let q = -25 - -37. Let m(r) = -36*r + 2. Let l be m(0). Suppose l*i + i = -q. Calculate b(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*h**4*q + 16*h**3*q + 3*h**2*q + 32*h**2 - h*q wrt h?\nAnswer: 168*h*q + 96*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 PM and 3:53 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2. Let z(y) = y - 8*y + 4 - 4. What is z(t(c))?\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 6 - (5 + (-2 - 15) + 2)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of -i**4\/12 - i**3\/6 - 2*i. Let d(s) = 2*s**2 + 5*s - 1. Determine -4*c(b) - d(b).\nAnswer: 2*b**2 - b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2*sqrt(136))\/sqrt(8).\nAnswer: -4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000047785 rounded to six dps?\nAnswer: 0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 + 13592*i - 67938. Determine q(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*s**2 - 1799 + 3600 - 290*s**6 - 21*s - 70*s - s**5 - 1801 wrt s.\nAnswer: -34800*s**3 - 60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 31 = p, 4*p + 5*s + 0*s = 24. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjtj when four letters picked without replacement from {v: 2, t: 2, j: 10}.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7135467 is divided by 1367.\nAnswer: 1094","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -6*w**3 + 14*w**2 + 11*w - 14. Let c(t) = 2*t**3 - 5*t**2 - 4*t + 5. Suppose 3*m - 8 = 4. Give m*d(u) + 11*c(u).\nAnswer: -2*u**3 + u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -12 - (-1859)\/616*4. Is -2\/87 less than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 56 + -56.94. Round u to one dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 2 d, and 1 p when four letters picked without replacement from ddppfcfpfqqpdqfqfq?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 6:30 AM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*w**3 - w**3 + w - 3 - 4*w**3 as p + h*w**2 + r*w**3 + d*w and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-6))\/((-4)\/16).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q. Let t(m) = -3*m + 4*m + 0*m - 3*m. Determine 5*t(v) - 6*w(v).\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 173499, 173538, 173577, 173616, 173655?\n\"Answer: 39*b + 173460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + 4*t**2 - 2*t + 1. Suppose -115 = 5*f - 90. Let q(v) = 30*v + 154. Let o be q(f). Give s(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of -1\/20*d**5 - 7*d + 0 - 5\/2*d**2 + 2\/3*d**4 - d**3. List the prime factors of u(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 248342 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.5217763 millennia?\nAnswer: 5.217763","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -24 or 12768?\nAnswer: 12768","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 13 + (4\/1)\/2. Suppose 0 = 5*w + 4 + 26. Let g be 7\/4 + w\/(-24). Solve -g*c - c = -v for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6779.43 * -121.\nAnswer: 820311.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.02 in 5, 0.1, 1\/5, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1659297?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -23*c**2 - 1 + 15*c**2 + 20*c**2 - 6*c + 38*c**2. Suppose -n + 2*p = 2 - 8, -5*n - 3*p - 22 = 0. Is g(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/3 + 1343563*y\/3 - 2687122\/3.\nAnswer: -(y - 1343561)*(y - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 715, 5853, 19799, 46957, 91731, 158525?\n\"Answer: 734*x**3 - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43543?\nAnswer: 43543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -5*p**3 - 9*p**2 + 15*p + 2. Calculate s(5).\nAnswer: -773","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/(-952))\/(4\/14)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 2*z + 0*z)*(-6 - 4 - 3).\nAnswer: -13*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12583428 a multiple of 849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-39)\/(-39)*-5*(-9)\/(-45)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)\/(sqrt(22)\/sqrt(2)) - (2*sqrt(112))**2) + (sqrt(112) - (2 + -2*sqrt(112))).\nAnswer: -450 + 13*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-9)\/21*(-154)\/(-33)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-5))\/((-71)\/(-1420))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140165755 is divided by 58?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 AM and 6:04 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1421327?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*v - 2022 = 90*v. Suppose -258 = -2*x - 4*p, 3*x - 38*p = -34*p + v. What is the remainder when x is divided by 22?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 - 8*x**2 + x. Let y be q(8). Let o(z) = -z**3 + 9*z**2 - 4*z - 6. What is the tens digit of o(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -982780697 - -19506\nAnswer: -982761191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 + (-77)\/28)\/(1\/(-12)). Suppose -s*c = -53*c - 692. What are the prime factors of c?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**5)\/(o**(2\/39)*o))**(-17) assuming o is positive.\nAnswer: o**(3349\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/931 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 31 + 37 - 66 - 59*c in the form t + y*c and give y.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -2*t - 12. Let m be ((-12)\/8)\/(t\/36). Suppose a - m = 4*a + 4*u, -a = 5*u + 9. Let h(i) = i + 1. What is h(a)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 448 and 29072?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 299 + 1092 + 25 - 2*i**2 - 77.\nAnswer: -2*i**2 + 1339","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 122 + -119. Suppose 0 = i*k - 8*k + 45. Calculate the smallest common multiple of 12 and k.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 3*r = -7*r + 16, 0 = -5*p - 3*r + 4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*t - 19 = -19*t + 4*f, -14 = -2*t + 4*f. Suppose -t*d + 462 = 2*n - 543, -5*n - d = -2570. What are the prime factors of n?\nAnswer: 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 119, 273, 471, 713, 999, 1329?\n\"Answer: 22*t**2 + 88*t + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is a2a551 (base 11) in base 7?\nAnswer: 20025316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 4*m + 12. Let y(v) = -1. Let j(b) = n(b) + 12*y(b). Let q(a) be the first derivative of 5*a**2\/2 - 7366. Calculate j(q(x)).\nAnswer: 20*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*u + 1620 + 11754 = 0. List the prime factors of u.\nAnswer: 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*l = 96*l + 10 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/30*4\/3. Which is the nearest to p? (a) -1\/2 (b) 5 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j = -3*j - 5*s - 11, 4*j + 3*s = 19. Suppose 0 = n - j*n. Let w be 4 - ((-4)\/2 + 4). Solve w*b - 7 + 3 = n for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100)*-2)\/(sqrt(252)\/sqrt(7))*-3.\nAnswer: 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -2. Let h(c) = -20*c**2 + 5*c + 5. Let q(x) = -7*x**2 + 2*x + 2. Let d(o) = -3*h(o) + 8*q(o). Determine d(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a hour in seconds?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.17 - -0.95. Let f = -1.59 + y. Let w = -0.19 + f. Sort -4\/3, -1\/5, w.\nAnswer: w, -4\/3, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*j**2 + 4*j**2 + j**2)*(0*j**2 - j**2 - 2*j**2) + (-j + j + 2*j)*(-3*j**3 + j**3 + j**3).\nAnswer: 16*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*y + y + 4*y + 0*y.\nAnswer: 18*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + d - 112 = -211, 5*w - 2*d = 245. Solve 430 = -w*j + 101 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82*207.\nAnswer: -16974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/((20\/(-8) - -3)\/(27*-2)). What is the highest common divisor of 492 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of x**5\/20 + x**4\/3 + 3*x**2\/2 - 3*x. Suppose 2*m + 9 = 1. Let c be y(m). Solve -v - 1 + c = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 68*w - 2 - 67*w + w**3 + 2*w**4 + 2*w**2 - 5*w**2 - 3*w**3 to z*w**2 + q*w**3 + c + i*w + d*w**4 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five eighths of a millimeter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*z + 99025 - 49512 - 49513.\nAnswer: -76*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -20.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 893.5 - 894. Which is the third smallest value? (a) u (b) -5 (c) 2\/61\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 1. Suppose 25 = -2*b - 3*b. Put 3, b, a in decreasing order.\nAnswer: 3, a, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -24 - -40?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -228 = 13*g - 358. Suppose -4*n + 5*r + 206 = 0, 7*r + 204 = 4*n + 3*r. What is the remainder when n is divided by g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b**2*l**4 + 4*b**2 - 486*b*l**5 - b*l + 18*b wrt l?\nAnswer: 12*b**2*l**2 - 9720*b*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -132.14462 + 132.64462008. Let n = o + -0.5. What is n rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - 1223?\nAnswer: -1230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 41 + -32. Suppose 25*j = 28*j - i. Solve -j*q - 3*d - 8 = 7, q = -3*d - 15 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -123*d**2 + 1108*d - 9. Let h be t(9). Find p such that 5\/2*p**2 + h*p - 25\/4*p**3 + 0 = 0.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10232, -20735, -31240, -41747, -52256, -62767, -73280?\nAnswer: -83795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w + 3*w + 1 - 4*w. Determine x(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllmhkhmbblllmkhk. Give prob of picking 3 k and 1 l.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -63648\/121 - -526. What is the common denominator of v and -64\/55?\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3 + 24*z**2 + 52*z.\nAnswer: -z*(z - 26)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of -b + 57 + 0*b**2 + 1\/3*b**3. Let v(c) be the second derivative of -c**4\/6 - 9*c**2 - 2*c. Determine l(v(w)).\nAnswer: -4*w**2 - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7350173?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -4*g + 4*o, -4*o - 12 = -2*g - 10 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1103 - -2?\nAnswer: -1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -2306.\nAnswer: -2306, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 times 3408?\nAnswer: -98832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 plus -26764651929.59?\nAnswer: -26764651929.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*k**4 + 6*k**4 - 2 + 0 - 1 wrt k.\nAnswer: 36*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 z, and 1 m when three letters picked without replacement from {z: 2, k: 2, f: 1, m: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, p: 1}. Give prob of picking 1 r and 1 p.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/(-6))\/((-6)\/18). Suppose 2*x - 3*x + 2*h + 4 = 0, 36 = 3*x + q*h. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 AM and 2:50 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 36272447 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2583460 plus -109.91992?\nAnswer: -2583569.91992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(10\/7))**42*(r*r**(1\/26)*r)\/((r*r**(-36)\/r*r*r*r)\/r) assuming r is positive.\nAnswer: r**(2497\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) -2\/13 (c) 1\/3 (d) 153\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5649 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 6:52 AM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (22*15\/1320)\/((18\/(-8))\/3)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (156\/(-198))\/13*-3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 118678372?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 66*r**2 - 33*r**2 + 2*r - r**3 - 37*r**2 + 6. Calculate q(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.4, -5, 2\/569, 0.3, 0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17\/4685 + 6503\/191148. Let n = c - -1\/51. Which is smaller: 1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14011 is divided by 211.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56 divided by 56.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*k - 11 - 93 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -1 (b) -1\/10 (c) -3 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 80 and -5.\nAnswer: -400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/5250 and -151\/11340.\nAnswer: 283500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 13141000 to the nearest 100000.\nAnswer: 13100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34 + 19 + 28*s**2 + 15 - 19*s**2.\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 12*i**4 + 36*i**3 - 5*i**2 - 29*i - 7. Let v(s) = -4*s**4 - 12*s**3 + 2*s**2 + 10*s + 2. Let l = 25 - 32. Let m(k) = l*v(k) - 2*h(k). Factor m(b).\nAnswer: 4*b*(b - 1)*(b + 1)*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 7*c - 354. Let g(u) = 29*u - 1413. Determine 6*g(h) - 25*v(h).\nAnswer: -h + 372","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 15)*(29*f**2 - 29*f**2 + 2*f**4) + 2*f**4 - 4*f**4 + 3*f**4.\nAnswer: 33*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 43 - 14*g + 35*g + 37 - 36*g. Let o be b(5). Solve -o*n + 3*a + 4 = -4*n, -n - 5*a = 20 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1180518?\nAnswer: 2, 3, 151, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, q: 7, r: 5, f: 1}. Give prob of sequence qr.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/147)\/(3\/9).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13309*p**2*u - p*u - 6906*u wrt p.\nAnswer: 26618*p*u - u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y - 6*y = -39559. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in two fifteenths of a hour?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 118635527 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 39 + -35. Suppose -668 = -3*o - n*u + 3*u, 0 = -3*u + 15. Is o < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.2, -7, 28, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1637*k**3 - 30*k + 61 - 61 + 30*k.\nAnswer: -1637*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32055 is divided by 914?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.895944 weeks to microseconds.\nAnswer: 2961066931200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + 5681 + 84\/(-7) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20 * 0.1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y**2 - 7*y + 5. Let w be (-7 + 13)\/(0 + 2). Let h(v) = v**2 - 8*v + 7. Let k(t) = w*h(t) - 2*j(t). What is k(-10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 63 + -63. Is i bigger than 4\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(((f\/(f\/(f\/f**29)))\/f)\/f)*f*f**48)\/(f**(10\/7)*f*f)**(-20) assuming f is positive.\nAnswer: f**(1040\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*u - 18*u - 124*u.\nAnswer: -131*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-1 - -1) + -91 + (119 - 51)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7220 is divided by 38?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 92537?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 + 13. Suppose 0 = -2*r - j + 4*j + 19, 4*j = 3*r - 29. Let p = v - r. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*p)*(68*p**3 - 68*p**3 - 4*p**4) - 3*p**5 - 3*p**5 + 2*p**5.\nAnswer: -12*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 - 27*d - 22. Suppose -3*f + 5*p = f + 113, 2*f + 24 = -4*p. List the prime factors of t(f).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3215)\/(-25720))\/((-2)\/24)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/12 in -0.041, 5, 4?\nAnswer: -0.041","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 256\/(-12) - 2\/3. Let q = -16 - f. Suppose -q*m = -4*a - m + 138, 2*m - 124 = -4*a. What is the highest common factor of 64 and a?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5711, 5710, 5709, 5708?\nAnswer: 5707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n**2 + 69*n + 152. Calculate the smallest common multiple of 45 and k(36).\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -257191, -257191, -257193, -257197, -257203, -257211, -257221?\nAnswer: -257233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 417 + -82. Suppose 4*m - a = -3*a + 24, 5*m - a - 23 = 0. Suppose v - k = -0*t - m*t, -3*v = 5*t - 345. Does 11 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p**2 - 2*p**2 - 5*p**2 + (2 - 1 + 1)*(-p**2 - p**2 + 4*p**2) - 2*p**2 - 4*p + 4*p + 2 + p**2 - 2 - 4*p + 4*p + 2*p**2.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -125 + 164. Suppose a*j - 28*j = 10076. What are the prime factors of j?\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 + 5*d + d + 10 + 5*d**2 - d. Let b be h(6). Solve 13 = p - 5*v - 3, b*v = 4*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((78\/(-60))\/13)\/((-1)\/(-8)). Which is the nearest to 11? (a) -5 (b) 0.2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129*z**2 - 328*z**2 + 97*z**2 + 100*z**2.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = b - 156 + 24, 123 = b + 5*j. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -4*q + 4*l, q + 2*l + 9 = -3*l. Let w be (15 - q)*(-2)\/(-3). Let u(c) = c**2 - 6*c + 2. Let g be u(w). Solve 2*v = 2 + g for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -987*w. Let c(i) = i**2. Determine n(c(z)).\nAnswer: -987*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 8:04 PM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0488693 and 0.04.\nAnswer: 0.0888693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 114 = -2*r + 120, r - 1 = s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-267)\/(-3115))\/((-24)\/(-28))\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -25152, -50379, -75682, -101061, -126516, -152047, -177654?\n\"Answer: -38*j**2 - 25113*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/((6\/(-24))\/(75770\/40))?\nAnswer: 7577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1063 + -73?\nAnswer: 990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 358, 354, 354, 358?\nAnswer: 366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y**(-1\/2)*y))\/y)\/y)**(1\/79)*(y**0)**(1\/4) assuming y is positive.\nAnswer: y**(-3\/158)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/445405 or -3598?\nAnswer: -3598","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 4:15 PM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(432) + 1 - sqrt(432)) + -3) - (sqrt(24) - -4*sqrt(96)\/sqrt(4) - sqrt(24))\/(sqrt(432)\/sqrt(6)))**2.\nAnswer: 16*sqrt(3) + 124\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/2 and (-374)\/51*13\/(-188)?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + 122*l**2 + 195*l + 23784. Give x(-122).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 310755802?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q**3 - 596469*q**2 - 34257*q**2 - 2*q**3 - 1.\nAnswer: q**3 - 630726*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 465*c**2 - 125*c - 28. What is the tens digit of v(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 + -6)\/(2 - 12\/4). Let x(a) = a**2 - a + 68. Let d be x(0). Suppose 4*v = -2*z + 24, 4*z - v = -r*v + d. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g - 7. Let x be y(10). Suppose 64 = x*m + 16. Calculate the greatest common factor of m and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of 3\/10*i**2 + 1\/100*i**5 + 7\/30*i**3 + 1\/12*i**4 - 2*i + 219. Solve d(g) = 0 for g.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2\/2 + 457089*t\/2 - 228546.\nAnswer: 3*(t - 1)*(t + 152364)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 1.4. Let k = -1\/116 - -353\/580. What is the biggest value in x, 2, k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1c1 + -3?\nAnswer: -1c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) -2 (b) -0.4 (c) 3 (d) -38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(192) - (-5*(sqrt(192)*-1 + sqrt(192)))**2) + (-5 + -4 + -1 + sqrt(192))**2)*1.\nAnswer: -152*sqrt(3) + 289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 5*n = 10, -2*n = -2*w + 3*w - 2. Let j be w\/9 - (-352)\/36. Let x = 17 - j. Solve m + 12 = -2*m, 3*m + x = -z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12236 and 114?\nAnswer: 36708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(88)\/(-2*sqrt(8)) + (1 + sqrt(44))**2.\nAnswer: 7*sqrt(11)\/2 + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*s**2 - 24*s**2 + 52*s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*p**2 - 59*p + 59*p)*(-8*p - 102*p + 16*p)*(2*p**2 + 0*p + 0*p).\nAnswer: -3196*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 + 12*x + 9. Let z be u(12). Suppose 2*t = 2*g - t - z, 4 = g - t. Let j(m) = 5*m**2 + g*m - 3*m + 1 + 2*m. Give j(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1829 - -2687.5. What is b rounded to the nearest 10?\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - (-3 - -7) - (28 + -335). Suppose -2*z - 298 + n = 0. What is the lowest common multiple of z and 43?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -489, -966, -1443, -1920, -2397?\nAnswer: -2874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1525858 is divided by 190702?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.0239 or -0.13?\nAnswer: 0.0239","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, c: 2, w: 2, k: 1, b: 2, u: 1}. Give prob of sequence uk.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 5*a = 0, -2*a = -3*z - 0*a. Suppose 4*w + x = 3, 4*x + 2 = -2*w - z*x. Let g = -14 - -27. Solve 4*s - g = -w for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -54.745654 to 0 dps.\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 2*d + 25 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23284, 83289, 183298, 323311?\nAnswer: 503328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62108 + 1968 = -62*u. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*g**3 + 2839*g**2 - 63*g - 38561200?\nAnswer: -12*g**2 + 5678*g - 63","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 744492.4 millennia in decades?\nAnswer: 74449240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 250, 5, 4, 140 in increasing order.\nAnswer: 4, 5, 140, 250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 98510 and 0.4.\nAnswer: 98510.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h + 6. What is b(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10 - -152d6?\nAnswer: 15306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 236 = -4*y, -y + 33 = -3*q - 34. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -94*w**2 + 5*w + 1. Let c(j) = 281*j**2 - 17*j - 1. Let r(k) = -2*c(k) - 7*g(k). Differentiate r(m) with respect to m.\nAnswer: 192*m - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 6*i + 2. Suppose -852*u + 795 = 835 + 1664. Let f(s) = -12*s - 1. Let l(n) = -6*n. Let w(a) = 3*f(a) - 5*l(a). Determine u*w(d) - 3*r(d).\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 137 + 583 = -4*q, -5*p + 1848 = 2*q. Is 23 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1486, 2255, 3538, 5335, 7646, 10471, 13810?\nAnswer: 17663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1020000222 + -121?\nAnswer: -1020001120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3779, 3, -0.5?\nAnswer: -0.3779","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = -0*c - 885 + 935 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -550 - 12165662?\nAnswer: -12166432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 8 = 4*n, 4*j - 10 = 2*n + 5*j. Suppose -18 = 22*k - 84. Let a be -110*(7 + n + 3\/k). What is a rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 6 = 4*y, -3*t + 3*y - 2 = 5*y. Suppose -d = -p - 4*p - 582, -d = t*p - 589. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 1*(sqrt(44)*-1 + sqrt(44) + -2 + sqrt(44) + (sqrt(44) + (sqrt(44) - sqrt(1584)*-1) - sqrt(44))))**2*3*5*2 + -4.\nAnswer: -960*sqrt(11) + 84506","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 894 * -0.3\nAnswer: -268.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 4 = 0, 0 = -741*a + 744*a - j - 48932. List the prime factors of a.\nAnswer: 2, 5, 7, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 c when two letters picked without replacement from {z: 1, a: 4, c: 3}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 5 = -q - w, 3*q = -4*w + 15. Let i = -48 + 47.6. What is the biggest value in q, i, -0.5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 2*l - 3*d - 1 = 0, 0 = -2*l + 5*d + 11. Let o be (-224)\/(-24) - l\/(-6). Suppose -4*i + 33 - o = 0. Does 6 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148793 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49299805?\nAnswer: 5, 53, 186037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -6*c - 23. Let j be p(0). Let v(f) = 4*f + 104. Let l be v(j). What is the greatest common divisor of l and 552?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-14) + (-11)\/(-14). Let n = -1556\/9945 + 2\/765. Which is the closest to n? (a) l (b) 2\/3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/33)*z\/z**(-5\/8))**(1\/11)*(z\/(z\/(z*z\/(z**(-2)*z)))*z*z**(6\/7))**(18\/11) assuming z is positive.\nAnswer: z**(164459\/20328)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -19 - 4*n**4 - 11*n**4 + n**4 - 4*n**4 wrt n?\nAnswer: -72*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/9 of a hour?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dkpp when four letters picked without replacement from ppdkpodpdkkpbdpk?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198 - 10 = 47*w. Solve w*b - 5*h - 25 = -7, 4*b + 3*h = 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-6)*(k*k**5)\/k)**(-31) assuming k is positive.\nAnswer: k**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 + 15*l + 5. Let w be g(15). Suppose 0*k = -w*v + 3*k + 15, 5*k - 9 = -3*v. Solve 2*q - 2*s - 15 = v*s, s + 11 = 2*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 8*w**2 - 5. Let c(i) = 9*i**2 - 6. Let b = 9 - 4. Calculate b*c(m) - 6*j(m).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -3*z**5\/5 - 27*z**4 - 342*z**3 - 870*z**2 - 819*z - 1323\/5 = 0.\nAnswer: -21, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 18 = 5*m, 8 = -8*m + 12*m. Suppose 4*t - 4*k = 920, -l*k = -5*k - 12. List the prime factors of t.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l. Let f(r) = -234*r. Give f(d(s)).\nAnswer: -468*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2506, -11689, -26992, -48415, -75958, -109621?\nAnswer: -149404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**4 + 682*x**3 + 2754*x**2 + 2070*x.\nAnswer: -2*x*(x - 345)*(x + 1)*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 366 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (264\/(-60) - -4)*(-1 - 4). Solve 4*r = k - 1 + 12, -2*r = -m*k - 10 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - -2 - 2*2. What is the units digit of (-72)\/(-8)*j*-66?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/3 - 504*w**2 - 18792*w - 171072.\nAnswer: 2*(w - 792)*(w + 18)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 1 = 1. Suppose -2*b = y + 7. Let p(j) = 3*j**2 - 2*j**2 + 2 + 3*j - 3. Calculate p(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62 is divided by 33.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2687.\nAnswer: 2687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/12*4 - -256. Let j = i + 36. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i - 2 - 4 + 0 + 0. Suppose -3*a - 2*a = -25. Give h(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10066033 to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -735 by -1.\nAnswer: 735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of -2*p**4 - 7*p**2\/2 + 2. Find the second derivative of x(a) wrt a.\nAnswer: -48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*w = -9*w + 216 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(91)\/(-6*(sqrt(63) - sqrt(7))) + 3.\nAnswer: -sqrt(13)\/12 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -220 by -20.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 85905 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: Expand (-1 + l**2 + 1)*(l**2 + 1 - 1) + (-17*l**4 + 5*l**3 - 5*l**3)*(-3 - 3 + 5) + 4*l**2 - 4*l**4 - 4*l**2.\nAnswer: 14*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 7:43 AM?\nAnswer: 3:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*g + 110 = -38*g for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 3*l - 2*l = -529, 0 = -4*r + 5*l + 1043. Suppose -2*g - n + 120 = 3*g, -3*n = -4*g + 153. What is the least common multiple of r and g?\nAnswer: 2403","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (2 - (4 + -3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -24d62 - 2?\nAnswer: -24d64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -113*b + 10 + 273*b - 2. Suppose -314*p - 5 = -319*p. What is the tens digit of m(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + z = -3, -5*z = 1 - 6. Suppose -19 + 7 = -l*f. Sort -4, f, 2 in decreasing order.\nAnswer: f, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*657\nAnswer: 1971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 10) to base 3.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1599 divided by -53869\nAnswer: -1599\/53869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in eleven quarters of a meter?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22154614?\nAnswer: 2, 599, 18493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 174 and 986.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g**2 - 1 + 3*g**4 - 2*g**3 - 4*g**4 + g**3 + 0*g**2 in the form z + b*g**2 + s*g**3 + h*g + w*g**4 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -2088 (b) 3 (c) -0.4 (d) 28 (e) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of 3*c**2\/2 + 103. Let j(q) be the third derivative of q**4\/8 + 3*q**2. Calculate -6*i(r) + 5*j(r).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of y**7\/14 - 19*y**5\/5 - 55*y**3\/6 + y - 413. Find the second derivative of i(b) wrt b.\nAnswer: 60*b**3 - 456*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128221 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -125\/57 + -8\/57. What is the third biggest value in -2, z, 3, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -3*x + 6. Let n(u) = 5*u - 11. Suppose 2*w + 5*c = 17 + 7, 3*w + c - 23 = 0. What is w*j(f) + 4*n(f)?\nAnswer: -f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 305 and 30213910?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 - 12*k + 4. Let f be d(-12). Let i(n) = 175001*n**3 - 3*n**2 - 9*n + 20. Let m be i(f). What is m rounded to the nearest one million?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(2*2\/2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3809 + 3422. What is the second smallest value in d, -1\/6, 3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 200577 + 4*w + 200574 + 200581 - 601732.\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*s + 7*s**3 - 21*s - 11*s)*(3 - 3 - 1)*(2 - 2 - 1).\nAnswer: 7*s**3 - 13*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2)*(19*v**2 - 15*v**2 + 6*v**2).\nAnswer: 20*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 3735?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -52*v - 1751*v + v**2 - 196*v - 1 + 1 to w*v**2 + n*v + s and give n.\nAnswer: -1999","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8827)\/273 - -32)*(4 - (4 + -1))*-5.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 34 + -33. Suppose -5*f = -3*a + 32, 4 = -5*a + 5*f + 44. Does 17 divide 63\/l + a + 1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u + 3 + 17*u**4 + 16*u**4 - 32*u**4 - u**3 to the form b*u + p*u**3 + v*u**2 + k + a*u**4 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 AM and 6:16 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 34.6 + -21. What is l rounded to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 252*n**2 - 304*n.\nAnswer: 504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*d - 86*k + 83*k + 11, -4*k = 2*d - 16 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(128) + -1 + 5)**2 + (0 + sqrt(128) + sqrt(128))*-3 + (-2 + sqrt(128) - sqrt(128))**2 + 3.\nAnswer: 16*sqrt(2) + 146","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-199)\/1*(2 + 220\/(-10) + 9). What is the greatest common divisor of 1791 and m?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*d - 136952 = -20*d + 44*d. What are the prime factors of d?\nAnswer: 17, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33\/2 + -12. Is a less than or equal to 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 5, 2.1, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29693 and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -129006.943 rounded to the nearest 1000?\nAnswer: -129000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k - 2. Let u be f(-7). Solve -4*s + 5 = -3*l, u*s - 4*s = -l - 4 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**15*(v\/v**(-4\/5))\/v assuming v is positive.\nAnswer: v**(79\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -684 - -684.2. Let o = 75 - 227\/3. What is the nearest to 1 in n, o, 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -26*t - 1478. Calculate j(-57).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1135 + -1041?\nAnswer: -2220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3*(-6)\/45)\/((-51)\/510))\/1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17940 or 520240\/29?\nAnswer: 17940","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - -49542?\nAnswer: 49545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -5094*a + 2341*a - 1607*a - 2733*a in the form z + s*a and give s.\nAnswer: -7093","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -1\/9 (c) 2\/9 (d) 0.06 (e) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**4 - 14*v**3 + 24*v**2 + 8*v - 32.\nAnswer: 2*(v - 4)*(v - 2)**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 - -5.2. Let z = 41.4 + t. What is z rounded to 0 dps?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5010 divided by 1002?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 6 + -11 + 4?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 9:47 PM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2 + 15\/2*p - 15*p**2 - 15\/2*p**4 + 3\/2*p**5 + 15*p**3.\nAnswer: 3*(p - 1)**5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gmmr when four letters picked without replacement from {y: 2, g: 1, m: 7, r: 4}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -5.6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 4*p + 2602 = 1042, 3*m - 1596 = 2*p. What is the highest common divisor of m and 198?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43377.\nAnswer: 3, 19, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12796418?\nAnswer: 2, 23, 149, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.182 + 1.682. Which is the biggest value? (a) q (b) -6 (c) 4\/7 (d) -5\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 38 and 36.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, 75, -240, 0 in decreasing order.\nAnswer: 75, 26, 0, -240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (194 + -182)\/((-10)\/(-1))\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i\/i**(20\/3)))\/i)\/i*(i*i\/i**(-6)*i)\/i*(i**(-3))**24)**(-1\/11) assuming i is positive.\nAnswer: i**(178\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 22*c**4 - 1 + 20*c**4 + 3*c**3 to the form m*c**3 + d*c**2 + b*c**4 + p*c + n and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p + 39. Let y be q(18). Suppose -y*a + 2*a = -363. Calculate the greatest common divisor of a and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 411 - 407. Solve b*g + 0*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1923 and 218?\nAnswer: -419214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 62111168 to the nearest integer?\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -42 + -45035?\nAnswer: -45110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -x + 11. Suppose 22 = x*p + 10. Calculate the highest common divisor of 33 and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36*y**3 + 2*y - 36*y**3 + 138*y**3 - 29*y**3 - 9819*y**2 - 36*y**3 to the form i*y**3 + x*y**2 + b + d*y and give x.\nAnswer: -9819","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 2*d - 2*i - 375, -4*d + 830 = -5*i. Suppose 213*m - d*m = 17211. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 29*j**4 + 3*j. Let x(m) = 10*m**4 + m. Let v = 3 - 7. Let r(u) = v*z(u) + 11*x(u). Find the second derivative of r(i) wrt i.\nAnswer: -72*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6f0ebb (base 16) to base 5\nAnswer: -3330401032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.51939 - -256?\nAnswer: 256.51939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + (10 - 10 - (-39859)\/35). Let b = k + -1137. Which is smaller: b or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/4 + ((-18)\/(-8))\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 200 and 140?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 125 - 71. Let h be (-3)\/(m\/(-40)) + (-4)\/18. Solve -2*q + i - 3 = -h*i, -4*i = -q + 1 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxx when three letters picked without replacement from {x: 11, d: 6, h: 1, s: 1}.\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38862?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3276.12l in millilitres?\nAnswer: 3276120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.938 rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q - 2. Give o(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*3\/12*(-28)\/(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d**2 - 12*d**2 - 2*d**2 + 3*d**2.\nAnswer: -15*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 3 = -2, 3*k + 38 = 5*z. Let t = -11 + z. Let r = t + 25. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12123123434 (base 5) in base 6?\nAnswer: 1225511034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + -3. Let o = 1 - n. Let g = 586.5 - 586.8. Which is the second smallest value? (a) o (b) g (c) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, p: 8, u: 6, s: 2, c: 1}. Give prob of picking 1 p and 1 e.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2)*(1409*o + 1255*o - 2316*o) - o - 2*o + 2*o.\nAnswer: 695*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19322 - -30646. Is 10 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00184861129 to 5 decimal places.\nAnswer: 0.00185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -46 + 64. Let s = m - 4. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((968\/33)\/22)\/((-1)\/(-3))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 - 3*z**2 + 3*z + 1745. Let y be d(0). Which is smaller: y or 1746?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 43 + 13 = 0. Suppose q*j = j. Suppose 5*i + j*i = 4*d - 93, 0 = 2*i - 6. Does 12 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, d: 3, h: 1, n: 3, t: 2, w: 3}. Give prob of sequence nnwh.\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51, -53, -71, -111, -179, -281, -423, -611?\nAnswer: -851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of x**4\/12 - 2*x**2 - x. Let t = 24 + -27. What is b(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 0 + ((-273)\/(-30) - -1) and -61\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 4*l, 3*l - 38 + 25 = 2*a for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 54) + (3487 - 3483)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hn when two letters picked without replacement from {h: 3, n: 1, a: 1}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4231 - 2137 + 14269 + 5371*c wrt c?\nAnswer: 5371","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12635251 - 45?\nAnswer: -12635316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-7))\/(13\/(-182))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 78983051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2263 - -2244 - (-93 + 2 + -8).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 30\/12*(-4)\/(-1). Sort 5, -5, o in decreasing order.\nAnswer: o, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a day in minutes?\nAnswer: 1296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and -30*(6\/20)\/((-12)\/16)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(4\/44*4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.010306 - -365579314?\nAnswer: 365579314.010306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 5*x = -89, 3*t + 4*x - 9*x = 146. Suppose 5 = -7*u + t. Suppose u*z = 3*z + 504. Calculate the greatest common factor of z and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 188 and 548.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/30 and -58\/681?\nAnswer: 6810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + (2507\/(-188) - 78\/(-1664)*-16)?\nAnswer: -4\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154 + 281*k + 154.\nAnswer: 281*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4003*0.2.\nAnswer: -800.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1512\/(-280)*10\/6.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -0.07 (b) -2\/9 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/9))**(-37)*(g**(-2)*g)\/(((g\/(g*g**(-9\/4)*g))\/g)\/g))**(1\/6) assuming g is positive.\nAnswer: g**(-305\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 PM and 4:48 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4677\/9 + -2 + 12\/9 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**2. Let z(u) = -8*u. Let h(d) = d. Let s(m) = -4*h(m) - z(m). Determine s(v(f)).\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + 109*t**2 - 167*t + 6103. What is p(-111)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s + 14. Let w be r(11). Suppose 18 = y + w*p, y + 0*y = 2*p - 2. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence him when three letters picked without replacement from ihmdfhj.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.1? (a) 37\/4 (b) 0.3 (c) 3 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3024255.\nAnswer: 3, 5, 13, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 76 = 40*m. Solve 3*p + 13 = -5*n, 2*p + 5*n - m = -19 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104217.7 years in millennia?\nAnswer: 104.2177","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 343? (a) -2 (b) 5 (c) 1\/4 (d) 3 (e) 41\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/(-3) + (-6)\/(-3). Suppose d*f - 10 = -0*f. Solve 2*y = -3*h - 18, -3 = -h + 4*y + f for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3.203709 and -8.8.\nAnswer: -12.003709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2288278.4 rounded to the nearest 1000?\nAnswer: -2288000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of 35*u**7\/24 - 7*u**6\/12 + u**5\/10 - 11*u**4\/6 - 7*u. Let r(n) be the third derivative of o(n). Determine g so that r(g) = 0.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -520 + 354. Let q = 294 + i. Suppose -q = -6*w + 2*w. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15618816?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/15330)\/((-19)\/133).\nAnswer: -1\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -14779*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 1)*(-144*m**2 + 1476*m**2 + 646*m**2)*(4*m**3 + 2*m**3 - 4*m**3).\nAnswer: 11868*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 25565345781 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -679*g = -20091 - 13180 for g.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7653?\nAnswer: 3, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 253482 is divided by 1179?\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**2 - 4*d**2 + 0*d**2 + (2 - 11 - 9)*(-195*d**2 - 1415*d + 1415*d))*(-3*d + 4*d - 3*d).\nAnswer: -7018*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 23*h**3 + 11*h**2 + 15*h - 3. Give w(-2).\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 970 divided by 195?\nAnswer: 194\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/17)*u*u*u**1)**(2\/15)*(u**(-4\/7)\/(u\/u**(-2)))\/((u\/(u**(-1)*u))\/(u*u\/((u**(-4)*u)\/u)*u)) assuming u is positive.\nAnswer: u**(5077\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 296542, 296494, 296446, 296398, 296350?\nAnswer: 296302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -4*m. Suppose -5*y - 2*f = -10, -3*y + 0 = -f - 6. Let x be m - (0 - y - 42). What is the highest common factor of 4 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1146, -1, 0.08, 5, -0.0336?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 523717 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 23) + (21 - (-21 - -43)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j**2 - 89*j - 231. Give w(47).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 10690 (c) 0 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -73*o - 86. Is j(-15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 2*w = -4*k + 88, -5*w + 110 = 5*k. What is the smallest common multiple of k and 54?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3, -7179, 5, 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.05 (b) 4 (c) -3 (d) -0.1 (e) 754 (f) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 428 + 15322*q**3 - 4338*q**3 - 428.\nAnswer: 10984*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 715?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 171.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 13917*-23\nAnswer: -320091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 23*t + 203. Calculate b(-8).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 31557, 63117, 94679, 126243, 157809?\n\"Answer: j**2 + 31557*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 711476, -1?\nAnswer: 711476","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -21*r**2 + 9716*r - 38531. Calculate f(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44\/(-6)*(-4 - 23)\/3 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.7 + 1.7. Let w = -3\/10 + -1\/5. Is w >= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 11) to base 15.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/4*4\/(-6). Suppose -2*w - 5*d - 13 = 0, -4*w - 5 = 2*d + 13. Suppose 545*g = 190 + 4170. Put w, g, 0, o in increasing order.\nAnswer: w, o, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 4*z**3 + 83*z**2 + 195*z - 11. Let q(w) = 2*w**3 + 42*w**2 + 97*w - 6. Let l(f) = 6*j(f) - 11*q(f). What is the second derivative of l(i) wrt i?\nAnswer: 12*i + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -5*m - 5*s, 74*s + 22 = 3*m + 72*s for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4789 - -5240. Calculate the remainder when g is divided by 57.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 967501267?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134762 is divided by 37?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32*y - 183 - 69*y - 1346 + 38*y to p*y + d and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 3:39 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1069 and -2.78383?\nAnswer: 2975.91427","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -311*g - 11*n = -307*g - 13*n + 52, -2*g = -3*n + 34 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3053, -3051, -3049, -3047, -3045?\n\"Answer: 2*f - 3055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 - 20. Let o be (-1 - u) + (-28)\/7. Which is smaller: o or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -748 + 1123.5. What is r rounded to the nearest ten?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -77 + 109. Does 16 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 0*x**2 + 19*x + x**2 + 12 + 6. Let g(h) = -2*h**2 - 37*h - 36. Let j(d) = -3*g(d) - 5*t(d). What are the prime factors of j(-17)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1203 - -3?\nAnswer: -1200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -2*c**3\/9 + 3604*c**2\/9 - 1623602*c\/9 = 0.\nAnswer: 0, 901","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*l - 324099 - 207695. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, o: 1, z: 2, q: 4}. Give prob of picking 2 z and 1 q.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 40\/122563 or 1?\nAnswer: 40\/122563","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16197 + 16196 - 19*s + 16*s + 10*s.\nAnswer: 7*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a kilogram in grams?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 199 and 14632271.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 281772 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13688*i**2 + 13689*i**2 - 95 + 52.\nAnswer: i**2 - 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-14) + 8\/(-56). Suppose 4*g = -b*g + 92. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 0, 4, 3, 1 in increasing order.\nAnswer: -0.1, 0, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(4\/(-182))\/((-80)\/56*(-7)\/(-70))?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6321?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, n: 2, r: 1, y: 2, o: 1}. What is prob of sequence mr?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28 - 9. Let p be (3 - 6)\/(4\/((-208)\/6)). Let a = -20 + p. Solve -k = 5*s + a for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h = 40 + 8. What is the third smallest value in 43, h, 4?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of 5 - b**2 - 667\/3*b**3 + 9*b. Let m be o(-9). Round m to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-1 + -1) - 23 - (-6 + 1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.5, 2\/43, -48, 3, 1\/10, -1?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (-4 - (-15 + 9 - 6) - -16)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7870077?\nAnswer: 3, 419, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 444812 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -1.1, 2, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 162\/55 not equal to -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.5 - 10.2. Let p = 4 + s. Which is the smallest value? (a) -0.4 (b) 3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60368 and 709142896.\nAnswer: 709142896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/40 - (-2)\/8. Suppose 2*w - 4*y - 276 = a, 9*y - 4*y = 3*w - 410. Let k be 12\/(-42) + w\/14. Which is smaller: 8 or k?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15827389?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2892 and -8.0795.\nAnswer: -8.3687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of -m**5\/120 - m**2 + 3. Let u(i) be the second derivative of g(i). What is y in u(y) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 318?\nAnswer: -1\/318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**0)**26*(w**(-5)*w)\/w**(-6) assuming w is positive.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 3*((sqrt(539) + -1 + 5 - sqrt(539)) + (sqrt(539) + 3)*-4) + -4)**2.\nAnswer: 5040*sqrt(11) + 78516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1023 + -988. What is the remainder when 100 is divided by k?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 5:47 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 - -23. Let y(l) = -l**3 + 9*l**2 + 6. Suppose 2*k = -236 + 280. What is the remainder when k is divided by y(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 9*v**2 - 8*v + 5. Give l(-6).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 2*f + 120415, 5*f - 481624 = -4*w + 4*f. Suppose -4*o - w = -668407. What is o rounded to the nearest 10000?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (-18)\/(-10)) + 506\/(-1430).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c**(1\/2)\/c))\/c)\/c)**(-12)*(c**(-2\/5))**(-21\/4) assuming c is positive.\nAnswer: c**(81\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46419 is divided by 50.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/2 - (-15779)\/18. Let w = -327 - -1208. Let c = s - w. What is the common denominator of 119\/6 and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(900\/10))\/(17\/(-5) + 3).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103883893 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176 = -1279*n + 649*n + 638*n for n.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 74 - 70. Calculate the greatest common divisor of 3 and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/216 and 151\/576.\nAnswer: 1728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -73, -134, -207, -292, -389?\n\"Answer: -6*l**2 - 43*l - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of c**4\/8 - 5*c**3\/6 - 2*c**2. What is the units digit of x(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1713008958.\nAnswer: 2, 3, 389, 733937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6\/181 (b) -146 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 1314 = 4*h, 16*h - 13*h - 1980 = -3*n. Is 12 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f**3 + 7*f**2 - 7*f - 3. Let l(x) be the first derivative of -4\/3*x**3 + 2*x - 13 + 2*x**2 + 1\/4*x**4. What is 7*l(s) + 4*t(s)?\nAnswer: -s**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 437.816 - 0.46?\nAnswer: 437.356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 17*k + 500. What is g(-28)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 72, 9, 3, 2, -1\/7?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 234 and 2730.\nAnswer: 8190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 4 = 3*z, 2*l + 3*z - 1 = -3. Solve i + l = 7 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1311)\/(-2622))\/((-9)\/16)\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one quarter of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ubew when four letters picked without replacement from weuweewuwubbue?\nAnswer: 16\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2610)\/(-5510))\/((-120)\/25840)?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 116118 - 116221.862. Let n = g + -0.888. Let u = -108 - n. Round u to one dp.\nAnswer: -3.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.52 from 6342551.\nAnswer: 6342550.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/16)\/(x*x**(-5)))\/((x**(-1)\/x*x)\/x**(2\/31))*x*(x\/(x*x\/x**7*x))\/x*x*((((x\/x**(-7)*x)\/x)\/x)\/x*x)\/x*x**(1\/2)\/x**(-1) assuming x is positive.\nAnswer: x**(9177\/496)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-294)\/56*(-88)\/(-77)*(-6)\/22.\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 554 a factor of 7399411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j + j**3 - j**2 - 5*j**4 + 113*j**4 + 20*j**4 + 32*j**4 to r*j + h*j**2 + g*j**3 + d*j**4 + v and give d.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tjakiajajaqaakj. Give prob of picking 1 k and 1 a.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6368 - -26569. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/7*((1 - -4) + (-372)\/24)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-714)\/(-1260) + (21\/90 - 4\/10)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11359 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5280 by 890.\nAnswer: -528\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22435*z**2 + 10019*z**2 + 10131*z**2)*((-2*z**2 + z**2 + 2*z**2)*(2*z + 0*z - z) + 3*z**3 + 2*z**3 - 4*z**3 - 6 - z**3 + 6).\nAnswer: -2285*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 245?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1268690?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 37964904, 75929811, 113894718, 151859625, 189824532, 227789439?\n\"Answer: 37964907*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 4 = 4*s, 0*i + i = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -7 + 5*m - m**2 + 0*m + 4*m. Let d be h(9). Let j = d + 11. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15297.68623 - -0.29.\nAnswer: -15297.39623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/5)*m)**(-46)\/(m**(1\/4))**(-1\/9) assuming m is positive.\nAnswer: m**(-9931\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171*t = 181*t + 60 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - -1. Suppose 3*o - 204 = -12*c + 8*c, -2*o - 3*c = -136. What is the smallest common multiple of h and o?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a century in months?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 5233020?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**2 + 115130*t + 230280.\nAnswer: -5*(t - 23028)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3109216456.\nAnswer: 2, 59, 6587323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m + 2\/5*m**4 - 18\/5*m**2 - 6\/5*m**3 + 0.\nAnswer: 2*m*(m - 5)*(m + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - 2. Suppose -5*d + 6 = -4. Suppose 0 = x + d*x. Sort 5, v, x in ascending order.\nAnswer: v, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1782 and 17819\/10 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (2 + sqrt(19) + -2 - sqrt(19) - (-1 + sqrt(19) + -3)) - -3*(sqrt(171)\/sqrt(36) - sqrt(171)\/(sqrt(18)\/sqrt(2))))**2.\nAnswer: -45*sqrt(19) + 799\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 67798419121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33 + -28. Let d(x) = h*x**2 + 8*x - 3*x**2 - 14 - x - x**2. Is d(-10) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8103 and 111.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4376 divided by 1356?\nAnswer: 1094\/339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5070110 and 94570?\nAnswer: 1930","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 255, 12, 9, 1, 6, 2, 4 in ascending order.\nAnswer: 1, 2, 4, 6, 9, 12, 255","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 (base 10) in base 8?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 3*h - 5. Let a be (-10)\/(-45) - 758\/(-18). Let c = 43 - a. Put 0.1, h, c in ascending order.\nAnswer: 0.1, c, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 14 = -13. Which is the closest to -1\/3? (a) 12 (b) -1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 AM and 5:23 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25830099851\/22134 - -24507223\/21. Let f = 10\/527 - u. Calculate the common denominator of -59\/3 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 PM and 11:26 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19411, 9181, 0 in increasing order.\nAnswer: -19411, 0, 9181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 + 4*z**2 + 4*z + 1. Calculate n(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 + 2*c**2 + 2*c + 5. Let h be b(0). Let d(f) = 2*f**3 - 6*f**2 + 8*f - 15. Let i be d(h). Which is smaller: i or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-one fifths of a kilogram in grams?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -197*j + 741*j + 11 - 187*j - 175*j - 6 + 7 - 180*j.\nAnswer: 2*j + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1503201*-11.\nAnswer: -16535211","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 69\/(-161) + (-146)\/(-14). Let a(m) = -i*m + 20*m - 14*m. Let z(f) = 5*f. Calculate a(z(l)).\nAnswer: -20*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 11:59 AM?\nAnswer: 2:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -583?\nAnswer: -291.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2311237\/108 + 21400. What is the common denominator of -23\/756 and c?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111 + -10000100000101001111100?\nAnswer: -10000100000101001101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3 and -2198075883579?\nAnswer: 2198075883582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 75, 85, 99, 117?\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 31 + -29 - (0 - 4)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -455369758.133 + 455624774. Let l = w + -255068.8669785. Let y = -53 - l. What is y rounded to 6 dps?\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 - 7*s + 6. Let w be n(7). Suppose -3*q + w = -15. List the prime factors of q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -284486, -284482, -284478?\n\"Answer: 4*f - 284490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -41*b**2 + 737*b + 8. Let z be i(18). Is z greater than -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of -o**5\/60 + o**4\/3 + 2*o**3\/3 - 11*o**2. Give x(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.24923819 to 2 decimal places.\nAnswer: 3.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22*v**3*w - 4*v**3 - 3*v**2*w**3 + 4*v**2 + 168*v*w**3 + 14*v*w**2 wrt v?\nAnswer: 132*v*w - 24*v - 6*w**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from atfffaqwapwf. Give prob of picking 1 p and 3 a.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of -n**3\/6 - 26*n**2. Let h(r) = -10*r - 1. Let y(j) = -c(j) + h(j). Let a(x) = -4*x. Determine y(a(d)).\nAnswer: 40*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 200 + -13a?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -11561*v**2 + 9*v - 9. Let b(q) = -5780*q**2 + 5*q - 5. Determine -9*b(d) + 5*j(d).\nAnswer: -5785*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of 1\/6*p**4 + 0 - p - 1\/6*p**3 - 1\/2*p**2. Let x be l(-1). Solve 3*o - x*m - 1 = -2, -5*o = 2*m - 25 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25)\/(-5)*(32\/(-176))\/(-2).\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 AM and 4:40 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4*(12292\/16)\/7. Let t = i + 650. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 269 + -273. Sort -0.2, b, 5\/19 in decreasing order.\nAnswer: 5\/19, -0.2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a**2 - 8930*a - 318675 = 0 for a.\nAnswer: -35, 1821","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x - 4. Let t be w(-13). Let a = t + -30. Let l = a - -47. What are the prime factors of l?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/3)\/(-1)*15\/25.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 738730847 to the nearest integer?\nAnswer: 904","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/4 + 240\/(-32). Let t be g - 2\/3*-6. What is the nearest to -1 in 3, t, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 74*i + 6. Let k(p) = -84*p - 5. Let y(f) = -7*k(f) - 8*r(f). Determine y(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2762 is divided by 79?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14697 is divided by 1336?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-50 + 15 - 148)*(-5*o**2 + 4*o**2 + 2*o**2)*(6*o**2 + 4*o**2 - 8*o**2 - 4*o) in the form l + z*o**2 + n*o**4 + x*o**3 + b*o and give x.\nAnswer: 732","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (539\/(-165) + 3)\/(12\/10). What is the closest to 0 in r, -5, 3.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, v: 3, x: 5, w: 1, l: 1, g: 2}. What is prob of sequence vl?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 PM and 2:22 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -8*s - 46. Let q be y(-6). Factor -28*n + 3*n**q - 5*n**3 + 40*n - 3*n**4 - 7*n**3.\nAnswer: -3*n*(n - 1)*(n + 1)*(n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -10. Suppose 2*u = -r*x + u + 1, 4 = -3*x + 4*u. Solve 2*i - i = x for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/((d**5\/d)\/d))\/(d*d\/(d**(-22)*d)*d))**(2\/63))**(-13) assuming d is positive.\nAnswer: d**(676\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -8. What is the tens digit of 426\/q*(-15)\/(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35 + -25. Suppose s - 3*s = -q. What is the second derivative of -2*a**s + 2*a**5 + a - a**5 wrt a?\nAnswer: -20*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 1532*w + 471892. What is u(-308)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 + 7*w - 2. Let h be v(7). Let s = -34.5 - -34. What is the third biggest value in 2, s, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1320 (base 9) in base 4?\nAnswer: 33132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (50*(-49)\/980)\/(10\/(-26)).\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 84 to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 5*r**2 - 3*r + 4. Is i(2) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -299582741 divided by 4?\nAnswer: -299582741\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 106*x**2 - 23*x. Let w(b) = -213*b**2 + 41*b. What is 7*t(j) + 4*w(j)?\nAnswer: -110*j**2 + 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/((y*y\/y**(-2))\/y*y))\/y)**48\/(y**(-3\/5)\/y)**16 assuming y is positive.\nAnswer: y**(-832\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 65, 11, 5 in increasing order.\nAnswer: 5, 11, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -521 + 533. What is the third biggest value in -4\/15, g, 1\/2?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + 0 + sqrt(5)*-1 + 1 + 5)*-3*1 + 5)**2.\nAnswer: -96*sqrt(5) + 301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 827*v + 312 = 866*v for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -22 times -2.76573\nAnswer: 60.84606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 4*q**2 + 4*q + 8. Let i(b) = 3*b**2 + 3*b + 5. Let w(l) = 5*a(l) - 7*i(l). Let u = 1 - 3. Let d = -6 - u. Determine w(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*l**2*z**2 - 2*l**2 - 46*z**4 + 353*z wrt z.\nAnswer: 6*l**2 - 552*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1170 = -23*o + 18*o. Let h = o - 121. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/13 (b) 34\/9 (c) -4\/5 (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000083652223 rounded to seven dps?\nAnswer: -0.0000837","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 18 = c, -3 = c - 5. Suppose p - 2*p + 13 = x, 0 = x + l*p - 25. Does 9 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49347?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 99, 62, -37, -228, -541?\n\"Answer: -5*s**3 - s**2 + s + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22.4 - -32.8. Let u = -35.2 + o. Which is bigger: u or -6?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in f**5 + 103*f**4 + 2494*f**3 - 8110*f**2 + 8321*f - 2809 = 0?\nAnswer: -53, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 634c6 (base 14) to base 11\nAnswer: 154097","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2352)\/(-882))\/((-1 - 1)*1)*27\/6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*a**3 - 90*a**3 - 22*a**3.\nAnswer: -100*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -338 = -78*h + 130 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/3 (b) 1\/4 (c) 2 (d) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -710*g - 905*g - 142*g**2 + 78*g**2 + 65*g**2 + 440*g.\nAnswer: g**2 - 1175*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 304186755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 divided by -6?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(968) - (sqrt(968) + 2 + -2)**2 - sqrt(968)) - ((sqrt(8) + -1)*-1 + sqrt(16)\/(sqrt(4)\/sqrt(2))).\nAnswer: 2903","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -60149.914 rounded to the nearest integer?\nAnswer: -60150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -s**2\/7 + 5154*s - 46486503 = 0.\nAnswer: 18039","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-8)*d)**(-40\/3)*d*d*(d**(1\/21)*d)\/d*d*(d**(-22)\/d*d)\/d assuming d is positive.\nAnswer: d**(1541\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 44638, 355992, 1200794, 2845768, 5557638?\n\"Answer: 44454*d**3 + 176*d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - 1061516?\nAnswer: -1061513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5968 - 0?\nAnswer: -5968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -659 (b) 33254 (c) -1.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2280 - 2280.3. What is the second biggest value in q, 0.2, -2, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**0)**(3\/28)\/(y**(1\/10)\/(y\/(y\/(y**(6\/5)\/y)))) assuming y is positive.\nAnswer: y**(1\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2275.\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/61022973 or -1?\nAnswer: -4\/61022973","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.905 + -1.205. Which is the smallest value? (a) -4\/9 (b) w (c) -5 (d) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33108880 and 4480.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-4) + 3)*2. Suppose v*a = -14 + 79. Let u be a\/5 - (-12)\/30. Solve 0 = -y + 2*y + u for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 113*x**2 + x - 1. Let b be j(-1). Let f = b + 141. Is 36 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**2 + c**2 - 4*c**2 + (-c**2 - 3*c**2 + 2*c**2)*(3 - 3 + 2) - 2*c + 2*c - c**2 + 3 + 3*c**2 - 3 + (2 - c - 2)*(3 - 3 - c) + c**2 + 0*c**2 + 0*c**2.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -740514497 divided by -283?\nAnswer: 2616659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 429 a factor of 548576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 591, -2523, -5, 51, -3.\nAnswer: -2523, -5, -3, 51, 591","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 2\/3 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - 1139\/(-170)) + (-6)\/(-20)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, m: 5, p: 1, a: 6, k: 5}. Give prob of picking 1 n and 1 k.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -354, -1568, -3598, -6450, -10130, -14644, -19998?\n\"Answer: -w**3 - 402*w**2 - w + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != -5729\/123358?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -59 - -498. What are the prime factors of s?\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + -15. Let l = 5 - 3. Suppose -3*t + 2*z = 4, -6*z - 10 = 3*t - l*z. Which is the third smallest value? (a) f (b) t (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 2 = -5 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -28, 0.2, 2.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/6*8\/(-78).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -83*j. Let v(r) = -2*r**2 - r + 10. Let g(o) = -55*o**2 - 22*o + 220. Let w(f) = -g(f) + 22*v(f). What is w(u(x))?\nAnswer: 75779*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -79616, -159294, -238972, -318650, -398328?\n\"Answer: -79678*m + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.4 (b) 4\/5 (c) 8 (d) 2742 (e) 0.124\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 140\/84 + (-682)\/402. Which is the closest to -2\/7? (a) -0.3 (b) 30 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(540) - sqrt(540)*-4 - (sqrt(60) - (sqrt(60) - (sqrt(60) + sqrt(60) + sqrt(60)*-4 - sqrt(60))))*-4)\/((sqrt(12) - -4*5*sqrt(12)) + -3*-5*sqrt(12)).\nAnswer: sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*n**2 + 4731*n + 1350 = 0. What is n?\nAnswer: -225, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -26\/11 (b) 2 (c) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52343?\nAnswer: 17, 3079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1536490, -1536478, -1536444, -1536376, -1536262, -1536090, -1535848, -1535524?\nAnswer: -1535106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 329, 3491, 12499, 30275, 59741, 103819?\nAnswer: 165431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.80496 to 1 decimal place.\nAnswer: 13.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k**2 - 45*k + 64. Let r be v(21). Which is bigger: 86\/7 or r?\nAnswer: 86\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2165*a**2. Let z(j) = -3*j**2 - 29*j. Determine z(w(f)).\nAnswer: -14061675*f**4 + 62785*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1104 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 118145.2 grams in kilograms?\nAnswer: 118.1452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - (-24)\/14) + 10\/35. Let w be 9*4\/(4 + 0). Suppose w = -0*h + 3*h. Solve h*a + 3 = -t*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1806133295?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fyim when four letters picked without replacement from {d: 1, e: 2, y: 1, i: 1, f: 1, m: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*r + 5284 - 4745 = 0 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3659 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(972)*-1 + 4)**2.\nAnswer: -36*sqrt(3) + 973","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 191552981?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 g when three letters picked without replacement from nggggggngggggggngn.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 17528647 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1026771 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 220 - 216. Factor 68*c + 1714*c**2 - 877*c**2 - 905*c**2 - 24 - 4*c**b + 28*c**3.\nAnswer: -4*(c - 3)*(c - 2)*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rmmn. What is prob of picking 1 m and 1 r?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3561.023948 rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1869 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: Four letters picked without replacement from bdyfr. What is prob of sequence rrrb?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1093931 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 3*d = 80428, -2*n = d - 3*d - 40200. Calculate the greatest common factor of n and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 73 = 73. Suppose 39*u - 10*u - 26158 = c. List the prime factors of u.\nAnswer: 2, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*u + 45 - 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -67139, -134282, -201425, -268568?\n\"Answer: -67143*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -54 + 216 - 70 - 70?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1473285?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2562)\/21*(-14)\/4.\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -234209 and -13755.\nAnswer: -247964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = 3*b - 0. Calculate the remainder when 51 is divided by b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -0.4 (c) -2.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 929328.\nAnswer: 2, 3, 19, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3 + 39646*k**2\/7 + 5664*k\/7.\nAnswer: -2*k*(k - 2832)*(7*k + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 37381328.9999905 - 37381339. Let u = x - -10. What is u rounded to 6 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3 (b) 5\/6 (c) -1.3 (d) 3 (e) -1\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (42\/(-4))\/(279\/(-186)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 - 4*q**2 + 3*q - 1. Let l be t(-4). Let s = 19 + l. Solve 2*g = -h - 4*h - s, 3*g = 4*h - 9 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101101220211 (base 3) to base 6.\nAnswer: 23440251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*f**2 - 2*f**2 + f**4 - 1 + 0*f**2)*(-f + 5*f - 3*f).\nAnswer: f**5 + 4*f**3 - f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 + 40*k + 247. Suppose 2*w = 4*w + 2*h + 14, -5*h = -w - 7. Let r be l(w). Calculate the greatest common factor of 464 and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*w - 16*w = -369. Suppose 5*o + c - 837 = 0, -3*c - w = -o + 54. Is 10 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 + n. Let f be t(0). Suppose w = -f*w + 5. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of -4*k**3\/3 - k**2 + 285*k - 1. Give g(-3).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 - -1dcc379?\nAnswer: 1dcc372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-13 - -93)\/(0\/(-1) + 1). Suppose -o = -3*i - z, z - 4 = 5*z. What is the remainder when 160 is divided by i?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-5)*k\/(k**20*k) assuming k is positive.\nAnswer: k**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 6*u + 196. Determine p(-38).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do 427 and 3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29750323?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 1359 + 566 = 4*i, 5*i = -3*u + 2402. What is the hundreds digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3711 = -3*p + 31026. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d**6 - 3140*d**5 + d**3 - 131*d**2 + 31.\nAnswer: 240*d**3 - 188400*d**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 298688\nAnswer: -1194752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*q + 25*q + 3 = 0. Suppose 3*m + 0*o - q*o - 210 = 0, 0 = -2*m + o + 135. What is the highest common factor of 26 and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -8*g + 8. Let y(o) = 12*o - 12. Suppose -13*w - 4 = -14*w, -4*a + 52 = 5*w. What is a*q(u) + 5*y(u)?\nAnswer: -4*u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*z**5 + 49923*z**4 - 1992666*z**3 + 9064890*z**2 - 12351459*z + 5229315 = 0. Calculate z.\nAnswer: 1, 3, 35, 16601","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + 16*u**2 + 20*u + 74. Calculate a(-15).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from skossosssowssyhsws. Give prob of sequence hyo.\nAnswer: 1\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fytu when four letters picked without replacement from {f: 2, t: 1, u: 1, m: 1, k: 1, y: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3662311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a tonne in kilograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 24371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141557 is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/(4 - 1)*(-3)\/6. Suppose 3*i + 816 = 5*i - t*b, 3*i - 5*b - 1214 = 0. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 252 (base 13) to base 15\nAnswer: 1c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1240233 (base 7) in base 4?\nAnswer: -213103131","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Is -41944969 at most -41944962?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 4*j + 3*w, 3*j = 16*w - 11*w + 59 - 35 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -f - 248, -4*b + 4*f = -2*f - 1008. Calculate the remainder when 1185 is divided by b.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/1518*3)\/(9292\/25553).\nAnswer: -3\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 378459?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d + 7. Let s = -3 + 10. Let c be h(s). Let w = -6 + c. Is 7 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -14, 7, 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6865643 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-50)\/6 - -8)*(-3 + 4)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 659 and 5?\nAnswer: 3295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -163\/12309 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 4*z**5 + 28*z**4 - 252*z**3 - 892*z**2 - 616*z = 0.\nAnswer: -11, -2, -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17\/(-5) - -5)\/(((-96)\/150)\/(-4))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*t + 3616 = -17*t. What is the remainder when 333 is divided by t?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 59, 135, 241, 377, 543?\nAnswer: 739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 175491?\nAnswer: 3, 17, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (28\/(-2) + -563)\/((-1)\/2) and 92?\nAnswer: 53084","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 PM and 8:55 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -9 + 6 - 5*h - 7. Let o be v(-5). Let u(f) = 2*f + 37. Let k be u(34). Calculate the highest common factor of o and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 110922 and 8322069.\nAnswer: 2919","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2187135*r**3 - 14*r**2 + 17324*r + 122?\nAnswer: 13122810*r - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*2*(sqrt(63) - sqrt(252)\/sqrt(4)))\/(sqrt(225) + (sqrt(225) - (sqrt(225) - 2*sqrt(225) - sqrt(225)))*-5 + sqrt(225)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -19581104 divided by -1019\nAnswer: 19216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 + 4*d + 3. Let x be c(-4). Which is smaller: 2 or x?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 645372938?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 287?\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + -1. Suppose -4*t + p = -4. Suppose -29 = 2*v - 7*v + 3*b, 4*v - b - 26 = 0. What is the highest common divisor of t and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 28e0b - 0?\nAnswer: 28e0b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20*y - 401*y**2 - 20*y + (0 + 0 - 2*y)*(5*y - 3*y - 3*y).\nAnswer: -399*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3249 - -3245. What is the nearest to -0.1 in -17\/14, 0, -0.4, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/131170 and -149\/42367910?\nAnswer: 42367910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 48932875 to the power of 1\/3, to the nearest integer?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-2 - 36) + (-27 - -31) + 7.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54 and 9655470.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16082543?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven quarters of a hour in seconds?\nAnswer: 33300","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 274 - 6303\/23. Let n = t - 19\/92. Which is the biggest value? (a) -2 (b) n (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-116)\/(-132)*(-141)\/6. Let s = d + 125\/6. Let y = -5 - -10. Put y, -2\/23, s in ascending order.\nAnswer: -2\/23, s, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -78*s**2 + 94*s - 16 = 0. Calculate s.\nAnswer: 8\/39, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (-12 + 8) - 6.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of -y**6\/120 + y**5\/60 - y**4\/24 - y**3\/6 + y**2. Let b(a) = 56 - 173 + 57 + a**2 - a**3 + 58 - 2*a. Give b(k) - 2*r(k).\nAnswer: k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 492*u - 908 wrt u.\nAnswer: 492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 + 107*a**2 - 191*a - 1975. Calculate the lowest common multiple of u(105) and 955.\nAnswer: 3820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -37439 - -37442. Solve 0 = -k*h - r - 11, -4*h + 2*r = -15 + 33 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136 is divided by 22?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 9*c + 1. Let q(w) = 58*w + 11*w - 78*w + 3*w + 10*w + 1 + w. Suppose p - 9 = -3*n, 3*n = 4*p - 14 + 38. Give p*u(y) + 5*q(y).\nAnswer: -2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 7*l**2 - 4*l - 24. Let w be v(-7). Suppose -o - 12 = -2*o. Find the second derivative of 35*p + 0*p**w + o*p**4 - 54*p wrt p.\nAnswer: 144*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1))**(19\/3)*(a*a**(-2\/11))\/a**(-5) assuming a is positive.\nAnswer: a**(-17\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -101975\/96642 - 2\/5369. Calculate the common denominator of j and 57\/508.\nAnswer: 4572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33400248?\nAnswer: 2, 3, 7, 198811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20 + 24 - 8) + 2.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/2 of a millimeter?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 0 (b) -32 (c) -3 (d) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 806 is divided by 266.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 p when two letters picked without replacement from pssspssspsssss?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence phb when three letters picked without replacement from phpgbjp?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1336562 to the power of 1\/3, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.7 + -1.3. Which is greater: 0.1 or q?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 2*n**3\/9 - 278*n**2\/9 + 2332*n\/3 = 0.\nAnswer: 0, 33, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-4*n**2 + n**2 + 5*n**2)*(-4*n + 3*n - n) + n + 3*n**3 - n)*(267 + 97 + 132)*(0 + 6 + 2) in the form k*n**2 + o*n**3 + a + u*n and give o.\nAnswer: -3968","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15732 - -15890.128. Let t = n - 158. Round t to two decimal places.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 6*d - 15. What is the units digit of b(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5065 + 5065.06. Which is greater: m or -0.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -13. What is the second derivative of -2*o + o - x*o**4 + 9*o + 2*o**4 wrt o?\nAnswer: -132*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -bac61 + -3?\nAnswer: -bac64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8617 at most as big as 8616?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -696 - 148 = -3*o - n, -o - n = -278. Let w = -121 + o. Is 161 not equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -162424 and 86.\nAnswer: -13968464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75 + 59 + (-1 - 1 - -60 - 3).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4\/7, 148 in descending order.\nAnswer: 148, 3, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5114111 (base 8) to base 14\nAnswer: 271c37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((4\/(-12))\/((-10)\/(-390))).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(6\/6)*1\/2\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 43 - 51.5. Let y = i + 8.14. Let q = y + 0.56. Which is the fourth biggest value? (a) q (b) -4 (c) 4\/11 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a - 16. Suppose 50*b = 65*b + 135 + 45. What is s(b)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -3*p**2 + p - 2. Let m be u(2). Let f(q) = 6*q - 60. Calculate the least common multiple of f(16) and ((-8)\/(-6))\/((-8)\/m).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-z - z + z)*(4*z**2 - 5*z**2 + 3*z**2) - z**2 + 5 - 555*z**3 + 567*z**3 + 1 as x*z + c*z**3 + w + i*z**2 and give c.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1405376 decades in centuries?\nAnswer: 0.01405376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of v**4\/6 + 19*v**3\/6 - 23*v. What is the second derivative of k(t) wrt t?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 55454964*x**2 + 3*x + 6183847.\nAnswer: 110909928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 3*t. Suppose 0 = 2*s + 5*p - 135, t = -2*p - 7 + 1. Suppose 15*x = -47 + 272. Calculate the greatest common divisor of x and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1012 to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*l**3 + 20 - 12 - 8.\nAnswer: -6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of 2311*v**4\/12 + 1559*v. Let c(x) = -x**2. Give f(c(w)).\nAnswer: 2311*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -3 + b**3 - 3*b**2 + 4 + 0*b**3. Let y(g) = g**3 - 8*g**2 + 7*g + 16. Let w be y(7). Suppose 4*j = -4 + w. Calculate n(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 2*h**2 + 4*h + 5 + 0*h)*(3 - 2*h - 3).\nAnswer: -4*h**3 - 8*h**2 + 4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 5. Suppose -2*k + 2*r = k - 17, -12 = -2*k + b*r. Suppose -5*h = -5*m - 25, 2*m - 53 = -k*h - 0*m. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of -12*l**5\/5 - 8*l**4 - 4*l**3 + 4*l**2 + 4. Let z(w) = 0. Calculate w.\nAnswer: -2, -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40181, 80289, 120253, 160001, 199461, 238561?\nAnswer: 277229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -17 - (58 + -53 - 26)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 395.4329um to kilometers.\nAnswer: 0.0000003954329","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 5:44 PM?\nAnswer: 7:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = -5*m + 2*z + 24, 3*m - 78 + 39 = 7*z for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -973264153*4.\nAnswer: -3893056612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -640 - 312 = 68*a for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r + 32. Let z be j(18). What is the highest common divisor of z and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 344, 355, 380, 425, 496, 599, 740, 925?\n\"Answer: q**3 + q**2 + q + 341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0761304 to 3 dps.\nAnswer: -0.076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*w + 16*w - 11*w.\nAnswer: 27*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8989192 years to centuries.\nAnswer: 0.008989192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-555)\/185*((-384)\/(-6))\/4.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*2*(5 + 5 + (1*sqrt(75) - sqrt(75)) + -3))**2 + 1.\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/13)*a)\/(a\/a**(-4))*(a**0)**(8\/7) assuming a is positive.\nAnswer: a**(-53\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/524 > -79?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 83 = 3*b + 4*f, -5*f = 4*b - 50. Let x(l) = 28*l + 98. Let q be x(b). What is the highest common divisor of q and 148?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of -z**5\/20 - z**4\/12 + z**3\/6 + 7*z**2\/2 + 7*z. Let p be c(0). Find the common denominator of 109\/14 and -3 + p\/((-42)\/99).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 386395 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3770 and 175206980.\nAnswer: 3770","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -27*w**2 + 17*w - 53. Let m(u) = -17*u**2 + 11*u - 35. Let i(j) = -8*m(j) + 5*t(j). Calculate i(6).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -28699*f**2 + 6*f - 40. Let c be r(-10). What is c rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1644\/3199 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 6*q**3 - 11*q**2 - 2*q + 4. Let n be (-7 + -3 + 7 - -8)\/1. Is o(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*x**5\/5 + 87*x**4\/5 + 2088*x**3\/5 + 840*x**2 - 8880*x + 10800 = 0. What is x?\nAnswer: -10, 2, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1500, 1502, 1504, 1506?\n\"Answer: 2*o + 1498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -78\/103, 4, -4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12171732 to the power of 1\/4, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 689009 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 3 y when four letters picked without replacement from ryrryylyry?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + f + 586570, -5*k = 658*f - 656*f - 1466425. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 8*x**2 + 2*x - 3. Suppose -y + 0*y - 5*a = -3, 4*y - 117 = a. Suppose 3*s + y = -s. Calculate the remainder when q(s) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/5 - (1 + 16\/(-10)). Let t(n) = -n - n**3 - 5*n**u + n**2 + 5*n**3 - 4. Suppose -35*z = -41*z. What is t(z)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45044501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 861382224?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 273 and 5376?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - -111. Calculate the greatest common factor of 34 and u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -797, -561, -327, -95?\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 77113 - 35246. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -x**2 - 2602*x**5 - 3*x**2 - 6592035*x + 6592036*x - 5 wrt x.\nAnswer: -156120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-3*sqrt(8064) + sqrt(8064) - sqrt(8064)) + sqrt(8064))\/((-3*-1*sqrt(88))\/sqrt(11)).\nAnswer: 64*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 5296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 - 7 = 4*a. What is the units digit of (15\/(-6))\/(1\/a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -36424\/21 or -1735?\nAnswer: -1735","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -23?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 353*u + 172*u = 278*u - 272*u - 8304 for u.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 42815096 divided by 88828\nAnswer: 482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2373.031616 - 2373. What is d rounded to 4 dps?\nAnswer: 0.0316","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-342)\/(-27) - (18 - 5).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 PM and 4:56 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29 + 21. Let m(g) be the second derivative of -3*g**5\/20 - 5*g**4\/4 - g**3\/6 + 3*g**2\/2 + 3149*g. Is m(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -2\/3, -2, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 15692 and -4?\nAnswer: 15696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 229 or 228?\nAnswer: 228","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30 + -18. Let n = 28 - p. Calculate the smallest common multiple of 4 and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 18831, 40152, 61473, 82794?\n\"Answer: 21321*y - 2490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 n, and 1 q when three letters picked without replacement from vdiqznq?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3490209 a multiple of 786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 1.65. Let w = u - 0.35. Is w < 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40497 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -496, -1972, -4428, -7864, -12280?\n\"Answer: -490*g**2 - 6*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - 11. Let c be -1 + (8 - 1) - (-4 + 3). Solve -o*u - 16 = -c*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*m + 9 = 90*m. Does 12 divide 2162\/m + 8\/(-36)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1013298 and 11795828?\nAnswer: 460037292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of 2*f**2 - 3. Suppose -40*p - 59 - 381 = 0. Let q(j) = -21*j - 1. Determine p*d(s) - 2*q(s).\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c + 37. Let s(w) = -w - 9. Let l be s(-12). Suppose 2*p = n + l, 0 = 3*p + 2*n - n + 3. What is the units digit of d(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(198\/4) - (-3839494)\/48103.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 147, 4, 8, -11, 209, -1 in decreasing order.\nAnswer: 209, 147, 8, 4, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 + 4*v**2 + v + 1. Let b be s(4). Suppose q = 4*q + 15, 5*q = -2*h - 17. Differentiate b*y**3 - 2 - 2*y**3 + h wrt y.\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 43 + 36 = -3*h, -h = 4*j - 59. Let o = -3 + 4. Calculate the remainder when j is divided by (o - 16)\/((-3)\/2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (12\/9)\/(2\/6) + 5. Let d(n) = -19*n + 174. What is the remainder when 14 is divided by d(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42856.\nAnswer: 2, 11, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 392 = 4*u, 3*i + u - 5*u = -232. Let k be (45\/i)\/(-1*(-9)\/(-6)). Which is greater: 1 or k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.3, 1\/5, -0.4, -4, 669266?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1670206, -13361643, -45095550, -106893163, -208775718, -360764451?\nAnswer: -572880598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 874186 is divided by 568.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 3, 2.\nAnswer: -0.1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 264235.\nAnswer: 5, 43, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.786 - -0.214. Let l = y + -2.9998717. Round l to 5 dps.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 3*d - 3. Let b(r) = r**3 + 2*r**2 - 4*r - 1. Let z be b(-3). Let x be j(z). Find the second derivative of -x*l**5 - l - 3*l + 0*l**5 wrt l.\nAnswer: -60*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-3*(1 + sqrt(13)) + sqrt(13) + sqrt(13)).\nAnswer: -5*sqrt(13) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v**2 + 3*v - 18. Let g be a(-5). Let h(m) = -2*m + 53. Let t be h(g). Suppose -2 = 5*y + 4*k, -4*y - y + 3*k = -t. Is 19\/7 smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) 3 (b) 0.06 (c) -1.25 (d) 4 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*h - 8*h**2 + 21*h)*(155 - 14132*h**3 + 28271*h**3 - 14135*h**3).\nAnswer: -32*h**5 - 1240*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19897?\nAnswer: 101, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1082411463?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -233, -464, -693, -920, -1145?\n\"Answer: c**2 - 234*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3 + -3*sqrt(425)*2)*-6*3.\nAnswer: -108 + 1080*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1)\/(o*(o\/o**(-10\/11))\/o))\/(o**(4\/5)\/o)**(1\/17) assuming o is positive.\nAnswer: o**(-2709\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -14971.\nAnswer: -4\/14971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4088303ml to litres.\nAnswer: 0.0004088303","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u**2 + 2*u + 2. Let z(r) = 1 + 242*r**2 - 2*r**3 - 241*r**2 + r + 3*r**3. Give a(i) - 2*z(i).\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 3:31 PM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 3031 = 5*i + z, -4*i = -3*z - 2423. Let x be ((-216)\/i)\/(7\/(-8)). Let y = 5\/19 - x. Put 0, -0.5, y in decreasing order.\nAnswer: 0, y, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 381 - 1387 - 2048*c**2 + 2049*c**2.\nAnswer: c**2 - 1006","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1824)\/132 + (-12)\/66. What is the closest to l in -0.2, 4\/7, 6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 27074.6952 to the nearest 10.\nAnswer: 27070","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1329 + 110*f - 1327 + 2658)*(-34*f + 15*f + 5*f) to m + d*f**2 + k*f and give d.\nAnswer: -1540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24589 is divided by 768.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 - 10*f**2 + 23*f + 10. Let u be q(6). Solve 0 = u*w - 3*o - 13, -2*w - 3*o - 12 = -5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1536102 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1097, 2215, 3333, 4451, 5569, 6687?\nAnswer: 7805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -170 + 174. Let v = -5 + 15. Which is the smallest value? (a) v (b) m (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ijijjiijiiiij. Give prob of sequence iiji.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20482*c + 20443*c = 195 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 761065070?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, o: 1, f: 1}. What is prob of sequence ffoo?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = 6*z - 142 + 68 + 67, 4*z - 13 = 5*d for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of r**5\/20 - 5*r**4\/12 - r**3\/2 - 2*r**2 + 2*r. What is the units digit of s(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 + 7*a + 20. Suppose -n - 15 = -8*c + 3*c, -3*n - c - 13 = 0. Let k be q(n). Solve -2*t - 3*t + k = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1698534 divided by -2874\nAnswer: 591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (1*10*(-18)\/(-12) + (15 - 5))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -4*y + 88 + 70, 3*a + 33 = y. Let h be (1 + 0)\/((-2)\/(-52)). What is the highest common divisor of h and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.211 - -6.211. Which is the closest to -2? (a) 3\/2 (b) v (c) 4 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 516861 to the nearest integer?\nAnswer: 719","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g\/(g**(1\/8)\/g*g)*g)\/g))\/g)**(-33) assuming g is positive.\nAnswer: g**(231\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -2305\/134112 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r**4 - 3*r + 2*r**4 - 190264*r**2 + 190260*r**2 + 7*r**3 - 3 as f*r + l + a*r**4 + t*r**2 + i*r**3 and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-14)\/7 - -1)\/(1\/(-2)). Solve v - 5*i = -v + 8, -v = -m*i - 4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.45439, -0.3, -31, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6*((-2)\/12)\/((-3)\/114)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, k: 2}. What is prob of sequence kko?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 29*c + 11. Let m be z(-8). Let u = -212 - m. Solve u*b - 1 = 8 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1011*n**2 + 3035*n + 6 = 0 for n.\nAnswer: -3, -2\/1011","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -14, 5 in descending order.\nAnswer: 5, 0, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s*s**(-2\/9))**(-15))**(-2\/127))**(-1\/17))**(-50) assuming s is positive.\nAnswer: s**(3500\/6477)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*z**2 + 14*z**2 + 5 - 8*z - 13*z**2 as f + h*z + p*z**2 and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -4*k - 14. Let s(o) = o**2 + 3*o - 3. Let h be s(-5). Let u be 0\/(-2) - -1 - h. Let v be r(u). Solve v = -4*w - 5*y, -2*y + 2 = 6 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107572973 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106 is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h. Let m(u) = u + 10. Let r be m(-8). Let k(y) = 4*y + 0*y - y - r*y. Determine v(k(p)).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 100011 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 5 (c) -10\/3 (d) -3\/2 (e) 0.3 (f) -1.13 (g) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -q - 8 + 3, 5*s = 4*q + 25. Suppose -4*i + 2*m + 20 = q, -2*i - m = -0*i - 2. Let d be i\/(-2*6\/(-8)). Solve r - d*r = -5 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00309103 to four dps.\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of -u**4\/12 - 7*u**3\/2 + 5*u**2 + 23*u. Let r be b(-21). Let g be (-24 + -2)\/((-5)\/r). Is g equal to 53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 3. Suppose 0 = o - 5 - a. Is o a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 7*k - c - 9, 9 = 3*c. Solve 25 = -k*a - a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 3*k - 7)*(2*k**2 - k**2 - 2*k**2)*(-5 - 7 + 5).\nAnswer: 21*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1119552869\/22 + 50868347. Let o be (2816\/(-6))\/(2\/87). Let b = q - o. What is the common denominator of -101\/6 and b?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 5*l - 5 = 16, -21 = 5*x - 2*l for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*z - 36*z + 859320 = 53*z. Calculate the highest common factor of 33 and z.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 5 - 2)*(3*g - 8*g - g)*(-3*g - 2*g + 3*g) to the form j*g**2 + b*g + o and give j.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 16) + (-8 + 4 - -3 - -24 - -5)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -155*b**2 + 185*b + 22. Let c(m) = 77*m**2 - 92*m - 12. Let v(a) = 11*c(a) + 6*q(a). Find the second derivative of v(s) wrt s.\nAnswer: -166","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(44)\/(-2*sqrt(256)))**2 - (5 + -3 + sqrt(539) + 5))*-2.\nAnswer: 1781\/128 + 14*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 340281523?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 82134048 to the power of 1\/2, to the nearest integer?\nAnswer: 9063","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38, 60, 82, 104?\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*z - 5 - 85. What is the third derivative of z*d**3 - 34*d**3 + 5*d**2 + 26*d**2 wrt d?\nAnswer: -150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 - 8*z**2 + 13*z - 2. Let n be r(6). Solve n = 4*l - 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11100010101101100101 (base 2) in base 15?\nAnswer: -135228","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 21 = -53. Let y = 45 + a. Suppose -17 = -5*b + y. Is b > 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 66 divided by -21267\nAnswer: -22\/7089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4)\/16 + 45\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4992628 divided by -1248157\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 132, 505, 1112, 1947, 3004, 4277, 5760?\n\"Answer: -z**3 + 123*z**2 + 11*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13385?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7562622 to the power of 1\/3, to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/(-9))\/((-14)\/63). Let j(l) = l**3 - l**2 - 3*l - 3. Let q be j(3). Find the first derivative of k - 2 + 6*v + q - 2 wrt v.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -111458, 0.5, -35 in ascending order.\nAnswer: -111458, -35, -5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5432 or -3960?\nAnswer: -5432","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + f - 12 = -o, -3*o = 5*f - 60. Let d be (-1)\/2 - o\/(-6). Solve d*m = -m - 5*l - 21, m = 5*l + 13 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11132302 - -30?\nAnswer: 11132332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, f: 2}. Give prob of picking 2 n.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*o**3 + 12*o**3 + 49*o**2 - 143*o**2 + 45*o**2 + 49*o**2.\nAnswer: -8*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15525 is divided by 1722?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/2 + (2 - 5\/6)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.12 and -261536.\nAnswer: -31384.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, z: 2, j: 4, i: 1, b: 4, n: 1}. What is prob of picking 2 b and 2 t?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13.6 - -12.47. Let h = z + 1.43. Which is the nearest to -3? (a) h (b) 0 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(2\/39)*n)\/n**(-1\/8))\/(n\/(n**2*n))**(-10\/11) assuming n is positive.\nAnswer: n**(877\/3432)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnsx when four letters picked without replacement from nynnynyyeyxsyn.\nAnswer: 5\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31058?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from psmqmlellqlqeqqmee. Give prob of picking 1 m and 1 e.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 18\/6 - 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16\/7*r + 20\/7*r**2 - 20\/7*r**4 + 0 + 36\/7*r**5 - 52\/7*r**3 = 0. What is r?\nAnswer: -1, -4\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 8:05 AM?\nAnswer: 10:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -65*q - 5. Let w be k(-10). Let t = -346 + w. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of z**8\/30240 - z**7\/1890 + z**6\/270 - 2*z**5\/15 + 3*z**2. Let i(x) be the third derivative of l(x). Factor i(h).\nAnswer: 2*(h - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - 1. Suppose 0 = 3*d - 3. Let b = d + 2. Solve 2*o + y*x + 2 = 3*x, -5 = b*o - 5*x for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-57)\/(-21) + (-84)\/28\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 + 7*g - 7. Let j be m(5). Suppose -7*q + 4*u = -j*q + 12, 4*q = 2*u - 12. Is (-3)\/(q\/(-9)*-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 0, 0.1, 0.41 in ascending order.\nAnswer: -0.2, 0, 0.1, 0.41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((-51)\/(-2)) - ((-176209)\/1411 - -88).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 346, 6, -1026 in decreasing order.\nAnswer: 346, 6, -1026","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 86672 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -10180.6388 rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 267296?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -5*q**2 - 4*q + 40. Let c(u) = u**2 + u + 1. Give 2*c(t) + k(t).\nAnswer: -3*t**2 - 2*t + 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 (base 6) in base 13?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46560\/42680 - 796\/770.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-2*(0 + (sqrt(4050) - (2*sqrt(4050) + 5))**2 + sqrt(4050) + (1 + sqrt(4050))*2).\nAnswer: 3510*sqrt(2) + 24462","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -5*s**2 - 310*s + 27043. Calculate g(-111).\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of -k**3\/3 - 2*k**2 + k + 110. Let h be i(-3). Solve h - 1 = o + m, -o = -4*m - 13 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 162*n**2. Let d(q) = 3211*q**2. Determine d(m(t)).\nAnswer: 84269484*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1275)\/170)\/3)\/(10\/104*-1)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of -5\/6*r**4 + 7\/30*r**6 + 0 + 2\/105*r**7 - 5*r - 16*r**2 - 4\/3*r**3 - 1\/42*r**8 + 1\/15*r**5. Determine a so that g(a) = 0.\nAnswer: -1, -1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 0*p**2 + 3*p**2 - 5 + 4. Let b be j(1). Suppose 5*x - 38 = -2*z - b*z, 0 = x + 2. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.99444 rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(44))**2*-1.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(5*sqrt(3800)*-2)\/(sqrt(162)*2 + sqrt(18) - sqrt(18) - sqrt(18))*-6.\nAnswer: 80*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 509 - 506. Let s = 6 - 5. Let c = -17.2 + 17. What is the nearest to s in v, c, -0.3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 3*o - 6 = 0. What is the first derivative of -6*x**2 - o + x**2 + 10 + 0*x**2 wrt x?\nAnswer: -10*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llvx when four letters picked without replacement from vlvvvvvxvl?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r + 8. Let f be 2*(-7 + 5 + -70). Let v = -136 - f. Calculate a(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -6*t**2 + 9*t + 1. Let c(g) = 2808*g**2 - 5*g - 2*g - 3*g - 2801*g**2. Let q(k) = 5*c(k) + 6*d(k). Calculate q(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 3*h**2 - 4*h - 8. Let b(d) = -5*d**2 + 6*d + 12. Let u be ((-272)\/(-51))\/(2\/(-3)). Determine u*s(c) - 5*b(c).\nAnswer: c**2 + 2*c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 21*v - 22. Let w(i) be the first derivative of 7*i**3\/3 + 10597. Determine w(k(x)).\nAnswer: 3087*x**2 - 6468*x + 3388","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a tonne in grams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 26*z + 17. Let g(o) = 9*o + 6. Let n(a) = -11*g(a) + 4*q(a). What is the remainder when 70 is divided by n(7)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1301 (base 4) in base 3?\nAnswer: -11012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/19 in 2, 6011, 23\/2, 5, -9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17673689 or 123715832\/7?\nAnswer: 123715832\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1529724 and 1.\nAnswer: 1529724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y**3 + 384*y**2 - 367*y + 3684. Calculate i(-193).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 3*n + 15. Let r be b(15). Let t = 60 - r. What are the prime factors of -113*(t\/6 - 1)?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -3*j**2 - 33*j - 5. Let g be o(-11). Sort 11, -2, g in descending order.\nAnswer: 11, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 25*p**2 + 72*p - 146. What is j(2)?\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of -3*y**2 + 11*y + 2. Let q = 13 - 30. Let n(d) = 2*d - 4. Determine q*n(o) - 6*b(o).\nAnswer: 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1428 = -4*g - 252. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -143333 (base 7) to base 3\nAnswer: -1101212122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 24*d**2 - d. Let a be q(-2). Let z(r) = -r**3 - 16*r**2 - 2*r + 69. Let j be z(-16). Let p = j - a. Calculate the remainder when 15 is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 16 = -8*v. Suppose -x + 0*x + 4 = 0. Suppose 0 = v*t + x. Is t < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (81\/(-63))\/3 + 24\/7. Suppose 38*z - 155 = -q. Let j(v) = v**2 + 6*v - 4. Give j(z).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3258, 3332, 3468, 3666?\n\"Answer: 31*w**2 - 19*w + 3246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.2171241*-5\nAnswer: 1.0856205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -130*a + 338. Give h(9).\nAnswer: -832","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 555.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-15)\/(((m*(m\/(m**(-5\/4)\/m))\/m)\/m)\/m))\/((m*m**21)\/(m*m*m**(-21)\/m)))**(-34) assuming m is positive.\nAnswer: m**(3961\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 75*i - 345. Let p be j(5). Let a = -20 - -65. Calculate the highest common factor of p and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -332089890.996 less than -8?\nAnswer: 332089882.996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 41636303*a**3 + 70754346*a wrt a?\nAnswer: 249817818*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 4 + 50*d + 16*d**2 - d**3 + 8 - 5. What is the tens digit of x(18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-2))\/(12\/(-48))*-3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -145533, -291096, -436689, -582318, -727989, -873708, -1019481, -1165314?\nAnswer: -1311213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 26759 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.23 - 5.23. Put z, 3, -4 in increasing order.\nAnswer: z, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.49987374 and -3.\nAnswer: -3.49987374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9810.\nAnswer: 2, 3, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28757832 and 216.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.95 + -2.68. Let d = k - -4.73. What is the biggest value in 1\/4, -1\/4, d, 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*a + 0*a + a)*(20*a - 5*a + 8*a) - 197 - 16*a**2 + 197 as w*a + i + l*a**2 and give l.\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*g - 28*g + 4 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10041 (base 6) to base 14.\nAnswer: 6a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 17 + 1 + -17 + -1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -8*l. Let r(g) be the third derivative of g**5\/20 - 19*g**2. Give b(r(p)).\nAnswer: -24*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 + 12*h**2 + 42*h + 20. Let p be g(-8). Let m be 4\/(-40) - 126\/p. Solve 0 = -m*n - 4 + 2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -9. What is the hundreds digit of 530\/4*(0 - n\/(-5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13924348.\nAnswer: 2, 61, 149, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Is -2884124\/7 >= -412019?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -0.6, 3\/5, 3, 5?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*a - 26 - 156 = 63 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37849724?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -390 divided by -26.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -218*p**2 - 3*p + 6. Calculate f(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/8, -3, 9\/7, 220, 18?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 (base 6) in base 12?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 y, and 1 b when three letters picked without replacement from {n: 5, y: 6, b: 2, k: 3, t: 1}?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/7408283 and 97\/429680414?\nAnswer: 429680414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -4*m**2 + 2*m - 1. Let l(x) = -11*x**2 + 5*x - 3. Let i be 22\/3 + 0 - 12\/(-18). Determine i*q(w) - 3*l(w).\nAnswer: w**2 + w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 - 10 = -4*j, 30 = 4*a + 2*j for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 2*s - 3*u, -4*u = -2*s + u + 38. Suppose -5*r + s*r = 972. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10675 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*t + 111 + 168. Let a be (t\/(-204))\/((-45)\/12). Are -1 and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 146298820 to the nearest integer?\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*k**2*q**2 - 6*k**2*q + 214*k**2 + k*q**3 wrt q.\nAnswer: 6*k**2*q - 6*k**2 + 3*k*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.25681 less than -26973634.89?\nAnswer: -26973634.63319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 36332053 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-2) - (-2)\/(-4). Let c = 3 + l. Suppose -2*p + 0*n + 13 = -3*n, -5*p = -c*n - 27. Does 2 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 167*q + 118892 - 385925. What is the least common multiple of 6 and q?\nAnswer: 3198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3855526*-124.\nAnswer: -478085224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-18)\/i**(1\/22)*i**10\/i**2 assuming i is positive.\nAnswer: i**(-221\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76125707 is divided by 367?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 21615 to the power of 1\/2, to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 0.1. Which is the biggest value? (a) 1 (b) f (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -239146.\nAnswer: 1\/239146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (55 + -20 - 39) + -11 + -1?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/132 and -65\/33.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 359*k - 2*v + 5 = 360*k, -4*k = -3*v - 75 for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 s, and 1 w when three letters picked without replacement from owmmswwooomsmowwwsw.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 7*q - 102 + 107 = 0, -5*m = 5*q + 10 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -n**2*v**3*y - n**2*v**2 + 21*n**2*v - 16868276*n**2*y - 50*n**2 - n*v**3 - 3658*n wrt y?\nAnswer: -n**2*v**3 - 16868276*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13)*1 + 1 + 0 + 4*(sqrt(26)\/(sqrt(4)\/sqrt(2)))**2.\nAnswer: sqrt(13) + 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -51, 5, -9, -35416 in increasing order.\nAnswer: -35416, -51, -9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -34.691 + 36.691. Let v = 131\/70 + -57\/14. Is t less than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7599465?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of -y**9\/4536 - y**8\/840 - y**7\/630 + 5*y**3\/3 - 2. Let g(p) be the third derivative of o(p). Solve g(k) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -324 + 4142?\nAnswer: 3313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*r - 6 = 25*r + s, 3*r = -s + 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21300 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 7*h**2 + 6*h. Suppose -2*t = -5 - 7. Let p(r) = -11*r - 8*r**2 - 4*r**2 - r**2 + 0*r**2. What is t*p(s) + 11*u(s)?\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -9\/10 (b) 0.3 (c) -2\/363\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.562837 litres to millilitres.\nAnswer: 5562.837","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 140 - 136. Which is the nearest to m? (a) -2\/5 (b) -4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u**3 - 9*u**2 + 21*u - 18. List the prime factors of k(8).\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13.93 + 285.47. Round s to zero dps.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -881*y = 499*y + 104880 for y.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (4 + 4 + -5)) + -21 + 17?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -4*c + 71 - 71. Let b(m) = -9*m. Let o(s) = -9*s. Let z(y) = 4*b(y) - 3*o(y). What is p(z(i))?\nAnswer: 36*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 33 + ((-150)\/200)\/(1\/(-16))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*v - 85*v + 56 = 0. Suppose -v*z + 3*u = 0, 49*z = 54*z - 5*u. Solve 5 = 5*n, -2*r + 4*n = -z*n + 12 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124 + 714 = -47*j - 2*h, -5*j = 5*h + 70 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-3\/7)\/(f*f*f**(5\/3)*f) assuming f is positive.\nAnswer: f**(-107\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t**2 - 4*t. Let g(n) = 5*n**2 + 11*n. Let w(y) = 4*g(y) + 11*i(y). Let a(c) be the second derivative of c**3\/6 + 3*c. Determine a(w(h)).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 AM and 10:20 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-9) - (-16)\/6. Suppose -3 = -0*r - z*r. Suppose 2*b - 3*b - 1 = 0. Put r, b, -5 in descending order.\nAnswer: r, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18972612 a multiple of 348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 514, 1029, 1544?\n\"Answer: 515*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-918)\/(-816))\/((-15)\/(-10)*(-6)\/(-504))\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -46 (b) -1 (c) -0.2 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 54681 (base 10) in base 15?\nAnswer: 11306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 3 + 7. Let p(k) = 440*k**3 - 2*k**2 + k - 3. Is p(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 754 times -3850\nAnswer: -2902900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -260973, -521968, -782963, -1043958, -1304953, -1565948?\n\"Answer: -260995*y + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116 = -5*v + 21. Let w = 2589 + -2591. Let r = w - v. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57186*z**2 + 19068*z**2 + 19070*z**2 + 19049*z**2.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 150? (a) 0.9 (b) 0.1 (c) -0.4 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 670255?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 11*y**3 + 233*y**2 - 224*y - 572 = 0. Calculate y.\nAnswer: -22, -13\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -482 - -138. Let z = -377.2 - j. Round z to the nearest integer.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -688*n - 706*n - 84376 = 342*n + 14576 for n.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-15) - 2\/5. Suppose x*a = 4*a - q - 42, -3*a - 5*q + 43 = 0. Is 8 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 38 = 2*c + 70, -2*c - 30 = -3*k. Let z(v) = 5*v + 1. Let p(o) = 2*o**2 - 45*o - 9. Let n(q) = c*z(q) - 2*p(q). Let y(j) = -51*j. What is y(n(t))?\nAnswer: 204*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-9)\/((-36)\/230)*(-8)\/(-10) is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1287 + -40. What is the greatest common factor of y and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -4, 0.14, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -120*c - 104*c + c**2 - 332*c - c**2 - 33*c**3 + 554*c.\nAnswer: -33*c**3 - 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of b**2*g**2*s - 201*b**2*g**2 - 2*b**2*g*s - 15*g**2*s + 2 wrt s.\nAnswer: b**2*g**2 - 2*b**2*g - 15*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 2.5. Let c = o + 1.4. Sort 8, c, 1\/11 in increasing order.\nAnswer: c, 1\/11, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2248848 and 5622120.\nAnswer: 11244240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = j. Suppose 2*d - 5*m + 1 + 1 = j, d + 11 = 5*m. Let z(l) = l**3 - 9*l**2 + 10*l - 5. Is z(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of -v**5\/20 + 3*v**4\/2 - v**3\/6 + 21*v**2\/2 - 21*v. Calculate the remainder when 4 is divided by k(18).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -515?\nAnswer: 3\/515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*w = 22*w + 210. Solve -6*m = -1 + w for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**5 - 16*d**4 + 40*d**3 - 4*d**2 - 38*d + 20.\nAnswer: -2*(d - 1)**3*(d + 1)*(d + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of w**4\/2 - w**2 + 14181. Let o be ((-3)\/(-2))\/((-2)\/4). Let z(v) = 4*v**3 + v**2 - 3*v. What is o*z(r) + 5*m(r)?\nAnswer: -2*r**3 - 3*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 3 + -12 + 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 496 divide 6970816?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(6)\/sqrt(3) - sqrt(2)))**2 - (-2 + 6*sqrt(2)).\nAnswer: -6*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/11 - 372*c\/11 + 17298\/11.\nAnswer: 2*(c - 93)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 49, -8 in descending order.\nAnswer: 49, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 24 + 20. Let v(n) = 3*n + 2. Give v(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of -17*z**6\/30 - 7*z**4\/4 - z**2 + 11. What is the second derivative of t(m) wrt m?\nAnswer: -408*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -217893*h**2*r**2 + h**2*r - 75*h**2 - 634*h*r - 1 wrt r.\nAnswer: -435786*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/97? (a) -5 (b) 0.4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + g + 106 = 3*g, -5*g = -n + 58. Suppose -1 - n = z. Let t be (-33)\/22 + z\/6*-1. Solve 4*y = 4*l - 12 + 4, t = -5*y for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -4*c + 1. Let g be k(1). Suppose -14*j - 2481 - 363 = 144*j. Is g at least as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of -o**6\/4 - 12*o**5\/5 - 9*o**4 - 16*o**3 - 12*o**2 + 29. What is f in b(f) = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(6*(-3)\/6). Solve a + q*a = 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -3*d + 39, 3*i - 1 = d - 20. Let h be (-8*(-8)\/288)\/((-2)\/(-18)). Solve -h*m - d = -0*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 4) + -1 + 0 - (29 + 11 + -102)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**4 + q**4 - 3*q**4 + (2*q**3 + 4*q**3 - 4*q**3)*(2*q - q + 0*q) + 18*q**4 - 2*q**4 + 6*q**4.\nAnswer: 23*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -560.1, -2\/15, -4\/13, 1, -1\/2?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*m - 71*m - 70*m - 53 + 3419 = 0 for m.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {s: 12, n: 3, b: 1}?\nAnswer: 11\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 483 and 1512?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 72*b + 154*b**2 - 18*b - 54*b to the form v*b + u + y*b**2 and give y.\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-24)\/(-132) - 2\/11. Suppose 4*m = -4*c + 396, h*c - 170 = -2*c + 5*m. What is the greatest common divisor of 38 and c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 6*l = 4*r - 9, -5*r = -4*l - 14 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12400 (base 5) to base 8.\nAnswer: 1717","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 237 - 27. Let m be 28\/w + (-200)\/(-3). Let z = 101 - m. What are the prime factors of z?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.95*7.\nAnswer: 13.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17094 is divided by 42.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(480\/140))\/(14\/12)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 276 + -260. What is the second smallest value in 1\/5, 2, s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 4 = -2*s, -5*s + 77 = 4*a. Calculate the greatest common factor of 45 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = -3*a - 3*k, -5*a + 3*k + 153 = 23. Suppose 4*x - a - 71 = 0. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - p - 2*j - 3 = 0, 2*p = j + 9. What is the derivative of -2*a**3 + a**3 + 2*a**p - 5 wrt a?\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -57 - -62. Suppose 0 = 5*x + w - 25. Solve x*t - 13 = -1 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 224 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - (-16)\/14 - (-13)\/7. Let m = -8.3 - -7. Let y(f) = f**3 + 14*f**2 + 2*f + 28. Let i be y(-14). Put w, 0.4, i, m in descending order.\nAnswer: w, 0.4, i, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l\/(l*l**6*l*l))*l**(6\/13)*l assuming l is positive.\nAnswer: l**(136\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2\/5 + 146656188*o\/5 + 1792336456557612\/5.\nAnswer: 3*(o + 24442698)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11649, 23325, 35001, 46677, 58353, 70029?\nAnswer: 81705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5739)\/(-39) - 4\/26. Let b = m - -250. Suppose 2*q = b + 4203. Round q to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -674098 by -4.\nAnswer: 337049\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/27)\/((-88)\/(-7392))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 44022 and 179655?\nAnswer: 90905430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9251?\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (510\/(-34))\/((((-75)\/(-18))\/25)\/((-1)\/(-6)))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17*j**5*o - 1033*j**4 + 6*j**3*o + 31*j**2*o + j**2 - 65*j*o - 3 wrt j?\nAnswer: -1020*j**2*o - 24792*j + 36*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(110) - (sqrt(110) + 2*sqrt(110)))\/sqrt(11)*1)\/(sqrt(500) + -5*(sqrt(500) - (sqrt(500) - (sqrt(500)*1 + sqrt(500)))) + sqrt(500)))**2.\nAnswer: 1\/800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 187 and -0.412.\nAnswer: -77.044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41, -77, -115, -155, -197?\nAnswer: -241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -42 - -30. Let n = 9 + a. Let u = n + 5. Let x(q) = -5*q + 3. What is x(u)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 - 54*g**2 - 101*g + 180. Determine y(-52).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 606033 and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13708375*m**3 + 27416757*m**3 + 0 - 13708376*m**3 + 0.\nAnswer: 6*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -893053, -1786101, -2679149?\nAnswer: -3572197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 3:38 PM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/15 (b) 0.16 (c) 1 (d) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5236\/21 - 3*4\/36.\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34916?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6682 - -14534. What are the prime factors of b?\nAnswer: 2, 13, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-37 - -33) + (-1 - -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 PM and 9:15 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13764*l - 22 = 13753*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3807328 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*z**3 + 0*z**3 + 8*z**3 + (-z + 3*z**2 + z)*(-3*z + 6*z - 5*z) in the form h*z**2 + k*z**3 + t*z + a and give k.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, 3, -2 in descending order.\nAnswer: 3, -2, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, e: 1, u: 1, v: 1, g: 2, p: 1}. Give prob of picking 1 y and 1 u.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 - 38*p**2 + 36*p - 191. What is c(-39)?\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -225*i**2 + 437*i**2 + 399*i**2 + 218*i**2.\nAnswer: 829*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 93253.1 years in decades?\nAnswer: 9325.31","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 81*r**5 + 4*r**2 + 31*r. Let d(m) = -83*m**5 - 3*m**2 - 31*m. Let j(c) = -4*d(c) - 3*k(c). Find the second derivative of j(q) wrt q.\nAnswer: 1780*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -483.0283 - -483. Round b to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -385*x - 2101 - 9834 = 0 for x.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*j**2 + 6*j**2 + 7*j**2 as q*j**2 + p + i*j and give q.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 22*g**2 + g - 3. Is r(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 - 25*i**2 + 44*i + 54. Let n be h(-31). Let d(y) = -y**2 - n + 4456. Let q(a) = -677 + 677 - 14*a. Determine q(d(s)).\nAnswer: 14*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3633 is divided by 740.\nAnswer: 673","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 14 - 1) + (32 - 33) - (-10 - 2)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34 - 16. Suppose -42 = -3*w + k. Does 13 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 10 = 17. Suppose -4*j - 3*h + 32 = 0, -h = -2*j + t + 9. Suppose 46 = j*s - 6*s. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 13) to base 10\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 27*b**3 - 17*b**2 + 46*b + 1806. Let a(r) = -9*r**3 + 6*r**2 - 16*r - 602. Let y(f) = 17*a(f) + 6*w(f). Differentiate y(l) with respect to l.\nAnswer: 27*l**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 21960.\nAnswer: 1\/21960","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -173*o + 470*o - 11110770 = 0. Does 174 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.0561286 years?\nAnswer: 0.0000561286","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/8 - -1 - 28\/8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-5)\/(50\/16))\/(12\/(-90)). Solve -3*o - s = -7*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 5362*h**2 + 2*h + 8. Let r(z) = 1788*z**2 + z + 3. Determine -8*r(p) + 3*s(p).\nAnswer: 1782*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 92198722?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 21, 28, 49, 90, 157, 256?\n\"Answer: n**3 + n**2 - 3*n + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -28*f - 2327. Give u(-83).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*g + 4, -4*v + 3*g - 12 = -7*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 4*x - 34, 3*x = 6*x + 3. Suppose -2*m - 2*g + 6*g + 16 = 0, -q = -3*m - g. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*u - 168 = 66 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2897*p**2 - p + 6. Let b be g(-2). Round b to the nearest one thousand.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -276923, -1107731, -2492423, -4431005, -6923483, -9969863?\n\"Answer: -b**3 - 276936*b**2 + 7*b + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from obbboobobb. Give prob of picking 2 b.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d**2 - 2*d - 500. Calculate i(16).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -19417*n**2 - 35 - 120 + 19418*n**2 as q*n + j*n**2 + d and give d.\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of i**3\/2 - 9*i**2\/2 - i. Suppose -2*x + 125*b = 122*b - 15, -4*x - 5*b + 19 = 0. Determine t(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3542.82 rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -4*p - 21, 3*p + 2 + 5 = -5*y. Let b be p*8\/32 + (2 - -3). Solve -s + b = -2*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**4 - 77*n**3 + 1122*n**2 - 4284*n + 3240.\nAnswer: -(n - 6)**2*(n - 1)*(n + 90)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -36*q. Let r(a) = -7*a - 1. What is r(x(s))?\nAnswer: 252*s - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 575064 is divided by 117?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202233032033 (base 4) to base 10.\nAnswer: 9106319","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 0 + (-86 - ((22 - -10) + (-10 - 4)))?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 43\/2 of a gram?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 266580873 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + 1211188?\nAnswer: 1211184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -5*w + 10. Let h be o(7). Let c(k) = -5*k + 7. Let m be c(5). Let p = m - h. What are the prime factors of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 4*t = -t + 13, 5*t = 4*b + 6 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 46 + (-372 - -370 - (2 + 6 + -2)) + 10\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 - 4*p**2 - p - 22. Is o(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/10 of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -39, 2\/5, -3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/(-25) - 11\/(-5). Let f = 1187\/7 + -170. Let r = f - -5\/28. Put 1\/6, n, r in decreasing order.\nAnswer: n, 1\/6, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/36 + (-40)\/(-18). Solve 2*v**h + 6*v + 3*v**2 + v - 2*v = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of 39*j**2 + 50*j - 69. What is the derivative of x(k) wrt k?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 8640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t + 13*t - t**2 - 3*t**2.\nAnswer: -4*t**2 + 11*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of -u**2\/2 + 7*u + 28. Calculate a(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.74926g in tonnes?\nAnswer: 0.00001174926","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 - 8*y + 21. Let f be z(4). What is the third biggest value in 2\/3, f, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25274 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202121 + 2?\nAnswer: 202200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 8, 2, 22, 42 in descending order.\nAnswer: 42, 22, 8, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wn when two letters picked without replacement from ntwtanennnenaewtt.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3a9103 (base 12) in base 15?\nAnswer: 142420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k + 5. Let o be (8 - 4) + 10\/(-1). What is the tens digit of p(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*v = 71*v - 112. Is 28\/v*(0 - -20) - 2 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 840?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + 8*t - 16. Let l be k(-10). Let o(c) = -61*c - 62*c + 123*c + l*c**2. Let z(w) be the third derivative of -w**4\/12 - w**2. What is o(z(p))?\nAnswer: 16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 56195 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 298.01 + -298. What is the smallest value in -0.1, a, -7, -2\/11?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32810185 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3311 (base 11) in base 14?\nAnswer: 1840","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 3 = -6, -q = 3*x + 14. Put -2, -182, q in decreasing order.\nAnswer: -2, q, -182","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 6.35. Let a = -0.350166 - d. What is a rounded to five decimal places?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4154 + 29245. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 + 35 - (-77 - -41)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 424 + -734. Let b = -214 - x. Let d = -312 + 324. Calculate the greatest common divisor of b and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-54))\/(42\/(-14))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25010 is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1282 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((924\/(-15))\/(-1))\/((-26)\/(-65)). Suppose 2*c + 84 = 3*z, z = 5*z - c - 112. Calculate the highest common factor of o and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8029170 divided by 1605834\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (90\/75)\/(4\/10). Suppose 0 = -v*g - g - 80. Let q be 0 - 0 - (-4 + g\/(-6)). Is q <= 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 34 (b) -11 (c) 26 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5028*k - 23 + 126 - 31 - 25 - 45.\nAnswer: -5028*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t - 2*t - 4 + 3. Let d be g(-1). Let s(u) = 0*u - u**3 + u + 5*u - 3 + d*u**2 - 2*u. Give s(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l + 17. Suppose 3 + 9 = w. Calculate the smallest common multiple of b(w) and 11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 - -23.9. What is v rounded to 0 decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.8, 53047, 0, -14, -2, -5\/6.\nAnswer: -14, -2, -5\/6, 0, 0.8, 53047","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.19 - -0.69. Let m be (-1)\/4*5 - -1. Which is the closest to 2\/5? (a) 4\/7 (b) u (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 9210.789086 and -0.04?\nAnswer: 9210.829086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 85\/13 (b) -1 (c) 0.14 (d) -2\/3 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 230737\/30 + -23053\/3. What is the common denominator of g and 10000\/(-2508) - -1 - -3?\nAnswer: 6270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2. Suppose 4*m + 28 = 8*m. Let c(x) = -3*x + 8*x + m*x. Calculate n(c(z)).\nAnswer: -144*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2c0ab + 1?\nAnswer: 2c0ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 4*m - 11 = 0, 3*m = -21*v + 16*v + 17 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 108 and 405648.\nAnswer: 405648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, f: 5, p: 2, a: 5, z: 6}. Give prob of picking 1 x and 1 p.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 7*f**2. Let b(o) = -225*o**2. Determine b(q(p)).\nAnswer: -11025*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 110 and 22858.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -6*a + 5. Let n be m(-6). Suppose 0 = d - 3*l - 682 - n, -l = 2*d - 1453. Suppose 5*f + d = 2381. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -20*y + 82. Let u(h) = -h**3 - 10*h**2 - 23*h - 21. Let q be u(-7). Calculate the lowest common multiple of 18 and l(q).\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 3 + 1*sqrt(243)*-2 + 3*(sqrt(243) - (sqrt(243)*2 - sqrt(243))) + -4)**2 + -3 + 0.\nAnswer: 36*sqrt(3) + 970","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*a + 620 = 0, 5*t + 12*a - 3150 = 7*a. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -5. Let h(r) = 13*r - 113. Let y be h(8). Let l be y\/15 - 15\/(-25). Solve c + s = -l*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6821325?\nAnswer: 3, 5, 7, 61, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 12*l**2. Let j(t) = -224*t + 13. Let x(b) = 1121*b - 70. Let w(a) = 16*j(a) + 3*x(a). Calculate d(w(o)).\nAnswer: 586092*o**2 + 10608*o + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 1046*g - 3*g**2 + 8 + 1046*g.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**4 + u**4 + u**5)*(-7 + 4 + 16) - u**5 - 4*u**5 + 4*u**5 - 3*u**5 - u**5 + 3*u**5 + (-4*u**2 - u**2 + 3*u**2)*(u - u + u**3).\nAnswer: 9*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 3251\/9275?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(3\/8)*x*x**(-2\/13)*((x**(2\/3)*x*x*x)\/x*x)**(-3\/7))**(1\/37) assuming x is positive.\nAnswer: x**(-255\/26936)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 + -0.3. Let i = 8.8 - 9. Sort i, y, -1\/6 in decreasing order.\nAnswer: y, -1\/6, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 2 = -2*j. Let q(k) = 5*k**2 - 3 - 3*k + 2 - 3 + 0*k. Let a be q(j). What is the greatest common factor of 11 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + l**3 - 1)*(1 - 4 - 2)*(0*l + 2*l**2 + 0*l).\nAnswer: -10*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1440, -5771, -10102, -14433, -18764, -23095?\n\"Answer: -4331*t + 2891","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h - 7. Let x be n(6). Let u(q) = -2*q + 3. Calculate u(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -4*x - 92, p - 3*x + 35 = -8*x. Let r be (3 - 3 - p) + 1. Let y be r\/14 - (-9)\/(-2). Put y, 4, -1 in descending order.\nAnswer: 4, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -492.566 to zero dps.\nAnswer: -493","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -29*c**2 + 154*c + 9776.\nAnswer: -58*c + 154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14477 and 899?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f\/(f*f**(-3))*f))*f\/(f*f**7\/f)*f)\/(f\/(f\/(f**0\/f)))**(1\/4) assuming f is positive.\nAnswer: f**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 418, 5, 1, -2 in decreasing order.\nAnswer: 418, 5, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -36*x + 618. Calculate l(17).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*j**2 + 33189038*j - 16594516*j - 16594522*j.\nAnswer: -54*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.04 (b) 4 (c) -5 (d) -2\/11 (e) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.40367 - -1.4106999. Round l to five decimal places.\nAnswer: 0.00703","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(2\/13)*c**(-2\/3)*(c\/(c*c*(c*c*c\/(c\/(c\/c**(-2\/9))))\/c*c))\/c**(-1\/4)*((c**(1\/2))**(-5))**(5\/6) assuming c is positive.\nAnswer: c**(-1537\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (16\/(-20))\/(2\/(-5)). Let j = -2 + t. Suppose 2*n - 3*i - 8 = -3*n, 3*n + 3*i = j. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 47730 or -6?\nAnswer: 47730","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 3\/5093944?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 328 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*f - 72. Suppose -3*p + 0*p = -36. What is the remainder when f is divided by p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2223121, 2223081, 2223037, 2222989, 2222937?\nAnswer: 2222881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7825 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 146 and 1764410?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 3024*s - 18020. Determine b(6).\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -84*s**3 - 24*s**2 + 197*s - 174. Give u(1).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1427359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23364099?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of -130*k**4\/3 - 543*k**2\/2 - 1106*k. Find the first derivative of v(j) wrt j.\nAnswer: -1040*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - 5*j**2 - 63*j - 538. Calculate s(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - f + 3*v = -27, 2*f + 6 = -3*v. Suppose w - 2 = -2*o, -o = -2*o - 4. Put w, f, -1 in ascending order.\nAnswer: -1, f, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 - 8381310827.\nAnswer: -8381310826.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 PM and 12:57 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 6:34 PM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 AM and 6:11 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 666923566, 666923567, 666923568, 666923569, 666923570, 666923571?\n\"Answer: v + 666923565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -ccc - -4?\nAnswer: -cc8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*j**5 + 6*j**4 + 14*j**3 + 3708*j**2.\nAnswer: -180*j**2 + 144*j + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18826 by 1.\nAnswer: -18826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2289 and 1821390?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 10*m - 11*m. What is the remainder when 41 is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 1 (c) -0.27 (d) 2\/3 (e) 0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00007615656 rounded to six dps?\nAnswer: 0.000076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.158956 milligrams in micrograms?\nAnswer: 6158.956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-9)*(-4)\/(-8))\/(7*2\/210)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -4, -0.46, -0.1, -2\/569.\nAnswer: -4, -0.46, -0.1, -2\/569, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 1143 divide 3777615?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 - 13. Suppose w*d + 6 = -0. What is the fourth biggest value in 0.2, -1\/6, d, 0.02?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 3238237?\nAnswer: -4\/3238237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 0*t = 12. What is the derivative of t*g**3 + g**4 - 2*g**3 - 3 - 4*g**3 wrt g?\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 - 0) + -7 - -6. Let j be ((-11)\/(-11))\/(g\/8). Solve 0 = -2*h + j + 2 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*j**2 + 3*j**2 - 6*j**2)*((0 - j + 0)*(4 - 9 + 0) - 21*j - 7*j + 9*j) in the form u + i*j + x*j**2 + k*j**3 and give k.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 405 a factor of 3809430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 316674 and 438?\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of o**4\/4 + 7*o**3\/3 - 9*o**2\/2 + 2*o - 5. What is the lowest common multiple of b(-8) and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*j)*(5 - 4 - 2) - j + 2*j - 3*j - 17 + 7 - 7*j + 8.\nAnswer: -11*j - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(650)*-2 + sqrt(650) + (-3*sqrt(1274) - sqrt(1274) - sqrt(1274)) + sqrt(1274))\/(((sqrt(288) - sqrt(288)*4) + sqrt(288))*5)*5.\nAnswer: 11*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5992, 22993, 51014, 90067, 140164?\n\"Answer: 2*u**3 + 5498*u**2 + 493*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from aaaooaooooaooaaaoooa?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 106200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 3*a**2 - 6*a + 7. Calculate the lowest common multiple of x(2) and (-3)\/(2 - 3)*1.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 11 = 4*u + 2, -5*a = -2*u + 21. Suppose -4 = -u*q + 8. Is ((-2302)\/4)\/((-2)\/q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5322, -5305, -5276, -5235?\nAnswer: -5182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -2 - (-9 + (-3 - -9)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 9 and -563286 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - p - 224, -104*a + 107*a - 3*p + 168 = 0. Let q be 7\/a + (-5)\/(-120)*39. Let 3 - 6*z + q*z**3 - 3\/4*z**4 + 9\/4*z**2 = 0. Calculate z.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -55 - -57. Let b = -1 - -5. Suppose -b*l + 2*l = -10. Solve -s = y - l for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, y: 2, t: 1, n: 1, l: 2}. Give prob of picking 2 y.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 2*m + 7. Let q = 18 + m. Let n = q - 11. Solve -4*v = 4*g + 12, -v + n*g + 1 = 3*g for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12138 by 3.\nAnswer: 4046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.091? (a) 50\/43 (b) 0 (c) -0.104\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35011342 (base 6) to base 12.\nAnswer: -439b52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.04 - 3. Let f = r + 4.96. Let m(x) = 2*x**3 + 5*x**2 + 4*x - 1. Let g be m(-2). Put 4, g, f in ascending order.\nAnswer: g, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 21*s**2 + 6*s - 6. Give p(1).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(80\/(-4))\/(-4)*(-83)\/((-11620)\/392).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.58027478 to four dps.\nAnswer: 2.5803","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 13\/52 - (-15)\/(-28)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -39*z**2 - 975*z + 21. Let d be a(-25). Calculate the greatest common divisor of 35 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 198\/8 - (-39)\/(-52). Suppose j = 5*t - 17, 3*t + 8*j = 4*j + k. What is the derivative of -q**4 + t - 5*q**4 + 8 - 4 wrt q?\nAnswer: -24*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/142894037 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 2*g + 2*l = -2, 0 = 3*g + 5*l + 19. Let j be 10\/(-2)*(-2 - -1). Find the first derivative of g*c**3 - j - 3*c**3 + 6 wrt c.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of 4*y**3\/3 + y**2\/2 - y - 2. What are the prime factors of m(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/(-125))\/((-6)\/(-5)*(-11)\/22)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -27, -41, -65, -105, -167, -257, -381?\nAnswer: -545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.5 times 861?\nAnswer: -10762.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/(78\/(-180))*62\/124?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03253659 rounded to 3 decimal places?\nAnswer: 0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 2 = -18. Let s be ((-98)\/462*-11)\/((-14)\/(-12)). Let z(r) = -7*r. Let j(q) = -3*q. Determine s*z(g) + t*j(g).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/10 of a millimeter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + a - a)*(2*a - 2*a + 2*a) + 4*a**2 - 4*a**2 - a**2 - 307*a - 933*a**2 + 307*a.\nAnswer: -936*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y**2 + 8*y - 3. Suppose 2*b - 4*s + 30 = 0, 5*s + 33 - 93 = 4*b. What is the hundreds digit of l(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 255989593?\nAnswer: 255989593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - 64521?\nAnswer: -64525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dqqeeweeqqiwewdeeee. What is prob of picking 1 i and 2 e?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 159854.\nAnswer: 2, 257, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1280436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 425490 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddw when three letters picked without replacement from wddjdwewdd.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244 is divided by (-45)\/(-2) + (-5)\/(-4)*2.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-119)\/476*(-4)\/(-10)*-2.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a**2 + 2*a - 2. Let s be w(-3). Let o = -7 + s. Find c such that -o*c**3 + c**2 + 8\/3*c - 4\/3 = 0.\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -u**5 - 3361*u**4 - 165447*u**3 + 340981*u**2 - 172172*u = 0.\nAnswer: -3311, -52, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t + t - 1 - 3 - 3. Let y be g(5). Let q be ((-24)\/(-18))\/(4\/6). Solve 15 = q*f + y*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of -7*p**4 - 2*p**3\/3 - 17. Find the third derivative of w(b) wrt b.\nAnswer: -168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-8) + 1 + (-29930)\/(-584).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + a3?\nAnswer: a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 PM and 12:24 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -42*r**3 + 5*r**2 + 6*r + 1. Let j be g(-1). What is the first derivative of -3 - n**2 - j - 132*n - 10 - 11 wrt n?\nAnswer: -2*n - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*u - u + u + (-3*u + 7*u - 3*u)*(-1 - 2 + 5) - 3*u + 3*u - 3*u)*(-2*u - 4 + 4) to the form p*u**2 + z*u + j and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/7)*r**(-3\/2))\/(r**5)**45 assuming r is positive.\nAnswer: r**(-3169\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -165 - -170. Let f be a + 3 + 13 + -1. Solve -6*z + f = -z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**4*f*f\/f**(-7\/4) assuming f is positive.\nAnswer: f**(31\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**4\/9 - 112*i**3\/9 + 196*i**2 - 14406.\nAnswer: 2*(i - 21)**3*(i + 7)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33228 divided by -468.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 70.93.\nAnswer: 76.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 10*i**2 + 60*i - 536. Let f(l) = -2*l**2 - 12*l + 107. Let k(a) = -28*f(a) - 6*g(a). Determine y so that k(y) = 0.\nAnswer: -11, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 32190*y**5 - 2*y**3 + 27*y**2 - 3*y + 426608 wrt y?\nAnswer: 643800*y**3 - 12*y + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v + 5. Let k be p(4). What is the common denominator of ((-9)\/6 + k)\/(-12) and 37\/3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z**3 + z - 2*z**3 - 2*z**3 + 4*z**4 + 2*z**2 + z**3 to the form k + m*z**3 + n*z**4 + v*z + s*z**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 i when three letters picked without replacement from {c: 3, i: 2, d: 10}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 3, -2\/9, -0.25 in decreasing order.\nAnswer: 3, -2\/9, -0.25, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 x when two letters picked without replacement from qnwnxqwqwwwnn?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 267377100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6209790 is divided by 19.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 128374 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1857450 divided by 185745\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1917414*2.\nAnswer: 3834828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w\/(w\/w**5*w))\/w**3)\/(w**(1\/3)*w*w**5))**(-10) assuming w is positive.\nAnswer: w**(130\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1076?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -49069 (base 14) to base 13.\nAnswer: -632c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/4 and -101\/4058.\nAnswer: 8116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, b: 1, w: 1}. What is prob of sequence iib?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -580*t**2. Let o(y) = -2*y + 13. Calculate o(q(p)).\nAnswer: 1160*p**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of -194672*g**6\/5 + 4232*g**5\/5 - 23*g**4\/3 + g**3\/27 + g**2 + 1353*g. Factor p(u).\nAnswer: -2*(276*u - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 3*r**3 + r**2 + r + 1. Let h be s(-1). Let f = -12.5 - -11. Let g = -1 - f. Put -2\/3, h, g in ascending order.\nAnswer: h, -2\/3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33760676.\nAnswer: 2, 43, 331, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + -14. Let y be (9 + j)*(-82)\/8. Let v = -66 + y. List the prime factors of v.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 9 + 45. Is 9 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 43\/2 of a meter?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 - -16. Let j(f) = -6*f**o - f**3 + 5*f + 12 + 14*f**2 + 4*f. What is the lowest common multiple of 18 and j(9)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(29\/4)*((y\/(y\/y**(21\/5)))\/y)\/y)**(2\/33) assuming y is positive.\nAnswer: y**(63\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 49 + -15. Let b = f - 24. Let l = -1785 - -1789. What is the lowest common multiple of b and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 111752 - 28608419\/256. Find the common denominator of j and -63\/5.\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2337 a factor of 77534649?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 2*r + 10. Suppose -p + v - 4*v = -12, -4*v = -p + r. Is 7 bigger than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2919 and 3753?\nAnswer: 26271","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6659, 6645, 6607, 6533, 6411?\nAnswer: 6229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 15, s: 3, l: 2}. What is prob of sequence ss?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 13 = -0*q - 2*s, -5 = s. Let k = 1 + q. Let a = k + 0. Solve 5*n - 7*m + 2*m = a, -m = -2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(20) + sqrt(20) + -1 + sqrt(20))*-1)**2 + -1*(sqrt(20) + 0 + sqrt(20)) + -3.\nAnswer: -304*sqrt(5) + 4522","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -208*n + 51. What is the remainder when j(0) is divided by 35?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-6 - (9 - 23)). Which is the biggest value? (a) -0.22 (b) k (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -379.674 - -0.674. Let j = w - -383.005. Let b = -3.24 + j. Round b to one decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 1 - 21. Let q = 51 + -54. Sort -2, b, q in ascending order.\nAnswer: q, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 121 - 11?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 967 is divided by 97?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/14 and 43\/5769556.\nAnswer: 40386892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 5) to base 6.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 476548 and 763?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m**2. Suppose 3*q + 2*q - 111 = -2*a, 3*a - 129 = 5*q. Let b(h) = 13 + 3*h**2 + 15 + 9 - a. Give b(n(s)).\nAnswer: 12*s**4 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2176 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (5 + -3 + -1 + sqrt(2))**2 + 3.\nAnswer: 2*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**20\/(c*(c**(-9)*c)\/c) assuming c is positive.\nAnswer: c**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -369360 by -4.\nAnswer: 92340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of -13*z**4\/12 - 5*z. Suppose 10 = 4*x + f - 3, -3*x + 2*f = 4. Let v(w) = 22 - 22 + 2*w**x. Give n(v(d)).\nAnswer: -52*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 24054 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/12)\/((-18)\/108). Let g be p\/(-3 + 13\/4). Let x be (g - 3)\/((-2)\/(-10)). Let d(r) = 2*r - 6. What is d(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 25 = v. Suppose 12 = -4*o + 4. Let f = v + o. Solve 0 = f*h + h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*r - 26*r - 23*r - 24*r - 21*r.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 133094557 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9657?\nAnswer: 3, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 i, and 1 g when three letters picked without replacement from ppggiggppii.\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -363446\/11 or 6?\nAnswer: -363446\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24138.\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193561 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 34*x = 4*x - 1404 for x.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2712\/(-16))\/(3\/(-12)*2). Let l = 345 - r. Let g be (2 - 6)*(-2)\/4. Solve l - g = y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 34 + 22. Suppose 14*a - 3585 = -3473. Calculate the smallest common multiple of i and a.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 19*c**2 + 29*c + 78. Does 32 divide v(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 575.16 + -575. What is the third biggest value in 0.01, -1\/3, b?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001670262 rounded to six dps?\nAnswer: 0.000167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*v - 2*i - 206 + 850, 0*v + 2*i - 116 = 3*v + 96 for v.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, 1.6, 0.1, -1\/6.\nAnswer: -4\/5, -1\/6, 0.1, 1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v**2 - 5*v - 7. Let f = -629 + 636. Let k(c) = 3*c**2 + 4*c + 6. Calculate f*k(t) + 6*h(t).\nAnswer: 9*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from megpe. What is prob of picking 2 e?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/12 less than or equal to 0.056?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -154619 - -154619.140038. Let b = 0.14 - c. What is b rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 4*o = -6, o = -a - 165 + 164 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -3*b**3 + 5514*b**2 - 2582580*b + 44717400 = 0.\nAnswer: 18, 910","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48)\/(sqrt(8)\/sqrt(4)))\/sqrt(12) - (3 + (3*sqrt(242))**2))*3.\nAnswer: -6543 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -q + 4*v + 3516, 4*v = -q + 732. What is the greatest common factor of q and 4484?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 4 + (sqrt(30)\/(-1*sqrt(3) - sqrt(3)))\/(sqrt(5) + sqrt(5) + -1*sqrt(80)).\nAnswer: sqrt(2)\/4 + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -5.3849.\nAnswer: -5.3849","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -110.12 - -110.16. What is the second biggest value in -3, -29.2, o?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1172\/5? (a) 69 (b) 3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -4. Let v(b) = 2*b**x + b**2 - 4*b**2 - b**2. Let y(i) = i. Calculate v(y(d)).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8\/(-102))\/(24\/(-36)). Is g not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.4 (b) -1 (c) -0.1 (d) 421 (e) -4\/7 (f) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*f - 1303326 = 497724. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 144 divided by 239.\nAnswer: 144\/239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-15))\/(5*25\/(-1250)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12087 and 16167?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - d + 35 = -26, -3*d = -4*t + 45. Let u = -41 - -59. Calculate the highest common factor of u and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 + 2*i**2 + i + 9. Let x(v) = -v**3 + 2*v**2 + v + 10. What is 5*q(u) - 4*x(u)?\nAnswer: -u**3 + 2*u**2 + u + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*r - 4*r - 84*r + 4 - 15*r - r**2 to the form u*r**2 + x*r + b and give x.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 3*n**3 - 2*n**2 + 1. Let j be d(1). Let c(i) = i**3 - 2*i**2 + 2*i. Let q be c(j). Suppose -15 = -4*f + 1. Solve -f*p = q + 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 551, 1053, 1509, 1919?\nAnswer: 2283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 934.2189um to kilometers.\nAnswer: 0.0000009342189","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -23*q**3 - 2. Let w(s) = 71*s**3 - s**2 + 7. Determine -7*n(l) - 2*w(l).\nAnswer: 19*l**3 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (18\/(-15))\/((-6)\/15). Suppose -w*y + 68 = y. Solve 2*j + 3*b = 14, y = 3*j + 3*b + 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 - -18. Suppose 0 = -b - 0*b + 2. Suppose 0 = a - b. Which is greater: p or a?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185345563 to the power of 1\/5, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*4*((2 + (sqrt(1088) + -5 + sqrt(1088) + 0 - 2*sqrt(1088)*-5))*5 + 4)**2.\nAnswer: -78338420 + 211200*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g + 32646 + 5598 = 0. Is g a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 AM and 7:14 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*d - 161 + d + 68 - 273 + 47 to the form x*d + s and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 - (-4 + (-3)\/(-1))) + 20. Suppose -j + 7*j - x = 0. What is the lowest common multiple of 30 and j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*x**5 + 32*x**4 - 47*x**2 wrt x?\nAnswer: -120*x**2 + 768*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 508972 + 12?\nAnswer: 508984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.2929 greater than -3295?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -594.22117 to 1 dp.\nAnswer: -594.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(2\/5)*w*(w\/w**(-3)*w*w)\/w*(w\/(w\/(w**1*w))*w)\/((w\/w**(-4))\/w*w)*((w**0*w)**(-5\/8))**36 assuming w is positive.\nAnswer: w**(-181\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 12*o - 1. Let h(b) = 3*b + 18. Let u(q) = q + 4. Let v(x) = -2*h(x) + 9*u(x). Determine f(v(p)).\nAnswer: 36*p - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 2*f + 3*f - 904, 0 = -5*g - 3*f - 2229. Let d = 812 + g. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -2, 0.2, 2\/7.\nAnswer: -2, -0.3, 0.2, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from qjxxxjxxjnxjuj.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125*t**3 - 76*t**3 - 130*t**3.\nAnswer: -331*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 - 284*o**2 - 690*o + 115425. Calculate n(285).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 3*v)*(-2*v**2 + v - v)*(1 - 1 + 3).\nAnswer: -18*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hzus when four letters picked without replacement from {h: 2, s: 1, z: 1, j: 2, u: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 574258229.\nAnswer: 31, 18524459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 48441002 to the nearest integer?\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*x + 16. Let c be ((-349)\/3)\/((-1)\/x). Let a = -182 - c. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7682, -7790, -7902, -8012, -8114, -8202, -8270?\nAnswer: -8312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 54\/99*(-11)\/4*10\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/3 and 49\/85285?\nAnswer: 255855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*m + 15*m + 2*a = 0, -5*m = -5*a. Solve 0 = 2*j - 5*x - m*x - 29, 0 = -4*j + 2*x + 18 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15831.76 at least as big as 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 156809 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-4))\/1*-8*41\/(11808\/(-54)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1585739452?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/6 + 0 + 5. Suppose -2*l - 2*y = -60, l - 19 - 11 = -j*y. Is l a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12620 + -12608. Solve 16*u = 2*j + n*u + 16, -2*j + 12 = 3*u for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-8) + 2028\/(-416)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 9 = -3*x + 8*m, -3*x - 12*m = 39 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*v**3 - 5*v**3 + v - v**2 + 3*v**2 + (5 - 5 + v)*(1 - 1 + v**2) - 3*v**3 + 5*v**3 + 0*v**3.\nAnswer: 5*v**3 + 2*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1)\/2*36\/22 and -17\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7744 (b) 0 (c) 35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 divided by -8?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three fifths of a millimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1444 + -5764728458.\nAnswer: -5764728458.1444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4059*p + 12254*p - 12*p**3 - 4079*p - 4116*p.\nAnswer: -12*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 1:51 AM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*j + 41 = 5*o - 5*j, 5*j - 45 = -5*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*o + 33*o = -18 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4829160 and 1176?\nAnswer: 33804120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 12*r**2. Let t(g) = -257*g + 3*g**2 + 257*g. Calculate t(m(f)).\nAnswer: 432*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -17 + 720\/27 + 2\/(-3). Suppose 191 = h*b - 619. Is 9 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = 4*k + 19 + 10, i - k = 2 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 1.2. Put 0.3, 2.3, f in descending order.\nAnswer: 2.3, 0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27809.\nAnswer: 27809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4854983102 to the power of 1\/3, to the nearest integer?\nAnswer: 1693","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of l**6\/720 + l**5\/40 + l**4\/4 - 3*l. Let m(i) be the third derivative of q(i). What is the derivative of m(v) wrt v?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.783221 millilitres to litres.\nAnswer: 0.000783221","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0 + 5*s**4 + s**4 - 3 with respect to s.\nAnswer: 24*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105780865342 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/((o*o*o\/(o*(o\/((o*o*o*o*o*o**(1\/3))\/o))\/o))\/o))**24*(o*o*o\/((o**(2\/7)\/o*o)\/o))**(-2\/57) assuming o is positive.\nAnswer: o**(-31972\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -32 + 6 + (12 - (3 - -10))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - (6 - 7)) + 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1012 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -6*d**2 + 607*d - 15304. Give u(53).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -772 + 767. What is the closest to -19 in 1\/12, -0.1, t, -0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004767 to six dps.\nAnswer: -0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.3, 0.2, 5\/31, -4?\nAnswer: 5\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 PM and 8:45 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8679017 and 2796.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zoyzrrmyyoyjyyyoyzr. What is prob of picking 1 y and 1 r?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 41967829 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3 + 1244692*b**2 + 387274710500*b - 24790679992576.\nAnswer: (b - 64)*(b + 622378)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8538?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -6*14\/(-294) - (-6277)\/7 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(3*-1*sqrt(17) + 0 + 6*2*sqrt(17)*-5)**2.\nAnswer: -67473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, t: 9, k: 4}. What is prob of sequence kkk?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f**(-1)*f))**(-1\/74)*(f\/(f*f*((f**0*f)\/f)\/f*f*f))**(1\/5)*((f\/(f*f**(1\/3)))**45)**(-8) assuming f is positive.\nAnswer: f**(22121\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -327 - -933. List the prime factors of r.\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/7, 2\/9, 2\/11, -31\/4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9080.91 centuries to months.\nAnswer: 10897092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 - 5420*p. Let t(r) = 35*r + 30*r + 33*r + 36*r - 136*r. What is d(t(y))?\nAnswer: 4*y**2 + 10840*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence id when two letters picked without replacement from diid.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 6. Suppose -b + 22 = 3*i, r*i - 8*i = -b + 22. Suppose -b = -2*j + 30. Calculate the remainder when j is divided by 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -209.79 + 210. Which is the third smallest value? (a) t (b) -0.3 (c) -2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-23))**(18\/5) assuming n is positive.\nAnswer: n**(-414\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x**2 - 3. Let f be p(-2). Suppose -f*c = -c - 8. Let l be (-177)\/(-7) - c\/7. Solve -5*z + 5*w = 25, -3*w = 5*z - 0*z + l for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (20\/70)\/1 + 3939\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*h + 285 = -40*h - 37*h for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -458 and -8653.\nAnswer: 3963074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*s + 509 + 103 = -96 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -5*h - 5*p, 287*p - 5 = -h + 282*p for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 682.0175 litres in millilitres?\nAnswer: 682017.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 - -12. What is the nearest to z in -0.3, 5, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in r**5\/8 - 6*r**4 + 277*r**3\/4 - 119*r**2 - 14259*r\/8 + 6860 = 0?\nAnswer: -5, 7, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 3*a, 0*t + 5*a = 3*t. Suppose 0 = 4*j - 12, -1 = -5*i - j + 7. Let m be 2 + (i - (-183)\/(-63)). Which is smaller: t or m?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) 2\/5 (c) -34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 38 = -2*z, 0*z + 33 = 4*c + z. Let t be 377\/c - (-8)\/56. What is the highest common divisor of 9 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 876031.7 decades to millennia.\nAnswer: 8760.317","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1209.\nAnswer: 3, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 2*l = -668, -3*l + 56 = -o - 152. Let q be 385\/o - (4 + -2)\/8. Which is the nearest to q? (a) -3 (b) 0.5 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 165 + -209 - (1 - 26)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-6) + 12 + (290\/(-12))\/(-5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 756 and 1701.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 10. Suppose v*z - 3 = 3*y + 2, -10 = -5*z + 4*y. Let s = 0.2 - -3.8. Which is the second biggest value? (a) z (b) 5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (205 - 171) + ((3 - 2) + 4 - (9 - -3)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = -3*b + 23 - 5, -b = -4*c + 11 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -5. Suppose z*a = -26 + 1. Let w = a - -21. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(24\/(672\/10))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*t + 208154974 = -62*t + 208156196 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of x**7\/42 + 13*x**3\/6 + 13*x + 15. Let v(i) be the first derivative of u(i). What is the second derivative of v(l) wrt l?\nAnswer: 20*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in 0, 0.1, -18, 3\/4?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -83, -165, -247, -329, -411, -493?\nAnswer: -575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 + 2 - 0) + 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uo when two letters picked without replacement from {a: 2, u: 2, d: 1, o: 1, f: 7, r: 4}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48 divided by -8.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -42, -75 in increasing order.\nAnswer: -75, -42, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000112627 to seven dps.\nAnswer: -0.0000113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + w + 0*w = 53, 9*v + 5*w + 72 = 3*v + 229 for v.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 59359580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -19571*v - 606698. What is n(-31)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 101 = 3*l - 88, 5*o + l = 327. Are o and 0.1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101111001 - -11011?\nAnswer: 110010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -422, -308, -140, 82, 358?\nAnswer: 688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -702 + 702.3. Let m = -3733\/15 - -249. What is the biggest value in m, u, 4, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (8*(-416)\/1920)\/((-124)\/3) and -20\/2759.\nAnswer: 27590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81646\/131 equal to 624?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 115 = -0*j. Let f = j - 2. Suppose 5*h = -3*l + 61, l - f = h + 2. What is the smallest common multiple of l and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3995.\nAnswer: 5, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do -16 and -36619\/2337 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 divided by 60?\nAnswer: 121\/60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -10983600 to the nearest one million.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/5 - 3978*q - 1019592\/5.\nAnswer: 2*(q - 9996)*(q + 51)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 2*w - 331, 4*i + 0*i + 471 = 3*w. Is w a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3129*m**3 + 2999*m**3 - 170*m**3.\nAnswer: -300*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2218594899 to the power of 1\/2, to the nearest integer?\nAnswer: 47102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + 10*k**2 - 10*k + 27. Let i be h(-11). Solve -4*o + i = -2*g, o = -0*o - 3*g + 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(((-6)\/(-36))\/((-1)\/(-2))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 19\/114491 (b) -3 (c) 0 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 83406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/9 - (-2526722)\/198 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*x = -34*x + 4485. Does 13 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 36*m - 2. Let r be v(4). Let w = -98 + r. Calculate the highest common divisor of 4 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of -5*p**3\/3 - 3*p**2 + 6*p - 98. Let y(r) = -5*r**2 - 5*r + 5. Give -5*c(m) + 6*y(m).\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00006767 to 6 dps.\nAnswer: -0.000068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 26.465976 minutes?\nAnswer: 0.01837915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 + ((26 - 22) + -1 + (3 - -2) - 9)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c*c\/((c*c\/c**(-4))\/c))\/c*c)**(-23)*((((c\/c**(3\/2))\/c)\/c)\/c)**34 assuming c is positive.\nAnswer: c**(-73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + -2 + -7 + 2 + -2 + 16?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, h: 2, d: 3, t: 4}. Give prob of picking 1 t and 1 d.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*v - 48*v + 121*v - 29*v - 10*v.\nAnswer: 28*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 11. Suppose -y*m = 3*u - 111, -4*u - 2*m + 170 - 24 = 0. Suppose -2*p = -223 - u. Calculate the remainder when p is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4ce + 2bca?\nAnswer: 26fc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - (4 - 5)) + 19 + -45 - -7?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*2*sqrt(77) + sqrt(77) - ((sqrt(77) - -1*sqrt(77)*-5) + sqrt(77)))\/(-4*(sqrt(11) - -6*sqrt(11)*2)).\nAnswer: sqrt(7)\/26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -23, -43, -61, -71, -67, -43?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 AM and 6:08 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/11 + (-55180)\/1351020)*6\/(-8)?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21235.56mg to kilograms.\nAnswer: 0.02123556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2807*b + 13835. What is v(-5)?\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k*k*k*k\/(k**(-2\/9)\/k))**(-34))**19)**(-47) assuming k is positive.\nAnswer: k**(1700272\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 19 and 0.14 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*n - 720 = -41*n. Solve 0*i + n = 2*i + 4*x, 4*x = 3*i + 5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64 - 121 + z**2 + 57.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -10533063 divided by 3511021?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of h**5\/30 + 3*h**2. Suppose 5*z = -u + 18, -z = -3*z + u + 10. Let x(q) = -3 + 7 - z - q. What is d(x(v))?\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/39 or -1?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l + 6. Let m(v) = -1. Let f(t) = -m(t) - n(t). What is f(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3675.5 + -3676. Put 0.229, n, 2\/15 in increasing order.\nAnswer: n, 2\/15, 0.229","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oy when two letters picked without replacement from icooocyio.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150*i - 72 = -132*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2560*t + 17905. Determine a(7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/5)\/((-30)\/(-36750)*35). Solve 5*g + 4*m + z = 2*m, -3*g - 2*m = 20 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 0 - (8 - (7 - -5))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9333 + -9333. Let z be 10\/6 + 4\/(-6). Let u be z - ((-14)\/(-16) + 0). Sort 1\/6, u, a.\nAnswer: a, u, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 + 6*c**2 - c - 11. Let w be b(-6). Let t = 2 + -5. Put t, w, 2 in decreasing order.\nAnswer: 2, t, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j - 5*j = -55 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*x**5\/7 + 1024*x**4\/7 + 34526*x**3\/7 + 30484*x**2 + 158288*x\/7 - 21632\/7 = 0. Calculate x.\nAnswer: -13, -8, -1, 2\/17, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 371 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 20997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 c when two letters picked without replacement from {a: 3, b: 1, c: 4, u: 5, v: 6, o: 1}?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g\/(g\/(g\/(((g**(-2\/11)*g)\/g)\/g)))*g*g*((g*g**7\/g)\/g)\/g)**(-3\/17))**(4\/17) assuming g is positive.\nAnswer: g**(-1476\/3179)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -18\/7*q**2 - 207\/7*q + 3\/7*q**3 + 66 = 0.\nAnswer: -7, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 7:39 PM?\nAnswer: 3:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 2*n - 8, -4*a - 4*n = -3 - 25. Let m be 54\/a + (1 - -1)\/(-1). Suppose 5*w + 6 = -2*r + 32, 10 = -5*r. Are w and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*v + 1 = -18*v + 5. What is the closest to v in -0.1, 4, 161, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 15 = 3*s, 2*u + 3*u - 5*s + 5 = 0. What is the second derivative of -4*t**5 + u*t**5 - 6*t + 3*t wrt t?\nAnswer: -20*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-294)\/(-70) - (-2)\/(-10). Solve -l*v + 0*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -6*n. Let k(w) be the second derivative of 13*w**3\/6 - w**2\/2 - 58*w. Calculate 2*k(b) + 5*t(b).\nAnswer: -4*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1266*h**2 - h**3 + 1272*h**2 - 34*h - 34*h)*(3*h + 3*h + h) as d*h**4 + l + g*h + n*h**2 + k*h**3 and give d.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6051 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 6. Let p(g) = g + 11. Let f be p(-10). What is the units digit of (3 - r - f) + 63?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10358?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + 7*t**2 + 5*t + 8. Let s be d(-6). Suppose 0*w - s = 4*f + 2*w, -5*w = -3*f - 17. What are the prime factors of 11\/2 + (-2)\/f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - 15*r**2 + r + 35. Determine x(-16).\nAnswer: 275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*m + 9*m + 9*m + 5*m**3 - 4*m - 9*m**2 - 12 + 7*m**2 to d*m + z*m**3 + r + l*m**2 and give r.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/7 - (16 - (-520)\/(-35)). Let x be ((-42)\/(-35) - 1)\/o. Let y be 6\/4*-1*2. Put -0.3, -6, y, x in descending order.\nAnswer: x, -0.3, y, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 1107 = -3*d, k - 45 = 4*d + 339. What are the prime factors of k?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (15\/(-12))\/(4\/896). Which is the smallest value? (a) 2\/13 (b) 0.2 (c) -2\/9 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -142623 divided by 3\nAnswer: -47541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -15, 9, -2, 3 in increasing order.\nAnswer: -15, -4, -2, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -25*n - 19. Determine p(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 157313 + 5890 = 2*z, -108802 = -2*v + 2*z. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-198)\/(-9) - 27)\/(-1). Solve 0 = r*m - 26*w + 31*w + 5, 4*w + 4 = 4*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -3*v**5 + 3309*v**4 + 491238*v**3 + 17658150*v**2 + 33855837*v + 16685613 = 0.\nAnswer: -67, -1, 1239","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11.926019 + -13.29.\nAnswer: -25.216019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16756 and 147854?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 78265 and 128070?\nAnswer: 1408770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/(-126)*((-48)\/9)\/(-2)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 57*l**2 + 350*l + 14. Let x be t(-50). Solve 19 = -a + 3*m, 5*a + 17*m + 5 = x*m for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 + 21*j**2 + 18*j - 36. Let x be o(-20). Let s = -21 - -24. Let w be (-1 - -3 - s)*-7. Sort -4, x, w.\nAnswer: -4, x, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -12 - 21. Let o(u) = -u**2 - 14*u - 30. Let r be o(k). Suppose -2*t + r*j + 285 = 0, -j - 245 = -2*t - 6*j. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.6472, 3\/7, -0.1?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12661 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of 18 - 13\/2*h**2 - 4*h**3 - 15*h - 1\/4*h**4. Let c be s(-11). What is the highest common divisor of c and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 332 + -336. Which is the closest to -1\/4? (a) z (b) -2\/3 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -4*l**3 - 7*l - 1. Let s = 7 + -1. Suppose 0 = -i - 5*f - 31, -2*i + 2*f = -2*f + 6. Let g(h) = -7*h**3 - 13*h - 2. What is i*z(w) + s*g(w)?\nAnswer: 2*w**3 - w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - -4)\/((-10)\/(-85)). Let k = -12 + j. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c + 0 + 0 + 0*c + 4*c - 5*c + 0 - c + 0 + (2 + 1 - 5)*(-c + 3*c - c) - 3*c + 2*c - c + (1 - 1 - 3)*(-2*c + 5*c - 4*c).\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 4*u = 32, 5*c - u + 0 = -17. Let q = 0.322 + -0.622. What is the biggest value in c, 0.01, q?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10043 - -10181. What is the greatest common factor of p and 2553?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(28) + (sqrt(308) - (sqrt(308) + sqrt(308)*2 + sqrt(308)))\/sqrt(11) + sqrt(28) + sqrt(28))\/sqrt(4) - -3*sqrt(7)*-1*5)*5)**2.\nAnswer: 39375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/((-36)\/(-42)*98\/(-42)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.288642895*0.3\nAnswer: -0.0865928685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*m + 18*m + 66 - 130 + 64.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -412 + 415. Let n(k) = -k**2 + 3*k - 1. Calculate n(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 25 = y, 0 = -2*y + 6*u + 3136 - 3178 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 2:00 AM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 2*o**3\/7 - 89734*o**2\/7 - 3052708*o\/7 - 3592080 = 0?\nAnswer: -20, -14, 44901","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = c, -2*c + 27 = 5*z + 7. Suppose -5*x = -3*j - 2*j - 390, 2*x - 152 = 4*j. Calculate the greatest common divisor of x and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 392 + -389. Solve q - 11 = -3*g - 4*q, r*g - 5*q = 1 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -49 - -109. Let x = n - 68. Which is the closest to x? (a) -1\/2 (b) 0 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of -g**4\/24 + 5*g**3\/6 - 2*g**2. Let j be i(0). What are the prime factors of (-2)\/2 + j + 7?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*(s**(2\/13)*s)\/s*s*s\/s**(2\/15))\/(s**(1\/2))**(-11\/2) assuming s is positive.\nAnswer: s**(5281\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -707399 + 0.5?\nAnswer: -707398.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/39 (b) -13 (c) -7 (d) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -25.04857 to zero decimal places.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1345 <= -433?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/15 - (-11571)\/(-35). Let j = c - -27141\/82. What is the common denominator of -111\/10 and j?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 3*n**3 + 1 + n + 8*n**4 + 2 - 6 - 9*n**4 in the form q*n + a*n**3 + i*n**2 + t + v*n**4 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5\/6 (b) 78 (c) -95\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 2*u = 0. Let d(r) = 0*r + 9 + u + r. Let m be d(-7). Solve -m*q + 0*q - 8 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*s - 295687 = -19*s. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 262, 562, 912, 1318, 1786, 2322?\nAnswer: 2932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/385 - (-71)\/((-24683505)\/(-7413))?\nAnswer: -1\/215","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185 - 55 = -34*i - 346 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*a**3 + 731*a**3 - 117*a**3.\nAnswer: 636*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hwh when three letters picked without replacement from whwwwhwwwhhwww.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 8:56 AM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 0*g = 2*g + 3, 5*g = -4*n + 12. Let l(s) = -s**2 + 5*s - 3. Give l(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3492 = -83*z - 2100 - 4570 + 2194 for z.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(2448) + -4)*-4*-6 + 1.\nAnswer: -71 + 288*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 67.2.\nAnswer: -201.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-1)*39\/(-208)*-12*(-8)\/10.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 104 and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + 25*g**2 + 28*g - 53. Let r be d(26). Is 7\/61 smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 2*b = 5*m - 115, -4*m - b = -72. List the prime factors of m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/24 and 15\/32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 159 a factor of 6840339?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3012?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17976 and 2402428?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 13*n + 3. Let a(i) = i. Give 4*a(k) - f(k).\nAnswer: -9*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*q**4 + 19*q**4 - 13*q**4 - q**4 + q - q + (-3*q**4 + q**4 + 0*q**4)*(-3 + 7 + 2).\nAnswer: -12*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -279797, -559592, -839387, -1119182, -1398977?\n\"Answer: -279795*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 252947944 to the nearest integer?\nAnswer: 632","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -489 * 0.1\nAnswer: -48.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 882\/8 + 2\/(-8). Let x be (-1)\/(-3)*3 + v. Is (11\/33)\/(1\/x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -108\/14561 or -1?\nAnswer: -108\/14561","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 98\/(-14)*1 - 0.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of -h**4\/4 - 4*h**3\/3 + 2*h**2 + 5*h - 2. Let v be b(-5). Suppose q + v = 21. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -4013506 = -4013507?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 20 + (4 - 15)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 u, and 1 m when three letters picked without replacement from mjvuvvuvjvulmvuju.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -4*c - 89, 2*r - 3*c - 60 = -0*r. What is the remainder when r is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13420 + -618839775.\nAnswer: -618853195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 - 29*a + 150. Let j be w(21). Find the common denominator of -89\/52 and (-1488)\/640*15\/j.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x + 6331 = 38071. List the prime factors of x.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/4*(-16)\/4. Suppose y + 1 = n. Calculate the remainder when n is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, k: 1, g: 2, q: 1, u: 2, z: 1}. What is prob of sequence qumu?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 252*u - 2. Let m be a(2). Let b be m - 0*1\/(-2). Suppose g - b = -2*p, g + 4*p - 505 = -p. 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: What is the square root of 19250117 to the nearest integer?\nAnswer: 4387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*u = -41*u. Solve g + u = 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7.268 - -0.428. Let k = b - -0.64. What is k rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + -27 + (31 + -14 - 2)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of y**3 + 562*y**2 - 93*y - 4 wrt y?\nAnswer: 6*y + 1124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -2*x - 5*y - 34, x - 5*y = -23. Let g(d) = -2*d - 24. Calculate the remainder when 29 is divided by g(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-176)\/(-28) + (-10)\/35?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of v**2 + 120 + v + 2*v**2 + 39*v**2 + 6*v**2 wrt v.\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 78\/353 + -35727\/3530. Let w = 1274 - -2409. Let s = 29399\/8 - w. Calculate the common denominator of s and b.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33*u + 35*u - 64*u)*(-5*u - u + 3*u) + 2*u**2 - u - u**2 + 0 + 1.\nAnswer: 187*u**2 - u + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or 116\/40971?\nAnswer: 116\/40971","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -27*o**2 + 5*o + 14. What is k(-2)?\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 90\/9 + -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 7*m**3 - 34*m**2 + 4*m + 2. Calculate g(4).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j - 5 = 3*q - 35, 0 = -4*q - 2*j + 62. What is the remainder when 165 is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/2579612 and -45\/4?\nAnswer: 2579612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29\/(232\/(-32)) - (-18)\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 83\/36 - 14\/9. What is the closest to 0 in q, -3, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010111011000010101001 (base 2) to base 5.\nAnswer: -1213111043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 7*l + 36. Let h be j(-5). Is -2\/1795 smaller than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gkkaakogklg. What is prob of picking 4 a?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*f**3*l**2 + 19*f**3*l - 318*f**3 + 6808*f**2*l**2 - 2*f**2*l + 4*l**2 + 947*l wrt l.\nAnswer: -28*f**3 + 13616*f**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61, 45, 15, -35, -111, -219, -365, -555?\nAnswer: -795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(1 - 4\/6). Let g be 0 - 2 - (-2 + -18). Is g\/n*37\/(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 39, 1, 15, 217 in ascending order.\nAnswer: 1, 15, 39, 217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 76890124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.9804256 kilograms?\nAnswer: 980425600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 325695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 0. Let x be 3\/2 + b\/(-2). What is the derivative of -x - 2 - 1 + 5 - 2*u wrt u?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to -128\/624159?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 + 10*r - 7. Let q(f) be the second derivative of -5*f**3\/6 - f**2\/2 - 7*f. Calculate the smallest common multiple of q(-3) and i(5).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 13479211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - m = 296, -5*k - 596 = -3*k + m. Let h be k\/(-160)*(-6)\/(-15). What is the smallest value in h, -6, -0.01, -0.1?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 11 = -2208*u + 2209*u, 3*u - 7 = -4*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - ((-4 + 1 - -6) + -4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -192.8 - -526.5. Let f = 367 - a. Round f to zero dps.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 - 15*u**2 + 32*u + 6. Does 19 divide g(-17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(9 + (-105)\/12)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8531196 is divided by 14967?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/197285493 and 68\/12483?\nAnswer: 591856479","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5 + -3 + 36\/(-16). Which is the third biggest value? (a) 3 (b) -2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 3, -71.\nAnswer: -71, -5, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 236 + 25*s - 9*s - s**2 - 231. Let w be h(16). Solve b + 2*n - 7 = 0, -b + 16 = w*n - 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/9)\/((-1)\/9). Let g(s) = -s**2 - 4*s - 1. Let w be g(i). Suppose 0 = -6*l + w*l + 180. Round l to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 12:12 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -81222.66 to the nearest ten.\nAnswer: -81220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 20085335 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -8*o + 4. Give a(-2).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -g - 5*b, 7 = 4*b + 19. Suppose -4*h - r + 140 = g, -3*r - 3 = -15. What are the prime factors of h?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m**2 + 2*m - 4*m**2 - 3*m + (6401 - 6401 - 67*m**2)*(-2 - 2 + 2).\nAnswer: 133*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -51.615592 - -55459457.615592. Let h = a - 55459718.00227. Let c = 312 + h. What is c rounded to 4 decimal places?\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {t: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -q - q + 3*q + 3 + 3*q - 3 - q + 5*q - 5*q + (2 + 0 - 3)*(-2*q + 3 - 3) + 0*q + 0*q + q + 0*q + q - 3*q in the form m + c*q and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of ((-396)\/(-15))\/((-17)\/20 - -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 218 - 119. Let q be 1387\/133 + (-4)\/(-7). What is the greatest common factor of q and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22 is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/6, -2\/17, -970, -0.3, -0.4?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of 3*o**4\/4 + 10*o. Let f(z) be the first derivative of -z**2 - 30. What is f(b(l))?\nAnswer: -18*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2364*x = 2301*x + 2457 for x.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 58636 divided by 29318\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 163320006571 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-248)\/3)\/(4\/(-90)). Let p be -2*-3*8\/(-12). Is (2\/(-6))\/(p\/y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 179\/2 or 57\/5?\nAnswer: 179\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-21*(13\/(-234))\/(2\/3))\/((-97)\/(-1164))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 2 = 4. Let d be 1\/(-3) + g\/6. Let r(k) = k - 3. Let h be r(2). Which is greater: d or h?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3 - -0.5. Let w = -8.274 - -0.174. Let t = w + 2.1. What is the second smallest value in t, -2, k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530.6418l in millilitres?\nAnswer: 530641.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 3*m + 148. Let b = 315 - 320. Is l(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 47*a**2 - 24*a + 140. Give o(6).\nAnswer: 1688","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 9*h + 1003. Let r(m) = 2*m**2. Determine r(k(v)).\nAnswer: 162*v**2 + 36108*v + 2012018","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 46*y + 62*y = -68, 2*x - y = 13 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*v - 4*v - 4. Let j(a) = 2*a**2 - 2*a**2 - a**v. Let h(n) = -4*n**2 - 3*n**2 + 0*n**2 + 0*n**2. Give j(h(g)).\nAnswer: -49*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 256\/(-24) + 1 + 3\/(-9). Let p be ((-2)\/5 - (-6)\/b)*-62. Solve p = -5*i + 42 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -83 (b) -1\/3 (c) -26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30138 and 4?\nAnswer: 60276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*o**2 + 2*o**3 - 4*o**2 + 10*o**2 wrt o?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 - 7*j. Suppose 0 = -4*y - y + 5*c + 10, -5*y - 5*c - 20 = 0. Let t = 9 + y. Calculate the least common multiple of o(t) and 38.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/15 - (-137)\/(-5) - -3. Let d be 5\/(-1) + 2 - w - -1. Let v(l) = -2*l**2 - 3*l - 3. Let m(z) = 8*z**2 + 11*z + 11. Determine d*v(x) + 6*m(x).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 654536 is divided by 218174.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01629217 rounded to 3 dps?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (176\/(-12) - -2)*-6. Let g = j - 46. What are the prime factors of g?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*k - 14*k + 11*k)*(4 + 0 + 1) + (13*k - 63 + 63)*(-4 + 1 + 4).\nAnswer: -67*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 - 9. Let m be (-2)\/n - 11780\/(-53145). Let h = 67297\/35430 - m. Calculate the common denominator of h and -35\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of 124*d**6\/15 + 23*d**5\/10 + d**4\/24 - 1037*d**2. What is the third derivative of i(n) wrt n?\nAnswer: 5952","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14240405 (base 6) to base 13\nAnswer: 140b3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 0 + -2)\/((-14)\/28).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2583845*d**2 + 182319*d + 1 wrt d?\nAnswer: -5167690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5027813 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m - 9. Let f(l) = 5*l + 37. Let w(c) = -2*f(c) - 9*s(c). Let g = -11 - -11. Determine w(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 438824.5 weeks in milliseconds?\nAnswer: 265401057600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 77 + -78. Let d be (n\/(-2))\/((-1842)\/(-1836) + -1). What is the hundreds digit of d*(0 - 3\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + -0.1. Let j = -0.7 + 0.2. Let h = 0.03 - -2.97. What is the closest to n in h, j, 5\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4258 + 46834\/11. What is the second smallest value in r, -15, 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(108)*2)**2.\nAnswer: 10800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v**2 + v + 66. Does 22 divide m(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 3237342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 4:53 PM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u - 21. Determine p(3).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of 14*p**3\/3 - 7*p**2\/2 + 7. Find the second derivative of i(t) wrt t.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1115564835?\nAnswer: 3, 5, 7, 11, 965857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f + 0*f + f + 4*f - 4*f + 2*f - 5*f + 4*f + 3*f + 3 - 3 - 4*f + (-2*f - 2*f + 2*f)*(-2 + 3 + 1) + (-4 - 5 + 10)*(f - 3*f - 4*f).\nAnswer: -9*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -140, -5\/8, 4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1539 and 152.\nAnswer: 12312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/(sqrt(2)*-1))\/sqrt(7) + 1 + -2*sqrt(45)\/(sqrt(36)\/sqrt(4)*4).\nAnswer: -3*sqrt(5)\/2 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -11111 (base 9) to base 7\nAnswer: -30343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -0.08635.\nAnswer: -0.3454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5, 8, 11, 14?\n\"Answer: 3*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(448)*4*6*6)**2.\nAnswer: 9289725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -9*x - 9. Calculate the remainder when 16 is divided by k(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11390883.\nAnswer: 3, 7, 77489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + -1 - (7 - 17 - -5). Solve -5*n = f*l - 5, 7*l = 3*l + n + 22 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -6 + 4 - -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b + 9. Let i be k(-8). Let r = 17 - i. Suppose r = -3*w + 13 - 1. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -141370 divided by -211.\nAnswer: 670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of n**7\/21 - n**4\/12 - n**3\/3 + 23*n**2\/2 - 39*n. What is the second derivative of l(a) wrt a?\nAnswer: 40*a**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -190*(-4)\/(-12)*6\/(-4). Let n = p + -73. Suppose 3*x - 3*f - 66 = -5*f, x = 5*f + n. Solve x = 5*l + 7 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 - 11*g + 47. Let y be d(-11). Find the third derivative of 44*a**2 + y*a**6 - 3*a**2 + 817*a - 817*a wrt a.\nAnswer: 5640*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1427679 is divided by 3692?\nAnswer: 2567","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 90\/105*(32\/9 - 2)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u. Let y(t) = 3*t**2 - t - 9442. Determine y(l(v)).\nAnswer: 3*v**2 + v - 9442","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1090 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 856 + 349 = 180*j - 1315 for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 781944610 to the power of 1\/5, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 - -7. Let x(p) = 9*p + 3. Suppose 0 = -4*s + 12 + 8. Let i(q) = 4 - s - 1 - 5*q. Calculate n*i(z) - 4*x(z).\nAnswer: -z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 574251985 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 5*l - 2. Calculate the smallest common multiple of r(5) and 1.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 60.2 and -863.\nAnswer: -802.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 - 41 = 5*g. Let t = g - -6. Let h = t + 18. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 - 2*c**2 + 2*c + 1. Let k be v(-3). Let x(d) = -d**3 + 2*d**2 + 6*d - 3. Let q be x(k). List the prime factors of -10*(1 - q\/(-5)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.86 - -0.14. Which is the biggest value? (a) 5 (b) 1\/4 (c) 6 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -2 (b) -0.83 (c) 41 (d) 5 (e) -0.31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 39 + 74 = 0. Let q(t) = -t**2 - 4*t + 24. Let s be q(m). Suppose -24 = -3*w - w. Put s, w, 5, -1 in ascending order.\nAnswer: -1, s, 5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.2 - -3.8. Let t = 607 + -7265\/12. Let f = t - 5\/4. Sort f, 1, u in descending order.\nAnswer: u, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 1\/9419118?\nAnswer: 1\/9419118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 7141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 0.2 (c) 0 (d) 0.7 (e) 5 (f) 80\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2391267?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 - 16*n + 90. Let h(x) = 3*x**2 + 32*x - 181. Let m(j) = -3*h(j) - 5*t(j). What is the derivative of m(f) wrt f?\nAnswer: -8*f - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4740 or 4721?\nAnswer: 4740","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 200*i - 2402. What is u(12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -575*l. Let k(j) = -39*j**2. What is k(d(z))?\nAnswer: -12894375*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*n = -17*n + 1. Let t = -50 + n. Let k = 96 + t. Is 6 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/4*12\/2. Let p be 15\/24*(-6)\/d. Sort 0.3, 2, p.\nAnswer: p, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2183 (base 15) in base 5?\nAnswer: -211343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 1033*x**2 + 317*x**2 + 432*x**2 + 287*x**2 - 15.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.839441 and -49.\nAnswer: -41.132609","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.95387168 rounded to one dp?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 160*x**3 + 635*x.\nAnswer: 960*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 3*b - 6*c + 8, -5*b - 17 = -4*c for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 832963555 to the nearest integer?\nAnswer: 28861","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - -25. Suppose 0 = -2*y - 4*z, -2*y + z - r = -6*y. Suppose -2*d = 2*d - y. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5 - -15*7\/35. Sort p, -75\/8, -6 in decreasing order.\nAnswer: p, -6, -75\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21202220 + 2111101?\nAnswer: 101021021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -3*i + 14. Let o(u) = -6*u + 27. Let t(z) = -2*o(z) + 5*w(z). Let f(s) = s - 5. Let m(d) = 17*f(d) + 6*t(d). Give m(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (75\/(-40))\/5*-16.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = 2*v - 13 + 32, 508*l + 3*v = 511*l + 9 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*c + 85 - 2*c**4 + 3*c**2 + c - 98 - c**3 to s*c + l + u*c**3 + f*c**2 + o*c**4 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 3.3. What is the second smallest value in n, 4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - -14044?\nAnswer: 14100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 0.2743 (c) -2 (d) 5\/2 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -25543, -51043, -76543, -102043?\n\"Answer: -25500*j - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2632, 2627, 2604, 2563, 2504, 2427, 2332?\n\"Answer: -9*n**2 + 22*n + 2619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 3*d - 12, -2*v + 2*d = 3*d - 4. Suppose v = -4*j + 1 + 167. Calculate the remainder when j is divided by 4\/6 - (-62)\/6.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171385636 to the power of 1\/3, to the nearest integer?\nAnswer: 555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*((-12)\/(-42) - -4*(-34)\/280). Which is the closest to -1\/22? (a) 0.4 (b) -1\/3 (c) -23 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154 is divided by 75?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -832 - -832. Suppose 5*v - 101010 = a, 20181 = v + 4*a - i*a. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -9*z + 5. Let l(q) = 19*q - 9. Let d be 4\/18 + (-56)\/9. Let k(s) = d*l(s) - 11*m(s). Is k(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 4*z + 18, -2*z + 3*z = -0*j - 11*j - 5*j + 77 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0711 - -0.2711. Suppose -2*q + 4*q = 6. Which is the nearest to -2\/3? (a) v (b) 2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 139270 and 419276.\nAnswer: 39831220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*-5*(-5)\/2. Find the common denominator of 10\/(-25)*b\/(-11) and -58\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*h**2 + 91*h**2 + 80*h**2 + 603*h**3 - 268*h**2.\nAnswer: 603*h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 13 + (-6 - (2 + -7))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 305681?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.3 - -0.3. Let j = -38.8 + 64. Let c = 26 - j. What is the smallest value in c, m, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7410\/7 + -1062. Is r <= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (0 - -6) + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -7*g - 1. Suppose 3*x + 37 = 25. Determine v(x).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125 - 476 - 345 - 39964*m + 39961*m - 389 + 204.\nAnswer: -3*m - 881","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 6. Suppose 69 = -2*p - t + 86, 4*p - 4*t + 8 = 0. What is the closest to -5 in -0.4, p, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -374, -1170, -1966, -2762?\n\"Answer: -796*o + 422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3015444 (base 8) to base 11\nAnswer: -4a2095","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -9*o**2. Let x(y) = 3*y**2 + 32*y + 30. What is x(k(f))?\nAnswer: 243*f**4 - 288*f**2 + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*a - 43*a**3 - 30*a + 2*a**3 + 34*a**3.\nAnswer: -7*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2688\/10 - 4 - (-2)\/10. Let n = 267 - c. Solve -7 = z - p, -n*z = -p + 6*p - 14 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 5*x - 1078, 5*s = 249*x - 254*x - 5570. Which is bigger: s or -5539\/5?\nAnswer: -5539\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -70, -1685, -3300, -4915, -6530, -8145?\n\"Answer: -1615*a + 1545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -177.44792 to the nearest 10.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -0*r. Suppose -5*y - 2*i + 22 + 12 = r, -y - i + 8 = 0. What is the remainder when y is divided by (-36)\/30*1*(-15)\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2816ff - -5?\nAnswer: -2816fa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 353 + -346. Let s(i) be the first derivative of 0*i + 5\/2*i**4 + 2*i**2 + n + 0*i**3. Find the second derivative of s(p) wrt p.\nAnswer: 60*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/57*1)\/((-3951)\/825759)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*b**3\/11 + 6824*b**2\/11 - 23098*b\/11 + 8148\/11 = 0. What is b?\nAnswer: 2\/5, 3, 679","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -207 - 14?\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 52*g - 274. Let r(s) = -13*s**2 + 2*s + 219. Give m(r(b)).\nAnswer: -676*b**2 + 104*b + 11114","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.46 + -20.6. What is j rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 + 0.0360149?\nAnswer: -0.3639851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 449 divide 8432629?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x + 5*z = 4*x - 7, -2*x - z - 7 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -24*w**2. Let n(p) = 20*p. What is n(h(d))?\nAnswer: -480*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -19 + 6 + 13 + 2*y + 2*y**2 in the form d*y + h*y**2 + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*y - 44 = -14. Differentiate -920 - 8*t**2 + t**y + 994 + 5*t**3 with respect to t.\nAnswer: 15*t**2 - 14*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -2, 8, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2556 = 100*q - 29*q. Solve q*j - 33*j = 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1216)*-2*1.\nAnswer: -16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (25\/10 - 4)\/(4 + -9). Let l(f) be the second derivative of 0*f**2 - 6*f + 1\/10*f**6 + j*f**5 + 0*f**3 + 1\/4*f**4 + 0. Factor l(i).\nAnswer: 3*i**2*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1115308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5295 times -241?\nAnswer: -1276095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 460584 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 23?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2580, -5161, -7742?\n\"Answer: -2581*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/3)*f**2*f*f*(f**(-1\/3)\/f*f)**(-14))**(-33) assuming f is positive.\nAnswer: f**(-297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**3 + 3*q**3 + 2*q**3)*(0*q + 0*q - q)*(-10*q + 4*q + 4*q)*(595 + 737 - 1910)*(2 + 2 + 0).\nAnswer: -9248*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k**4 + 224*k**3 - 232*k**2 - 224*k + 228 = 0.\nAnswer: -57, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 2 + 0 + 2 - -8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 2*z = -34, 0*z - 4*z = -2*t + 36. Let q be t*(-32 + (-3 - -4)). Let x = q - -1031. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35711042183 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -12 - (-3 + 2) - (-51 - -51)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 22\/(-55) + 2161\/2. Let c = x - 1081. Which is smaller: c or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of 5\/6*h**3 - 1\/8*h**4 + 0 - 4*h**2 + 0*h. What is the tens digit of t(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26.1 - 38.162. Let u = y + 12. What is u rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 3*x + 242 = 0, 0 = 12*x - 8*x - 8. Calculate the remainder when p is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -16*k**3 - 4*k**2 + 4*k + 4. Calculate q(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 820 - 61492\/75. Calculate the common denominator of v and 91\/12.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (125 - 87 - (157 + -1)) + 16 + -2?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -1 + sqrt(13) - sqrt(13)) + (sqrt(208)*-5)**2.\nAnswer: 5194","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from etzeexzxexhxexe. What is prob of sequence tx?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 810.3893 litres to millilitres.\nAnswer: 810389.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 238.7088951 to the nearest integer.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1073 and 116?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1137.6 + -1567. What is y rounded to the nearest ten?\nAnswer: -430","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 204 - 40 = 0. Let d = v - 117. Calculate the smallest common multiple of 50 and d.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 183370 to the nearest integer?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 120 + -116. Suppose o + p*o = u + 789, -u + 791 = 5*o. Suppose -o - 132 = -10*r. What are the prime factors of r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 927180 is divided by 4829.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 624 = -3*t, 2*t - 5*q = -4*q - 416. Let o = -101 + t. Let v = o + 1780. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/1641 or 1?\nAnswer: -2\/1641","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1927\/2877 + 3\/959. Let v be 1 + (190\/(-92) - -1). Let t = -35\/184 - v. Which is the second smallest value? (a) t (b) g (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of 0 + 0*d**3 + 0*d**4 - 131*d**2 + 13\/60*d**5 + 0*d. Let a(m) = 12*m**2. Determine x(a(t)).\nAnswer: 1872*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.1, -4776, -0.1, -10?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/((189\/14)\/(-9)). Sort l, -0.1, 4, -14 in increasing order.\nAnswer: -14, -0.1, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -78.8098981 to 0 dps.\nAnswer: -79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 438 and 0.15.\nAnswer: 438.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000027524 to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -6*w + 7 - w**2 - 2*w + 0. Let u be h(-9). Let o be (u\/(-2))\/(2\/60). What is the greatest common divisor of 12 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 + 35. Let z = -25.52 + l. Round z to one decimal place.\nAnswer: -3.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -61 divided by -2\nAnswer: 61\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67033*j**2 + 21*j**3 + 67033*j**2 - 12*j**3 + 30*j**3.\nAnswer: 39*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 455\/8*h - 169\/4 + 3\/8*h**3 + 19\/2*h**2.\nAnswer: (h + 13)**2*(3*h - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116*o**3 + 111*o**3 - 475*o**3 + 118*o**3 + 16*o**3 + 111*o**3.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 10*x - 7. Calculate z(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (108 - 113 + 2*g - g)*(-20 + 2 - 2) + (-2*g - g + 5*g)*(1 - 3 + 0) + 4*g - g - 2*g.\nAnswer: -23*g + 100","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 127443.589 and 5.\nAnswer: 637217.945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-6)*109\/(-654)*-42*14?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 63460063 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2372230 rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(637) - (1 + sqrt(637) - sqrt(637)))*1 - sqrt(637)))**2 - -4*(-1 + sqrt(1300)*-4).\nAnswer: -160*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3394 - 1899. Suppose 55 = -10*l + k. Calculate the highest common divisor of 16 and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17542 = -627*y + 613 for y.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1506?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/2, 186, -869.96, -2\/11?\nAnswer: -869.96","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*t - 2*t + 12*t + 4*t + 7*t.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v**2 + 3817. Is y(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -344*r**5\/3 - 718*r**4 - 4669*r**3\/3 - 3838*r**2\/3 - 244*r - 8\/3 = 0. What is r?\nAnswer: -2, -1\/4, -1\/86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3 - j**2 - 2*j - 4*j**2 + 6*j**2.\nAnswer: (j - 3)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qaagzje. What is prob of sequence gqa?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 44790, 44772, 44728, 44646, 44514, 44320, 44052, 43698?\n\"Answer: -2*p**3 - p**2 - p + 44794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 0*m - g + 15 = 0, -3*m = 2*g - 15. Solve -4*k = -m*k + 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-18) + 28\/(-90) - (-9 - -8).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*(-7)\/(-42)*-628. Let p = 349 - q. Solve 6*w + 31 = 2*w - 5*x, -5*w - 5*x - p = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 1, -2\/623, 5, -5\/43, -5\/2?\nAnswer: -2\/623","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 330803559?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105375 is divided by 1955?\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7278 (base 11) to base 10.\nAnswer: -9644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -8.2*0.01\nAnswer: -0.082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((31 + 50)\/1296)\/(1\/592).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1039, -937, -741, -439, -19?\nAnswer: 531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*u**3 - 238*u - 7*u**3 - 22*u**3.\nAnswer: -35*u**3 - 238*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -12811.41 to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 976909 divided by -1?\nAnswer: -976909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {n: 9, h: 1, q: 4}.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81.40374 litres to millilitres.\nAnswer: 81403.74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*b - 43585 + 14179 = 0. Suppose -b = -27*n + 24*n. What is the highest common factor of 26 and n?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i + 78. What is the tens digit of v(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 4*t**3 + 14*t**2 - 8*t - 5. Let p(d) = -3*d**3 - 9*d**2 + 5*d + 3. Let b = -53 + 61. Calculate b*p(j) + 5*u(j).\nAnswer: -4*j**3 - 2*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21404*x**5 + 3*x - 2700 wrt x?\nAnswer: 428080*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 404820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 0, 3367, -91 in decreasing order.\nAnswer: 3367, 5, 2, 0, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from fhbfkjjak.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -82*f + 252 + 404. Solve 0 = 9*x - 13*x - f for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 378 a factor of 29862?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -12. Solve 5*w = -v*z + 20, w - 8 = -w - 5*z for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (b - 1 + 1)*(1 - 4 - 4)*(2*b - b - 2*b) to y + o*b + g*b**2 and give g.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of 16*a**7\/105 - a**6\/20 + 41*a**5\/30 - 2*a**3\/3 + 780*a**2. Find the third derivative of j(x) wrt x.\nAnswer: 768*x - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -5*z - 0*n - 1149, -5*z = 5*n + 1165. Suppose -293 = 5*v + 517. Let d = v - z. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3 + 410*q**2 - 37532*q + 73432.\nAnswer: -(q - 274)*(q - 134)*(q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 - 7*b**2 - 5*b + 12. Let p = 1644 + -1636. Calculate f(p).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -436, -971, -1606, -2341, -3176?\nAnswer: -4111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ubsb when four letters picked without replacement from wbuybdusbdbbyddd.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 0.5 (c) 2\/15 (d) -93 (e) 31\/59 (f) 5\/2 (g) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -71 and -1.5?\nAnswer: 69.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85 is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 1)*(1 - l - 1)*((1 - 5 + 3)*(2 - 1 + 3) - 1 + 0 - 1 + 2 - 1 - 2 - 3 + 6 + 1).\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 186227?\nAnswer: 186227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -7434 divided by 59\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1107298279463 minus -4?\nAnswer: -1107298279459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -243 or -69?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2*q = -166, 5*u + 4*q = 2*q + 418. What are the prime factors of u?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99466176.\nAnswer: 2, 3, 139, 3727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z + 12. Let p be a(-10). Let o be ((-3)\/p)\/((-3)\/8). Solve 0*q + o*q = -8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2058389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12790 and 10680?\nAnswer: 13659720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3 = 0, -6*d = -2*d - 2*r - 30. Suppose 2*t + d*q + 2 = 2*q, t = 2*q + 11. Solve -x - z = -2*x + 1, 2*x - 11 = t*z for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - -3. Let i(o) = -2*o - 2. Let d be i(-3). Let l = 3 - 4. Put l, d, k in decreasing order.\nAnswer: k, d, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 PM and 6:09 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 10*v**3 - 2*v**2 - 2*v - 2. Let r(j) = 129*j**3 - 27*j**2 - 27*j - 27. Let b be ((-1)\/(-2))\/((23 + -29)\/48). Give b*r(s) + 54*y(s).\nAnswer: 24*s**3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -47*a**5*m + 2*a**5 - 60*a**3 - 36958*a**2*m - 6*a**2 wrt a?\nAnswer: -2820*a**2*m + 120*a**2 - 360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - a**2 + 14. Let y be r(0). Let z = y + -11. Suppose z*l - 87 = -0*l. List the prime factors of l.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 48*s - 46*s - 449 = 0, 2*q - 5*s = 197. Let g be (-1 + 2)*30\/2. Let r = q + g. What are the prime factors of r?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 851*q - 659*q + 2*q**2 - 1522 + 4054 - 5*q**2 + 4227 with respect to q.\nAnswer: -6*q + 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -78*-2*2 - 24\/12. Suppose 22 = 4*q - z. Let n = q - 79. Solve 0 = -h - n*a + 16, -2*h + a - 4 = h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-255)\/(-27))\/5 - 2. Let g = -1.19 + 147.19. Let u = g + -146.01. What is the biggest value in u, -5, b?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 105 and 1540791?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -172912*h**2*l**3*m + h**2*l + h*l**3 - 7*h - 1725 wrt m?\nAnswer: -172912*h**2*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*6*(-2)\/(-60)*1.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 40966.26 and -12932.\nAnswer: 28034.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21460*m**3 + 59*m**2 + 150890*m**3 - 32*m**2 - 27*m**2.\nAnswer: 129430*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 + -16. Let s(o) = -r*o**2 + 2*o**2 - o**2 + 12*o**2. Let b(k) = k. Determine b(s(u)).\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10914017?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 51605?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*p + 231\/4 + 1\/4*p**2 = 0.\nAnswer: -231, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 - 51*q**2 - 340*q + 312. What is n(-43)?\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, x: 2, q: 3}. What is prob of picking 1 v and 2 x?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 314 - 304. Suppose s = 4*p + 420, -5*s + x*s - 2082 = 2*p. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*t - 40*t + 248 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 9:31 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 40 (b) 4 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 2*v. Suppose 60 = -v*o + 3*o. Suppose 6 - o = -t. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-5)\/(-2))\/((-2)\/(-4)). Suppose 9*x = 9*x + l*x. Solve 5*r = -20, 2*r = -4*y - x*y - 24 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18735.\nAnswer: 3, 5, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**5 - 2*s**5 - s**5 + (1 + 2*s**4 - 1)*(5*s - 5*s - s) + 2*s**5 + 2 - 2 - s**5 - s + s - 2*s**5 + 3*s**5 + 0*s**5 + (-4*s**4 + 0 + 0)*(6*s - 3*s - 4*s).\nAnswer: 2*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-5 - (-22)\/4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44545617 is divided by 2344505?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3151 and 411.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8805.2 + 8805. Which is the nearest to 0.3? (a) -5 (b) t (c) 1 (d) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-30)*22\/(20 - 64).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -9. Let h(a) = a**3 + 6*a**2 + 2*a - 7. Let x be h(i). Suppose 673 + 3331 + 76 = 102*p. What is the greatest common divisor of x and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 + 8*l - 1. What is the common denominator of j(-8) and 97\/30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4731808?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -15 - (11 + -6) - ((-14 - -25) + -26)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of -k**5\/30 - 3*k**2\/2 + 1. Let n(d) be the second derivative of u(d). Let p(a) = -2*a**2. Determine p(n(h)).\nAnswer: -8*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/441564 and 74\/1655865?\nAnswer: 6623460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -45, -5, 3 in descending order.\nAnswer: 3, -5, -22, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*q**2 + 56 - 56 + (-q**2 + 0*q**2 - q**2)*(0 - 1 + 0) - 3*q**2 + 5*q**2 + q**2)*(2 + 5 - 4).\nAnswer: 69*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -619*j**2 - 4*j - 504. Let o(x) = -626*x**2 - 3*x - 504. Let c(w) = 4*o(w) - 3*u(w). What is the derivative of c(g) wrt g?\nAnswer: -1294*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 368.6 + -369. What is the nearest to 21 in p, -3, 0.5, -4\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jxjw when four letters picked without replacement from {w: 13, j: 2, x: 5}?\nAnswer: 13\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 802907472?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - 4*t**2 + t - 9. Let i be q(-5). Let p(d) = 2*d - 6. Let k be p(i). Solve -4*l = -k, -3*l + 15 = 3*g - 0*l for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21125*x**4 + 912275*x**3 + 167880*x**2 + 7740*x.\nAnswer: 5*x*(x + 43)*(65*x + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of p**4\/3 - 14*p**3\/3 - 4*p + 130. Factor z(h).\nAnswer: 4*h*(h - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/12, 4\/23, 1\/3, 2.\nAnswer: 1\/12, 4\/23, 1\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/6)\/((-4920)\/369*(-14)\/210).\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8507 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s - 1. Let y(k) = 6*k + 2. Let z(o) = -o**3 + 8*o**2 + o - 9. Let b be z(8). Let n(j) = b*y(j) - 5*a(j). Differentiate n(g) with respect to g.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178*z = -70*z - 248. Which is greater: z or 1\/10960?\nAnswer: 1\/10960","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 PM and 7:31 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -2 + 2*sqrt(931) + 3 + 4.\nAnswer: 14*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 693 = -2*n - 3*m, n - 215 = 3*m. Suppose 0 = 4*x - 193 - n. Calculate the greatest common divisor of 42 and x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -2*m + 16, -4*t + 2 = -5*m - 3. Suppose r + 4 = m*r. Solve -4*c + r = -2*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 1748*b - 151. Let g(n) = -349*n + 31. Let d(k) = 6*f(k) + 29*g(k). Let o = 21 - 3. Is d(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 21.55195 minutes?\nAnswer: 1293117","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - -2.956209.\nAnswer: 7.956209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3229*i - 3232*i - 3*b + 39, 0 = 5*i - b - 59 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.062, -0.3, 4, 0.282979, -2?\nAnswer: 0.282979","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 950543328 by 148848.\nAnswer: 6386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 538084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i**2. Let u(v) = 6*v + 15*v + 3 - 16*v. Let x(j) = 9*j - 4 + 2 + 7. Let s(n) = 5*u(n) - 3*x(n). Give p(s(r)).\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 + 11*v + 19. Let q be i(-8). Let x be (-2)\/q - 21\/(-10). Let j = 0.2 - 0. Put j, x, 3 in ascending order.\nAnswer: j, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38 + -34. Solve 0 = -2*r - 6 - w for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -422, -2687, -6330, -11243, -17318, -24447?\nAnswer: -32522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 2170706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 10239, 10672, 11385, 12372, 13627?\n\"Answer: -y**3 + 146*y**2 + 2*y + 10092","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 - y**2 - 11. What is a(0)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 7:21 AM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7\/(-14) + (-14)\/(-4). Suppose i = 3*i - 3*r - 1106, 0 = k*r. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -85 + 16*c + 31*c - 53*c. Let f be y(-11). Suppose -3 - 92 = 5*r. Is f > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 2 = 6. Suppose -40*d + 216 = 96. Solve -c = -d*r + r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 + 7*z - 5. Let n be k(7). Let m(o) = -o - 3. Let x(a) = -2*a - 5. Let g = 6 + -3. Determine g*x(i) + n*m(i).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 646?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3456 divided by 32\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-952)\/(-42))\/(-17) - (-64)\/18\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 - j**2 - 3*j**2)*(2*j - 2*j - j + (0*j + j + j)*(4 - 1 + 0) + 0*j + j + j + 0*j + 3*j - 4*j)*(-5*j + j - j).\nAnswer: 60*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u**2. Let h(n) = -73*n + 325*n + 157*n. Determine f(h(b)).\nAnswer: -334562*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 30 = 10. Let i(v) = 2*v. Let m be i(1). Let r be m\/(-7) - 69\/(-21). What is the third biggest value in w, -1\/8, r?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 60, 60, 62, 66?\n\"Answer: g**2 - 3*g + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 9 = -h, 5*w - 5*h = 2 + 3. Suppose -96 = -2*x + 4*b, 6*b - b = -3*x + 122. Calculate the greatest common factor of x and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 152571363 divided by -50857121.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 148 - 33 = 0. Suppose -4*a = -5 - z. What is the second derivative of -t - 8*t**4 - 2*t**4 + a*t**4 wrt t?\nAnswer: -36*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 64971 or 64973?\nAnswer: 64971","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 92256 by 32.\nAnswer: 2883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -73791, -73743, -73665, -73557, -73419?\n\"Answer: 15*y**2 + 3*y - 73809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 6*k - 479. Give i(-22).\nAnswer: -611","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 62459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10643269 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 238630464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 3, -68 in decreasing order.\nAnswer: 3, 0, -5, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32492440 by 24140.\nAnswer: 1346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/8 and 115\/619718.\nAnswer: 2478872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13980?\nAnswer: 2, 3, 5, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/16 > 184?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 + 4*d**2 + 5*d - 30. Calculate k(5).\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 187758670?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 5157 = 6*t - 2*t, -2*u + 2046 = 4*t. What are the prime factors of u?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1111*r + 1347*r + 1282*r.\nAnswer: 3740*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 6*r + r = 11, 4*t - r - 26 = 0. Let h = t - 11. Let i be h*(1 + -2 + 2). Let p(b) = -b - 2. What is p(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 60 - 58. Solve -5*v + 25 = 5*s, p*s - 5 = -4*v + 5 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9.8? (a) 1\/2 (b) 4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 9, u: 2}. What is prob of picking 3 c and 1 u?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/303 + -287\/4848. Calculate the common denominator of -5\/14 and u.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -15) + (78\/(-12) - (135\/6 - 18)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 + 8*t**2 - 5*t + 37. Suppose -2*v - 243 = 25*v. What is x(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 0*d**4 + 10*d**4 + 23*d**4 + 184 + d**2 wrt d.\nAnswer: 132*d**3 + 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*k - 58*k + 9184 = 0. Solve -k*a - 16 = -84*a for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -145a4 + -4?\nAnswer: -145a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of -x**4\/2 - x**3\/3 + x + 1. Suppose -6*g + 12*g - 16 = 14*g. Determine z(g).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -90 (b) 14 (c) 4 (d) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 - 8*v**2 + 7*v - 1. Let z be y(7). Let d be (-49 + 46)*(z - 0). Solve 4*m + 1 = -d for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 250874.\nAnswer: 2, 13, 9649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 6. Let p = 6 + -3. Suppose 5*z = -m, -m - p*z = -2*z - 20. Solve -m = -5*d + b*u, -u = -3*d + 6*d - 15 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2953.4 + 5\nAnswer: 2958.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 PM and 4:13 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 7:00 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(468) + 1)**2 - (sqrt(156)\/(sqrt(3) - (sqrt(12)\/sqrt(4) - sqrt(3))))\/sqrt(4).\nAnswer: -13*sqrt(13) + 469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -72 - 0. Suppose -8 - t = -4*n. Suppose 0 = 2*w + 3*x - 13, 5*x + 5 = -3*w + 5*w. Calculate the remainder when n is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -0*c + 24. Suppose -6*x + 5*g = -7*x + 134, -2*x - 3*g + 268 = 0. Suppose -22*j + x = -460. Calculate the least common multiple of c and j.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 259 + -3. Suppose -67 = 3*g - h. Suppose -2*q + g = q. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of m**3\/6 + 2*m**2 - 2*m + 1. Let n(v) be the first derivative of l(v). List the prime factors of n(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 314*n**2 + 8186*n + 572. Calculate w(-26).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 0.3 (c) 0.4 (d) -28392 (e) 5 (f) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kcsbcmumb. What is prob of picking 1 b, 1 u, and 1 m?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of 11*s**5\/30 - 53*s**3\/6 + 3*s**2 - s. What is the derivative of h(n) wrt n?\nAnswer: 44*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20aa8 (base 13) to base 6\nAnswer: 1132530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 + 30*w**2 - 4*w - 82. Let t be n(-30). Solve -27*z - t + 11 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 23320249 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -q - 3*p + 2, 2*p + 1 = 5*q. Suppose 3*k = 3*f - 2*k - 32, -f + 4*k = -20. Solve -5 = -m - m - x, -f*m + q = -x for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v = 38 - 38. Sort -3, v, 4, 9 in decreasing order.\nAnswer: 9, 4, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 + 3*l. Let g(z) = -z**2 + 4*z + 1. Determine 3*f(w) - 2*g(w).\nAnswer: -w**2 + w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.047171*0.9.\nAnswer: 0.0424539","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1109432514\/21 + 12\/42. Suppose 4*w + 93199988 = -4*a, 63669892 + q = -5*a + 4*w. Round a to the nearest 1000000.\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 2:26 AM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of s**6\/40 - s**5\/15 + s**4\/8 - s**3\/3 - 3*s**2. Let a be y(-5). List the prime factors of a\/(-44) - (-6)\/(-33).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -364.11 - 0.89. Let t = q + 397.8. Let b = 33 - t. Sort b, -2\/5, 1\/12 in descending order.\nAnswer: b, 1\/12, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 94*f - 4 - 96*f + 0 - 2. Let a(d) = d + 17. Let m(i) = -i + 19. Let s(u) = 3*a(u) - 2*m(u). What is 4*s(z) + 9*x(z)?\nAnswer: 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1170 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12.35 + 0.75. Let u = d + 12. Which is the closest to -2\/7? (a) 3\/7 (b) u (c) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91) - (sqrt(91) - -2*sqrt(91)*1))\/(sqrt(252)*-2 + sqrt(252))*3 + -5*(-3 + -1 + sqrt(208) + 2))**2.\nAnswer: -380*sqrt(13) + 4793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/96 and 33\/64.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63524 + 4087 = -7*t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/16 of a millennium?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 80580176?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l**2 - 7*l + 6. Let m be t(-4). Solve -m + 4 = 2*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a decade in months?\nAnswer: 696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 8370.934t?\nAnswer: 8370934000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*d + 5*d - 3*d)*(2*d**2 + 1 - 1)*(-8 - 6 - 6) + (0 + 3 + 0)*(2*d**3 + 0*d**2 + 0*d**2) to the form u*d**2 + z*d**3 + n*d + i and give z.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 19 + -24 - ((-404)\/85 - (-18)\/(-30))\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*x = 62*x + 4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 + 9*i + 9. Let s = 34 - 39. Let b = s - -5. Let n be b + -4 - (-7 + 9). Determine x(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 3) to base 15\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - 1. Let y = 0 + k. Let j = 9 + y. Which is greater: j or -2\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v = 25 - 1. Let x(s) = -11*s**2. Let a(l) = 5*l**2. Let u(j) = v*x(j) - 7*a(j). Let d(f) = -31*f**2. Determine u(d(y)).\nAnswer: -1922*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y + 6. Let c be k(5). Put 2, -4, c in increasing order.\nAnswer: -4, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -9*s - 19. Let v be 331\/7 - (-4)\/(-14). Let l(q) = -76*q - 19 + v + 89*q. Let a(d) = -5*l(d) - 7*u(d). What is a(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 81*n**2. Let v(h) = -44*h**2 - 5*h + 5. Let t(z) = -2679*z**2 - 304*z + 304. Let y(j) = -5*t(j) + 304*v(j). What is y(b(w))?\nAnswer: 124659*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3052 and 3784?\nAnswer: -11548768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 21, 73, 159, 279, 433, 621, 843?\n\"Answer: 17*f**2 + f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sod when three letters picked without replacement from ivsvdsssdssosd.\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1474 - 1467. Let y = 0 + -3. Which is the fourth smallest value? (a) 5 (b) y (c) -4 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2321.5 - 2325.5. Let f = 5.03 + -0.03. Which is the nearest to -1\/5? (a) f (b) 2\/7 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -0*a + 4, 32 = 4*i - 4*a. Let z be 2\/3 + 19\/3. Suppose 4*d - i*c = -z*c + 50, d = 5*c + 1. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2\/139 - -123\/1112. Let t be (-7 + 9)\/(4\/3)*-2. What is the third smallest value in t, 2.2, k?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d - 5*o + 61 + 1529 = 0, -800 = -5*d - 5*o. What is the remainder when 307 is divided by d?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 2736 = 150*y. What is the remainder when 8171 is divided by y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 36, -3, -1 in ascending order.\nAnswer: -3, -1, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15564\/1297*(3\/8)\/1.\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 0 + 0*t - 3\/7*t**2 + 3\/7*t**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 5*n + 5. What are the prime factors of i(6)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 17\/5 - 2\/5. Suppose -4*r - k = -195, -3*r + 135 = -0*r - t*k. Calculate the common denominator of -49\/12 and (-556)\/r - (-2)\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72717 - 145481 + 72764 + 9*l**2.\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 164 + -180 + 16 + 2. Let w(p) = -7*p**2 + 2*p + 1. Let b(t) = -2*t + 5*t**2 + 2*t - 2*t - 1 + t**2. What is s*w(i) + 3*b(i)?\nAnswer: 4*i**2 - 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of 21\/2*z**2 - 3 - 1\/3*z**3 - 7*z. Calculate a(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 + 18*u + 3. Give s(18).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 + b - 2. Suppose -24 = -5*a - 9. Give m(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 221733.4047482518 - 13.2047362518. Let t = 221716.2 - h. Let g = t + 4. What is g rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((91\/637)\/((-2)\/14))\/(-131).\nAnswer: 1\/131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -80 + 82. Suppose h*r = 4*j - 230, 3*j + r - 298 = -2*j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -159 + 163. Let a = -665 - -660.79. Let y = 0.21 + a. Sort 2, h, y, -5 in ascending order.\nAnswer: -5, y, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 116\/(-145)*(-45)\/2. Calculate the remainder when 97 is divided by 312\/20*60\/i.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4\/2 + 2 + 163?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13520 (base 9) to base 12.\nAnswer: -5383","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -488, -1, 0, -0.03 in increasing order.\nAnswer: -488, -1, -0.03, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*j*v**4 - 7770480*j*v**3 + 16*j*v + 2*j - 7156*v**2 - 142*v wrt v.\nAnswer: -120*j*v - 46622880*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, -3, -21, -1, 3, 0, 11 in increasing order.\nAnswer: -21, -3, -1, 0, 3, 11, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3119, -12469, -28053, -49871?\nAnswer: -77923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 38\/7 - 9\/21. Solve 4*r - 3*r = -3, -3*r - 9 = m*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7793556 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 15 = -2*f + 36, o = 4*f - 49. Is f\/(-2) + 1 + 2 - -23 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-3)*m)**(-4\/5))**41\/(((m*m*(m\/(m\/m**0*m))\/m)\/(m\/m**(4\/5)))\/(m**(-8)\/m**(-1\/7))) assuming m is positive.\nAnswer: m**(2028\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 3*s**4 - 714*s**3 - 735*s**2 + 36*s + 9. Let y(g) = -g**3 + g**2 - 4*g - 1. Let p(x) = f(x) + 9*y(x). Factor p(t).\nAnswer: 3*t**2*(t - 242)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - 12*l**2 + 47*l + 24. Let k be h(-15). What is the hundreds digit of (-5997)\/k*(-31 - -33)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -75*x - 322. Let c be a(6). Let l = c - -5406\/7. Let 0*w + 4\/7*w**4 + 0 - l*w**5 - 4\/7*w**2 + 2\/7*w**3 = 0. Calculate w.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3 - -0.1. Let n = -2\/795 + 799\/1590. Let f = 1 - 4. Which is the second smallest value? (a) y (b) f (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of -h**7\/210 - h**6\/40 - h**5\/20 - h**4\/24 + 3*h**2\/2 - h. Let m(y) be the first derivative of l(y). Factor m(f).\nAnswer: -f*(f + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -10*h + 351. What is the remainder when 231 is divided by k(26)?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20132 (base 5) to base 15\nAnswer: 5b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + -1 + (-48)\/(-23). Let o = 722 + -725. Sort o, -1\/7, g in ascending order.\nAnswer: o, -1\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ls when two letters picked without replacement from {q: 1, g: 1, n: 1, l: 1, s: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9009\/308 + (-7)\/28?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 222 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 237 = -3*b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 + -27 + 0 + 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, j: 2, c: 3, d: 8}. What is prob of picking 1 j and 1 l?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 27*t**3 - 6*t**2 + 6*t - 25. Let c(k) = -26*k**3 + 7*k**2 - 7*k + 26. Let s(b) = 6*c(b) + 7*g(b). What is the derivative of s(j) wrt j?\nAnswer: 99*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 56*v - 57*v = -41, 0 = -2*m + 3*v + 21. Solve 3*o + 17 = 5*a, -9*o - 14*a = -m*a + 40 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.03, -5\/7, 2349, 13, 1\/2 in decreasing order.\nAnswer: 2349, 13, 1\/2, -0.03, -5\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in -5, -4, 0, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -34 divided by -9\nAnswer: 34\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + 10 - 160. What are the prime factors of n?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -78 - -70. Is (r\/10 - -1) + 76076\/70 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 58844124 and 51084?\nAnswer: 4644","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g - 4. Let v be l(-4). Let h(q) = q**3 - q**2 + 2*q - 121. Let c(d) = -d. Let n(w) = -c(w) - h(w). Is n(v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**10\/r)\/r)\/(((r*r\/(((r\/(r\/r**(-8\/7))*r)\/r)\/r)*r)\/r)\/r))**(-37) assuming r is positive.\nAnswer: r**(-1258\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/31? (a) 2\/3 (b) -5 (c) -0.461178\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 100 = 7*x. Suppose 5*m - 3*m + x = 0. What is the remainder when 25 is divided by -1 - (-1 - -2)*m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 84162276*f**2 + 1394448*f + 5776.\nAnswer: 4*(4587*f + 38)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1016741767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -5*l - 2*r + 94999976, 37999991 = 2*l - r. Suppose 98*w - 91*w = 0. Let z be (l - w - -3) + 3. Round z to the nearest 1000000.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 512\/(-64) - -35*185 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31*s + 97*s**2 - 330*s**2 - 24 + 131*s**2 + 100*s**2 to w*s**2 + p + a*s and give a.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 + 3 = -2*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*y + 10. Suppose 2*s + 36 = 3*m + y*s, -38 = -2*m + 5*s. Let z = -8 + m. Let n(r) = r**2 - 7*r + 3. Calculate n(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 305 = 3*t - j, -4*t - 3*j + 411 = 0. Let p be (4 - 2)\/(17\/(t\/36)). Solve 4\/9 - 1\/9*c**3 - p*c**2 + 0*c = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 554779689 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 + 2513*u**2 + 194653*u + 1035. Determine p(-80).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2466209?\nAnswer: 503, 4903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**4 - 3*j**4 + 3*j**4)*(j + j - 3*j).\nAnswer: 2*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6 + (-35)\/28 + (-3)\/(-12). Solve -5*x + 4*c = -24, -5*c = x + v - 4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15 - 3327*y**2 - 3274*y**2 - 3279*y**2 + 13149*y**2 - 3321*y**2 to h*y**2 + j + k*y and give j.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 101.318*0.1.\nAnswer: 10.1318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, c: 1, q: 1, l: 2, u: 1, d: 1}. What is prob of picking 1 q, 1 k, and 1 l?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d + 2*c - 19, 0 = -11*d + 15*d - c + 12 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (14 + -22 - -14) + (-22)\/4. Let l(x) be the first derivative of 7 + 0*x**3 + d*x**2 + 4*x + 1\/4*x**4. What is l(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132 is divided by 126?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22 and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2611 - -2613. Let l(p) = -3*p**3 + p**2 - p. Determine l(v).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 9*k + 33. Let v = -11 + 8. Let j(s) = -4*s - 17. Let c(q) = v*u(q) - 7*j(q). List the prime factors of c(-14).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*r + 2356 - 2308. Solve -7*h + 36 = r for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/32)\/(92\/(-184)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*y - 3)*(3 - 2 + 1)*(3*y**4 + 2*y**4 + y**4).\nAnswer: -24*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from irrdddidd.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1357?\nAnswer: 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 823729.8ug in grams?\nAnswer: 0.8237298","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001 (base 2) to base 14.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -5*y - 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 69 - 69.2. What is the biggest value in -4, k, 4, -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -7629, -30508, -68633, -121998, -190597, -274424, -373473, -487738?\n\"Answer: w**3 - 7629*w**2 + w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -188 + 268. Let o be (0 - 1)*n\/(-20). Suppose 0 = -3*h, 0 = 4*f + o*h + 68 - 408. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -110, -66, 60, 310, 726, 1350, 2224?\nAnswer: 3390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -0.095.\nAnswer: 0.0475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + h**2 - 1. Let g(m) = 6*m**3 + m**2 - m - 2. Let w = 2 + -2. Suppose -2 = -w*r + r. Let n(i) = r*t(i) + g(i). What is n(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 3 - 2*g**2 - 23 + 0 - 24*g + g**2. List the prime factors of o(-21).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 0 - (17 + -21).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of -4*c**7\/105 - c**3 - 13*c**2. Differentiate x(a) wrt a.\nAnswer: -32*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48951 a multiple of 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 7:28 AM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3628 and 0.1.\nAnswer: 362.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -5.19. Let q = b - -0.11. What is the nearest to 0.1 in -1\/12, q, -1?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.45541059 * 7\nAnswer: 3.18787413","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g - 1 - 1 - g**3 + 2 as m + o*g + k*g**3 + a*g**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**3 - 266*r**2 + 9230*r - 25350 = 0. Calculate r.\nAnswer: 3, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 36 = -k, -5*h + 4*k - 5193 + 5159 = 0 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + 4*(-1 + sqrt(153)) + sqrt(153) + 1*(1 + (sqrt(153) - (-2 + sqrt(153) - sqrt(153)))))*-6)**2.\nAnswer: -6480*sqrt(17) + 199188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32 + -22. Suppose -70 = -4*k + x. What is the second derivative of 11*b + 27*b**2 - 27*b**2 - k*b**5 wrt b?\nAnswer: -400*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8492*o**4*t**3 + o**3*t**3 - 145*o**3 + 2*o**2*t**3 - 720*o**2*t + o**2 - 21*o*t**3 + 3*o wrt o?\nAnswer: -203808*o*t**3 + 6*t**3 - 870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -622393*k - 622247*k - 6 + 1244635*k + 6.\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 * 114\nAnswer: 4.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -269\/6712, 1, -9 in ascending order.\nAnswer: -9, -269\/6712, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - (3 + 69\/(-3)). What are the prime factors of -1*(-5)\/(5\/d)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 5*x + 12 = 0. Find the second derivative of -x*z - 3*z + 18*z**4 - 13*z**4 wrt z.\nAnswer: 60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {i: 10, y: 1, v: 1, b: 1, g: 2, h: 5}?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 12.1\nAnswer: 4.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*b**2 - 19*b**3 - 5 + 5 + 22*b**3 wrt b.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 240 or 83024?\nAnswer: 240","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 29218692, -2.\nAnswer: -2, 1, 29218692","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 75 = -91. Let i = t - 55. Factor -i*o**2 + 13*o**3 - 4*o - 61*o**3 - o**3.\nAnswer: -o*(7*o + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106700 is divided by 213.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.014447688 to 4 decimal places.\nAnswer: -0.0144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -693257325 by 138651465.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 2 - (4 - 0) - -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 7*h - 2. Let y(q) = 6*q - 2. Suppose -3*j + 4*d = -18, -4*j + 56 = 3*d + 7. Suppose j = 2*w - 4. Suppose w*b = 5*b - 8. Determine b*o(u) + 5*y(u).\nAnswer: 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29140 and 9920.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (3*sqrt(4500) + sqrt(180)\/(3*sqrt(4)))\/((1*sqrt(1323))\/(sqrt(192)\/sqrt(4))).\nAnswer: 3 + 52*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 278 is divided by 92?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/7 (b) -234 (c) -8 (d) -7 (e) -5\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -128 divided by -2\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 976339?\nAnswer: 7, 13, 10729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1681, -6165, -13637, -24097, -37545, -53981?\nAnswer: -73405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*o - 4034413*o**2 - 85*o.\nAnswer: -4034413*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.505553g to nanograms.\nAnswer: 4505553000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1995*n - 349*n - 2947*n - 691*n + 161*n)*(-3 + 3 + 3).\nAnswer: -17463*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum 514 and -142.\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*l**3*z**2 - 37755*l**3 + 13761934*l**2*z**2 - l**2*z - 73*z wrt z?\nAnswer: -6*l**3 + 27523868*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 449 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -999 + 1664. Let b = u + -449. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d\/(d\/(d*d\/d**(3\/4)*d))*d)*d**5*d*d\/(d\/(d\/(d\/d**2)))*d**(-2)*d**(-8)\/(d**(-4)*d)*(d**(2\/7))**(-16) assuming d is positive.\nAnswer: d**(-163\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s**2 - 2*s - 2. Let k be h(2). Suppose l - k*o - 77 = -0*o, 3*o - 12 = 0. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 13*c**2 - c - 1. Let s(t) = t**3 - 8*t**2 - 6*t + 4. Let m be s(9). Let i = -32 + m. Determine g(i).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01542 rounded to 3 decimal places?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17 and 97478?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5.8 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89578 is divided by 975.\nAnswer: 853","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 11:45 PM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of -q**4\/2 - 10*q**3\/3 - 23*q**2\/2 - 89*q + 141. Is z(-25) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-114)\/(-22) - ((-12)\/11)\/(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 3:17 PM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6092\/8*4 + 1*(-10 + 7) is divided by 87?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55524607 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 46 + -25. Suppose 5*a = -t + 1, i + 6 = -4*a. Calculate the greatest common divisor of 80 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*g - 5*b, -b - 2*b = -6. Suppose g*r - 3*r - 452 = 0. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v + 16*v = 100. Suppose 23*y = v*y + 456. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4425 + 4441. Let t(z) be the second derivative of 0 - o*z - 3\/2*z**2 + 1\/2*z**3 - 1\/16*z**4. Factor t(n).\nAnswer: -3*(n - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36, -74, -114, -156, -200?\nAnswer: -246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sdsd when four letters picked without replacement from sddssssssd?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 856653 to the power of 1\/2, to the nearest integer?\nAnswer: 926","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2083, 4160, 6235, 8314, 10403?\nAnswer: 12508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 628?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-732)\/(-122)*(-2)\/(-14).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/8 and -28\/649.\nAnswer: 5192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4dd4 (base 16) to base 5\nAnswer: 1114144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 77351308 a multiple of 131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 307373 and 649.\nAnswer: 18135007","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*l**2 + 3 + 3*l**2 + 6*l**3 + 2*l**4 - l**2 - 3*l - 3*l**2 + 4*l**2 as m + k*l**3 + w*l**4 + r*l + a*l**2 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 215735 and 765?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -19, 1, -4, -1.\nAnswer: -19, -4, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 114, -8, -130, -252?\n\"Answer: -122*c + 236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 8577.27 to the nearest ten.\nAnswer: 8580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 109*c**4 - 11*c**3*d - 2*c*d - 14056*d + 2 wrt c.\nAnswer: 436*c**3 - 33*c**2*d - 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-4)\/(-120)*(-35)\/63*2.\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 152\/(-380) + 745098\/20*(7 - 1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -375183950 divided by -131275?\nAnswer: 2858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 37552368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/67, -5, 1\/4 in increasing order.\nAnswer: -5, -4\/67, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 294519 is divided by 53?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of 5*y**2\/2 - 2. Let l(a) = 16*a. Let q(b) = -2*l(b) + 7*r(b). Let k(f) = f. What is q(k(v))?\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yf when two letters picked without replacement from {y: 11, f: 5}?\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*f - 6*f - 55 = 0. Is 4 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 4*k - 1. Suppose 0 = -2*o - 2*g + 1 + 5, -4*g + 11 = 3*o. Let z(w) = w - 1. Calculate o*m(c) - 2*z(c).\nAnswer: 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 + 3*l**2 - 4*l**2)*(13*l**3 + 9*l**3 - 7*l**3).\nAnswer: 15*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2448) - (sqrt(2448) + sqrt(2448) + 0 + -1 + sqrt(2448))) + sqrt(2448) + 4)**2.\nAnswer: -120*sqrt(17) + 2473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (36 - (23 + 7)) + -8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s - 1. Let a(t) = 4*t - 110. Calculate a(u) - 2*r(u).\nAnswer: 2*u - 108","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -9 and -40.9 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7215 to the power of 1\/2, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -11*n**2 + 26*n + 40. Let m(z) = -17*z**2 + 28*z + 40. Let d(b) = -2*m(b) + 3*r(b). Give d(-21).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*w - 2*w + w)*(-7826 - 7810 + 19205)*(-w + 0*w + 2*w) to the form o*w**2 + i + j*w and give o.\nAnswer: 7138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 146438 and 0.05?\nAnswer: 7321.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 27 = -4*u. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of q**4\/12 - q**3\/6 + q**2 + 13*q. What is f(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 10:45 AM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = 4*i + i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, p: 1, w: 1, z: 1, c: 1}. Give prob of sequence zw.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -111 + 115. Sort i, -4, 2 in ascending order.\nAnswer: -4, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111011100 (base 2) to base 15\nAnswer: 21b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21532 + -21596. What is the biggest value in -2\/7, -3\/2, x?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - 4*z + 0*z + (-3*z + 2*z + 3*z)*(4 - 2 - 3))*(-2*z - z + 2*z)*(-z + 54 - 54).\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -410139 minus 0.5?\nAnswer: -410139.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 960?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 5*j = 15, -2*j - 29 = -5*g + 2*j. Let a = g + -2. Suppose a*l + 0*x + 3*x - 3 = 0, 4*x - 4 = 2*l. Let s(n) = -n - 3. Determine s(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 0*v + 4*v)*(2 + 2*v - 2) + (180 - 28*v + 4 + 26*v)*(v + 1 - 1).\nAnswer: 2*v**2 + 184*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -464 (b) -14 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 624 a factor of 925792789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 30\/45*15\/2. Let a(m) = -3*m - 48. Let p(k) = 2*k + 48. Let j(h) = t*p(h) + 4*a(h). Let l be j(22). Solve 2*u - u - l = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkw when three letters picked without replacement from {w: 1, u: 3, k: 3, v: 4}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -3. Let f be (-2 - -3) + -3 + 4. Solve o*g = -0*g + f for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 575 - 284. Suppose -r + c = -3*c - 31, -5*c - 79 = -3*r. Suppose 4*a + r = l. Is 23 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o = -24*o + 56265. Suppose 0 = -6*x + o + 125. Is 17 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**2 + 0*r + 0*r + (r + 2*r - 5*r)*(-4 + 2 + 1)*(-3*r + r + 4*r).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*m + 432 - 75 = 0 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (405*t**2 + 391*t**2 + 2 + 403*t**2 - 1185*t**2)*(-2*t + 4*t - 3*t)*(-t + 3*t + t).\nAnswer: -42*t**4 - 6*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + -201110222?\nAnswer: -201111002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -62058*g*v**4 + 2*g*v**2*w - 115*g*v - 3*v - 51*w wrt v?\nAnswer: -744696*g*v**2 + 4*g*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 24000 + -304?\nAnswer: 23252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i**2 + 17*i - 17. Suppose 0 = -4*y + 580 - 604. Let p(w) = -w**2 - 6*w + 6. Calculate y*k(m) - 17*p(m).\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 5*l**2 + l + 5. Let x be v(-5). Suppose x = -z + 5*a - 5, -z + 2*a - 30 = -2*z. Suppose z = -g - g. Do -9 and g have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 14 = 67. Suppose -3*d + 5*d = -10. Calculate the remainder when z is divided by 13 + (-6 - d - -6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooxxx. What is prob of sequence oox?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15001\/6 + -2487. Let b = -31 - -16. Let f = -61\/2 + b. What is the common denominator of v and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - 5*x**2 - x + 2. Let b be p(5). Let i be b\/6*(1 - 7). Solve i*s + 6 = 5*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5054 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*l**2*q**3 - 32*l**2*q - 7*l*q + 17*q**3 + 27*q**2 wrt l.\nAnswer: -4*l*q**3 - 64*l*q - 7*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/24248, 3\/4, -19, -4 in descending order.\nAnswer: 3\/4, 5\/24248, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 46 - 46.000039. What is k rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/4, -0.3, 1044?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -29, -56, -85, -116, -149, -184?\n\"Answer: -k**2 - 24*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1122111102 - 11?\nAnswer: -1122111120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1331199.\nAnswer: 3, 211, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.08 - 5. Let o = 3.92 + d. Let w = -0.3 - -0.1. Put w, o, 0 in descending order.\nAnswer: o, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 6:52 PM?\nAnswer: 8:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 11*u = 0. Suppose -4 + u = 2*a. Let r be 3451\/35 - a\/5. Calculate the greatest common divisor of r and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 - 40*l + 81. Suppose -13*w = -273 - 221. Let h be q(w). Solve -h*f = 3*p + 5, 5*p - 5 = 4*f + f for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 63 and 63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -203 + 212. Solve -2*r - 5*l = 14, 5*r + q + 3 = -l for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*g**3*q - 8*g**3 + 42*g**2 + 3*g*q - 153*g + 3168*q wrt q.\nAnswer: -2*g**3 + 3*g + 3168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -z + 615, 4*m = -0*z + 5*z - 3011. What is the hundreds digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14196991 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 10110001100011 (base 2) to base 16\nAnswer: 2c63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**2 + 0*j**2 + j**2)*(0*j - j + 0*j + (-5*j + 4*j + 2*j)*(-2 + 3 + 8) + 1 - 2*j - 1)*(-22*j**2 + 100*j - 100*j).\nAnswer: -264*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -4*c**4 + 328*c**3 - 2444*c**2 + 5672*c - 3552 = 0.\nAnswer: 1, 3, 4, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t + 7. Let w be u(2). Suppose -2*q + 8 - 2 = 5*d, 5*q = -w*d. Sort q, -3, 1 in increasing order.\nAnswer: -3, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20474258131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 84\/(-39) - (-2 + 4 + -4). Which is the closest to -0.1? (a) 44 (b) -4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s**2 - 4*s - 3. Let n be l(4). Suppose c - 1 = -3*m, -2*m + 5*c = -16 - n. Is m\/3 - (-2325)\/9 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 100 and 862065.\nAnswer: 86206500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 82078\/19 at least 4321?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/4)\/(1003\/236). What is the third biggest value in -5\/6, d, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*n**3 - 6*n**3 - 11*n**3)*(-2 - 1 + 1)*(-n + 4*n - n) in the form m*n**4 + l*n**3 + r*n + s + i*n**2 and give m.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o**2 - 8*o - 2. Let i(v) = v**2 - 1. Let p(u) = -3*i(u) - w(u). Let j be p(4). Calculate the highest common divisor of 3 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**2. Let f = 14 + -4. Let q(a) be the first derivative of -a**2 - 3 - f + 7 - a**2. Determine q(s(l)).\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u**2 + 17*u + 3*u**2 - 34*u - 5 + 22*u. Let q(g) = -2*g**2 - 2*g + 2. Let h(r) = -3*n(r) - 8*q(r). Is h(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 734 or 1?\nAnswer: 734","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v + 6. Let f(j) = j**3 + 4*j**2 - 5*j - 4. Let a be f(-5). Let s be x(a). Suppose -3*c + 4*t = -84 + 14, -s*c = -5*t - 49. Does 11 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17261\/4 - 4316. What is the fifth biggest value in 27\/5, -1, -5\/6, t, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 + 113*t + 930. Let a be n(-9). Let u(d) = 15*d + 105. Calculate u(a).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - b)*(-3*b**2 - 3*b**2 + b**2).\nAnswer: 5*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = j - 6*j. Let r be -25 - j\/(2 - -1). Calculate the common denominator of -46\/9 and 284\/r + -1*2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14604 and 874.\nAnswer: 6381948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 599 + 401 = 0. Let l = -123 + p. Let y(h) = h**3 - 7*h**2 + 4*h + 8. Let a be y(6). Sort a, 4, l.\nAnswer: a, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 - 24*f**2 - 1103*f - 2347. Give r(48).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.678 (b) -4.96 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/3)*m**(-2\/15)*m)\/(m**(3\/5)\/((m*m*m**(3\/11)\/m)\/m)))**(1\/53) assuming m is positive.\nAnswer: m**(199\/8745)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.1 - 10.5. Let g = 7 + c. Let u = -2.3805 - g. What is u rounded to 3 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 4 = 0, 2*p - 66 = -317*m + 331*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 minus 0.0043?\nAnswer: -8.0043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.3 - -9.3. Let f = t - 7.9. Which is the closest to 0? (a) -4 (b) -6\/5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*h = -4*u + 246, -2*u + 3 + 29 = 5*h + 5 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -5*k**2 + 3*k + 2. Let h(j) = -6*j**2 + 4*j + 1. What is 4*d(p) - 3*h(p)?\nAnswer: -2*p**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -425922*g + 15 - 8 - 7 + 425927*g.\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.04 in 1\/4, -5.18, -0.3, -3, 1\/10, -0.04?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/84)\/(350\/(-875)*(-15)\/(-306))?\nAnswer: -17\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 69*r**3 - 116*r**2 + 37360*r wrt r?\nAnswer: 414*r - 232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 58 and 841.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 - 37 - 17)*(-7*q**3 - 5*q**2 + 5*q**2) in the form d*q + m*q**3 + f + a*q**2 and give m.\nAnswer: 441","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 7*x + 246. Let z(n) = 15213*n. Calculate f(z(s)).\nAnswer: 106491*s + 246","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of -j**6\/2340 - 3*j**5\/260 + j**4\/3 - 169*j**3\/3 - 91. Let g(b) be the third derivative of m(b). Factor g(v).\nAnswer: -2*(v - 4)*(v + 13)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 104?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24.5 - -25.5. Let j = -0.23 + -0.07. Let n = 1.3 + j. Is n > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 379 is divided by 141?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -10219 + 5*j - 4*j + j + 10223 - 4*j. Suppose o + 29 = -5*d, 0*o + 13 = -3*d - 5*o. Determine c(d).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 531 divided by 260758.\nAnswer: 531\/260758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9 and 53348.\nAnswer: 480132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*v - 4*v - 9*v as u + x*v and give x.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-24 + 24 - 4*o)*((-2 + 4 + 0)*(-3 + 2 + 0) - 16 - 21 + 12) to the form g*o + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 21ab25 (base 13) in base 6?\nAnswer: 25012331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2583178 a multiple of 1361?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together 38959.3395479 and -0.05.\nAnswer: 38959.2895479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum -30.16 and -0.0023.\nAnswer: -30.1623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -2*g + g - 4, 2*g - 1 = -a. Let t(n) be the third derivative of g*n + 1\/3*n**4 - 1\/15*n**5 - 5*n**2 + 0*n**3 + 0. Factor t(y).\nAnswer: -4*y*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10622542949 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(1 + sqrt(612)) - (-5 + (3*sqrt(612))**2))*-4.\nAnswer: -24*sqrt(17) + 22008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2030*d**3*p + 1282*d**3 + d**2*p + 30*d*p - 49*d - 6*p + 9 wrt d.\nAnswer: -12180*p + 7692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwdwwwdwww. What is prob of picking 2 d and 1 w?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g*g\/g**(2\/5)))**15\/(g*g**(-4)*g**(1\/2)))**41 assuming g is positive.\nAnswer: g**(-1763\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 263257770 to the power of 1\/2, to the nearest integer?\nAnswer: 16225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 2*p + m, -4*p + 2*m - 12 = 0. Sort 1, 0, p in ascending order.\nAnswer: p, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*o - 208 + 71*o - 84*o.\nAnswer: -52*o - 208","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-h - 2*h - 2*h)*((3 - 3 - 7)*(11*h - h + 8*h) + h + 0*h + h) to the form j + v*h + f*h**2 and give f.\nAnswer: 620","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11077?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1684975861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/8 of a microgram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2 - 2*i + 15 + 4*i. Let j be l(-7). Suppose 2*x = -k, -j*x + 6*k - k = -26. Which is the closest to 0? (a) x (b) 3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 794719*p**2*s**2 - p**2*s - 335*p**2 + 2*p*s**2 + 24*p + 9*s**2 - 8*s - 14 wrt s.\nAnswer: 1589438*p**2 + 4*p + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77298877.5 + -79.6.\nAnswer: 77298797.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -3*q**2 + 2505*q + 2508 = 0.\nAnswer: -1, 836","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -19 + -151?\nAnswer: -16a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 77817 by 4.\nAnswer: 77817\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 114 + -105. Suppose 0 = 2*c - 3*h + 239, 4*c - n*c - h - 572 = 0. Let k = -103 - c. Calculate the remainder when 34 is divided by k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107 is divided by 490\/28 - (-3)\/(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, a: 12}. Give prob of picking 2 c.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -38 - -9. Let s be g + -4*(-1)\/2. Calculate the remainder when s\/((0 - -1)*-1) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 AM and 5:29 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 + 2*a - 3. Let m be c(-4). Suppose 2*h - 57 = n, 3*n + 163 = -n - m*h. Round n to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/3)\/(1\/84) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-14) + 4683\/49. Suppose 4*z + 4 - q = 0. Is z a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**3 - g**2 + 1574. Let u = 80 + -80. Let l be m(u). Let h = -787 + l. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - 5*v - 1. Calculate w(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (1*sqrt(176)*6)\/(sqrt(216)\/sqrt(6) + sqrt(4)) + 2 + -3.\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-108))\/((-1)\/(2\/(-4)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.9 + 3. Let m = j + 7.9. Let b = -7.009 + m. What is b rounded to 3 dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2536 = -92*y + 148*y + 578*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 650 (base 8) to base 10.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 83 + -65. Let x be 4\/v - (-2040)\/540. Solve 4*o - 3*o = -x, -21 = 5*j + 4*o for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 147527395 - 28.\nAnswer: 147527367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -126*x**3 - 586*x**2 + 6*x + 30. Calculate v(-5).\nAnswer: 1100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -15*j - 62. Let z be f(-4). Let r = 8 + -8.3. Let x = 22 - 18. Which is the closest to z? (a) r (b) x (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -9*a**3 + 15*a**2 - 7*a + 12. Let w be z(2). Let r(d) = -d**3 - 16*d**2 - 28*d + 5. What is r(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44434 (base 5) to base 12\nAnswer: 197b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -8 - 12. Suppose 141 = w*a - 319. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/(-22))\/((-4)\/8*13)\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b + 24. Let x be o(7). Let s be (62\/x - 4) + -2. What is k in 0 + 1\/5*k**2 - s*k = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 8*w + 34 = 0. Suppose -3*r + 0*r - 2*p + 91 = 0, -r + w = 4*p. List the prime factors of r.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 217716*v - 84. Let p be l(-1). What is p rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2652\/(-78)*966\/(-1173)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.516504 rounded to 3 decimal places?\nAnswer: 12.517","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2010)\/1474)\/((-2)\/22)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (sqrt(2) - sqrt(98))*-5)**2 + -1 - (sqrt(10)\/(sqrt(5)*-1) + -2*sqrt(2)*3)**2.\nAnswer: 1583","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 242571041*w**2. Let f(z) = 3*z. Determine v(f(h)).\nAnswer: 2183139369*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1530, 3057, 4580, 6099, 7614, 9125?\nAnswer: 10632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = -2*o - 9 + 199, 3*o + 84 = -5*r - 383 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4554 divided by 69\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03 * 419839.\nAnswer: 12595.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -598778.5 take away 0.3?\nAnswer: -598778.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3264)*-5 + (sqrt(51) - sqrt(255)\/sqrt(5))*2)\/(-6*1*((sqrt(432)*1 + sqrt(432) - sqrt(432) - sqrt(3)) + sqrt(3))).\nAnswer: 5*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -18, 1, -16, 66, 3, -3 in decreasing order.\nAnswer: 66, 3, 1, -3, -6, -16, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -58 + 119 + 0*b**2 - 47 - 2*b**2 - 12*b.\nAnswer: -2*(b - 1)*(b + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 PM and 9:00 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1955776 and 252.\nAnswer: 123213888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -7, 14, 35, 56, 77?\n\"Answer: 21*j - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y + 9. Let f = 18 + -9. Let k(g) = -g - 4. Let q(n) = f*k(n) + 4*i(n). Let t(o) = -23 + 5*o + 23 - 2*o - 4*o. What is q(t(j))?\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 30846 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/33 in 277, 0.06, 2\/15, -0.4, 0.4?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -1566*g**2 + 68*g + 2395. Let p(x) = -1565*x**2 + 85*x + 2396. Let y(l) = 5*d(l) - 4*p(l). What is the first derivative of y(k) wrt k?\nAnswer: -3140*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 8*c**2 + 89*c + 5. Let p(b) = 2*b**2 - 8*b + 1. Give n(s) - 5*p(s).\nAnswer: -2*s**2 + 129*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 r when three letters picked without replacement from {b: 3, r: 15}.\nAnswer: 105\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 525?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 - g - 1. Suppose -8*o + 2 = -6. Let h(j) = j**3 + 3*j**2 + 2*j + 6. What is o*h(a) + 2*k(a)?\nAnswer: a**3 + a**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 10142490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7535364?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**4 - 8*t**3 - 4*t**2.\nAnswer: -4*t**2*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -3 + -4*(0 + sqrt(117) + sqrt(117))**2.\nAnswer: -1880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*g + g - 3*z - 5, 2*z = -2*g - 6 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p + 5*h - 20, 7*p = 2*p - 5*h for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1077.9473368 to the nearest ten.\nAnswer: -1080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4306 + -8597\/2. Factor 14*q**2 + d*q + 1.\nAnswer: (4*q + 1)*(7*q + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 84\/(-18)) + (1 - 3)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.4 and 7533565629154?\nAnswer: 7533565629154.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s + 396 = -48. Suppose 4*k - 49 + s = 0. Solve k*v - 5*j = -0*j - 10, 4*v = -3*j + 6 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128344965.\nAnswer: 3, 5, 7, 41, 4259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -42*q + 74. Calculate the remainder when d(-5) is divided by 95.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + 10*i**2 - 5*i - 4. Let k(o) = -2*o**3 - 19*o**2 + 10*o + 7. Let g(x) = 7*a(x) + 4*k(x). What is the units digit of g(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - (1 - (5 + -3))) + (4 - 2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 + 10*o - 12. Let w be q(8). Find the first derivative of -3 - 3*r**4 + 5*r**w + 7*r**4 + 8 wrt r.\nAnswer: 36*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from babbbbaavbabvb. What is prob of picking 1 b and 3 a?\nAnswer: 32\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 + 3*q**2 - 6*q - 7. Let t(z) = z**3 - 5*z**2 + 12*z + 13. Let j(c) = 3*t(c) + 5*y(c). Factor j(w).\nAnswer: -2*(w - 2)*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 564884797 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186*y + 2106 + 126 = 0 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -119105024 divided by 3722032.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 - (111 - 30) - 9?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2))**(7\/4)\/(m**(-3))**(-3\/29) assuming m is positive.\nAnswer: m**(-221\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00102261 to six dps.\nAnswer: -0.001023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a**5 - 52*a**5 - 6*a**5 - 47*a**5 + (-2*a**4 + 2*a**4 - a**4)*(3*a + 3*a - 5*a).\nAnswer: -103*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2 + (-3*(sqrt(8) - (sqrt(8) - (sqrt(8) - 2*sqrt(8)))))\/(sqrt(12)\/(3*sqrt(3)))).\nAnswer: -9*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b61 (base 16) to base 5\nAnswer: 43123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmmbmmmmmmmmmmmmmm. Give prob of picking 4 m.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -56*o + 58*o, 2*g - 2*o - 4780 = 0. Is 77 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 355909 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -265 and 0.5.\nAnswer: -132.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**(5\/4)*l*l*l**6*l*l**(-3\/10)\/(l**(-2\/13)\/l) assuming l is positive.\nAnswer: l**(3147\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8\/40 - -42349*(-2)\/(-10).\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + 15\/(-5)*2. Let o = 2 + 2. Let w(k) = -5*k - 3 + o - 2 + 3*k. Determine w(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004435075712 to seven decimal places.\nAnswer: -0.0004435","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/47400 and -31\/4740.\nAnswer: 47400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 623885.1 years?\nAnswer: 623.8851","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 454.08673 rounded to 1 decimal place?\nAnswer: 454.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.9955016 rounded to 3 dps?\nAnswer: 4.996","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -1 + o + 1. Let f be t(6). What is the units digit of 52\/f - 8\/12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1482 is divided by 305.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 + 3*q + 2. Let t be o(3). Suppose 3*y - 5*y + 5*n + 26 = 0, 5*y - 3 = -3*n. Let u = y - t. Solve -2*l - 2 = -4*k + 3*k, -l = -5*k + u for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 + 0*y**2 + 3*y**2. Let j(m) = -8*m - 205 - 16*m + 205 + 9*m. Calculate j(d(k)).\nAnswer: -30*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/100 and 51\/34360.\nAnswer: 171800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20076769 + -0.2.\nAnswer: -20076769.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 - 3*k**2 - 3*k - 2. Let z be d(4). Let g = 6 + 2. Solve -i + 4*i - 6 = 5*s, z*s + g = 4*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, u: 6, x: 4, l: 1, k: 1, p: 3}. Give prob of picking 1 b, 2 p, and 1 k.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-3))\/(2\/6). Let u(x) = 4*x**2 + 2*x - 3. What are the prime factors of u(i)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 861759335?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 3164?\nAnswer: 28476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 AM and 1:47 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 721944 a multiple of 192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -67, -240, -775, -1870, -3723?\n\"Answer: -33*o**3 + 17*o**2 + 7*o - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1804697 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/3))**20 assuming j is positive.\nAnswer: j**(-40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o**2. Let q(v) = 3*v + 1219. Calculate i(q(j)).\nAnswer: -18*j**2 - 14628*j - 2971922","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x + 2*c = -10*x + 14, 0 = -c + 1 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23011198 is divided by 423?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 750, 7380, 25808, 61932, 121650?\n\"Answer: 983*m**3 + m**2 - 254*m + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6600105029 to the nearest integer?\nAnswer: 1876","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 8\/9, 3\/4, 30894?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 54\/5 of a micrometer?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(234)\/sqrt(6)*3)\/((2*sqrt(24))\/sqrt(8)) - 2*(-4*sqrt(13)*-2 + 2 + 1)**2.\nAnswer: -1682 - 189*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -3886*g + 201. Is b(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -1\/5 (c) -0.5 (d) 978\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ysys when four letters picked without replacement from asasllyyasrrdyrlslar?\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 17251\/104 - 3\/(-24). Let c = n + -130. What is the greatest common divisor of 45 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, 31\/10, -0.28, -10\/9 in descending order.\nAnswer: 31\/10, 4\/3, -0.28, -10\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-39)\/52)\/(11*37\/(-30932))\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -310 + 328. What is the smallest common multiple of 21 + (0\/(-3))\/(-1) and o?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -409.6968 to one decimal place.\nAnswer: -409.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 - (14 - 19 - 26 - -18) - -79?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -6. Let a be (-33)\/(-2)*26\/39. Solve 3*p + a + 9*p - 7 + y*p**3 + 12*p**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*u + 18*u - 73*u**3 + 143*u**3 + 10*u - 83*u**3.\nAnswer: -13*u**3 - u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - -1. Suppose -w - 4*w = -2*h - 15, -x*w = -4*h. Is 2 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 274631 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppcgccccscgcpggcgg. Give prob of picking 2 g, 1 p, and 1 c.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 AM and 10:28 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-22) + -14*(-18)\/297. Which is smaller: 0.0212 or t?\nAnswer: 0.0212","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g + 5*g = f - 67, 2*f + 46 = 2*g. Calculate the remainder when 377 is divided by g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -36 + 59. Suppose -2*p + 17 = 2*h - 9, 20 = 5*p. Suppose -7*r - 24 = -h*r. Calculate the remainder when n is divided by r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 44802140 and 4?\nAnswer: 44802140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 4*r - 30 + 5, -2*n + 4*r = 50. Let f = 32 + n. What is the highest common divisor of f and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 10 = -5*o, -3*k = 8*o - 9*o + 13 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4140568 + -12?\nAnswer: -4140581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1727384 to the nearest integer?\nAnswer: 1314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.18 + 34.18. Let t = 31 - p. Let m = 0.2 - 0.3. Which is the biggest value? (a) m (b) -3\/7 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -179 + 135. Does 21 divide (-168)\/(3 - o\/(-12))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*6*(-26)\/(-1074). Let q = k + 9683\/3580. Let f = 76261\/5934 - 18\/989. Find the common denominator of q and f.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137903730.\nAnswer: 2, 3, 5, 1721, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 10\/(3 + 7)*10681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -45 in 5, 0.1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r + r**2 + 3*r - 7*r**2 + (-2 - r + 2)*(-2*r - r + 2*r).\nAnswer: -5*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 17*s**2 + 11*s + 6. Let g(r) = 23*r**2 + 1. Let d be g(2). Let p(a) = 3*a + a + d*a**2 - 87*a**2 + 2. What is -3*k(c) + 8*p(c)?\nAnswer: -3*c**2 - c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/312 and 101\/312?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33 - 2. Let w = x + -57. Let h = 150\/7 + w. Calculate the common denominator of -23\/9 and h.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 95 + -95. Suppose -4*u + 4073 - 21828 = -f, v = -3*u + 2*f - 13320. What is u rounded to the nearest one hundred?\nAnswer: -4400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 237241 and 2227.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -22?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6415*i + 19209*i - 1266606 for i.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 29 = -3*v, -11*x + 10*x + 5*v - 10 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + t + 213 = 211, -3*t + 6 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 - 6. Suppose -2*r = 2*y + y - l, -4*r + 33 = 5*y. Suppose 4*h - h + 6 = 0, -s + r*h + 11 = 0. Does 7 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of -m**4\/6 - 41*m**3\/6 - 15*m**2. Let d be g(-12). Let b(u) = u**3 + 3 - 6 - 9*u**2 + 2*u + d*u. Give b(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4071 = -8*k - 4087 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 AM and 3:09 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-30)\/4*(-2242)\/95 is divided by 132?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35838846 is divided by 38?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -3*z**3 - 6*z**2 - 23*z - 14. Does 126 divide o(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from kddkkkdkkkkkkkkkkd.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 82.\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -31843860 * 0.4.\nAnswer: -12737544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w*(w\/(w*w**(-1\/3)))\/w)\/w)\/w**(2\/9))\/(w**(-3\/4)*w**(-4)))**(-13\/5) assuming w is positive.\nAnswer: w**(-1807\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of -2*i**2 + 4\/15*i**6 + 7*i + 7\/6*i**3 + 0 + 0*i**5 + 0*i**4. Differentiate n(s) wrt s.\nAnswer: 96*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/3)\/y**(-3))\/((y**(-5)\/y)\/((y*y*y\/y**(-1\/3)*y)\/y)) assuming y is positive.\nAnswer: y**(35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002556 rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -54.21 - -54. Let h = 0.021 + -0.211. Let m = h + g. Sort 0, -1, m in increasing order.\nAnswer: -1, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 2*a + 19, -2*a - 4 = 11*l - 13*l. Let m be 2 - 0*a\/20. Suppose -m*y = -4*r + 1240, -3*r - 5*y = -3*y - 937. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.34 in 0.5, -0.2, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (638\/11610 + (-542)\/(-36585))\/((-3)\/1).\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2*p = 4, 2*y + y - 6 = 3*p. Suppose 3*k - 20 + 5 = y. Suppose -k*g + 51 - 6 = 0. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in six fifths of a tonne?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, 5, 0.19, -0.76, 0, 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -44 and 12977.1?\nAnswer: -570992.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 + 10. Which is the closest to -2? (a) v (b) -1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 29483 and 3892.3.\nAnswer: 33375.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 252 + -253.83. Let l = 1.83000084 + s. What is l rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 95*q**3 + 1. Let n be j(1). Calculate the greatest common divisor of n and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -527 - -455. Calculate the common denominator of -13\/80 and (11\/(-2) - -7)*(-273)\/h.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -4*h - 4*h + 2 + h + 6*h. Determine a(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of p**7\/42 + p**4\/8 + 2*p**2. What is the second derivative of d(a) wrt a?\nAnswer: 60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6192069 and 11.\nAnswer: 68112759","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (28\/14 - 672\/6)\/(2\/(-8)) is divided by 73?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in -507, 2\/19, 2\/11, -15, 40?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17 by -59.\nAnswer: -17\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of -7*q**6\/120 + 5*q**4\/24 + 5*q**2 + 18. Let w(a) be the second derivative of y(a). Find the second derivative of w(s) wrt s.\nAnswer: -42*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 o, 1 d, and 1 g when four letters picked without replacement from rgbddbdpppdo.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17828506?\nAnswer: 2, 8914253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - 3ba?\nAnswer: -3b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -997.\nAnswer: 99.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 10*x**2 + 20*x - 9. Let t be u(-7). Let j be 1\/t - (-67)\/2. Suppose 26*q + 112 = j*q. Solve -q = -5*n - 6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -3*y + 2*f, -2*y + f + 6 = -4*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8928 and 136746828.\nAnswer: 1093974624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1 (b) 2 (c) -2\/27 (d) -22 (e) -4\/565 (f) -0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4804\/(-8) + 5 + 1\/2. Let t = 598 + o. Calculate the remainder when 35 is divided by t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 24\/63 - (-2)\/(-3). Let r = -128.703 + -0.297. Let o = -129 - r. Which is the closest to h? (a) o (b) 0.1 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 4:08 AM?\nAnswer: 5:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, -4, -14, -28, -46, -68?\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 198 divide 17028?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -10221212122 (base 3) in base 11?\nAnswer: -5359a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 7*d - w + 1 = 0, 5*d = w + 17. Does 51 divide (-163 - d)*(45\/6)\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 - 5*x + 4. Let h(k) = -6*k**2 + 4*k**2 + k + 3*k + k**2 - 3. Determine 4*h(s) + 3*v(s).\nAnswer: -s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 - 12. Suppose v - 4 = c. Suppose y = v*y - 75. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18006 + 49278 = 1303*n for n.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1362?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 62260378129 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10135 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 + 4*y - 6. Suppose -5*t + 11 = k, -12 = -3*k + t + 5. Let r be p(k). Suppose 0 = 5*x - 2*x - r. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.53099 micrograms in tonnes?\nAnswer: 0.00000000001653099","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 596 - 9559\/16. Let n = -22892 + 3113401\/136. What is the common denominator of n and j?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 19 - 6 - 8 + 4880*n - 3)*(3*n**3 - 2*n**3 - 3*n**3).\nAnswer: -9760*n**4 + 2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57004648 is divided by 2297?\nAnswer: 2296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1511371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9950595907703 + 0.3.\nAnswer: 9950595907703.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4 and -2003259265.\nAnswer: -2003259269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gxegexeke. Give prob of picking 2 e.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/6 and 53\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10001110000110 (base 2) in base 4?\nAnswer: 2032012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b. Let n(p) = p**2 - 61*p. Determine n(m(d)).\nAnswer: 4*d**2 - 122*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.99628 years in millennia?\nAnswer: 0.04199628","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1071 + 1083. Put a, 2.8, 1 in decreasing order.\nAnswer: a, 2.8, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6.2 + 6.016. Round c to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -289510*y**3 - y**2 + y - 214951.\nAnswer: -868530*y**2 - 2*y + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12324*i*x - 15729*x wrt i.\nAnswer: -12324*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 PM and 9:53 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 15 + 2*t + 4*t**2 - 7*t**2 - t**2 + t**2 as x*t + h + b*t**2 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 7 - 4*t)*(-25*t + 25*t + 7*t**3).\nAnswer: -28*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - 1 + 1)*(-1 - 1 + 8) - 29*z - 47*z + 0*z + 18*z.\nAnswer: -46*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 11aa8 (base 14) to base 15\nAnswer: cc48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, x: 4, q: 5, p: 6}. What is prob of sequence qx?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -567, -573, -583, -597, -615?\nAnswer: -637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, k: 3, r: 1, p: 1}. Give prob of sequence pcc.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -343 = 6*r + 569. Let i = 173 + r. Calculate the common denominator of 8\/(-12) - (-350)\/48 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22605\/765 - 28) + (-10)\/6 - 16506\/(-714).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 6:10 PM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 1728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - 1. Let y = -2.5 + 2.8. Let r = 2.7 + y. Which is the third biggest value? (a) -4 (b) r (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33202222103 (base 4) to base 5\nAnswer: 2020333011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -980*r + 36239 = -6881 for r.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39614?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 9*h**3 - 8*h**3 + 4*h**3.\nAnswer: -13*h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 2*t + 35 = 3*t, -t = -3*i + 12. Suppose -3*q - i*b = -288 + 31, 4*q - 3*b - 333 = 0. Calculate the greatest common factor of 12 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -86 - -472?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19917724?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 769624 and 1802?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 52*k - 45*k - 196. Let a be k\/(-7) - 4*-3. Suppose a*h = 509 + 891. What are the prime factors of h?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*r + 3*f, f = r + 4*r - 50. Let i(n) be the first derivative of n**3\/3 - 3*n**2\/2 + 3*n - 3. What is the smallest common multiple of r and i(6)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 + 15*a - 35. Let v be u(12). Put v, 4, 5, -2 in decreasing order.\nAnswer: 5, 4, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56, -2527, -6830, -12853, -20596, -30059, -41242?\nAnswer: -54145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - ((-3)\/7*(-2758)\/(-788) - (-19)\/6).\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10372177 is divided by 341.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - a)*(10 - 18 + a - 36)*(a - a - 2*a).\nAnswer: 2*a**3 - 88*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(170)*-2 + sqrt(170) + (sqrt(170) + (sqrt(170) + -2*sqrt(170) - sqrt(170)))*2)\/(sqrt(70)\/(-2*sqrt(7))*-6))**2.\nAnswer: 17\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 176 + -184. What is the nearest to -2\/3 in 7, i, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = -13*s + 3*s. Does 5 divide (2 + -44)\/(9\/s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 102 + -57. Suppose -4*m - s = -7*m. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c + 5*c + 1 - 5*c.\nAnswer: 7*c + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-4)*(-1160)\/20. Solve 2*k - 3*s - 22 = 0, 5*k + 63*s = 64*s + r for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 16*w**2 - 6*w - 56. What are the prime factors of d(-6)?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 (base 3) in base 8?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3511 + -31?\nAnswer: -3542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47, -34, -13, 16, 53, 98, 151?\nAnswer: 212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 30293264 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 2, 176, 4, -3, 1 in ascending order.\nAnswer: -5, -4, -3, 1, 2, 4, 176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 208 and 592.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of 1\/6*d**3 + 0 - 1\/12*d**4 - 1\/2*d**2 - d - 3\/20*d**5. What is t(2)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1892, -3744, -5596?\nAnswer: -7448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 13\/((-273)\/(-28)))*-21.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 + 7*u**2 - 4*u - 10. Let v be j(-7). Calculate the greatest common factor of 6 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(103 - (16 + 112))?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 + -28. Let r(u) be the second derivative of -2*u**3\/3 - 16*u**2 + 26*u + 2. Does 4 divide r(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 232076?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -1. Let l = m + -3. Let i = l - -0.2. Which is the closest to i? (a) -1 (b) -2\/3 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 - 8*d + 2. Let v be ((-10)\/35 - 116\/(-14)) + 1. Is l(v) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3741\/41, 3\/5, -0.5, 4, -5, -3\/4, -10?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yj when two letters picked without replacement from {y: 3, j: 3, h: 1}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -3*x - 2. Let k(i) = 15*i + 2343. Let w(m) = -5*m - 852. Let v(d) = 4*k(d) + 11*w(d). What is v(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + 38*w + 62. What is j(-35)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18390681709 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 559674 by 62186.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 691473336 bigger than 691473336?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 - 7*u**2 - 2*u + 4. Let f be i(-6). Calculate the least common multiple of 8 and (-2)\/3*(-3)\/(-2) - f.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a hour in seconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 67489\/139128 + -1\/4216. Calculate the common denominator of 61\/21 and y.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28226 - 2361 = -1452*f - 77227 for f.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3310 + 1658 - 163*m**4 + 1656 + (-1 + 1 - 2*m**2)*(m**2 + 2*m**2 - 4*m**2).\nAnswer: -161*m**4 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1166, 1167, 1168, 1169?\n\"Answer: q + 1165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2725*j + 81752. Calculate s(30).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1301 (base 5) in base 14?\nAnswer: -105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -230 + -124055?\nAnswer: -124325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -241 - -361 - (67 - 0).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -7 + 1 - -5 - (-2415)\/(-5). What are the prime factors of (12\/10)\/6 + v\/(-55)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 3 = 2, 5*o = -5*l - 5. Let g(z) = -2 - 3 + z + l. Determine g(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k + 1. Let y be w(-2). Let l be (-5)\/((-60)\/(-4))*3 - (-1 + -3). Solve y = -l*x - 12 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of a**3\/3 + 5*a**2\/2 + 7*a + 3. Let n = 5 + -59. Let q = n + 49. Calculate o(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.085 in 0, 1, 3, -12\/17?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2073*o - 12*o + 1110*o - 2 as q*o + b and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 233*i - 257*i = 216 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 302425?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that c**5\/3 + 14*c**4\/3 + 12*c**3 - 194*c**2\/3 - 805*c\/3 - 196 = 0.\nAnswer: -7, -3, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 42.3149 centuries?\nAnswer: 423.149","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30997\/70 or -442?\nAnswer: -30997\/70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.032267874 rounded to three decimal places?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 9 = -3*m, 5*m - 15 = 2*i + i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1094 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13387 by 4.\nAnswer: -13387\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -351, -290, -121, 210, 757, 1574?\n\"Answer: 9*u**3 - 2*u - 358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*q**3 - 16*q**3 + 4*q**3)*(-14*q**2 - 94*q**2 + 43*q**2) + q**5 - 2*q**5 - q**5.\nAnswer: 1233*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 + -16. Suppose -5*l + 2526 = -w*l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 120325 (b) -74 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 796*s**2 + 989*s - 7739197 wrt s.\nAnswer: 1592*s + 989","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1394743 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 + (-24)\/(-9))*(-30)\/(-20). Solve -v + t = -4 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vd when two letters picked without replacement from tqvdvqdvvvdttqv?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.563401671 rounded to three decimal places?\nAnswer: 19.563","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 7*d**2 + 4*d + 13. Is s(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 9:15 PM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - 5*q**2 + 8*q - 7. Is z(5) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 9, c: 6, j: 4}. Give prob of picking 3 v.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 226 in -0.1, -2, -0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2136 + 2179 + -14 + (-2 - -2)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (0 + sqrt(396))**2 + -1 + -2*sqrt(11) + sqrt(1584) + 0)*-4.\nAnswer: -1572 - 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1 - ((-3 - 5) + 6)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -253425163\/588192 + 107\/17824. Let w = c + 1283\/3. What is the common denominator of w and (-1)\/(((-16)\/12)\/(632\/12))?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put 3, -11, -6, 87, -3, -25 in descending order.\nAnswer: 87, 3, -3, -6, -11, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -41 - -37. Let j = -2 - 18. Let k = j - -19. Put 5, a, k in ascending order.\nAnswer: a, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 27 = 10*n. Suppose 0 = n*l + l - 432. Suppose -7*r = -11*r + l. Calculate the highest common divisor of 81 and r.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -329*q**3 + 30*q**2 + 74*q + 37. Calculate n(-2).\nAnswer: 2641","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 18, 0 in increasing order.\nAnswer: 0, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*l - 5*l - 3. Let f be (-231)\/(-7) - (l + 0)*-3. What is the greatest common divisor of f and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 19238505 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 146944 and 19936?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/90*(4\/(-12))\/((-5)\/(-15))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -3091.4 to the nearest 100.\nAnswer: -3100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -37.6 - -39.6. Let l = 31 - 35.3. Let v = 4 + l. What is the second biggest value in v, a, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3 + 39*l**2 - 12*l - 156.\nAnswer: 3*(l - 2)*(l + 2)*(l + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 + 21 = 10*u. Sort 2, -10, u, -3 in descending order.\nAnswer: 2, u, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g - 3. Let m be n(-4). Let v = 90 + -122. Let k be (-84)\/22 - v\/(-176). Put -2, m, k, -5 in ascending order.\nAnswer: -5, k, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000257 rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yb when two letters picked without replacement from bfbyyi?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21a2 (base 11) to base 5.\nAnswer: -43040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 20 = -0. Suppose 1 = -3*j + 25. What is the smallest common multiple of 15\/4 - (-5)\/x and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -187405, -187406, -187407, -187408?\nAnswer: -187409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 2 = -l - 28, -4*u + 2*l = -38. Solve n - 3*w - u = 0, w = 3*n - 2*w + 3 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 4495.9, 0.4, 0?\nAnswer: 4495.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 277*h**2 + 321 - 119 - 202.\nAnswer: 277*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22.29 + 23.35. Which is the second biggest value? (a) 2\/5 (b) -3\/5 (c) -0.5 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*p + 97*p**4 + 10*p**2 - 1 - 48*p**4 - 7*p - 47*p**4 to c + s*p**2 + m*p**4 + o*p**3 + q*p and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9869 and 923?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25313 is divided by 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 + 45. Suppose -l = i + 91. List the prime factors of 2\/(-6) + i\/(-3).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -30, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100011 + 11000011?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 180 - 206.8. Let a = i - -27. Which is greater: a or -2\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -15, 1, -55, -1, 3, -107 in increasing order.\nAnswer: -107, -55, -15, -1, 1, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1676400 rounded to the nearest ten thousand?\nAnswer: -1680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 5, 4\/13, 0.031, 37\/9, 0.14?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 151911319 and 441.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1541700 divided by 60\nAnswer: 25695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3752890 and 25882.\nAnswer: 3752890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, f: 1, i: 2, z: 1, m: 1}. Give prob of sequence mz.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 36, 0.368, 5, -0.02, 0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-2) + 5 + 6. Let n be (-3)\/l - 6\/40. Which is the smallest value? (a) -0.5 (b) 4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 - k**2 + 3*k + 2. Let n = -209 + 207. Calculate c(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1308*a + 1309*a = 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122473 is divided by 39877.\nAnswer: 2842","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 PM and 5:18 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2141 divided by -25678?\nAnswer: -2141\/25678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 724639567?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 3*a = 2. Let h be 128\/7 - a\/(-7). Let k be 94\/h + 10\/(-45). Solve p = k*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 - 2*x + 1. Let c be t(1). Let g be (0 + c)*(-1)\/(-2). Solve 0 = -3*l + u + 4*u - 23, -2*l + 2*u - 10 = g for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -10635, -10639, -10643?\n\"Answer: -4*o - 10631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3849219517 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 11:38 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(126)\/sqrt(2) - sqrt(84)\/sqrt(48) - (sqrt(49)\/(3*sqrt(112)))**2.\nAnswer: -7\/144 + 5*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gr when two letters picked without replacement from iiirgirm.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-16)\/40*7*10. Let y be (1726\/g)\/((-315)\/14). Let x = 188\/35 + y. Calculate the common denominator of 34\/9 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {l: 2, n: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -9*t**2 - 553*t + 2210. Give n(4).\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -623128 = -2*a + 5*k - 155976, 0 = 5*a + 5*k - 1167985. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - x = -9*r + 4*r, 0 = 2*x + 5*r - 28 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 54 (base 13) to base 6\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4427, -6293, -9391, -13721, -19283, -26077?\nAnswer: -34103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*g + 11 - 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6934649647 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of -g**2\/2 - g + 1. Suppose -3*t + 3*q + 21 = 0, 65*q - 60*q = -4*t - 35. Calculate v(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 3*b - 4*b + 3, 1 = b. Suppose 3*x - z*u - u = 0, -3*u = 5*x - 32. Let v be (-3 + 0)\/((-6)\/8). Solve -5*r + 27 = 4*k, -2*k - v = -x*r + 2 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of b**6\/480 - b**5\/60 - 11*b**4\/96 - b**3\/4 - 1739*b**2. Factor p(x).\nAnswer: (x - 6)*(x + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 890300\/(-1050) - (-2)\/6*-2. Let f = v - -107627\/126. Let l = 5009\/21 - 240. What is the common denominator of f and l?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49143b (base 13) to base 4\nAnswer: 12222003320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 900\/(-4860)*12\/5.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 12:41 AM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of -83*j**7\/105 + j**6\/120 + j**5\/6 + 5*j**4\/12 + 26*j**2 + 10*j. What is the third derivative of v(c) wrt c?\nAnswer: -3984*c + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from rrvmgvmrrvrh.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -55*r**3 - 3*r**2 - 4*r - 2. Let j be f(-1). Let y = -62 + j. Let p = y - -4. Sort -3, 5, -5, p in ascending order.\nAnswer: -5, p, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-1 + 3)*70\/14. Solve -2*x - 2 = 0, -4 = c*z - 7*x + 6*x for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41, 189, 557, 1253, 2385, 4061, 6389, 9477?\nAnswer: 13433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4163720 is divided by 520465.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mqvhmcqmqmmmhmhmmmh. Give prob of picking 2 m and 1 c.\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5453 (base 11) in base 9?\nAnswer: 10776","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -123*b. Let k(j) = -1561*j**2. Determine k(t(f)).\nAnswer: -23616369*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - -0.5. Let d = w + -4. Let g = -2 - -2. Which is the nearest to g? (a) -2 (b) d (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**3\/5 + 7*a**2\/5 + 4*a\/5 - 28\/5 = 0. Calculate a.\nAnswer: -2, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of -q**8\/16 - 17*q**7\/140 + 27*q**6\/80 + q**5\/5 - q**4\/4 - 2*q**2. Suppose j(i) = 0. Calculate i.\nAnswer: -2, -1\/2, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 23 = -253. Let d be 7\/(-14) + (-126)\/4. Let c = d - o. Does 11 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 - 15*i + 12. Let a be f(13). Let u = a - -18. Solve -2*n = 10 - u for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 5:53 PM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 54 and 60.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -6*t + t. Suppose -11 = -t*j + 9. Is 21\/2 equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 770154 and 360817149?\nAnswer: 721634298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1875 by -1.\nAnswer: -1875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1532404 - 13?\nAnswer: -1532421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - -1010011?\nAnswer: 1011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 509.7 to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -4*y - 24, -5 = -4*d - 4*y + 11. Let z(r) = 2 - 15 - 5 + d + 5. Let p(i) be the first derivative of i**2\/2 - i - 3. Calculate 2*p(l) - z(l).\nAnswer: 2*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h**2 + 220*h - 41. Is l(40) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 123468745 and 1805.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3920 + -3916. Solve 0 = -3*k - 69*r + 65*r + 14, -4*r + 28 = -v*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/4 (b) -2\/7 (c) -1.97\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004571 to five dps.\nAnswer: -0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9884.2 - 9883. Is 4.2 greater than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(1620) - 3*sqrt(1620))\/sqrt(9) + ((1*sqrt(240))\/sqrt(12))\/(sqrt(1440)\/sqrt(10)).\nAnswer: -143*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3553374.\nAnswer: 2, 3, 11, 17, 3167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -2*b**3\/9 + 7988*b**2\/9 - 119422*b\/9 + 206908\/9 = 0.\nAnswer: 2, 13, 3979","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 53 - 15 - 21 - 50*r**2 + 117*r - 17 wrt r?\nAnswer: -100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 5, -4\/9, 3216, -1?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26 - 12) + 11 - (-78 - -74)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65, -130, -247, -422, -661?\nAnswer: -970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as 12554\/126965?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 AM and 10:05 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -16*b - 3. Let s(f) be the second derivative of -49*f**3\/6 - 4*f**2 + 3*f. Let q(p) = -17*c(p) + 6*s(p). Is q(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**(5\/3))\/r)\/r*r**19)\/(r*(r*r*r**6)\/r*r)**(-18) assuming r is positive.\nAnswer: r**(545\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {x: 2, k: 8, n: 8}.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - 5) + 2 - 1057. What is the common denominator of (-505)\/10 + 2 - -3 and m\/(-28) + 2\/(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1213*s - 1218*s - 4*x = 0, -3*s = x. Let j be -1 - (19\/25)\/(-1). Which is smaller: j or s?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = -3*l + 4, 3*o - 5*l = -1 - 4 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-415)\/332)\/(29\/2784).\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 - 64*q + 602. Suppose 0 = w + 3*w - 192. Suppose 0*a = 3*a - w. Calculate the remainder when l(10) is divided by a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - -1 - (-4)\/(-10). Let q = -41 + 44. Let c be (q + -1)\/(-1 - 5\/(-15)). What is the nearest to 1 in n, c, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -5*o**3 + 3*o + 8. Let y be c(-6). What is y rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 542*i**3 + 2*i**2 + 33*i - 34. Determine c(1).\nAnswer: 543","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/((-16)\/(-80) - 6\/5). Suppose -4*v - 4 = -16. Suppose -2*d - 2*d - 2*w + 32 = 0, -4*d + 52 = -v*w. What is the greatest common factor of d and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 2)*(-7*d**3 + d**3 - d**3) - 1 + d**3 + 0*d + 0*d.\nAnswer: 8*d**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2901, 2851, 2775, 2661, 2497?\nAnswer: 2271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7794?\nAnswer: 2, 3, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + 4 + 5 + 1. Suppose 3*f - w*f + 12 = 0. Let o be ((5 - f)\/(1 + 0))\/1. Solve -o*p = 2*p - 25 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -7, 9, 21, 23, 9, -27, -91?\nAnswer: -189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1568 or -1707?\nAnswer: -1707","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 5*q = 8. What is the highest common factor of 12 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -43 - -40.3. Round b to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11179?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46166854?\nAnswer: 2, 23083427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 156 = 40. Let z be 38\/(-57) - u\/(-3). Calculate the greatest common factor of 80 and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62945 = -96*i + 126*i + 17735. Calculate the highest common factor of i and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 204656 divided by -6.\nAnswer: -102328\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 209\/6 - 8999\/258. Let f = -5 + 9. Sort f, x, -0.3.\nAnswer: -0.3, x, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of w**7\/840 - 3*w**5\/40 + 11*w**4\/6 - 6*w. Let i(v) be the third derivative of j(v). What is the derivative of i(b) wrt b?\nAnswer: 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 - -29. Calculate the greatest common divisor of 18 and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2647235\/1169 - 786\/1169. Let n = -2260 + m. Find the common denominator of n and 4 - 5 - (-48)\/(-14).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20474039 is divided by 6824664.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 + -10. Calculate the remainder when 9 is divided by m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 + 7*y**2 - 2*y - 6. Let u = -537 - -530. What is z(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4 (b) -5\/8 (c) 0.3 (d) 3.42 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/161864 and 91\/4.\nAnswer: 161864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 158037515 and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.871 - 446.871. Let v = t + 444.004. What is v rounded to one dp?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1694 - 93?\nAnswer: 1601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -5595, -5577, -5575, -5595, -5643, -5725, -5847?\n\"Answer: -k**3 - 2*k**2 + 31*k - 5623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -1, 828, 25, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of 2*q**2 - 2*q + 1. Suppose 90 = 7*f - 8. Suppose -3*k = 4*k + f. Determine g(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56747, -113353, -169957, -226559, -283159, -339757, -396353?\nAnswer: -452947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**4\/4 - 4675*q**3\/2 + 56580*q**2 - 453920*q + 1212160.\nAnswer: -5*(q - 8)**3*(q + 1894)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -464 >= -462?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7753383 is divided by 34307?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216) - 4*1*sqrt(216))\/(sqrt(128) - (sqrt(128) + sqrt(128) + -3*(sqrt(128)*3 + sqrt(128)) + sqrt(128))).\nAnswer: -9*sqrt(3)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 0 - 23*o**2 + 4 + 22*o**2 - 5*o. Let s(w) = 3*w**2 + 11*w - 9. Calculate -2*s(i) - 5*u(i).\nAnswer: -i**2 + 3*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/r**(1\/4))**(-5))**(-30))**8 assuming r is positive.\nAnswer: r**900","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0031 - -120.0031. Let z = 120.3 - t. Sort -17, 2, z in ascending order.\nAnswer: -17, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20493091 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - 2*j + 2*j)*(2 + 2 + 1).\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 + 6*q**2 + 2*q - 9. Calculate k(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 0*h - 12. Let c(j) be the second derivative of 2*j**3\/3 - j**2\/2 - 22*j. Let r be c(h). What is the greatest common factor of r and 165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5172*z**3 - 4*z**2 + 18*z + 11 wrt z.\nAnswer: -31032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9576\/3677 or 2?\nAnswer: 9576\/3677","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4048 divided by -11?\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 4*i - 21, 3 = 4*u - 1. Let f(x) = x**3 - 9*x**2 - x + 10. Let q(t) = -2*t**3 + 17*t**2 + t - 19. Let o(w) = -7*f(w) - 4*q(w). Is o(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(6*(sqrt(144) + -1*(-1*sqrt(144) + sqrt(144))))\/(6*1*(sqrt(60)\/sqrt(5) + sqrt(12))).\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 49445 and 1033.523.\nAnswer: 50478.523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*((2 + 4 - 4)*(2129 + 16*i - 2129) + 0*i + 3*i - i).\nAnswer: -68*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - y - 0*y + 2, x + 2 = y. Let v = 3 - x. What is the second derivative of -w**3 + 2*w + w**v + w**5 wrt w?\nAnswer: 20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-3\/4)*(j\/(j\/(j**(-2\/23)\/j)))\/j)**(-3\/2) assuming j is positive.\nAnswer: j**(93\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3992*b + 77371 - 241039 = 7550*b for b.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1080 or -73388?\nAnswer: -73388","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z - 4*i + 24 = -4*z, z + 4*i = 9 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 + 18.3. Let m = -0.8 + l. Which is the second smallest value? (a) m (b) 2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1742101.\nAnswer: 1742101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - (0 - -12))*-1. Suppose -43 = -3*d - 1. Suppose d = z - 70. Calculate the greatest common divisor of w and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 0*a + 18. Let l(r) = -4*r**2 - 4*r**3 + 6*r**3 + 5*r + 3 - 19*r + 2*r**2. Does 53 divide l(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14.61 + -14\nAnswer: -28.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 + 129 = w + 3*k, 3*w - 399 = 4*k. Let i = w + -682\/5. Which is the nearest to -0.8? (a) i (b) -1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-2)*4162394\/190644.\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 AM and 8:14 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 + 13. Suppose -5*b + 33 = 13. Sort o, b, 1.\nAnswer: o, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002195352 to 6 dps.\nAnswer: -0.002195","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-62*m**3 - 4*m**3 - 26*m**3)*(1 - 1 + 2)*(0 - 4 + 2).\nAnswer: 368*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.31 - -0.31. What is the second biggest value in 3, w, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1888, -3668, -5448, -7228?\nAnswer: -9008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 186751 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 6153529?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1*12406\nAnswer: 12406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2144 - -4211. What are the prime factors of g?\nAnswer: 3, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -279 and -248 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 0 + 3, 2*k + 2*x - 6 = 0. Let l = k - -1. Let d = 152 - 757\/5. Which is the closest to -0.1? (a) 0.5 (b) d (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hjjhh. Give prob of picking 1 h and 1 j.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zbgq when four letters picked without replacement from {b: 5, q: 2, g: 1, k: 2, z: 4}?\nAnswer: 5\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.07 (b) -1.9 (c) 0 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 3*k + d, -1158*k - 13*d = -1163*k - 155 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1116, 1111, 1106, 1101?\n\"Answer: -5*l + 1121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - y + 61 = 0, 0 = 2*m + 3*y - 3 - 30. What is the remainder when 101 is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12003 (base 4) to base 8.\nAnswer: -603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 4*j + 6. What is the tens digit of p(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 525*y - 34. Let z(q) = -1050*q + 73. What is -13*m(p) - 6*z(p)?\nAnswer: -525*p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of 3*s**8\/56 - 7*s**7\/6 - s**5\/10 - s**4\/3 - 190*s**2 + 2844*s. Find the third derivative of p(v) wrt v.\nAnswer: 360*v**3 - 2940*v**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23619 is divided by 11805.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - -40747.\nAnswer: 40762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 446780 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 - (-1414)\/3 - 9\/27 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 2220?\nAnswer: -2212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -3*k**3 - k**2 - 14*k - 12. Let s be p(-1). Let u be (s\/3)\/(-2 + 82\/39). Solve -35 = 6*i - u*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (4 - 0 - -2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 l when two letters picked without replacement from {x: 1, e: 2, l: 4, w: 7, f: 3}.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1184656023?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + 4a30?\nAnswer: 4a2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1376 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -1*(-4 + sqrt(7))*-3 + 4 + 3 + -1*sqrt(343) + 2)**2.\nAnswer: 48*sqrt(7) + 148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11586\/35 - 331. Which is bigger: o or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -653428*-41\nAnswer: 26790548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119*s - 114*s - 21955 = 0. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-173*h**3 + 86*h**3 + 2 + 85*h**3)*(3*h**2 + 4 - 4).\nAnswer: -6*h**5 + 6*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2 + 2 + sqrt(18) + 0)*-1)**2.\nAnswer: 648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1041?\nAnswer: 3, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 20*k - 1687. Give r(83).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 7*o + 171. Let x(c) = -2*c + 4. Calculate -u(a) - 5*x(a).\nAnswer: 3*a - 191","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -86615256 divided by 12373608.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i + 20 = 12*i - 2*p, -8 = 2*i + 5*p. Solve -i*b + 16 = -10*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9066 - 34241 = -1059*j - 6126 + 42244 for j.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 72, -15, -15.9, 2, -1 in decreasing order.\nAnswer: 72, 4, 2, -1, -15, -15.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*q**2 - 1398 + 5*q**2 + 1383)*(2*q + 2 - 2) to o + h*q + i*q**2 + y*q**3 and give y.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1589445669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n + 5. Let p be o(4). Let w(l) = -l**2 - p + 17*l - 21*l + l**3 - l**2. Is w(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -324 divided by -12.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-2*sqrt(3200))\/(4*(sqrt(640)*2 - sqrt(640))).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3004*d**3*l**2 - 4696*d**3 + 4*d**2 + 7*l**2 - 8*l wrt l.\nAnswer: -6008*d**3 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -144 - -148. Let i be ((-1)\/(m\/(-6)))\/((-4)\/(-8)). Solve i*c + 13 = 6*c + 5*b, -2*b = 5*c - 9 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5779720019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 968434.\nAnswer: 2, 439, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 - 6*c + 5. Let t be l(-7). Let z be ((-14)\/147)\/((-1)\/6). What is the second biggest value in t, z, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**3 - 5*i**2 + 3*i - 5. Let s(j) = -3*j**3 + 9*j**2 - 5*j + 9. Give -3*s(b) - 5*y(b).\nAnswer: -b**3 - 2*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 914.80907\nAnswer: 365.923628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 548282 is divided by 27?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, -5, 1, -4, -35 in decreasing order.\nAnswer: 1, 0, -3, -4, -5, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 520*i**2 + 520*i. Let t(n) = n**3 - 2*n**2 - 2*n. Determine -3*c(m) - 780*t(m).\nAnswer: -780*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2\/7)\/u*u\/u**(3\/2))\/(u**3\/u*u\/u**(-4\/7)))\/(u*u**2*u*u\/(u\/((u\/(u**(1\/10)\/u))\/u))*u)**6 assuming u is positive.\nAnswer: u**(-2853\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40 and 3520.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1\/122595 + 254384633\/980760. Let m = l - 259. What is the common denominator of m and (-8 + 3 - 2)*13\/18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1629558 divided by 38799.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.7, -3\/5, 0.3, -15?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*(0 + 0 + d)*(3 + 15 + 15).\nAnswer: 33*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 142 and 43602023?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 + 2)*(-2)\/(-4). What is the first derivative of -s**2 + s**2 + 2*s**2 - n + 2 wrt s?\nAnswer: 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 450260 divided by 90052.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 12 = -0*n. What is the smallest common multiple of (-14)\/(-4) + (-2)\/n and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 0 + sqrt(50)\/(sqrt(110)\/(sqrt(11)*-3)))**2.\nAnswer: 24*sqrt(5) + 61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 478\/24 + (-2)\/(-6) and (13\/3)\/((-22)\/99).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 0. Let f be 3\/(-2)*(-520)\/36. Let p = -22 + f. Is q bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*d**3*m**2 - 3*d**3 + d**2*m**2 + 5*d**2*m + 16*d wrt m?\nAnswer: -20*d**3 + 2*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -81715, -82149, -82581, -83011?\nAnswer: -83439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -8*a**3 - a**2 - a - 2. Let o be g(-2). Let i be ((-1)\/(-2))\/((-15)\/o). What is the biggest value in -5, -1\/9, i?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -9*a**3 + 17*a - 8. Suppose -69 - 135 = 4*g. Let p(x) = -x**3 + 2*x - 1. Let l(z) = g*p(z) + 6*w(z). Differentiate l(i) wrt i.\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -w - 7, x + 31 = 33 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*y - 165 = -30 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8167189 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 27011568.1 rounded to the nearest one hundred thousand?\nAnswer: 27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.4 and -0.08.\nAnswer: -0.272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/(40\/10*-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6029 or -5981?\nAnswer: -6029","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 4 + (35 - 26)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.77, 10\/7, -136, 5?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of y**3\/3 - 4*y. Let p(d) = 2*d. Determine p(w(i)).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k + 15589 + 2*k**2 + 0*k.\nAnswer: 2*k**2 + 15589","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s**2 - 4*s - 3. Let k be a(3). Factor -1\/4*n**k - 1\/2 + 1\/2*n**2 + 1\/4*n.\nAnswer: -(n - 2)*(n - 1)*(n + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -1 + 10 - -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 194539217 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 4*k**2 - 22*k + 69. Let j(h) = -2*h**2 + 14*h - 46. Determine -5*i(u) - 8*j(u).\nAnswer: -4*u**2 - 2*u + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2649 and 0.4?\nAnswer: 2648.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 9*i**2 - 17*i - 20. Let u(m) = 3*m**2 - 6*m - 7. What is 4*c(o) - 11*u(o)?\nAnswer: 3*o**2 - 2*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 4*p - 16 = 0, 9 = 4*p - 7 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 + 30 = -6*c. Solve 5*q = c + 19 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/o**0))\/(o\/o**4))\/(o**(1\/2)*o**(-2\/9)) assuming o is positive.\nAnswer: o**(49\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**22*(s*s*s**15)\/s)\/((s\/(s*s\/s**(-1\/9)))\/(s\/(s\/s**(-3\/20)))) assuming s is positive.\nAnswer: s**(-727\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 100170347687 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36887.8*11.\nAnswer: 405765.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 568 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 17861997977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 285266 * 5.\nAnswer: 1426330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 230 = -r. Let a be (12\/7)\/(2\/7). Suppose 0 = 11*g - a*g - 60. Calculate the remainder when r is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4057 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u**4\/7 + 164*u**3\/7 - 201*u**2 + 992*u\/7 + 256\/7 = 0. What is u?\nAnswer: -1\/5, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 AM and 8:01 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -15 + (72 - 57).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 886909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 39 + -45. What is the remainder when (-2208)\/80*(c + 1) is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8143*j - 8019*j = -2728 for j.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = -5*p + 3*z - 9, 4*p + 4 = 4*z for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 + 210*-4)\/(-1). Suppose 3*t - 102 = x. Let o = t + -5987\/19. Is 1 bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-219)\/292)\/(2\/24 + 0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 44 + -3 + -4 - 2. Suppose 7*d = p + 28. What is the second biggest value in -3, d, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (-68 - (29 - 68)) - 0.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 14*t**2 - 11*t + 11. Suppose 4*b - 2*b = 22. Let o be q(b). What is the tens digit of (-2)\/(-10) + o\/30?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f and 1 i when four letters picked without replacement from izwffilzlozwfolzwili.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11120 - -3331122?\nAnswer: 3320002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 24911003993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*z - 9 = 153*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*p + 1189 = 251*p - 2779 for p.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 355 = -128. Let s = w - -856. What are the prime factors of s?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 140, 276, 424, 590, 780?\n\"Answer: i**3 + 129*i + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 5*a - 3*a, 4*a = -d - 20. Is (-1198)\/4*(a - -4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 6 + 16 = -2*f, -5*f - 19 = -4*t for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -56\/2355 and 23\/12.\nAnswer: 9420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-10 - -8)*18\/(-4) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b + 2 - 5 - 1 + 4.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1\/4 - (-525)\/28?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {e: 4, i: 2, r: 3, h: 2}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1682, 2227, 2772, 3317, 3862, 4407?\n\"Answer: 545*a + 1137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 - 9054156.87102?\nAnswer: -9054157.07102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 92\/66*-9 + (4 - -2). Let b = -111\/22 - c. Factor -b*f**2 - 15\/2*f + 0.\nAnswer: -3*f*(f + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3 - 9839*f**2 + 24265307*f - 313788397.\nAnswer: (f - 4913)**2*(f - 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c + 6. Let p(s) = s - 28. Let h be p(-16). Let z = h + 43. Let g be (-7)\/((-35)\/25) - 10. Let j(d) = -1. What is g*j(r) + z*o(r)?\nAnswer: -r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, 11, 41, 91, 167, 275?\nAnswer: 421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(363) - (sqrt(363) + sqrt(363)*-2))*-5 - (4 + 1 + sqrt(3) + 2))*-4)**2.\nAnswer: 24864*sqrt(3) + 592192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 13 = 34. Suppose -c + 1 = -0*c. Let j be 4 - 105\/12 - -5. What is the third biggest value in j, c, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000251813 to 6 decimal places.\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 345 = 5*b - 2*w, 5*b = -4*w + 350. Suppose -b = 8*m - 2. Is -6 at most m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l = 13*l - 1080. Calculate the lowest common multiple of 45 and l.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.15 and 0.2?\nAnswer: 0.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(6048) + sqrt(6048) + sqrt(6048)*1)\/sqrt(6) - (-1 + sqrt(7) + 2 + sqrt(7)*-1))*6 + 0).\nAnswer: -18 + 648*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -145 - -1?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 288701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.21338ms in seconds?\nAnswer: 0.06621338","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1436 + -112.8564. What is the fourth smallest value in 3\/2, -2\/3, -3, -1\/8, f?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/4)*c**(-5))**(-1\/34) assuming c is positive.\nAnswer: c**(19\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/4855 + 199103\/116520. Find the common denominator of 11\/30 and i.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11101010110010010011 (base 2) to base 10.\nAnswer: 961683","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 121394 and 25844.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6462*s**2*v**2 + s**2*v + 7*s**2 + 25*s*v**2 - 8*s*v - 30*v**2 + 20*v + 162 wrt v.\nAnswer: -12924*s**2 + 50*s - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**41*j*j**(-2\/13)*j*j*j**(3\/13)\/j*j\/(j*j**(1\/32))*j assuming j is positive.\nAnswer: j**(18323\/416)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4049024 is divided by 13962?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = x + 3*i + 14, -i = 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -4*x**2 - 15*x - 34. Determine w(-7).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-30))**(-50)*(i**(-22))**18 assuming i is positive.\nAnswer: i**(-1946)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -4941.3 <= 2\/28365?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 31 = 4*u - 1, -5*z - 3*u = 40 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*12\/((-12)\/4). Let k(s) = 5*s**2 - 10*s - 2. Let x(j) = -j**2 + j + 1. Let f(o) = w*x(o) + k(o). Calculate f(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -24*y - 165. Let n be h(-7). Suppose -7*l = n*l - 6100. Is l a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**4\/3 - 376*g**3\/3 + 8338*g**2 - 229416*g + 2204136 = 0 for g.\nAnswer: 23, 33, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 248 is divided by 50?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1544 = -4*g - 600. Suppose -g - 478 = -7*y. Does 17 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3629*r**3 - 201*r**2 - 514*r**2 + 291*r**2 - 519*r**2 + 4536*r**3 wrt r.\nAnswer: 5442","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5868 + -5868. Factor 5\/4*g**3 + 5\/4*g**2 + p + 0*g.\nAnswer: 5*g**2*(g + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*n = 10, 5*t - 2*n + 2 = 3*t. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12593490 and 630.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1371609545?\nAnswer: 5, 197, 1392497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.073 + -2.827. Let j = -3 - y. Let p = j + -0.9. Are 3 and p non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*v + 24 = 27*v + 31*v for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2\/1289, 0.1.\nAnswer: -2\/1289, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-4) - (-7 + 1335\/180). What is the closest to 0.4 in -1, 18, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4586 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 672991259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.373 * -0.2114.\nAnswer: 1.1358522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-1\/6)*n*n*n**(-2\/51)*n*n**(-3)\/(n**(-27)*n))**(-2) assuming n is positive.\nAnswer: n**(-2767\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-3)*-3)\/(3*165\/(-90))?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28309.078 + 28277. Let x = -34 - -2. Let k = x - p. Round k to two decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -144130, -575751, -1295120, -2302237, -3597102, -5179715?\n\"Answer: -143874*l**2 + l - 257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -41.93 (b) -0.02 (c) -23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 28.23 centuries?\nAnswer: 33876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -178332, -178331, -178330, -178329, -178328, -178327?\nAnswer: -178326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11001 (base 2) in base 9?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28576 and 1292?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gogoogo. Give prob of picking 4 o.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 27 = -2*j, 5*j + 81 + 9 = 3*m. Let v be (-1250)\/14 + (-6)\/j. Let g = v - -166. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1669 a factor of 141028767?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.4149 - -86.4149. Let z = -12 + 102. Let j = z - t. Which is the nearest to -1? (a) 0.12 (b) 1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 3*p**2\/4 + 11763*p\/4 + 427017\/2 = 0.\nAnswer: -3847, -74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -79022 - 444*c + 79022 to d + q*c and give q.\nAnswer: -444","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-6) + 372\/9. Suppose -19 = -5*b + z. Round b to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(-12)\/(-18) + (-3 - 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -236*b + 338*b - 166*b.\nAnswer: -64*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - 4*f + 0*f)*(f**3 - 3*f + 3*f) - 2*f**4 - 4*f**4 + 4*f**4 + 5*f**3 - 3*f**3 - 3*f**3 - 3*f**4.\nAnswer: -7*f**4 - f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 228*a*v**3*z + a*v**2*z + 954*v**3*z - 98834*v**2 wrt v?\nAnswer: 1368*a*z + 5724*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 78 - 32. Suppose 2*b = 4*b - n. Suppose 12 = 5*k + 2*a, 4*k - 158*a + 155*a = -18. Solve k = 3*q + 4*l + b, l = -q + 4*l + 14 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32.52 - 0.48. Let f = r + 38. Which is the closest to -1? (a) -0.3 (b) -4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31944318601 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3 (b) 572 (c) 260\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.6 + 0.6. Let u = l - 4. Let f = 2.7 - 2.5. Which is the closest to f? (a) 0 (b) u (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 88*z**2 + 581*z + 26. Let d(i) = -17*i**2 - 112*i - 5. Let h(k) = -6*b(k) - 31*d(k). Suppose 3*l + 41 = -p, 3*l - 7 = 4*l - p. Determine h(l).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1.63, -1\/13, 79\/2 in descending order.\nAnswer: 79\/2, -1\/13, -1.63, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j + 1. Let o(x) = -21*x - 15. Let i(h) = 15*f(h) + o(h). Let z(a) be the second derivative of -5*a**3\/6 + 43*a. Determine z(i(w)).\nAnswer: 30*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 323828.\nAnswer: 2, 73, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -43.32 + 0.32. Let t = 43.081 + d. Let k = -0.08061 + t. Round k to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26608 times -0.02234?\nAnswer: 594.42272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1 + 1032*1 - 2?\nAnswer: 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4932, -4999, -5184, -5547, -6148?\n\"Answer: -10*y**3 + y**2 - 4923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in -1\/2, 31, -1\/6, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 4*t + 35. Suppose 9*s + 893 = 821. Let c be d(s). Let x(g) = -g**2 + 6*g. Let u be x(3). Solve c*h + u = 0, 0*p - 4*h - 22 = 5*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 624 and 7360080?\nAnswer: 7360080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.4, 1, -4, -56, -1\/4?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8793*g**4 - 120*g**2 + 232592*g + 10 wrt g?\nAnswer: -105516*g**2 - 240","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Is 16303211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -2*p - 65, -4*p = -4*i + 3*i - 5. Let k = -22 + i. Round k to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 2*h = 0, 0 = f + 4*f - 2*h - 21. Suppose 4*i - 8 = 4*b, 0 = -f*i - 3*b + 3 - 9. Suppose 2 = -i*v - 2*v. Let g(q) = 3*q**2 - 1. What is g(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + n - 79 = -3*s, 2*s - 73 = -3*n. What are the prime factors of s?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-44)\/16)\/((-2)\/2). Which is the smallest value? (a) t (b) 0 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -3*f + 25, -4*f + 16 + 9 = u for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 41 - (-426 + 438)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 330341 to the power of 1\/4, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y**2 - 138*y**3 - y**4 + 33*y**3 + 9 - 7 - y to the form s*y**4 + u*y**2 + j + r*y + d*y**3 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -16*m + 61. Let q(k) = -3*k + 12. Let j(c) = 11*q(c) - 2*z(c). What is j(-7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13833962.\nAnswer: 2, 2473, 2797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 10) to base 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 359?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 - 31. Let k = -14 - h. Differentiate 8*f + 8 - 1 - k with respect to f.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*(-3)\/9*3\/12.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -4079\/25774?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 6*a + 21 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-26)\/(-6) - 6)*-12. Suppose p - 24 = -g. Let t be 4\/3*6\/(-4). Put g, -8, t in increasing order.\nAnswer: -8, t, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (13\/4 + -3)\/(4\/496). What is the highest common divisor of s and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7094699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 161039612?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10\/41? (a) -0.3 (b) 1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 5. Suppose i = 5*f - 11. What is the units digit of -6 + f + 0 + 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -44 + 79?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -5*y - 3*z + 15, 4*y - z = 12. Solve -y*q - 3 + 0 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -98*j**2 + 38 + 258*j**2 - 26 + j in the form a*j**2 + b*j + w and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, -16, -31?\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 76.33807 kilograms?\nAnswer: 76338.07","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 390 and 8?\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**12*t**(-1\/8))**(15\/8) assuming t is positive.\nAnswer: t**(-1335\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**2 + 0*f**2 - 14*f + 37*f - 23*f.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(180)*1*-5 - ((5*(sqrt(180) + -1))**2 + sqrt(180)).\nAnswer: -4525 + 264*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1224, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/(-2))\/((-3)\/(-2)). Let f be (-4)\/6*3\/(-4). Let o be 1\/(-3) - 1\/3. What is the nearest to z in -5, f, o?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103.3259ug to nanograms.\nAnswer: 103325.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 1. Let o be 1*15\/(2 - j). Suppose 4*v + 0*g + 5*g - 82 = 0, 2*v - 26 = o*g. Does 11 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 265494896 a multiple of 204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of h**4\/24 + h**3 + 2*h**2. Let m be v(-4). Suppose -3*p - 5*i - 21 = 0, -7 = p + i + m*i. Which is smaller: p or -6?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 (base 7) in base 8?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/(-4))\/((-18)\/(-12)). Let s(c) = -c**3 + c - 1. Let d(p) = 9*p**3 - 4*p + 3. Let l(v) = d(v) + 4*s(v). Let q be l(b). Solve -2 - q = -2*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1370 divided by 85?\nAnswer: -274\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b4ae (base 15) to base 9.\nAnswer: -57342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -9*h**5 - 575*h**4 - 2609*h**3 - 693*h**2 + 4358*h - 472 = 0.\nAnswer: -59, -4, -2, 1\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.6 and -326?\nAnswer: -195.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of -4*o**7\/147 + 2*o**6\/35 + 4*o**5\/35 - o**4\/7 - 4*o**3\/21 + 482*o. Suppose f(i) = 0. Calculate i.\nAnswer: -1, -1\/2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llvlllllvvl. What is prob of picking 3 l?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/59 not equal to 28964?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5 - (7\/21)\/((-6)\/(-171))*-106.\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 93 + -12. Suppose i*h = 70*h + 363. Let t = 9 + 22. Which is greater: h or t?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 8 = -4*b, 2*b + 3*c = 4*b + 6. Suppose 4*a = 10*k - 9*k + 676, b = 2*k + 2*a + 1362. Round k to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 301.146 to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4877901 divided by -1625967\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u + 0*u + 2*u**2 + (u**2 + u**2 - u**2)*(-2 + 0 + 4) - u**2 - 2*u**2 + 2*u**2 - 3*u**2 - 3*u**2 + 4*u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 188.4757 litres?\nAnswer: 188475.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12886 and 2724862?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 1950?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, -139, -2 in decreasing order.\nAnswer: 4, 3, -2, -139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -1677419?\nAnswer: 167741.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-6*(sqrt(104) - sqrt(104)*-4))\/(2*sqrt(288)).\nAnswer: -5*sqrt(13)\/2 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/120*-8)\/2.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94133949 is divided by 94?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 PM and 3:44 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1050, -966, -882, -798, -714?\nAnswer: -630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - 1. Let l = 0 - 4. Let v = s + l. What are the prime factors of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -139305 + 86784.865.\nAnswer: -52520.135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 349829?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s - 3*s + 6*s)*(285*s**2 + 96*s**2 + 8*s**2).\nAnswer: 389*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 - 7*q**2 + 3*q - 7. Let p be u(-6). What are the prime factors of 5 + (5 - p)\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*l + 26*l + 85872 = 0. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11*b*l + 139096*b + 1200775*l wrt b.\nAnswer: 11*l + 139096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/9, -2\/5, 243090756?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.037 * 0.1\nAnswer: -0.0037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/154496 and 83\/10304?\nAnswer: 24873856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2992599?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129*c + 14*c + 32*c.\nAnswer: -83*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -8*l**3 - 2*l**2 - 2*l + 2. Let q(r) = -r**3 - r**2 - r + 1. Let p = -13 + 18. Let z(d) = p*q(d) - t(d). Factor z(g).\nAnswer: 3*(g - 1)**2*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1483113.\nAnswer: 3, 43, 11497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 79, 23, -29, -77, -121, -161?\n\"Answer: 2*z**2 - 62*z + 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6721544 a multiple of 124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/13*t**2 - 54\/13*t - 116\/13.\nAnswer: 2*(t - 29)*(t + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, z: 1}. What is prob of picking 1 q and 1 z?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2344 - 1262. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55058*f + 10068*f + 165220*f + 323748*f.\nAnswer: 443978*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**3\/7 - 180*m**2 - 53199*m\/7 - 593538\/7.\nAnswer: -3*(m + 23)**2*(m + 374)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/39 or 11?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -o**4\/3 - 5*o**3\/3 - 8*o**2\/3 - 4*o\/3 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 299 a factor of 1222874573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35197729, -35197720, -35197709, -35197696?\nAnswer: -35197681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 k when two letters picked without replacement from rbprrptkkp?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 20854\/(-8)*(118 - 122) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-1806)\/(-7525))\/(6\/(-20)))\/((-1)\/(-50))\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5382 and 102.\nAnswer: 91494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2036 - 2018. What is the nearest to 5 in q, -3, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -730*w**2 - 631?\nAnswer: -1460*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48\/(-18))\/((-2)\/(-3)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99*i**2 + 100*i**2 + 106*i**2 - 10*i - 304*i**2.\nAnswer: i**2 - 10*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/25 in 2, 3, 1.7, 4?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -50\/73 less than or equal to -19\/32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -278, -2128, -7210, -17174, -33670, -58348?\nAnswer: -92858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 0 - 2\/5*u**2 - 138*u = 0.\nAnswer: -345, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 5*u - 27 = 0, 0 = -2*i + 3*u + 14 + 5. Let m = 41 - 31. Is i greater than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68328*y - 273215*y + 68303*y + 68345*y + 68368*y.\nAnswer: 129*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 3*u**2 - 5*u + 2. Let a(n) = -4*n**2 + 6*n - 1. Let h(j) = -4*a(j) - 5*b(j). Let c(s) be the first derivative of h(s). Give c(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1\/4, -0.2, -0.04, 0, 15 in decreasing order.\nAnswer: 15, 1, 0, -0.04, -0.2, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 390624165 and 47565?\nAnswer: 6795","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 26.1 (c) -321 (d) -0.1 (e) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 5*k + 96 = 11240, -2*v + 3*k = -22295. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 1. Let h(k) = k + 16. Let i(z) = h(z) - 4*q(z). Let p be i(-17). Let c be 15 + (20\/p - -4). Solve -d + 4*d = c for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l**2 - 3*l**2 - 2*l**2)*(17*l**2 + 4*l**2 + 0*l**2)*(2*l - 2*l - l)*(3 + 1 - 2)*(-1 + 0 + 2).\nAnswer: 42*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -5*o**2 + 2*o - 4. Let b(x) = 26*x**2 - 11*x - 1. Let u(q) = 28*q**2 - 12*q - 3. Let v(z) = 7*b(z) - 6*u(z). Determine 8*t(h) + 3*v(h).\nAnswer: 2*h**2 + h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8450*n**4 + 335955360*n**3 + 3339236053532*n**2 + 102745486176*n + 790349282 = 0. Calculate n.\nAnswer: -19879, -1\/65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -8.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 3, 3*w - 100 + 78 = 5*a. Sort -26, a, -6 in ascending order.\nAnswer: -26, -6, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118973467 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 88 and 44.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24469, 49040, 73687, 98416, 123233, 148144?\nAnswer: 173155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*y - 1 = -6*y - 2*s, -5*s = 5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 171.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 e when three letters picked without replacement from {b: 2, n: 3, e: 1, a: 1, q: 3}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 - 11*a - 7. Let z be d(-10). Suppose 87 = z*c + 18. What are the prime factors of c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 11 - 19. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 606, -1, 0.1, -0.4 in increasing order.\nAnswer: -1, -0.4, 0.1, 606","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 - r**2 - 1. Let s(w) = 4*w**2 - 4*w - 12. Let g(q) = -s(q) + 4*u(q). Factor g(j).\nAnswer: -4*(j - 1)*(j + 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -602, -1004, -1406, -1808, -2210, -2612?\n\"Answer: -402*p - 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, n: 5, s: 7, w: 3}. Give prob of picking 1 n and 3 w.\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11.1 + -484.1. Let i = x - -473. Which is the biggest value? (a) -2\/11 (b) i (c) 4 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5 >= -1\/73120?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, k: 1, n: 2, j: 4}. Give prob of picking 1 j and 1 u.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of (21756\/8)\/(31\/248)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18387798?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 divided by 3?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -18, -5, 5, -200, 112, -7.\nAnswer: -200, -18, -7, -5, 4, 5, 112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 - 3*a**2 + 4*a + 2. Let d(t) = 2*t**2 - 5*t - 5. Let z be d(-1). Let l be k(z). Solve 7*n - 5*n = l for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6147\/(-6)*(-2)\/3. Suppose 5*n - v - 692 = 0, -5*n - 4*v = -j - 24. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2126, 2131, 2140, 2153, 2170, 2191, 2216?\n\"Answer: 2*y**2 - y + 2125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176 is divided by 62?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -22*k + 2. What is p(-2)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 3*y + 6, 2*y - 7*y - 31 = -2*n. Sort n, 0, 15.\nAnswer: 0, n, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170*z + 31059 = 163*z - 350*z for z.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -177*o**2 - 143*o**2 + 3*o - 3*o + 321*o**2.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 277965 is divided by 46326?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 66 - 64. What is the tens digit of 5300\/45 - -1*b\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 + 4*u + 3. Suppose 88 = h + 3*h. What is the remainder when h is divided by q(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/2279904 and -38\/381.\nAnswer: 2279904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -12. Suppose c*d + 2*d = 102. Let z = d + 1. Solve 0 = -4*l + 3*q + 1 + 7, 0 = -2*l + 5*q + z for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + 15*t**2 - 3*t - 18. Suppose -5 - 10 = 2*g - 3*m, g - 5 = 4*m. Let b be j(g). Solve 5*h - b = -2 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/88 and 59\/3?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4637, -4386, -3967, -3380, -2625?\nAnswer: -1702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/21, 2\/3, -1, -1\/8, 1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01759056 to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12864 and 201.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 678*n = -670*n + 1347*n + 40 for n.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/(-2))\/(1\/8). Suppose k*h - 12 = -0*h. Suppose 2*c - 9 = -n, -8 = -h*c + 6*n - 2*n. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f + 3. Let s be j(-2). Let l(n) = -n + s - 1. Let h(o) = 3*o. Determine l(h(d)).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 3*m**2 - 91212*m + 364800 = 0.\nAnswer: 4, 30400","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = b - 7*z + 13, -2*b - 14 = -2*z for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 32 (base 6) to base 8\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -34053*d + 3. Let m be z(1). Let c be m\/(-20)*(-6)\/(-5). Let o = c + -1166. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 4*c - 125. Round c to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/27 and -56\/4215?\nAnswer: 37935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -261*u + 4. Let n(l) = -92*l + 1. Let r(q) = 6*m(q) - 17*n(q). What is r(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o - 1. Let m(p) = -p**2 + 15*p - 16. Let v(a) = m(a) - 5*n(a). Is v(6) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 17, -0.5, 27.1, 5?\nAnswer: 27.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 28*n**2*v**2 + 3*n**2*v + 207*n**2 with respect to v.\nAnswer: 56*n**2*v + 3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 273 = 104*l - 503 - 56 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = -5*h. Let l(a) = -a**2 + a + 64. Let d be l(h). What is the highest common divisor of 8 and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 AM and 12:22 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 + 12*c - 14. Let x be z(10). Suppose -x*b = b + 14. Let p(q) = -2*q**3 + 2*q**2 - 6*q - 10. What is the remainder when p(b) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/k**(-11)*(k\/(k\/(k\/k**(-11)))*k)\/k assuming k is positive.\nAnswer: k**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**2 - h**4 + h**2 - 6*h**4 - h**4 - h**4 + (5*h**2 - h**2 - 2*h**2)*(-4*h**2 + 3*h**2 + 0*h**2) + 29*h**4 + 6*h**2 - 6*h**2.\nAnswer: 18*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16382 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -170 (b) 41.1 (c) -82 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9 + 6?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -2*(2 + ((sqrt(78) + -5*sqrt(78)*2 + sqrt(78) - sqrt(78))\/(sqrt(36)\/sqrt(6)*-2))**2).\nAnswer: -1065\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*d*u**5 - 21*d*u**2 + 6*d*u + 95*u**5 wrt u.\nAnswer: -120*d*u**2 + 5700*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6914429 is divided by 644.\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(8\/9)\/y)\/y)**26*(y**(11\/4))**(9\/5) assuming y is positive.\nAnswer: y**(-4309\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 286 + -197. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 182 - 33. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 2. Let d be (-2)\/(-5) - 22\/5. Let u = c - d. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/3 + 4*s - 15.\nAnswer: (s - 3)*(s + 15)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 6 = 3*p + 7*l, 4*p + l = 9. Suppose 79*j = 71*j + 16. Suppose 8 - 6 = y. Solve y*r = j*n - 2, -p*r = -n - 0 - 7 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 16 + 11\/(77\/(-42)). Suppose -5*z = b, 0 = -2*h - h - 4*z + 886. What are the prime factors of h?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v**2 - 6*v + 21. Let l be g(3). Let u = -19 + l. Suppose 0 = u*m - 4*w + 304, 5*m + 2*w + 835 = -3*w. Round m to the nearest ten.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -176 + -25?\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 28914732 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 105150533 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0, 0.3, -361, -0.06, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 2*j + 80, 2*n + 2*j = -26 - 10. Let d be (-9 + 6)*n\/2. Suppose -32*p = -d*p + 7. Solve 4*m + 30 + 2 = 4*z, m = -4*z + p for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006592 rounded to 5 decimal places?\nAnswer: 0.00066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3797770, 7595545, 11393322, 15191101?\n\"Answer: z**2 + 3797772*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*d - 5*d + d)*(-2 + 1 + 2 + (1 + 1 + 0)*(16 + 65 - 130) - 2 + 2 + 2) to x + m*d and give m.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/3963245 and 53\/1032746.\nAnswer: 1244458930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 + q - 1. Let o(p) be the first derivative of -17*p**3 - 17*p**2\/2 + 17*p + 448. What is -o(b) - 17*r(b)?\nAnswer: 34*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2437 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of 11*n**7\/21 - 25*n**4\/4 - n + 58. Find the third derivative of i(t) wrt t.\nAnswer: 1320*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*1285\/50 + 5\/(-50). Calculate the highest common factor of f and 91.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1241 + 2?\nAnswer: 1243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -63718 by -1.\nAnswer: 63718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33642330 and 460?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/25 of a hour?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8028?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 129 from 4474.\nAnswer: 4345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2933 is divided by 72.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - 0. Let l = -31.413 + 0.013. Let t = l + 31. What is the biggest value in c, t, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -354*k + 148 = -7*t + 4*t - 353*k, -29*t - 29*t = -4*k + 2938 for t.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23679, 23774, 23913, 24096?\nAnswer: 24323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a second in milliseconds?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 231438 is divided by 179.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/4218*3 - ((-1820)\/494)\/(-35)\nAnswer: -4\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32605773?\nAnswer: 3, 29, 89, 4211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-95)\/(-57))\/(1\/18). Let t = 43 - h. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 8 = 0, -3*m = -5*k + 8*k + 21 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 5*d = -10, 5*d + 8 = 5*x - 17 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 197201 and 14744?\nAnswer: 1577608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 3:45 PM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of p**5\/2 - 5*p**3\/6 - 3. Factor a(v).\nAnswer: 5*v**2*(v - 1)*(v + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 580*f - 180*f + 207*f to b + s*f and give s.\nAnswer: 607","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2757256 to 4 dps.\nAnswer: -0.2757","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180 is divided by 86.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**2 + 2240066. Let s be t(0). Suppose 5*y + 1759934 = -s. What is y rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*v - 6795 = -7545. Calculate the remainder when 1547 is divided by v.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7124 rounded to one dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -9.1. Let g = 93\/44 + -15\/11. Which is the third smallest value? (a) g (b) x (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1392 - 219*c**3 - 691 - c - 697 wrt c.\nAnswer: -1314*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 (base 7) in base 13?\nAnswer: b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(70)\/sqrt(5)*2)\/sqrt(2))**2 - (2 + ((sqrt(224)\/sqrt(4))\/sqrt(8) + sqrt(7) - sqrt(7)))) + -5.\nAnswer: -sqrt(7) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18178582397 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttttttittti. What is prob of picking 1 i and 2 t?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (45\/10 - 5)\/(2\/4). Which is the closest to 2\/7? (a) -2 (b) -0.5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 84 = 4*s, -4*r = -30*s + 27*s + 85. Solve 2*a + 2*a = 5*c - s, 5*c = 15 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2153 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 - 61*k**2 + 3*k - 180. Calculate w(61).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.7 in -0.95, 9.61, -3?\nAnswer: -0.95","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t**3 - 3*t**2 - 3*t + 10. Is n(-5) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14723*k**5 + 1338*k**2 - 2*k.\nAnswer: -883380*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -445067, 2, 5, -16 in decreasing order.\nAnswer: 5, 2, -16, -445067","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 3 + 0 = 4*r, -4*r + 4*g - 4 = 0. Let s = 0.35 - -0.05. Let z = s + 2.6. Which is the nearest to r? (a) -1 (b) -0.3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122490671 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -cc3a4d (base 14) in base 6?\nAnswer: -404232501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-290)\/(-6) + (-14)\/(-21). Let u = 9 + -2. What is the greatest common factor of n and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 1183*g + 4. Let z(a) = -4726*a - 17. Calculate -9*m(i) - 2*z(i).\nAnswer: -1195*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*v**3 + v**3 - 5*v**3)*(-16 + 7 - 14) + 3*v**3 - 471*v + 471*v as l*v + d*v**3 + r + x*v**2 and give d.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 - -26. Solve -2*h - 3 = 5*f + 7, 0 = -c*f + 2*h - 10 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000007026465736 to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4544529848?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1575651 and 1575651.\nAnswer: 1575651","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f - 9. Let j be z(-6). Suppose j*t + 2*t - 30 = 0. What is the first derivative of 3 + 8*b - t*b - 9*b wrt b?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x\/(x\/(x\/x**(-19))))*(x\/(x*x**43*x))\/x*(x*x**(1\/39))**(-2\/13) assuming x is positive.\nAnswer: x**(-32528\/507)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 55564 and 174?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -0.41, 66, -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let a = -244 + 140. Let u = a + 62. Let s = u + 82. Calculate the greatest common factor of 5 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 336 = -31*i + 10*i. Let v be 18\/i + (-1078)\/84 + 13. Which is smaller: -1 or v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 310810244?\nAnswer: 2, 263, 439, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**5\/7 + 1192*o**4\/7 + 7278*o**3\/7 - 32516*o**2\/7 + 4744*o\/7 + 6192 = 0. Calculate o.\nAnswer: -9, -1, 2, 602","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 83713 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 + 177 = 2*t. Does 15 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94709 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k + 1. Let z be b(-1). Suppose -7*v = -15 - 13. What is the first derivative of z*h**4 + 5*h**v + 0*h**4 + 1 wrt h?\nAnswer: 20*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1146427 and 2863?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/3? (a) 1 (b) 1\/2 (c) 1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.0930982 - 1.2068872. Let i = 74 + -77.3. Let s = i - d. What is s rounded to 6 decimal places?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-7 + 28\/2)) + 4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 15\/(-4)*(-14196)\/525. Factor 12\/5 - x*q**3 + 144\/5*q + 351\/5*q**2.\nAnswer: -3*(q - 1)*(13*q + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-30 - -7) + -7 + 1 + (-5 - -7).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3476*f*i + 27*f - i - 10 wrt i.\nAnswer: -3476*f - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -5*f**3 - 68*f**2 + 40*f + 8. Is 40 a factor of y(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 71070\/307 or 231?\nAnswer: 231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43042*k + 35864*k - 8215*k.\nAnswer: 70691*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -2930 to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 - 663*s - 18575. Give g(-26).\nAnswer: -661","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)*-1 + -3)**2.\nAnswer: 18*sqrt(17) + 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -350.976*4.\nAnswer: -1403.904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.089606 * 2.1.\nAnswer: 0.1881726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 295 - 434. Let b = v - -136.53. Let w = -4.2 - b. What is w rounded to 1 decimal place?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*n**3 - 482*n**3 + 46*n**3.\nAnswer: -427*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.91 - -0.51. Put w, -4, 0.4 in ascending order.\nAnswer: -4, w, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w. Let s(d) = -d**2 + d - 5. Let q be s(0). Let l(m) = 2*m. Give q*l(z) + 6*f(z).\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -1582*c**2 + 483. Let w(n) = 1584*n**2 - 468. Let l(v) = 2*w(v) + 3*x(v). Differentiate l(a) with respect to a.\nAnswer: -3156*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 9*u**3 - 2*u**2 + 10*u + 18. Let r be 1 + (-24)\/26 + 2 + 354\/(-39). Let c(n) = -8*n**3 + 2*n**2 - 9*n - 17. What is r*c(l) - 6*b(l)?\nAnswer: 2*l**3 - 2*l**2 + 3*l + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29248 = -2*q - 29264, -20 = -4*l + q for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 9*n + 5*n + 71, -n = -5*i - 59. Calculate the common denominator of i and (-2)\/(-1)*6\/10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a milligram in micrograms?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -773, -723, -669, -611, -549?\nAnswer: -483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 48, -10, -2, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 5*b + 6. Let r(w) = 4*w + 1985*w**2 - 1984*w**2 - 4*w. Calculate a(r(o)).\nAnswer: 5*o**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 + 13*q - 11. What is the remainder when 18 is divided by t(11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1921\/51)\/((-45)\/(-4050)*-30)\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + 5*o**2 - 3*o - 1. Let n be r(4). Suppose -n*j + 6 = -0*j. Suppose 6*y + w - 16 = j*y, 4*w = -5*y + 31. Solve y*t - 2*t = -5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 166604, 333217, 499816, 666395, 832948, 999469?\n\"Answer: -b**3 - b**2 + 166623*b - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2379?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -70*c**3*s**2 - 444*c**3*s - 324*c**2*s**2 - 2*c**2*s - 36*c**2 + 2*c*s**2 - 3*s**2 + 6*s wrt s.\nAnswer: -140*c**3 - 648*c**2 + 4*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13211380?\nAnswer: 2, 5, 7, 13, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 3 = 7*a. Calculate the lowest common multiple of (14\/28)\/(a\/88) and 14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of -5*t**9\/504 - t**6\/60 - t**5\/30 + t**4\/8 + 231*t**2. Find the third derivative of r(f) wrt f.\nAnswer: -600*f**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -7*j**2. Let n(o) = 3*o - 8. Give f(n(u)).\nAnswer: -63*u**2 + 336*u - 448","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - -35. Suppose 0 = 2*t - 2*u - r, -3 = 2*u + u. Let h = -8 + 13. Solve -t = -2*p + h*w, -3*w - w - 28 = -4*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 525 and 4048093?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5086 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 110, 197, 284, 371, 458, 545?\n\"Answer: 87*y + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*s + 9934 = 24*s. Let u = s + -357653\/36. What is the common denominator of 59\/12 and u?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 44098, 88183, 132268?\n\"Answer: 44085*l + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, v: 1}. Give prob of picking 1 x and 1 v.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 12*y**2 + 81*y - 877. Let b be (16\/2)\/((-2)\/(-21)). Suppose 0 = -0*h - 4*h + b. Calculate the remainder when c(6) is divided by h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 113 = 4*f + 261, 0 = -2*f - 4. Suppose -118 = -6*p + n. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 493 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/3, 3\/31, -4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 10) to base 3\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1688 divided by 1.\nAnswer: 1688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 AM and 10:51 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 5*c**2 - 3*c - 2. Suppose 0 = -19*t + 1149 + 29. Calculate the remainder when t is divided by j(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -t + 411, -3*u + 318 = -477*t + 481*t. What is the highest common divisor of u and 4454?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4160020 by -1040005.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (18 - 20) + 21 + (4 - -7)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3591435 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 + 2*m**2 + 163*m + 493. Let d be i(-3). Let x = 11.01 + -0.01. Put x, -2\/3, d in decreasing order.\nAnswer: x, -2\/3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 434 = 4*p - p + 2*c, -2*c + 146 = p. Calculate the remainder when p is divided by 37.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -2*n**4 - 20552*n**3 + 47620814*n**2 - 47559148*n - 95200512 = 0.\nAnswer: -12224, -1, 2, 1947","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + -22001333020031?\nAnswer: -22001333020101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of -i**5\/15 + i**4\/3 + 2*i**3 + 5*i**2 + 15*i. Find l such that v(l) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -257 divided by -8\nAnswer: 257\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 10 = -o - 3, 7 = -4*r + 5*o. Solve -r*h + 5*h + 9 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11111001110110 - -111101?\nAnswer: -11111000111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 3)*(-2*y + 21*y - 12*y).\nAnswer: 14*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 + 1ad9b62?\nAnswer: 1ad9b68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 49727 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 9*s. Let y be z(-4). Let d = y + 64. Solve 0 = -4*w + 4*u - d, w - 2*w + 5 = 3*u for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-5))**(-5\/9)*l\/(l\/((l\/(l\/l**(-1)))\/l))*l\/(l\/(l**(-20)*l*l)) assuming l is positive.\nAnswer: l**(-155\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(3*(-4)\/(-18)). Let d(m) = 1 + s*m - 2*m + 0*m. Let v be d(-4). Let p(c) = -c**2 - 3*c + 3. Let h(f) = -f**2 - 2*f + 2. What is v*h(j) + 2*p(j)?\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from evnevnneqlelevvlvq. What is prob of picking 3 l?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218 is divided by 23?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176) + 1 + sqrt(176) + -2)**2 + ((sqrt(176)*-1 - sqrt(176))*6 - sqrt(176) - sqrt(176))**2 + -2)*-2 + 4.\nAnswer: -70394 + 32*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 544, 4330, 14600, 34594, 67552, 116714, 185320, 276610?\n\"Answer: 540*r**3 + 2*r**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sjjjwwss. Give prob of picking 2 s, 1 w, and 1 j.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2 + 34268*w - 137008.\nAnswer: -4*(w - 8563)*(w - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 0.099988?\nAnswer: 0.099988","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/2 + (7 - 4). Let f = -9 + 14. Suppose -3*n - 3*o = -o - 9, -f*o - 15 = g. Is 3 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20121112020 (base 3) to base 10.\nAnswer: 130146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**2\/9 - 494*r + 83752\/9 = 0 for r.\nAnswer: 19, 2204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2391 - 2378. Let s(o) = -o**2 + 2*o + 1. Let w be s(2). Calculate the greatest common divisor of w and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -191.3 in -5, 0.1, 6\/25, 2\/15?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmlmgmmzzzozssm. What is prob of picking 1 l and 1 m?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -287 + 76. Let a = p - -209. Is 2.9 > a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 309.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a + 9. Let s be m(-7). Suppose -5*v - 26 = o - 3*o, 2*v = -8. Let c(g) = -s*g - 6 - g**o + 3*g + 0*g. Give c(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27\/5 + 91\/15. Let d = 12.8 + -10.8. What is the fourth smallest value in d, -5, x, 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-j + 2*j + 0*j)*(0 + 0 + j**3) - 58658 + 18*j**2 + 7*j**4 + 58658 in the form d*j + c + q*j**2 + z*j**4 + k*j**3 and give q.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*f - 60*f - 14364 = 5*b, 3*f = -4*b + 43206. Is f a multiple of 133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 6*s**2. Let q(h) = 57656*h**2. Determine u(q(j)).\nAnswer: 19945286016*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of -4*v - v**2 + 4\/3*v**3 + 6 - 9\/4*v**4. What is the tens digit of r(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 22 = 2*g. Let b = g - 8. Suppose b*s - 12 = 3. Does 5 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -39 + 38.93. Let t = -0.57 - y. Which is the third smallest value? (a) -3 (b) t (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 + 9*y**3 + 18 + (-y**2 + 5*y**2 - 2*y**2)*(-1 - y + 1) + y**3 + y**3 - y**3)*(373 - 20*y**2 - 373).\nAnswer: -160*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -50 + -7 + 0 + -23 + 33.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 16*x**2 + 2*x - 8. Is p(-3) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f + 16. Let s be p(9). Factor 0*h**5 - h**5 + s*h**4 - h**4 - 3*h**3 - 2*h**5.\nAnswer: -3*h**3*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6333.787 rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -31 - (9 + -59 + -35 + -32)\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 6 (b) 71 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/((-40)\/(-3987)) - 6\/15 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -2\/5, -4844 in descending order.\nAnswer: 0.2, -2\/5, -4844","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21 + 56. Let f = p + -55. Suppose -3*t + 26 = -16. What is the least common multiple of f and t?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -2) + 0 - 5 - (-794 + 788).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78401 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 345312?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (35\/(-4))\/(5\/(-20)) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 278953480?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/216 - 2381\/1080. Let v = p + 2. Which is the third smallest value? (a) v (b) -0.5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 + 5*o**2 - o - 154. What is x(0)?\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-10)*11315\/(-62). Put 3, -5, d in decreasing order.\nAnswer: d, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -27 (b) 2\/21 (c) -3 (d) -6 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/17*x**4 - 6\/17*x**3 + 0*x + 0 + 0*x**2.\nAnswer: 2*x**3*(x - 3)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p - 2156 = -73*p + 10*p. Suppose -2*o + o = -54. What is the remainder when o is divided by p?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 - 20 = -9*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -21808*g*i - 5*g + i - 11267 wrt i?\nAnswer: -21808*g + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-19)\/(-76))\/((-1)\/(-12)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 6*q + 7*q + 30 - 30. Let j(a) be the first derivative of -a**2\/2 + 1. Give p(j(x)).\nAnswer: -13*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kklkl. Give prob of sequence kkkl.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18959, -18960, -18961, -18962, -18963?\nAnswer: -18964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-29)\/(-9) + (-2)\/9. Let x = 23 - 18. Let v be (-2)\/(-10) - (-29)\/x. Calculate the highest common factor of c and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 - -0.3. Let n = 516.863 + -485.863. What is the nearest to 0.1 in h, -5, n?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 11*d - 1. Let h(a) = -1807*a**2 - 53. What is h(n(q))?\nAnswer: -218647*q**2 + 39754*q - 1860","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -444*n - 5*n**2 - 369*n + 895*n in the form m + p*n**2 + a*n and give a.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 3*q + 16, -2*q = 2*n + 17 - 1. Suppose -22 - 4 = -2*h. Let y(g) = 6 + 10*g - 19*g + h*g. Calculate y(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(448) + -2 + sqrt(63)\/(-2*sqrt(9)))**2)*-1.\nAnswer: -1571\/4 + 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 6 in ascending order.\nAnswer: -5, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**1)**(-50\/3))**(2\/101) assuming c is positive.\nAnswer: c**(-100\/303)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-216)\/45 + 4)*5\/(-20). Let p = 5.04 - 0.44. Let u = p - 0.6. What is the closest to o in u, -0.1, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 259\/1181765 or 0?\nAnswer: 259\/1181765","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that v**3 - 44*v**2 - 177*v + 5940 = 0.\nAnswer: -12, 11, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**(-17)*i)**13\/(i**(-7\/10)*i)**36 assuming i is positive.\nAnswer: i**(-964\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 96742756 divided by -997348?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -4*m - 25, -4*m = -2*h - 2*h + 20. Suppose a = h*r - 5, r - 1 + 0 = 3*a. Solve 5*c + 5 = -3*i + 28, a = -c + 2*i + 2 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2312*y**2 + 10. Let o(k) = -4621*k**2 - 17. Give 7*c(a) + 4*o(a).\nAnswer: -2300*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 5*r**2 - 3*r - 9. Let v(d) = -6*d**2 + 2*d + 10. Let n(z) = 7*a(z) + 6*v(z). What is the remainder when -9*(5 + (-232)\/24) is divided by n(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.8 - -0.1. Let j(f) be the first derivative of -f**2\/2 + 4*f - 21. Let p be j(1). Which is the third smallest value? (a) p (b) -5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -45 in 3, -1\/6, 1\/3, 0.4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 + 102*z**2 + 833*z - 173. What is the ten thousands digit of t(108)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6607441?\nAnswer: 17, 388673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.000004 rounded to 1 dp?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 147b14 (base 13) in base 14?\nAnswer: d133a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -474 + 2845\/6. Sort 0.135, -0.5, a, 0.2.\nAnswer: -0.5, 0.135, a, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 AM and 11:48 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -4*i. Let u(k) = -708*k + 719. Determine u(c(l)).\nAnswer: 2832*l + 719","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -6 (b) -5 (c) 3\/2 (d) -902 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}